[doc] useless LaTeX removed (continue) 59/20859/7
Samuel GOUGEON [Sun, 17 Feb 2019 00:52:30 +0000 (01:52 +0100)]
Change-Id: I451be7350585072caa440442f12ffaf5b3415154

101 files changed:
scilab/modules/core/help/en_US/variables/predefined/percente.xml
scilab/modules/core/help/en_US/variables/predefined/percentpi.xml
scilab/modules/core/help/ja_JP/variables/predefined/percente.xml
scilab/modules/core/help/ja_JP/variables/predefined/percentpi.xml
scilab/modules/core/help/ru_RU/variables/predefined/percentpi.xml
scilab/modules/differential_equations/help/en_US/bvode.xml
scilab/modules/differential_equations/help/ja_JP/bvode.xml
scilab/modules/differential_equations/help/ru_RU/bvode.xml
scilab/modules/elementary_functions/help/en_US/floating_point/ceil.xml
scilab/modules/elementary_functions/help/en_US/floating_point/floor.xml
scilab/modules/elementary_functions/help/en_US/matrixoperations/cross.xml
scilab/modules/elementary_functions/help/en_US/trigonometry/csc.xml
scilab/modules/elementary_functions/help/en_US/trigonometry/cscd.xml
scilab/modules/elementary_functions/help/en_US/trigonometry/sec.xml
scilab/modules/elementary_functions/help/en_US/trigonometry/secd.xml
scilab/modules/elementary_functions/help/en_US/trigonometry/sech.xml
scilab/modules/elementary_functions/help/fr_FR/floating_point/floor.xml
scilab/modules/elementary_functions/help/fr_FR/trigonometry/csc.xml
scilab/modules/elementary_functions/help/fr_FR/trigonometry/cscd.xml
scilab/modules/elementary_functions/help/fr_FR/trigonometry/sec.xml
scilab/modules/elementary_functions/help/fr_FR/trigonometry/secd.xml
scilab/modules/elementary_functions/help/fr_FR/trigonometry/sech.xml
scilab/modules/elementary_functions/help/ja_JP/floating_point/floor.xml
scilab/modules/elementary_functions/help/ja_JP/matrixoperations/cross.xml
scilab/modules/elementary_functions/help/ja_JP/trigonometry/csc.xml
scilab/modules/elementary_functions/help/ja_JP/trigonometry/cscd.xml
scilab/modules/elementary_functions/help/ja_JP/trigonometry/sec.xml
scilab/modules/elementary_functions/help/ja_JP/trigonometry/secd.xml
scilab/modules/elementary_functions/help/ja_JP/trigonometry/sech.xml
scilab/modules/elementary_functions/help/pt_BR/floating_point/floor.xml
scilab/modules/elementary_functions/help/pt_BR/trigonometry/sec.xml
scilab/modules/elementary_functions/help/pt_BR/trigonometry/secd.xml
scilab/modules/elementary_functions/help/pt_BR/trigonometry/sech.xml
scilab/modules/elementary_functions/help/ru_RU/floating_point/ceil.xml
scilab/modules/elementary_functions/help/ru_RU/floating_point/floor.xml
scilab/modules/elementary_functions/help/ru_RU/trigonometry/sec.xml
scilab/modules/elementary_functions/help/ru_RU/trigonometry/secd.xml
scilab/modules/elementary_functions/help/ru_RU/trigonometry/sech.xml
scilab/modules/helptools/images/INTRP2BLK_f.png [deleted file]
scilab/modules/helptools/images/_LaTeX_CBLOCK.xml_1.png [deleted file]
scilab/modules/helptools/images/_LaTeX_CBLOCK.xml_2.png [deleted file]
scilab/modules/helptools/images/_LaTeX_C_struct.xml_1.png
scilab/modules/helptools/images/_LaTeX_C_struct.xml_2.png
scilab/modules/helptools/images/_LaTeX_C_struct.xml_3.png [deleted file]
scilab/modules/helptools/images/_LaTeX_C_struct.xml_4.png [deleted file]
scilab/modules/helptools/images/_LaTeX_C_struct.xml_5.png [deleted file]
scilab/modules/helptools/images/_LaTeX_C_struct.xml_6.png [deleted file]
scilab/modules/helptools/images/_LaTeX_END_c.xml_1.png [deleted file]
scilab/modules/helptools/images/_LaTeX_FROMWSB.xml_1.png
scilab/modules/helptools/images/_LaTeX_FROMWSB.xml_2.png
scilab/modules/helptools/images/_LaTeX_FROMWSB.xml_3.png [deleted file]
scilab/modules/helptools/images/_LaTeX_FROMWSB.xml_4.png [deleted file]
scilab/modules/helptools/images/_LaTeX_FROMWSB.xml_5.png [deleted file]
scilab/modules/helptools/images/_LaTeX_FROMWSB.xml_6.png [deleted file]
scilab/modules/helptools/images/_LaTeX_GENSIN_f.xml_1.png [deleted file]
scilab/modules/helptools/images/_LaTeX_PerteDP.xml_1.png [deleted file]
scilab/modules/helptools/images/_LaTeX_QUANT_f.xml_1.png [deleted file]
scilab/modules/helptools/images/_LaTeX_QUANT_f.xml_2.png [deleted file]
scilab/modules/helptools/images/_LaTeX_bvode.xml_1.png [deleted file]
scilab/modules/helptools/images/_LaTeX_bvode.xml_2.png [deleted file]
scilab/modules/helptools/images/_LaTeX_bvode.xml_3.png [deleted file]
scilab/modules/helptools/images/_LaTeX_bvode.xml_4.png [deleted file]
scilab/modules/helptools/images/_LaTeX_ceil.xml_ru_RU_1.png [deleted file]
scilab/modules/helptools/images/_LaTeX_cov.xml_1.png [deleted file]
scilab/modules/helptools/images/_LaTeX_cross.xml_1.png [deleted file]
scilab/modules/helptools/images/_LaTeX_csc.xml_1.png [deleted file]
scilab/modules/helptools/images/_LaTeX_csc.xml_2.png [deleted file]
scilab/modules/helptools/images/_LaTeX_cscd.xml_1.png [deleted file]
scilab/modules/helptools/images/_LaTeX_cscd.xml_2.png [deleted file]
scilab/modules/helptools/images/_LaTeX_erfc.xml_1.png [deleted file]
scilab/modules/helptools/images/_LaTeX_erfcx.xml_1.png [deleted file]
scilab/modules/helptools/images/_LaTeX_erfcx.xml_2.png [deleted file]
scilab/modules/helptools/images/_LaTeX_erfi.xml_1.png [deleted file]
scilab/modules/helptools/images/_LaTeX_floor.xml_ru_RU_1.png [deleted file]
scilab/modules/helptools/images/_LaTeX_percente.xml_1.png
scilab/modules/helptools/images/_LaTeX_percente.xml_2.png [deleted file]
scilab/modules/helptools/images/_LaTeX_percentpi.xml_1.png [deleted file]
scilab/modules/helptools/images/_LaTeX_sec.xml_1.png [deleted file]
scilab/modules/helptools/images/_LaTeX_sec.xml_2.png [deleted file]
scilab/modules/helptools/images/_LaTeX_sec.xml_3.png [deleted file]
scilab/modules/helptools/images/_LaTeX_secd.xml_1.png [deleted file]
scilab/modules/helptools/images/_LaTeX_secd.xml_2.png [deleted file]
scilab/modules/helptools/images/_LaTeX_sech.xml_1.png [deleted file]
scilab/modules/special_functions/help/en_US/erfc.xml
scilab/modules/special_functions/help/en_US/erfcx.xml
scilab/modules/special_functions/help/en_US/erfi.xml
scilab/modules/special_functions/help/fr_FR/erfc.xml
scilab/modules/special_functions/help/fr_FR/erfcx.xml
scilab/modules/special_functions/help/ja_JP/erfc.xml
scilab/modules/special_functions/help/ja_JP/erfcx.xml
scilab/modules/special_functions/help/ja_JP/erfi.xml
scilab/modules/special_functions/help/pt_BR/erfcx.xml
scilab/modules/statistics/help/en_US/5_multivariate_stats/cov.xml
scilab/modules/xcos/help/en_US/palettes/Lookuptables_pal/INTRP2BLK_f.xml
scilab/modules/xcos/help/en_US/palettes/Signalprocessing_pal/QUANT_f.xml
scilab/modules/xcos/help/en_US/palettes/Sinks_pal/END_c.xml
scilab/modules/xcos/help/en_US/palettes/Sources_pal/FROMWSB.xml
scilab/modules/xcos/help/en_US/palettes/Sources_pal/GENSIN_f.xml
scilab/modules/xcos/help/en_US/palettes/Thermohydraulics_pal/PerteDP.xml
scilab/modules/xcos/help/en_US/palettes/Userdefinedfunctions_pal/CBLOCK.xml
scilab/modules/xcos/help/en_US/programming_scicos_blocks/c_computational_functions/C_struct.xml

index c45e2fd..22eac74 100644 (file)
  * along with this program.
  *
  -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:id="percente" xml:lang="en">
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink"
+          xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml"
+          xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook"
+          xmlns:scilab="http://www.scilab.org" xml:id="percente" xml:lang="en">
     <refnamediv>
         <refname>%e</refname>
         <refpurpose>Euler number.</refpurpose>
@@ -25,7 +28,8 @@
     <refsection>
         <title>Description</title>
         <para>
-            <literal>%e</literal> is the Euler number, solution of the equation <latex>\[ln(x) = 1\]</latex>.
+            <literal>%e</literal> is the Euler number, solution of the equation
+          <emphasis>ln(x)=1</emphasis>.
         </para>
         <para>
             This number can be found with
index a535dcf..1e7f508 100644 (file)
  * along with this program.
  *
  -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:id="percentpi" xml:lang="en">
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink"
+          xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml"
+          xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook"
+          xmlns:scilab="http://www.scilab.org" xml:id="percentpi" xml:lang="en">
     <refnamediv>
         <refname>%pi</refname>
         <refpurpose>ratio of circle's circumference to its diameter</refpurpose>
@@ -25,7 +28,7 @@
     <refsection>
         <title>Description</title>
         <para>
-            <literal>%pi</literal> returns the floating-point number nearest the value of <latex>\pi</latex>.
+            <literal>%pi</literal> returns the floating-point number nearest the value of π.
         </para>
     </refsection>
     <refsection>
index 6d9c535..ab947f2 100644 (file)
  * along with this program.
  *
  -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:id="percente" xml:lang="ja">
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink"
+          xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml"
+          xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook"
+          xmlns:scilab="http://www.scilab.org" xml:id="percente" xml:lang="ja">
     <refnamediv>
         <refname>%e</refname>
         <refpurpose>オイラー数.</refpurpose>
@@ -25,7 +28,7 @@
     <refsection>
         <title>説明</title>
         <para>
-            <literal>%e</literal> はオイラー数, つまり, 方程式 <latex>\[ln(x) = 1\]</latex>の解です.
+            <literal>%e</literal> はオイラー数, つまり, 方程式 <emphasis>ln(x)=1</emphasis>の解です.
         </para>
         <para>
             この数は以下の式により得られます
index 1b5937c..f7bfa55 100644 (file)
  * along with this program.
  *
  -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:id="percentpi" xml:lang="ja">
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink"
+          xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml"
+          xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook"
+          xmlns:scilab="http://www.scilab.org" xml:id="percentpi" xml:lang="ja">
     <refnamediv>
         <refname>%pi</refname>
         <refpurpose>円の円周と直径の比</refpurpose>
@@ -25,7 +28,7 @@
     <refsection>
         <title>説明</title>
         <para>
-            <literal>%pi</literal> は<latex>\pi</latex>の値に最も近い浮動小数点数を
+            <literal>%pi</literal> はπの値に最も近い浮動小数点数を
             返します.
         </para>
     </refsection>
index 9098e8b..6469c3c 100644 (file)
  * along with this program.
  *
  -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:id="percentpi" xml:lang="ru">
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink"
+          xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml"
+          xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook"
+          xmlns:scilab="http://www.scilab.org" xml:id="percentpi" xml:lang="ru">
     <refnamediv>
         <refname>%pi</refname>
         <refpurpose>отношение длины окружности к диаметру окружности</refpurpose>
@@ -25,7 +28,7 @@
     <refsection>
         <title>Описание</title>
         <para>
-            <literal>%pi</literal> возвращает число с плавающей запятой, ближайшее к значению <latex>\pi</latex>.
+            <literal>%pi</literal> возвращает число с плавающей запятой, ближайшее к значению π.
         </para>
     </refsection>
     <refsection>
index 8856784..5f8c975 100644 (file)
@@ -1422,8 +1422,8 @@ function [dmval,zu]=fsub(x,parameters)
             The method used to approximate the solution <literal>u</literal> is collocation at
             gaussian points, requiring <literal>m(i)-1</literal> continuous derivatives in the <literal>i</literal>-th
             component, <literal>i = 1:N</literal>. here, <literal>k</literal> is the number of collocation points (stages)
-            per subinterval and is chosen such that <latex>k \ge \max\left(m(i)\right)</latex>. A
-            runge-kutta-monomial solution representation is utilized.
+            per subinterval and is chosen such that <emphasis>k ≥ max(m(i))</emphasis>.
+            A runge-kutta-monomial solution representation is utilized.
         </para>
     </refsection>
     <refsection>
@@ -1817,7 +1817,7 @@ function [zu,mpar]=guess(x)
     mpar=0;
 endfunction
 
- //define the function which computes the exact value of u for a given x ( for testing purposes)
+//define the function which computes the exact value of u for a given x ( for testing purposes)
 function zu=trusol(x)
   zu=0*ones(4,1)
   zu(1) =  0.25*(10*log(2)-3)*(1-x) + 0.5 *( 1/x   + (3+x)*log(x) - x)
@@ -1863,9 +1863,10 @@ zu=bvode(xpoints,N,m,x_low,x_up,zeta,ltol=ltol,tol=tol,guess=zstart)
                 <para>
                     <emphasis role="bold">The problem 2</emphasis> describes the
                     small finite deformation of a thin shallow spherical cap of constant
-                    thickness subject to a quadratically varying axisymmetric external
-                    pressure distribution. Here <latex>$\varphi$</latex> is the meridian angle change of the
-                    deformed shell and <latex>$\psi$</latex> is a stress function. For <latex>$\varepsilon=\mu=10^{-3}$</latex> two
+                    thickness subject to a quadratically varying axisymmetric external pressure
+                    distribution. Here <emphasis>φ</emphasis> is the meridian angle change of the
+                    deformed shell and <emphasis>ψ</emphasis> is a stress function.
+                                       For <emphasis>ε = μ = 10<superscript>-3</superscript></emphasis>, two
                     different solutions may found depending on the starting point
                 </para>
                 <mediaobject>
@@ -2450,7 +2451,6 @@ disp(norm(yex(x)-z(1,:)),'norm(yex(x)-z(1,:))= ')
                     </emphasis>
                 </para>
                 <programlisting role="example"><![CDATA[
-
 // Quantum Neumann equation, with 2 "eigenvalues" c_1 and c_2
 // (c_1=v-c_2-c_3, v is a parameter, used in continuation)
 //
@@ -2467,14 +2467,9 @@ disp(norm(yex(x)-z(1,:)),'norm(yex(x)-z(1,:))= ')
 // the differential equation at 1.0 and y, z_3=1, z_4=1/(2*y-1)
 // Ref: http://arxiv.org/pdf/hep-th/0407005
 
-
-
-
 y= 1.9d0;
 eigens=zeros(3,40); // To store the results
 
-
-
 // General setup for bvode
 
 // Number of differential equations
@@ -2519,33 +2514,33 @@ tol = [1d-5, 1d-5, 1d-5, 1d-5];
 // Define the differential equations
 
 function [f]=fsub(x,z)
-       f = [ -.5*(1/x+1/(x-1)+1/(x-y))*z(2) +...
+    f = [ -.5*(1/x+1/(x-1)+1/(x-y))*z(2) +...
      z(1) * ((v-z(3)-z(4))/x + z(3)/(x-1) + z(4)/(x-y)),...
-       0,0];
+    0,0];
 endfunction
 function [df] = dfsub(x,z)
-       df = [(v-z(3)-z(4))/x + z(3)/(x-1) + z(4)/(x-y),...
-       -.5*(1/x+1/(x-1)+1/(x-y)),z(1)/(x*(x-1)),z(1)*y/(x*(x-y));...
-       0,0,0,0;0,0,0,0];
+    df = [(v-z(3)-z(4))/x + z(3)/(x-1) + z(4)/(x-y),...
+    -.5*(1/x+1/(x-1)+1/(x-y)),z(1)/(x*(x-1)),z(1)*y/(x*(x-y));...
+    0,0,0,0;0,0,0,0];
 endfunction
 
 // Boundary conditions
 
 function [g]=gsub(i,z)
-       select i
-       case 1, g = z(2) - 2*z(1)*(v-z(3)-z(4))
-       case 2, g = z(2) - 2*z(1)*z(3)
-       case 3, g = z(1)-1.
-       case 4, g = z(2) - 2*z(1)*z(4)
-       end
+    select i
+    case 1, g = z(2) - 2*z(1)*(v-z(3)-z(4))
+    case 2, g = z(2) - 2*z(1)*z(3)
+    case 3, g = z(1)-1.
+    case 4, g = z(2) - 2*z(1)*z(4)
+    end
 endfunction
 function [dg]=dgsub(i,z)
-       select i
-       case 1, dg = [-2*(v-z(3)-z(4)),1.,2*z(1),2*z(1)]
-       case 2, dg = [-2*z(3),1.,-2*z(1),0]
-       case 3, dg = [1,0,0,0]
-       case 4, dg = [-2*z(4),1.,0,-2*z(1)]
-       end
+        select i
+        case 1, dg = [-2*(v-z(3)-z(4)),1.,2*z(1),2*z(1)]
+        case 2, dg = [-2*z(3),1.,-2*z(1),0]
+        case 3, dg = [1,0,0,0]
+        case 4, dg = [-2*z(4),1.,0,-2*z(1)]
+        end
 endfunction
 
 // Start computation
@@ -2567,8 +2562,8 @@ res = [linspace(0,.99,100) linspace(1,y,101)];
 // has mstar = 4 components, while dmval has ncomp = 3 components.
 
 function [z,dmval]=guess(x)
-        z=[2*x-1, 2., 1., 1/(2*y-1)]
-        dmval=[0,0,0]
+     z=[2*x-1, 2., 1., 1/(2*y-1)]
+     dmval=[0,0,0]
 endfunction
 
 // First execution has ipar(9)=1 and uses the guess
@@ -2583,7 +2578,6 @@ eigens(:,i)=[v;sol(3,101);sol(4,101)];  // c_2 and c_3 are constant!
 ipar(9)=3;
 end
 
-
 // To see the evolution of the eigenvalues with v, disp(eigens)
 // Note they evolve smoothly.
 // To see the solution f for v=40, disp(sol(1,:)). Note that it vanishes
@@ -2592,7 +2586,6 @@ end
 // This is markedly different from the case  at small v.
 // The continuation procedure allows to explore these exponential behaviours
 // without skipping to other eigenstates.
-
  ]]></programlisting>
             </listitem>
         </itemizedlist>
index 01fd20e..36e87a5 100644 (file)
@@ -1,5 +1,4 @@
 <?xml version="1.0" encoding="UTF-8"?>
-
 <!--
  * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
  * Copyright (C) 2008 - INRIA
  * along with this program.
  *
  -->
-
 <refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns4="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:id="bvode" xml:lang="ja">
-
     <refnamediv>
-
         <refname>bvode</refname>
-
         <refpurpose>コロケーション法によるODEの境界値問題</refpurpose>
-
     </refnamediv>
-
     <refnamediv xml:id="bvodeS">
-
         <refname>bvodeS</refname>
-
         <refpurpose>bvodeの簡易的なコール</refpurpose>
-
     </refnamediv>
-
     <refsynopsisdiv>
-
         <title>呼び出し手順</title>
-
         <synopsis>
-
             zu = bvode(xpoints,N,m,x_low,x_up,zeta,ipar,ltol,tol,fixpnt,fsub,dfsub,gsub,dgsub,guess)
-
         </synopsis>
       <para></para>
         <synopsis>
-
             zu = bvodeS(xpoints,m,N,x_low,x_up,fsub,gsub,zeta, &lt;optional_args&gt;)
-
         </synopsis>
-
     </refsynopsisdiv>
-
     <refsection>
-
         <title>引数</title>
-
         <variablelist>
-
             <varlistentry>
-
                 <term>zu</term>
-
                 <listitem>
-
                     <para>
-
                         大きさMの列ベクトル.
-
                         複数の点で指定したメッシュ上で評価したODEの解.
-
                         各点における z(u(x)) が含まれます.
-
                     </para>
-
                 </listitem>
-
             </varlistentry>
-
             <varlistentry>
-
                 <term>xpoints</term>
-
                 <listitem>
-
                     <para>
-
                         解を観測する点を指定する配列.
-
                     </para>
-
                 </listitem>
-
             </varlistentry>
-
             <varlistentry>
-
                 <term>N</term>
-
                 <listitem>
-
                     <para>整数値を有するスカラー,微分方程式の数
-
                         (N &lt;= 20).
-
                     </para>
-
                 </listitem>
-
             </varlistentry>
-
             <varlistentry>
-
                 <term>m</term>
-
                 <listitem>
-
                     <para>
-
                         整数要素を有する大きさ <literal>N</literal> のベクトル.
-
                         <literal>m</literal>は各微分方程式の次数のベクトルで,
-
                         <literal>m(i)</literal>はi番目の微分方程式の次数を指定します.
-
                         以下に示す <literal>M</literal>は
-
                         <literal>m</literal>の要素の合計を表します.
-
                     </para>
-
                 </listitem>
-
             </varlistentry>
-
             <varlistentry>
-
                 <term>x_low</term>
-
                 <listitem>
-
                     <para>スカラー: 区間の左端</para>
-
                 </listitem>
-
             </varlistentry>
-
             <varlistentry>
-
                 <term>x_up</term>
-
                 <listitem>
-
                     <para>スカラー: 区間の右端</para>
-
                 </listitem>
-
             </varlistentry>
-
             <varlistentry>
-
                 <term>zeta</term>
-
                 <listitem>
-
                     <para>
-
                         大きさ Mのベクトル,<literal>zeta(j)</literal>
-
                         は, j番目の端の条件点(境界値)を指定します.
-
                         x_low&lt;=zeta(j)
-
                         &lt;= zeta(j+1)<literal>&lt;=x_up</literal>
-
                         となります.
-
                     </para>
-
                     <para>
-
                         全ての境界条件点は,
-
                         使用される全てのメッシュにおけるメッシュ点とする必要があります.
-
                         以下の <literal>ipar(11)</literal> および
-
                         <literal>fixpnt</literal>の説明を参照ください.
-
                     </para>
-
                 </listitem>
-
             </varlistentry>
-
             <varlistentry>
-
                 <term>ipar</term>
-
                 <listitem>
-
                     <para>11個の整数要素を有する配列:</para>
-
                     <para>
-
                         [<literal>nonlin, collpnt, subint, ntol, ndimf, ndimi, iprint,
-
                             iread, iguess, rstart,nfxpnt]
-
                         </literal>
-
                     </para>
-
                     <variablelist>
-
                         <varlistentry>
-
                             <term>nonlin: ipar(1)</term>
-
                             <listitem>
-
                                 <para>問題が線形の場合: 0 ,問題が非線形の場合: 1</para>
-
                             </listitem>
-
                         </varlistentry>
-
                         <varlistentry>
-
                             <term>collpnt: ipar(2)</term>
-
                             <listitem>
-
                                 <para>
-
                                     サブ区間毎のコロケーション点の数を指定します.
-
                                     ただし,
-
                                     where max(m(j)) &lt;= collpnt &lt;= 7
-
                                 </para>
-
                                 <para>
-
                                     <literal>ipar(2)=0</literal> の場合,
-
                                     <literal>collpnt</literal> は ( max(m(j))+1 ,
-
                                     5-max(m(j)) )に設定されます
-
                                 </para>
-
                             </listitem>
-
                         </varlistentry>
-
                         <varlistentry>
-
                             <term>subint: ipar(3)</term>
-
                             <listitem>
-
                                 <para>初期メッシュのサブ区間の数を指定します.
-
                                     <literal>ipar(3) = 0</literal> の場合,
-
                                     適宜
-
                                     <literal>subint = 5</literal>と設定します.
-
                                 </para>
-
                             </listitem>
-
                         </varlistentry>
-
                         <varlistentry>
-
                             <term>ntol: ipar(4)</term>
-
                             <listitem>
-
                                 <para>
-
                                     解と微分の許容誤差の数を指定します.
-
                                     0 &lt; ntol &lt;= M とする必要があります.
-
                                     <literal>ipar(4)</literal> は,
-
                                     <literal>tol</literal> 引数の次元または
-
                                     <literal>0</literal>に設定する必要があります.
-
                                     後者の場合, 実際の値は自動的に
-
                                     <literal>size(tol,'*')</literal> に設定されます.
-
                                 </para>
-
                             </listitem>
-
                         </varlistentry>
-
                         <varlistentry>
-
                             <term>ndimf: ipar(5)</term>
-
                             <listitem>
-
                                 <para>
-
                                     <literal>fspace</literal>(実数の作業配列)の次元を指定します.
-
                                     この値は,
-
                                     サブ区間の最大数 nmax への拘束条件を指定します.
-
                                 </para>
-
                                 <para>ipar(5) の値は,拘束条件
-
                                     ipar(5)&gt;=nmax*nsizef を考慮する必要があります. ただし
-
                                 </para>
-
                                 <para>
-
                                     <literal>nsizef=4+3*M+(5+collpnt*N)*(collpnt*N+M)+(2*M-nrec)*2*M</literal>
-
                                     (<literal>nrec</literal> は終端境界条件の数です
-
                                     ).
-
                                 </para>
-
                             </listitem>
-
                         </varlistentry>
-
                         <varlistentry>
-
                             <term>ndimi: ipar(6)</term>
-
                             <listitem>
-
                                 <para>ispace (整数作業配列)の次元を指定します.
-
                                     この値は, サブ区間の最大数 nmax への拘束条件を指定します.
-
                                 </para>
-
                                 <para>ipar(6) の値は, 拘束条件 ipar(6)&gt;=nmax*nsizei
-
                                     を考慮する必要があります. ただし,
-
                                 </para>
-
                                 <para>
-
                                     <literal>nsizei=3 +
-
                                     </literal>
-
                                     <literal>collpnt*N+M</literal>.
-
                                 </para>
-
                             </listitem>
-
                         </varlistentry>
-
                         <varlistentry>
-
                             <term>iprint: ipar(7)</term>
-
                             <listitem>
-
                                 <para>出力制御, 以下の値とします:</para>
-
                                 <variablelist>
-
                                     <varlistentry>
-
                                         <term>-1</term>
-
                                         <listitem>
-
                                             <para>完全な診断出力の場合</para>
-
                                         </listitem>
-
                                     </varlistentry>
-
                                     <varlistentry>
-
                                         <term>0</term>
-
                                         <listitem>
-
                                             <para>部分的な出力の場合</para>
-
                                         </listitem>
-
                                     </varlistentry>
-
                                     <varlistentry>
-
                                         <term>1</term>
-
                                         <listitem>
-
                                             <para>出力しない場合</para>
-
                                         </listitem>
-
                                     </varlistentry>
-
                                 </variablelist>
-
                             </listitem>
-
                         </varlistentry>
-
                         <varlistentry>
-
                             <term>iread: ipar(8)</term>
-
                             <listitem>
-
                                 <variablelist>
-
                                     <varlistentry>
-
                                         <term>= 0</term>
-
                                         <listitem>
-
                                             <para>
-
                                                 bvodeが一様な初期メッシュを生成するようにします.
-
                                             </para>
-
                                         </listitem>
-
                                     </varlistentry>
-
                                     <varlistentry>
-
                                         <term>= xx</term>
-
                                         <listitem>
-
                                             <para>他の値は, Scilabでは未実装です.</para>
-
                                             <variablelist>
-
                                                 <varlistentry>
-
                                                     <term>= 1</term>
-
                                                     <listitem>
-
                                                         <para>初期メッシュがユーザにより指定される場合.
-
                                                             fspace で以下のように定義されます:
-
                                                         </para>
-
                                                         <para>
-
                                                             メッシュは <literal>fspace(1), ...,
-
                                                                 fspace(n+1)
-
                                                             </literal>
-
                                                             となります.
-
                                                             ユーザは内部メッシュ点<literal>fspace(j) = x(j),
-
                                                                 j = 2, ..., n.
-
                                                             </literal>
-
                                                             のみを指定する必要があります.
-
                                                         </para>
-
                                                     </listitem>
-
                                                 </varlistentry>
-
                                                 <varlistentry>
-
                                                     <term>= 2 初期メッシュがユーザにより指定される場合.</term>
-
                                                     <listitem>
-
                                                         <para>
-
                                                             <literal>ipar(8)=1</literal>が指定された時と同様であり,
-
                                                             加えて,適応型メッシュ選択は行われません.
-
                                                         </para>
-
                                                     </listitem>
-
                                                 </varlistentry>
-
                                             </variablelist>
-
                                         </listitem>
-
                                     </varlistentry>
-
                                 </variablelist>
-
                             </listitem>
-
                         </varlistentry>
-
                         <varlistentry>
-
                             <term>iguess: ipar(9)</term>
-
                             <listitem>
-
                                 <variablelist>
-
                                     <varlistentry>
-
                                         <term>= 0</term>
-
                                         <listitem>
-
                                             <para>解の初期推定値が指定されない場合.</para>
-
                                         </listitem>
-
                                     </varlistentry>
-
                                     <varlistentry>
-
                                         <term>= 1</term>
-
                                         <listitem>
-
                                             <para>
-
                                                 引数 <literal>guess</literal> により,
-
                                                 初期推定値がユーザにより指定される場合.
-
                                             </para>
-
                                         </listitem>
-
                                     </varlistentry>
-
                                     <varlistentry>
-
                                         <term>= 2</term>
-
                                         <listitem>
-
                                             <para>
-
                                                 初期メッシュと近似解係数がユーザにより fspace で指定される場合
-
                                                 (前のメッシュと新規メッシュは同じものになります).
-
                                             </para>
-
                                         </listitem>
-
                                     </varlistentry>
-
                                     <varlistentry>
-
                                         <term>= 3</term>
-
                                         <listitem>
-
                                             <para>
-
                                                 前のメッシュと近似解の係数がユーザによりfspace で指定される場合,
-
                                                 新規メッシュは 2倍荒くとられます.
-
                                                 すなわち, 前のメッシュの各2点毎に1点となります.
-
                                             </para>
-
                                         </listitem>
-
                                     </varlistentry>
-
                                     <varlistentry>
-
                                         <term>= 4</term>
-
                                         <listitem>
-
                                             <para>
-
                                                 前の初期メッシュと近似解係数に加えて,同時に
-
                                                 新規メッシュが fspace に出力されます.
-
                                                 (詳細はiguess = 2, 3, および 4の出力の説明を参照ください)
-
                                             </para>
-
                                         </listitem>
-
                                     </varlistentry>
-
                                 </variablelist>
-
                             </listitem>
-
                         </varlistentry>
-
                         <varlistentry>
-
                             <term>ireg: ipar(10)</term>
-
                             <listitem>
-
                                 <variablelist>
-
                                     <varlistentry>
-
                                         <term>= 0</term>
-
                                         <listitem>
-
                                             <para>問題が標準の場合</para>
-
                                         </listitem>
-
                                     </varlistentry>
-
                                     <varlistentry>
-
                                         <term>= 1</term>
-
                                         <listitem>
-
                                             <para>
-
                                                 最初の緩和係数が <literal>ireg</literal> に等しい場合,
-
                                                 非線形反復は過去の収束結果に基づきません.
-
                                                 (別の敏感な非線形問題のみで使用されます)
-
                                             </para>
-
                                         </listitem>
-
                                     </varlistentry>
-
                                     <varlistentry>
-
                                         <term>= 2</term>
-
                                         <listitem>
-
                                             <para>
-
                                                 以下の場合,直ちにリターンします.
-
                                                 (a) 2回連続で収束しない場合,
-
                                                 または
-
                                                 (b)最初に誤差推定値を得た後.
-
                                             </para>
-
                                         </listitem>
-
                                     </varlistentry>
-
                                 </variablelist>
-
                             </listitem>
-
                         </varlistentry>
-
                         <varlistentry>
-
                             <term>nfxpnt: ipar(11)</term>
-
                             <listitem>
-
                                 <para>
-
                                     <literal>x_low</literal> および <literal>x_up</literal>
-
                                     以外のメッシュの固定点の数(<literal>fixpnt</literal>の次元)を指定します.
-
                                     <literal>ipar(11)</literal> は,引数
-
                                     <literal>fixpnt</literal>の次元または
-
                                     <literal>0</literal>に設定する必要があります.
-
                                     後者の場合, 実際の値は自動的に
-
                                     <literal>size(fixpnt,'*')</literal> に設定されます.
-
                                 </para>
-
                             </listitem>
-
                         </varlistentry>
-
                     </variablelist>
-
                 </listitem>
-
             </varlistentry>
-
             <varlistentry>
-
                 <term>ltol</term>
-
                 <listitem>
-
                     <para>
-
                         次元 <literal>ntol=ipar(4)</literal>の配列.
-
                         <literal>ltol(j) = l</literal> は,
-
                         <literal> tol</literal> 配列の <literal>j</literal>番目の許容誤差を指定します.これは,
-
                         以下の<literal>l</literal>番目の要素の誤差を制御します.
-
                         <inlinemediaobject>
-
                             <imageobject>
-
                                 <imagedata>
-
                                     <mml:math>
-
                                         <mml:semantics>
-
                                             <mml:mi>z</mml:mi>
-
                                             <mml:mrow>
-
                                                 <mml:mo mml:stretchy="false">(</mml:mo><mml:mi>u</mml:mi><mml:mo mml:stretchy="false">)</mml:mo>
-
                                             </mml:mrow>
-
                                         </mml:semantics>
-
                                     </mml:math>
-
                                 </imagedata>
-
                             </imageobject>
-
                         </inlinemediaobject>
-
                         .以下も必要です:
-
                     </para>
-
                     <para>
-
                         <literal>1 &lt;= ltol(1) &lt; ltol(2) &lt; ... &lt; ltol(ntol)
-
                             &lt;= M
-
                         </literal>
-
                     </para>
-
                 </listitem>
-
             </varlistentry>
-
             <varlistentry>
-
                 <term>tol</term>
-
                 <listitem>
-
                     <para>
-
                         <literal>ntol=ipar(4)</literal>次の配列.
-
                     </para>
-
                     <para>
-
                         <literal>tol(j)</literal>は,
-
                         以下の <literal>ltol(j)</literal> 番目の要素の許容誤差です.
-
                         <inlinemediaobject>
-
                             <imageobject>
-
                                 <imagedata>
-
                                     <mml:math>
-
                                         <mml:semantics>
-
                                             <mml:mi>z</mml:mi>
-
                                             <mml:mrow>
-
                                                 <mml:mo mml:stretchy="false">(</mml:mo><mml:mi>u</mml:mi><mml:mo mml:stretchy="false">)</mml:mo>
-
                                             </mml:mrow>
-
                                         </mml:semantics>
-
                                     </mml:math>
-
                                 </imagedata>
-
                             </imageobject>
-
                         </inlinemediaobject>
-
                         .つまり, このコードは以下の条件を
-
                         満たそうとします.
-
                         <inlinemediaobject>
-
                             <imageobject>
-
                                 <imagedata>
-
                                     <mml:math>
-
                                         <mml:semantics>
-
                                             <mml:mrow>
-
                                                 <mml:mrow>
-
                                                     <mml:mfenced mml:close="∣" mml:open="∣">
-
                                                         <mml:msub>
-
                                                             <mml:mrow>
-
                                                                 <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                                 <mml:mrow>
-
                                                                     <mml:mi>z</mml:mi>
-
                                                                     <mml:mrow>
-
                                                                         <mml:mrow>
-
                                                                             <mml:mo mml:stretchy="false">(</mml:mo><mml:mi>v</mml:mi><mml:mo mml:stretchy="false">)</mml:mo>
-
                                                                         </mml:mrow>
-
                                                                         <mml:mo mml:stretchy="false">−</mml:mo><mml:mi>z</mml:mi>
-
                                                                     </mml:mrow>
-
                                                                     <mml:mrow>
-
                                                                         <mml:mo mml:stretchy="false">(</mml:mo><mml:mi>u</mml:mi><mml:mo mml:stretchy="false">)</mml:mo>
-
                                                                     </mml:mrow>
-
                                                                 </mml:mrow>
-
                                                                 <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                             </mml:mrow>
-
                                                             <mml:mrow>
-
                                                                 <mml:mi mml:fontstyle="italic">ltol</mml:mi>
-
                                                                 <mml:mrow>
-
                                                                     <mml:mo mml:stretchy="false">(</mml:mo><mml:mi>j</mml:mi><mml:mo mml:stretchy="false">)</mml:mo>
-
                                                                 </mml:mrow>
-
                                                             </mml:mrow>
-
                                                         </mml:msub>
-
                                                     </mml:mfenced>
-
                                                     <mml:mo mml:stretchy="false">≤</mml:mo><mml:mi mml:fontstyle="italic">tol</mml:mi>
-
                                                 </mml:mrow>
-
                                                 <mml:mrow>
-
                                                     <mml:mrow>
-
                                                         <mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">(</mml:mo><mml:mi>j</mml:mi><mml:mo mml:stretchy="false">)</mml:mo>
-
                                                         </mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">⋅</mml:mo>
-
                                                         <mml:mfenced mml:close="∣" mml:open="∣">
-
                                                             <mml:msub>
-
                                                                 <mml:mrow>
-
                                                                     <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                                     <mml:mrow>
-
                                                                         <mml:mi>z</mml:mi>
-
                                                                         <mml:mrow>
-
                                                                             <mml:mo mml:stretchy="false">(</mml:mo><mml:mi>u</mml:mi><mml:mo mml:stretchy="false">)</mml:mo>
-
                                                                         </mml:mrow>
-
                                                                     </mml:mrow>
-
                                                                     <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                                 </mml:mrow>
-
                                                                 <mml:mrow>
-
                                                                     <mml:mi mml:fontstyle="italic">ltol</mml:mi>
-
                                                                     <mml:mrow>
-
                                                                         <mml:mo mml:stretchy="false">(</mml:mo><mml:mi>j</mml:mi><mml:mo mml:stretchy="false">)</mml:mo>
-
                                                                     </mml:mrow>
-
                                                                 </mml:mrow>
-
                                                             </mml:msub>
-
                                                         </mml:mfenced>
-
                                                     </mml:mrow>
-
                                                     <mml:mo mml:stretchy="false">+</mml:mo><mml:mi mml:fontstyle="italic">tol</mml:mi>
-
                                                 </mml:mrow>
-
                                                 <mml:mrow>
-
                                                     <mml:mo mml:stretchy="false">(</mml:mo><mml:mi>j</mml:mi><mml:mo mml:stretchy="false">)</mml:mo>
-
                                                 </mml:mrow>
-
                                                 <mml:mi>,</mml:mi><mml:mi mml:fontstyle="normal">for</mml:mi>
-
                                                 <mml:mrow>
-
                                                     <mml:mi>j</mml:mi><mml:mo mml:stretchy="false">=</mml:mo><mml:mn>1</mml:mn>
-
                                                 </mml:mrow>
-
                                                 <mml:mi mml:fontstyle="normal">:</mml:mi><mml:mi mml:fontstyle="normal">ntol</mml:mi>
-
                                             </mml:mrow>
-
                                             <mml:annotation mml:encoding="StarMath 5.0">abs(z(v)-z(u))_{ltol(j)}
-
                                                 &lt;= tol(j) cdot abs(z(u))_{ltol(j)} + tol(j), for
-
                                                 j=1:ntol
-
                                             </mml:annotation>
-
                                         </mml:semantics>
-
                                     </mml:math>
-
                                 </imagedata>
-
                             </imageobject>
-
                         </inlinemediaobject>
-
                         (サブ区間について)
-
                     </para>
-
                     <para>
-
                         <inlinemediaobject>
-
                             <imageobject>
-
                                 <imagedata>
-
                                     <mml:math>
-
                                         <mml:semantics>
-
                                             <mml:mi>v</mml:mi>
-
                                         </mml:semantics>
-
                                     </mml:math>
-
                                 </imagedata>
-
                             </imageobject>
-
                         </inlinemediaobject>
-
                         が近似解ベクトルの場合,
-
                         <inlinemediaobject>
-
                             <imageobject>
-
                                 <imagedata>
-
                                     <mml:math>
-
                                         <mml:semantics>
-
                                             <mml:mi>u</mml:mi>
-
                                         </mml:semantics>
-
                                     </mml:math>
-
                                 </imagedata>
-
                             </imageobject>
-
                         </inlinemediaobject>
-
                         は厳密解(未知)となります.
-
                     </para>
-
                 </listitem>
-
             </varlistentry>
-
             <varlistentry>
-
                 <term>fixpnt</term>
-
                 <listitem>
-
                     <para>
-
                         <literal>nfxpnt=ipar(11)</literal>次の配列.
-
                         各メッシュに含まれる<literal>x_low</literal> および
-
                         <literal>x_up</literal>以外の点を含みます.
-
                         このコードは,<literal>x_low</literal> および <literal>x_up</literal>
-
                         以外の全ての周辺条件点(<literal>zeta</literal>の説明を参照)が
-
                         <literal>fixpnt</literal>の中の固定点として
-
                         含まれることを必要とします.
-
                     </para>
-
                 </listitem>
-
             </varlistentry>
-
             <varlistentry>
-
                 <term>fsub</term>
-
                 <listitem>
-
                     <para>
-
                         <link linkend="external">external</link> は,以下の
-
                         列ベクトルの評価に使用されます. <literal>f=</literal>
-
                         <inlinemediaobject>
-
                             <imageobject>
-
                                 <imagedata>
-
                                     <mml:math>
-
                                         <mml:semantics>
-
                                             <mml:mrow>
-
                                                 <mml:mo mml:stretchy="false">[</mml:mo>
-
                                                 <mml:mrow>
-
                                                     <mml:msub>
-
                                                         <mml:mi>f</mml:mi><mml:mn>1</mml:mn>
-
                                                     </mml:msub>
-
                                                     <mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                         <mml:mrow>
-
                                                             <mml:mi>x</mml:mi><mml:mi>,</mml:mi><mml:mi>z</mml:mi>
-
                                                             <mml:mrow>
-
                                                                 <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                                 <mml:mrow>
-
                                                                     <mml:mi>u</mml:mi>
-
                                                                     <mml:mrow>
-
                                                                         <mml:mo mml:stretchy="false">(</mml:mo><mml:mi>x</mml:mi><mml:mo mml:stretchy="false">)</mml:mo>
-
                                                                     </mml:mrow>
-
                                                                 </mml:mrow>
-
                                                                 <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                             </mml:mrow>
-
                                                         </mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                     </mml:mrow>
-
                                                     <mml:mi>;</mml:mi>
-
                                                     <mml:msub>
-
                                                         <mml:mi>f</mml:mi><mml:mn>2</mml:mn>
-
                                                     </mml:msub>
-
                                                     <mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                         <mml:mrow>
-
                                                             <mml:mi>x</mml:mi><mml:mi>,</mml:mi><mml:mi>z</mml:mi>
-
                                                             <mml:mrow>
-
                                                                 <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                                 <mml:mrow>
-
                                                                     <mml:mi>u</mml:mi>
-
                                                                     <mml:mrow>
-
                                                                         <mml:mo mml:stretchy="false">(</mml:mo><mml:mi>x</mml:mi><mml:mo mml:stretchy="false">)</mml:mo>
-
                                                                     </mml:mrow>
-
                                                                 </mml:mrow>
-
                                                                 <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                             </mml:mrow>
-
                                                         </mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                     </mml:mrow>
-
                                                     <mml:mi>,</mml:mi><mml:mo mml:stretchy="false">⋯</mml:mo><mml:mi>,</mml:mi>
-
                                                     <mml:msub>
-
                                                         <mml:mi>f</mml:mi><mml:mi>N</mml:mi>
-
                                                     </mml:msub>
-
                                                     <mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                         <mml:mrow>
-
                                                             <mml:mi>x</mml:mi><mml:mi>,</mml:mi><mml:mi>z</mml:mi>
-
                                                             <mml:mrow>
-
                                                                 <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                                 <mml:mrow>
-
                                                                     <mml:mi>u</mml:mi>
-
                                                                     <mml:mrow>
-
                                                                         <mml:mo mml:stretchy="false">(</mml:mo><mml:mi>x</mml:mi><mml:mo mml:stretchy="false">)</mml:mo>
-
                                                                     </mml:mrow>
-
                                                                 </mml:mrow>
-
                                                                 <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                             </mml:mrow>
-
                                                         </mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                     </mml:mrow>
-
                                                 </mml:mrow>
-
                                                 <mml:mo mml:stretchy="false">]</mml:mo>
-
                                             </mml:mrow>
-
                                             <mml:annotation mml:encoding="StarMath 5.0">[f_1(x,z(u(x)));
-
                                                 f_2(x,z(u(x))),dotsaxis,
-
                                                 f_N(x,z(u(x)))]
-
                                             </mml:annotation>
-
                                         </mml:semantics>
-
                                     </mml:math>
-
                                 </imagedata>
-
                             </imageobject>
-
                         </inlinemediaobject>
-
-
-
                         ただし,
-
                         <literal>x_low</literal> &lt;= <literal>x</literal> &lt;= <literal>x_up</literal> の任意の<literal>x</literal>,
-
                         および <literal>z=z(u(x))</literal> となる任意の<literal>z</literal> とします.
-
                         (以下の説明を参照)
-
                     </para>
-
                     <para>外部関数は以下のように宣言を必要とします:</para>
-
                     <itemizedlist>
-
                         <listitem>
-
                             <para>Fortranの場合, 呼び出し手順を以下のようにします:</para>
-
                             <programlisting role="no-scilab-exec"><![CDATA[
 subroutine fsub(x,zu,f)
 double precision zu(*), f(*),x
  ]]></programlisting>
-
                         </listitem>
-
                         <listitem>
-
                             <para>Cの場合,関数プロトタイプを以下のようにします:</para>
-
                             <programlisting role="no-scilab-exec"><![CDATA[
 void fsub(double *x, double *zu, double *f)
  ]]></programlisting>
-
                         </listitem>
-
                         <listitem>
-
                             <para>そしてScilab上では:</para>
-
                             <programlisting role="no-scilab-exec"><![CDATA[
 function f=fsub(x,zu,parameters)
  ]]></programlisting>
-
                         </listitem>
-
                     </itemizedlist>
-
                 </listitem>
-
             </varlistentry>
-
             <varlistentry>
-
                 <term>dfsub</term>
-
                 <listitem>
-
                     <para>
-
                         <link linkend="external">external</link>は,
-
                         点<literal>x</literal>におけるヤコビアン<literal>f(x,z(u))</literal>の
-
                         評価に使用されます.
-
                         ただし,<literal>z(u(x))</literal>は,
-
                         <literal>fsub</literal>と同様に定義され,
-
                         <literal>N</literal> 行 <literal>M</literal>列配列
-
                         dfには,<literal>f</literal>の偏微分が代入されます:
-
                     </para>
-
                     <informalequation>
-
                         <mediaobject>
-
                             <imageobject>
-
                                 <imagedata align="center">
-
                                     <mml:math>
-
                                         <mml:semantics>
-
                                             <mml:mrow>
-
                                                 <mml:mi mml:fontstyle="italic">df</mml:mi>
-
                                                 <mml:mrow>
-
                                                     <mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                         <mml:mrow>
-
                                                             <mml:mi>i</mml:mi>
-
                                                             <mml:mi>,</mml:mi>
-
                                                             <mml:mi>j</mml:mi>
-
                                                         </mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                     </mml:mrow>
-
                                                     <mml:mo mml:stretchy="false">=</mml:mo>
-
                                                     <mml:mfrac>
-
                                                         <mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">∂</mml:mo>
-
                                                             <mml:msub>
-
                                                                 <mml:mi>f</mml:mi>
-
                                                                 <mml:mi>i</mml:mi>
-
                                                             </mml:msub>
-
                                                         </mml:mrow>
-
                                                         <mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">∂</mml:mo>
-
                                                             <mml:msub>
-
                                                                 <mml:mi>z</mml:mi>
-
                                                                 <mml:mi>j</mml:mi>
-
                                                             </mml:msub>
-
                                                         </mml:mrow>
-
                                                     </mml:mfrac>
-
                                                 </mml:mrow>
-
                                                 <mml:mtext> for
-
                                                 </mml:mtext>
-
                                                 <mml:mrow>
-
                                                     <mml:mo mml:stretchy="true">{</mml:mo>
-
                                                     <mml:mtable>
-
                                                         <mml:mtr>
-
                                                             <mml:mrow>
-
                                                                 <mml:mrow>
-
                                                                     <mml:mi>i</mml:mi>
-
                                                                     <mml:mo mml:stretchy="false">=</mml:mo>
-
                                                                     <mml:mn>1</mml:mn>
-
                                                                 </mml:mrow>
-
                                                                 <mml:mi mml:fontstyle="normal">:</mml:mi>
-
                                                                 <mml:mi mml:fontstyle="italic">N</mml:mi>
-
                                                             </mml:mrow>
-
                                                         </mml:mtr>
-
                                                         <mml:mtr>
-
                                                             <mml:mrow>
-
                                                                 <mml:mrow>
-
                                                                     <mml:mi>j</mml:mi>
-
                                                                     <mml:mo mml:stretchy="false">=</mml:mo>
-
                                                                     <mml:mn>1</mml:mn>
-
                                                                 </mml:mrow>
-
                                                                 <mml:mi mml:fontstyle="normal">:</mml:mi>
-
                                                                 <mml:mi mml:fontstyle="italic">M</mml:mi>
-
                                                             </mml:mrow>
-
                                                         </mml:mtr>
-
                                                     </mml:mtable>
-
                                                 </mml:mrow>
-
                                             </mml:mrow>
-
                                             <mml:annotation mml:encoding="StarMath 5.0">df(i,j)= {partial{f_i}} over
-
                                                 {partial{z_j}} ~ for ~ left lbrace binom{i=1:N}{j=1:M} right
-
                                                 none
-
                                             </mml:annotation>
-
                                         </mml:semantics>
-
                                     </mml:math>
-
                                 </imagedata>
-
                             </imageobject>
-
                         </mediaobject>
-
                     </informalequation>
-
                     <para>外部関数は以下のように宣言を必要とします:</para>
-
                     <itemizedlist>
-
                         <listitem>
-
                             <para>Fortranの場合, 呼び出し手順を以下のようにします:</para>
-
                             <programlisting role="no-scilab-exec"><![CDATA[
 subroutine dfsub(x,zu,df)
 double precision zu(*), df(*),x
  ]]></programlisting>
-
                         </listitem>
-
                         <listitem>
-
                             <para>Cの場合, 関数プロトタイプを以下のようにします:</para>
-
                             <programlisting role="no-scilab-exec"><![CDATA[
 void dfsub(double *x, double *zu, double *df)
  ]]></programlisting>
-
                         </listitem>
-
                         <listitem>
-
                             <para>そして,Scilabにおいては:</para>
-
                             <programlisting role="no-scilab-exec"><![CDATA[
 function df=dfsub(x,zu,parameters)
  ]]></programlisting>
-
                         </listitem>
-
                     </itemizedlist>
-
                 </listitem>
-
             </varlistentry>
-
             <varlistentry>
-
                 <term>gsub</term>
-
                 <listitem>
-
                     <para>
-
                         以下の評価に使用される<link linkend="external">external</link>
-
                         <inlinemediaobject>
-
                             <imageobject>
-
                                 <imagedata>
-
                                     <mml:math>
-
                                         <mml:semantics>
-
                                             <mml:mrow>
-
                                                 <mml:msub>
-
                                                     <mml:mi>g</mml:mi><mml:mi>i</mml:mi>
-
                                                 </mml:msub>
-
                                                 <mml:mrow>
-
                                                     <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                     <mml:mrow>
-
                                                         <mml:msub>
-
                                                             <mml:mo mml:stretchy="false">ζ</mml:mo><mml:mi>i</mml:mi>
-
                                                         </mml:msub>
-
                                                         <mml:mi>,</mml:mi><mml:mi>z</mml:mi>
-
                                                         <mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                             <mml:mrow>
-
                                                                 <mml:mi>u</mml:mi>
-
                                                                 <mml:mrow>
-
                                                                     <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                                     <mml:msub>
-
                                                                         <mml:mo mml:stretchy="false">ζ</mml:mo><mml:mi>i</mml:mi>
-
                                                                     </mml:msub>
-
                                                                     <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                                 </mml:mrow>
-
                                                             </mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                         </mml:mrow>
-
                                                     </mml:mrow>
-
                                                     <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                 </mml:mrow>
-
                                             </mml:mrow>
-
                                             <mml:annotation mml:encoding="StarMath 5.0">g_i(%zeta_i,z(u(%zeta_i)))</mml:annotation>
-
                                         </mml:semantics>
-
                                     </mml:math>
-
                                 </imagedata>
-
                             </imageobject>
-
                         </inlinemediaobject>
-
                         given z=
-
                         <inlinemediaobject>
-
                             <imageobject>
-
                                 <imagedata>
-
                                     <mml:math>
-
                                         <mml:semantics>
-
                                             <mml:mrow>
-
                                                 <mml:mi>z</mml:mi>
-
                                                 <mml:mrow>
-
                                                     <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                     <mml:mrow>
-
                                                         <mml:mi>u</mml:mi>
-
                                                         <mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                             <mml:msub>
-
                                                                 <mml:mo mml:stretchy="false">ζ</mml:mo><mml:mi>i</mml:mi>
-
                                                             </mml:msub>
-
                                                             <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                         </mml:mrow>
-
                                                     </mml:mrow>
-
                                                     <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                 </mml:mrow>
-
                                             </mml:mrow>
-
                                             <mml:annotation mml:encoding="StarMath 5.0">z(u(%zeta_i))</mml:annotation>
-
                                         </mml:semantics>
-
                                     </mml:math>
-
                                 </imagedata>
-
                             </imageobject>
-
                         </inlinemediaobject>
-
-
-
                         <literal>z = zeta(i)</literal> ただし,
-
                         <literal>1&lt;=i&lt;=M.</literal>
-
                     </para>
-
                     <para>外部関数は以下のように宣言を必要とします:</para>
-
                     <itemizedlist>
-
                         <listitem>
-
                             <para>Fortranの場合, 呼び出し手順を以下のようにします:</para>
-
                             <programlisting role="no-scilab-exec"><![CDATA[
 subroutine gsub(i,zu,g)
 double precision zu(*), g(*)
 integer i
  ]]></programlisting>
-
                         </listitem>
-
                         <listitem>
-
                             <para>Cの場合, 関数プロトタイプを以下のようにします:</para>
-
                             <programlisting role="no-scilab-exec"><![CDATA[
 void gsub(int *i, double *zu, double *g)
  ]]></programlisting>
-
                         </listitem>
-
                         <listitem>
-
                             <para>そして,Scilabでは:</para>
-
                             <programlisting role="no-scilab-exec"><![CDATA[
 function g=gsub(i,zu,parameters)
  ]]></programlisting>
-
                             <para>
-
                                 <literal>fsub</literal>の<literal>f</literal>とは逆に
-
                                 <literal>g</literal>では
-
                                 コール毎に一つの値のみが返されることに注意してください.
-
                             </para>
-
                         </listitem>
-
                     </itemizedlist>
-
                 </listitem>
-
             </varlistentry>
-
             <varlistentry>
-
                 <term>dgsub</term>
-
                 <listitem>
-
                     <para>
-
                         an <link linkend="external">external</link> used to evaluate
-
                         the <literal>i</literal>-th row of the Jacobian of <literal>g(x,u(x))</literal>. Where
-
                         <literal>z(u)</literal> is as for <literal>fsub</literal>, <literal>i</literal> as for
-
                         <literal>gsub</literal> and the <literal>M</literal>-vector <literal>dg</literal> should
-
                         be filled with the partial derivatives of <literal>g</literal>, viz, for a particular call one
-
                         calculates
-
                     </para>
-
                     <informalequation>
-
                         <mediaobject>
-
                             <imageobject>
-
                                 <imagedata align="center">
-
                                     <mml:math>
-
                                         <mml:semantics>
-
                                             <mml:mrow>
-
                                                 <mml:mi mml:fontstyle="italic">dg</mml:mi>
-
                                                 <mml:mrow>
-
                                                     <mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                         <mml:mrow>
-
                                                             <mml:mi>i</mml:mi>
-
                                                             <mml:mi>,</mml:mi>
-
                                                             <mml:mi>j</mml:mi>
-
                                                         </mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                     </mml:mrow>
-
                                                     <mml:mo mml:stretchy="false">=</mml:mo>
-
                                                     <mml:mfrac>
-
                                                         <mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">∂</mml:mo>
-
                                                             <mml:msub>
-
                                                                 <mml:mi>g</mml:mi>
-
                                                                 <mml:mi>i</mml:mi>
-
                                                             </mml:msub>
-
                                                         </mml:mrow>
-
                                                         <mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">∂</mml:mo>
-
                                                             <mml:msub>
-
                                                                 <mml:mi>z</mml:mi>
-
                                                                 <mml:mi>j</mml:mi>
-
                                                             </mml:msub>
-
                                                         </mml:mrow>
-
                                                     </mml:mfrac>
-
                                                 </mml:mrow>
-
                                                 <mml:mtext> for
-
                                                 </mml:mtext>
-
                                                 <mml:mrow>
-
                                                     <mml:mo mml:stretchy="true">{</mml:mo>
-
                                                     <mml:mtable>
-
                                                         <mml:mtr>
-
                                                             <mml:mrow>
-
                                                                 <mml:mrow>
-
                                                                     <mml:mi>i</mml:mi>
-
                                                                     <mml:mo mml:stretchy="false">=</mml:mo>
-
                                                                     <mml:mn>1</mml:mn>
-
                                                                 </mml:mrow>
-
                                                                 <mml:mi mml:fontstyle="normal">:</mml:mi>
-
                                                                 <mml:mi mml:fontstyle="italic">M</mml:mi>
-
                                                             </mml:mrow>
-
                                                         </mml:mtr>
-
                                                         <mml:mtr>
-
                                                             <mml:mrow>
-
                                                                 <mml:mrow>
-
                                                                     <mml:mi>j</mml:mi>
-
                                                                     <mml:mo mml:stretchy="false">=</mml:mo>
-
                                                                     <mml:mn>1</mml:mn>
-
                                                                 </mml:mrow>
-
                                                                 <mml:mi mml:fontstyle="normal">:</mml:mi>
-
                                                                 <mml:mi mml:fontstyle="italic">M</mml:mi>
-
                                                             </mml:mrow>
-
                                                         </mml:mtr>
-
                                                     </mml:mtable>
-
                                                 </mml:mrow>
-
                                             </mml:mrow>
-
                                             <mml:annotation mml:encoding="StarMath 5.0">dg(i,j)= {partial{g_i}} over
-
                                                 {partial{z_j}} ~ for ~ left lbrace binom{i=1:M}{j=1:M} right
-
                                                 none
-
                                             </mml:annotation>
-
                                         </mml:semantics>
-
                                     </mml:math>
-
                                 </imagedata>
-
                             </imageobject>
-
                         </mediaobject>
-
                     </informalequation>
-
                     <para>外部関数は以下のような宣言を必要とします:</para>
-
                     <itemizedlist>
-
                         <listitem>
-
                             <para>Fortranの場合, 呼び出し手順を以下のようにします:</para>
-
                             <programlisting role="no-scilab-exec"><![CDATA[
 subroutine dgsub(i,zu,dg)
 double precision zu(*), dg(*)
  ]]></programlisting>
-
                         </listitem>
-
                         <listitem>
-
                             <para>Cの場合, 関数プロトタイプを以下のようにします:</para>
-
                             <programlisting role="no-scilab-exec"><![CDATA[
 void dgsub(int *i, double *zu, double *dg)
  ]]></programlisting>
-
                         </listitem>
-
                         <listitem>
-
                             <para>そして,Scilabでは:</para>
-
                             <programlisting role="no-scilab-exec"><![CDATA[
 function dg=dgsub(i,zu,parameters)
  ]]></programlisting>
-
                         </listitem>
-
                     </itemizedlist>
-
                 </listitem>
-
             </varlistentry>
-
             <varlistentry>
-
                 <term>guess</term>
-
                 <listitem>
-
                     <para>
-
                         <literal>z(u(x))</literal>および
-
                         <literal>u(x)</literal>の<literal>mj</literal>階微分<literal>dmval(u(x))</literal>
-
                         の初期近似値を見積もるために
-
                         <link linkend="external">external</link>が使用されます.
-
                         <literal>ipar(9) = 1</literal>の場合のみ, このサブルーチンが
-
                         使用されることに注意してください.
-
                         このため,<literal>zu</literal>の<literal>M</literal>個の要素および <literal>dmval</literal> の <literal>N</literal>個の
-
                         要素が<literal>x_low</literal> &lt;= <literal>x</literal> &lt;= <literal>x_up</literal>の範囲の任意の <literal>x</literal> について計算される
-
                         必要があります.
-
                     </para>
-
                     <para>外部関数は以下のように宣言を必要とします:</para>
-
                     <itemizedlist>
-
                         <listitem>
-
                             <para>Fortranの場合, 呼び出し手順を以下のようにします:</para>
-
                             <programlisting role="no-scilab-exec"><![CDATA[
 subroutine guess(x,zu,dmval)
 double precision x,z(*), dmval(*)
  ]]></programlisting>
-
                         </listitem>
-
                         <listitem>
-
                             <para>Cの場合, 関数プロトタイプを以下のようにします</para>
-
                             <programlisting role="no-scilab-exec"><![CDATA[
 void fsub(double *x, double *zu, double *dmval)
  ]]></programlisting>
-
                         </listitem>
-
                         <listitem>
-
                             <para>そしてScilab上では, </para>
-
                             <programlisting role="no-scilab-exec"><![CDATA[
 function [dmval,zu]=fsub(x,parameters)
  ]]></programlisting>
-
                         </listitem>
-
                     </itemizedlist>
-
                 </listitem>
-
             </varlistentry>
-
             <varlistentry>
-
                 <term>&lt;optional_args&gt;</term>
-
                 <listitem>
-
                     <para>以下のどれかとする必要があります:</para>
-
                     <itemizedlist>
-
                         <listitem>
-
                             <para>
-
                                 以下の一連の値:
-
                                 <literal>guess, dfsub, dgsub, fixpnt, ndimf, ndimi, ltol, tol,
-
                                     ntol,nonlin, collpnt, subint, iprint, ireg, ifail
-
                                 </literal>
-
                             </para>
-
                         </listitem>
-
                         <listitem>
-
                             <para>
-
                                 もしくは,一連の<literal>arg_name=argvalue</literal>
-
                                 で指定します.
-
                                 ただし <literal>arg_name</literal> は以下のどれかとなります:
-
                                 <literal>guess</literal>,
-
                                 <literal>dfsub</literal>, <literal>dgsub</literal>,
-
                                 <literal>fixpnt</literal>, <literal>ndimf</literal>,
-
                                 <literal>ndimi</literal>, <literal>ltol</literal>,
-
                                 <literal>tol</literal>, <literal>ntol</literal>,
-
                                 <literal>nonlin</literal>, <literal>collpnt</literal>,
-
                                 <literal>subint</literal>, <literal>iprint</literal>,
-
                                 <literal>ireg</literal>, <literal>ifail</literal>
-
                             </para>
-
                         </listitem>
-
                     </itemizedlist>
-
                     <para>
-
                         これらの引数が指定される場合は,常に
-
                         <literal>ifail</literal>は上記のように説明されます.
-
                         <literal>ifail</literal>は選択されたオプション引数
-
                         に対応する bvode コールを表示するために使用できます.
-
                         もし,<literal>guess</literal> が指定された場合,
-
                         <literal>iguess</literal>が 1 に設定されます.
-
                     </para>
-
                 </listitem>
-
             </varlistentry>
-
         </variablelist>
-
     </refsection>
-
     <refsection>
-
         <title>説明</title>
-
         <para>
-
             これらの関数は, 以下のように定義された ode-s の
-
             混合次数に関連するシステム多点境界値問題を解きます.
-
         </para>
-
         <informalequation>
-
             <mediaobject>
-
                 <imageobject>
-
                     <imagedata align="left">
-
                         <mml:math>
-
                             <mml:semantics>
-
                                 <mml:mrow>
-
                                     <mml:mo mml:stretchy="true">{</mml:mo>
-
                                     <mml:mtable>
-
                                         <mml:mtr>
-
                                             <mml:mrow>
-
                                                 <mml:mrow>
-
                                                     <mml:msubsup>
-
                                                         <mml:mi>u</mml:mi>
-
                                                         <mml:mi>i</mml:mi>
-
                                                         <mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                             <mml:msub>
-
                                                                 <mml:mi>m</mml:mi>
-
                                                                 <mml:mi>i</mml:mi>
-
                                                             </mml:msub>
-
                                                             <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                         </mml:mrow>
-
                                                     </mml:msubsup>
-
                                                     <mml:mo mml:stretchy="false">=</mml:mo>
-
                                                     <mml:msub>
-
                                                         <mml:mi>f</mml:mi>
-
                                                         <mml:mi>i</mml:mi>
-
                                                     </mml:msub>
-
                                                 </mml:mrow>
-
                                                 <mml:mrow>
-
                                                     <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                     <mml:mrow>
-
                                                         <mml:mi>x</mml:mi>
-
                                                         <mml:mi>,</mml:mi>
-
                                                         <mml:mi>z</mml:mi>
-
                                                         <mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                             <mml:mrow>
-
                                                                 <mml:mi>u</mml:mi>
-
                                                                 <mml:mrow>
-
                                                                     <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                                     <mml:mi>x</mml:mi>
-
                                                                     <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                                 </mml:mrow>
-
                                                             </mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                         </mml:mrow>
-
                                                     </mml:mrow>
-
                                                     <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                 </mml:mrow>
-
                                                 <mml:mi/>
-
                                                 <mml:mrow>
-
                                                     <mml:mo mml:stretchy="true">{</mml:mo>
-
                                                     <mml:mtable>
-
                                                         <mml:mtr>
-
                                                             <mml:mrow>
-
                                                                 <mml:mrow>
-
                                                                     <mml:mi>i</mml:mi>
-
                                                                     <mml:mo mml:stretchy="false">=</mml:mo>
-
                                                                     <mml:mn>1</mml:mn>
-
                                                                 </mml:mrow>
-
                                                                 <mml:mi mml:fontstyle="normal">:</mml:mi>
-
                                                                 <mml:mi>N</mml:mi>
-
                                                             </mml:mrow>
-
                                                         </mml:mtr>
-
                                                         <mml:mtr>
-
                                                             <mml:mrow>
-
                                                                 <mml:mi>x</mml:mi>
-
                                                                 <mml:mo mml:stretchy="false">∈</mml:mo>
-
                                                                 <mml:mfenced mml:close="[" mml:open="]">
-
                                                                     <mml:mrow>
-
                                                                         <mml:msub>
-
                                                                             <mml:mi>x</mml:mi>
-
                                                                             <mml:mi>l</mml:mi>
-
                                                                         </mml:msub>
-
                                                                         <mml:mi>,</mml:mi>
-
                                                                         <mml:msub>
-
                                                                             <mml:mi>x</mml:mi>
-
                                                                             <mml:mi>u</mml:mi>
-
                                                                         </mml:msub>
-
                                                                     </mml:mrow>
-
                                                                 </mml:mfenced>
-
                                                             </mml:mrow>
-
                                                         </mml:mtr>
-
                                                     </mml:mtable>
-
                                                 </mml:mrow>
-
                                             </mml:mrow>
-
                                         </mml:mtr>
-
                                         <mml:mtr>
-
                                             <mml:mi/>
-
                                         </mml:mtr>
-
                                         <mml:mtr>
-
                                             <mml:mrow>
-
                                                 <mml:msub>
-
                                                     <mml:mi>g</mml:mi>
-
                                                     <mml:mi>j</mml:mi>
-
                                                 </mml:msub>
-
                                                 <mml:mrow>
-
                                                     <mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                         <mml:mrow>
-
                                                             <mml:msub>
-
                                                                 <mml:mo mml:stretchy="false">ζ</mml:mo>
-
                                                                 <mml:mi>j</mml:mi>
-
                                                             </mml:msub>
-
                                                             <mml:mi>,</mml:mi>
-
                                                             <mml:mi>z</mml:mi>
-
                                                             <mml:mrow>
-
                                                                 <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                                 <mml:mrow>
-
                                                                     <mml:mi>u</mml:mi>
-
                                                                     <mml:mrow>
-
                                                                         <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                                         <mml:msub>
-
                                                                             <mml:mo mml:stretchy="false">ζ</mml:mo>
-
                                                                             <mml:mi>j</mml:mi>
-
                                                                         </mml:msub>
-
                                                                         <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                                     </mml:mrow>
-
                                                                 </mml:mrow>
-
                                                                 <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                             </mml:mrow>
-
                                                         </mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                     </mml:mrow>
-
                                                     <mml:mo mml:stretchy="false">=</mml:mo>
-
                                                     <mml:mn>0</mml:mn>
-
                                                 </mml:mrow>
-
                                                 <mml:mi/>
-
                                                 <mml:mrow>
-
                                                     <mml:mtext>,</mml:mtext>
-
                                                     <mml:mi>j</mml:mi>
-
                                                     <mml:mo mml:stretchy="false">=</mml:mo>
-
                                                     <mml:mn>1</mml:mn>
-
                                                 </mml:mrow>
-
                                                 <mml:mi mml:fontstyle="normal">:</mml:mi>
-
                                                 <mml:mi>M</mml:mi>
-
                                             </mml:mrow>
-
                                         </mml:mtr>
-
                                     </mml:mtable>
-
                                 </mml:mrow>
-
                                 <mml:annotation mml:encoding="StarMath 5.0">left lbrace
-
                                     stack{u_i^(m_i)=f_i(x,z(u(x))) ~~left lbrace { binom{i=1:N}{x
-
                                     in left ] a_l, a_u right [} } right none# `#
-
                                     g_j(%zeta_j,z(u(%zeta_j))) = 0~~j=1:M} right
-
                                     none
-
                                 </mml:annotation>
-
                             </mml:semantics>
-
                         </mml:math>
-
                     </imagedata>
-
                 </imageobject>
-
             </mediaobject>
-
         </informalequation>
-
         <para>ただし,e</para>
-
         <mediaobject>
-
             <imageobject>
-
                 <imagedata align="left">
-
                     <mml:math>
-
                         <mml:semantics>
-
                             <mml:mrow>
-
                                 <mml:mo mml:stretchy="true">{</mml:mo>
-
                                 <mml:mtable>
-
                                     <mml:mtr>
-
                                         <mml:mrow>
-
                                             <mml:mi>M</mml:mi>
-
                                             <mml:mo mml:stretchy="false">=</mml:mo>
-
                                             <mml:mrow>
-
                                                 <mml:munderover>
-
                                                     <mml:mo mml:stretchy="false">∑</mml:mo>
-
                                                     <mml:mrow>
-
                                                         <mml:mi>i</mml:mi>
-
                                                         <mml:mo mml:stretchy="false">=</mml:mo>
-
                                                         <mml:mn>1</mml:mn>
-
                                                     </mml:mrow>
-
                                                     <mml:mi>N</mml:mi>
-
                                                 </mml:munderover>
-
                                                 <mml:msub>
-
                                                     <mml:mi>m</mml:mi>
-
                                                     <mml:mi>i</mml:mi>
-
                                                 </mml:msub>
-
                                             </mml:mrow>
-
                                         </mml:mrow>
-
                                     </mml:mtr>
-
                                     <mml:mtr>
-
                                         <mml:mi/>
-
                                     </mml:mtr>
-
                                     <mml:mtr>
-
                                         <mml:mrow>
-
                                             <mml:mi>z</mml:mi>
-
                                             <mml:mrow>
-
                                                 <mml:mrow>
-
                                                     <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                     <mml:mrow>
-
                                                         <mml:mi>u</mml:mi>
-
                                                         <mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                             <mml:mi>x</mml:mi>
-
                                                             <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                         </mml:mrow>
-
                                                     </mml:mrow>
-
                                                     <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                 </mml:mrow>
-
                                                 <mml:mo mml:stretchy="false">=</mml:mo>
-
                                                 <mml:mrow>
-
                                                     <mml:mo mml:stretchy="false">[</mml:mo>
-
                                                     <mml:mrow>
-
                                                         <mml:msub>
-
                                                             <mml:mi>u</mml:mi>
-
                                                             <mml:mn>1</mml:mn>
-
                                                         </mml:msub>
-
                                                         <mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                             <mml:mi>x</mml:mi>
-
                                                             <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                         </mml:mrow>
-
                                                         <mml:mi>;</mml:mi>
-
                                                         <mml:msubsup>
-
                                                             <mml:mi>u</mml:mi>
-
                                                             <mml:mn>1</mml:mn>
-
                                                             <mml:mn>1</mml:mn>
-
                                                         </mml:msubsup>
-
                                                         <mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                             <mml:mi>x</mml:mi>
-
                                                             <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                         </mml:mrow>
-
                                                         <mml:mi>;</mml:mi>
-
                                                         <mml:mo mml:stretchy="false">⋯</mml:mo>
-
                                                         <mml:msubsup>
-
                                                             <mml:mi>u</mml:mi>
-
                                                             <mml:mn>1</mml:mn>
-
                                                             <mml:mrow>
-
                                                                 <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                                 <mml:mrow>
-
                                                                     <mml:msub>
-
                                                                         <mml:mi>m</mml:mi>
-
                                                                         <mml:mn>1</mml:mn>
-
                                                                     </mml:msub>
-
                                                                     <mml:mo mml:stretchy="false">−</mml:mo>
-
                                                                     <mml:mn>1</mml:mn>
-
                                                                 </mml:mrow>
-
                                                                 <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                             </mml:mrow>
-
                                                         </mml:msubsup>
-
                                                         <mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                             <mml:mi>x</mml:mi>
-
                                                             <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                         </mml:mrow>
-
                                                         <mml:mi>;</mml:mi>
-
                                                         <mml:mi/>
-
                                                         <mml:mo mml:stretchy="false">⋯</mml:mo>
-
                                                         <mml:mi>;</mml:mi>
-
                                                         <mml:mi/>
-
                                                         <mml:msub>
-
                                                             <mml:mi>u</mml:mi>
-
                                                             <mml:mi>N</mml:mi>
-
                                                         </mml:msub>
-
                                                         <mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                             <mml:mi>x</mml:mi>
-
                                                             <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                         </mml:mrow>
-
                                                         <mml:mi>;</mml:mi>
-
                                                         <mml:msubsup>
-
                                                             <mml:mi>u</mml:mi>
-
                                                             <mml:mi>N</mml:mi>
-
                                                             <mml:mn>1</mml:mn>
-
                                                         </mml:msubsup>
-
                                                         <mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                             <mml:mi>x</mml:mi>
-
                                                             <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                         </mml:mrow>
-
                                                         <mml:mi>;</mml:mi>
-
                                                         <mml:mo mml:stretchy="false">⋯</mml:mo>
-
                                                         <mml:mi>;</mml:mi>
-
                                                         <mml:msubsup>
-
                                                             <mml:mi>u</mml:mi>
-
                                                             <mml:mi>N</mml:mi>
-
                                                             <mml:mrow>
-
                                                                 <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                                 <mml:mrow>
-
                                                                     <mml:msub>
-
                                                                         <mml:mi>m</mml:mi>
-
                                                                         <mml:mi>N</mml:mi>
-
                                                                     </mml:msub>
-
                                                                     <mml:mo mml:stretchy="false">−</mml:mo>
-
                                                                     <mml:mn>1</mml:mn>
-
                                                                 </mml:mrow>
-
                                                                 <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                             </mml:mrow>
-
                                                         </mml:msubsup>
-
                                                         <mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                             <mml:mi>x</mml:mi>
-
                                                             <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                         </mml:mrow>
-
                                                     </mml:mrow>
-
                                                     <mml:mo mml:stretchy="false">]</mml:mo>
-
                                                 </mml:mrow>
-
                                             </mml:mrow>
-
                                         </mml:mrow>
-
                                     </mml:mtr>
-
                                     <mml:mtr>
-
                                         <mml:mi/>
-
                                     </mml:mtr>
-
                                     <mml:mtr>
-
                                         <mml:mrow>
-
                                             <mml:mrow>
-
                                                 <mml:mrow>
-
                                                     <mml:mrow>
-
                                                         <mml:msub>
-
                                                             <mml:mi>x</mml:mi>
-
                                                             <mml:mi>l</mml:mi>
-
                                                         </mml:msub>
-
                                                         <mml:mo mml:stretchy="false">≤</mml:mo>
-
                                                         <mml:msub>
-
                                                             <mml:mo mml:stretchy="false">ζ</mml:mo>
-
                                                             <mml:mn>1</mml:mn>
-
                                                         </mml:msub>
-
                                                     </mml:mrow>
-
                                                     <mml:mo mml:stretchy="false">≤</mml:mo>
-
                                                     <mml:mo mml:stretchy="false">⋯</mml:mo>
-
                                                 </mml:mrow>
-
                                                 <mml:mo mml:stretchy="false">≤</mml:mo>
-
                                                 <mml:msub>
-
                                                     <mml:mo mml:stretchy="false">ζ</mml:mo>
-
                                                     <mml:mi>M</mml:mi>
-
                                                 </mml:msub>
-
                                             </mml:mrow>
-
                                             <mml:mo mml:stretchy="false">≤</mml:mo>
-
                                             <mml:msub>
-
                                                 <mml:mi>x</mml:mi>
-
                                                 <mml:mi>u</mml:mi>
-
                                             </mml:msub>
-
                                         </mml:mrow>
-
                                     </mml:mtr>
-
                                 </mml:mtable>
-
                             </mml:mrow>
-
                             <mml:annotation mml:encoding="StarMath 5.0">left lbrace stack
-
                                 { M= sum from {i=1} to {N} m_i # ~# z(u(x)) =
-
                                 [u_1(x);u_1^{1}(x);dotsaxis u_1^(m_1-1)(x);~ dotsaxis;
-
                                 ~u_N(x);u_N^{1}(x);dotsaxis; u_N^(m_N-1)(x)]# ~# x_l &lt;=
-
                                 %zeta_1 &lt;= dotsaxis &lt;= %zeta_M &lt;=x_u}right
-
                                 none
-
                             </mml:annotation>
-
                         </mml:semantics>
-
                     </mml:math>
-
                 </imagedata>
-
             </imageobject>
-
         </mediaobject>
-
         <para>
-
             外部関数で使用され, <literal>bvode</literal>  により返される
-
             引数 <literal>zu</literal> は,
-
             指定した <literal>x</literal> に関する <literal>z(u(x))</literal>の要素により
-
             構成される列ベクトルです.
-
         </para>
-
         <para>
-
             解 u を近似するために使用される手法は,
-
             ガウス点におけるコロケーションです.
-
             この方法は,i番目(i = 1:N)の要素についてm(i)-1階の連続微分が可であることを
-
             必要とします.
-
             ここで, k はサブ区間毎のコロケーション点(ステージ)の数で,
-
-            <latex>k \ge \max\left(m(i)\right)</latex> となるように選択されます.
-
+            <emphasis>k ≥ max(m(i))</emphasis> となるように選択されます.
             ルンゲクッタのノミナル解表現が使用されます.
-
         </para>
-
     </refsection>
-
     <refsection>
-
         <title>例</title>
-
         <para>
-
             最初の2つの問題は参考文献の論文 [1] からの引用です.
-
         </para>
-
         <itemizedlist>
-
             <listitem>
-
                 <para>
-
                     <emphasis role="bold">問題 1</emphasis> は
-
                     両端で単純支持され,均等に負荷がかかった剛性が可変の梁について
-
                     記述します.
-
                 </para>
-
                 <para>以下のように定義することができます :</para>
-
                 <para>次の4次の微分方程式を解きます:</para>
-
                 <mediaobject>
-
                     <imageobject>
-
                         <imagedata align="left">
-
                             <mml:math>
-
                                 <mml:semantics>
-
                                     <mml:mrow>
-
                                         <mml:mfrac>
-
                                             <mml:msup>
-
                                                 <mml:mi>d</mml:mi>
-
                                                 <mml:mn>4</mml:mn>
-
                                             </mml:msup>
-
                                             <mml:mrow>
-
                                                 <mml:mi>d</mml:mi>
-
                                                 <mml:msup>
-
                                                     <mml:mi>x</mml:mi>
-
                                                     <mml:mn>4</mml:mn>
-
                                                 </mml:msup>
-
                                             </mml:mrow>
-
                                         </mml:mfrac>
-
                                         <mml:mi>u</mml:mi>
-
                                         <mml:mrow>
-
                                             <mml:mrow>
-
                                                 <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                 <mml:mi>x</mml:mi>
-
                                                 <mml:mo mml:stretchy="false">)</mml:mo>
-
                                             </mml:mrow>
-
                                             <mml:mo mml:stretchy="false">=</mml:mo>
-
                                             <mml:mfrac>
-
                                                 <mml:mrow>
-
                                                     <mml:mrow>
-
                                                         <mml:mn>1</mml:mn>
-
                                                         <mml:mo mml:stretchy="false">−</mml:mo>
-
                                                         <mml:mrow>
-
                                                             <mml:mrow>
-
                                                                 <mml:mn>6</mml:mn>
-
                                                                 <mml:mo mml:stretchy="false">.</mml:mo>
-
                                                                 <mml:msup>
-
                                                                     <mml:mi>x</mml:mi>
-
                                                                     <mml:mn>2</mml:mn>
-
                                                                 </mml:msup>
-
                                                             </mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">.</mml:mo>
-
                                                             <mml:mfrac>
-
                                                                 <mml:msup>
-
                                                                     <mml:mi>d</mml:mi>
-
                                                                     <mml:mn>3</mml:mn>
-
                                                                 </mml:msup>
-
                                                                 <mml:mrow>
-
                                                                     <mml:mi>d</mml:mi>
-
                                                                     <mml:msup>
-
                                                                         <mml:mi>x</mml:mi>
-
                                                                         <mml:mn>3</mml:mn>
-
                                                                     </mml:msup>
-
                                                                 </mml:mrow>
-
                                                             </mml:mfrac>
-
                                                         </mml:mrow>
-
                                                     </mml:mrow>
-
                                                     <mml:mi>u</mml:mi>
-
                                                     <mml:mrow>
-
                                                         <mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                             <mml:mi>x</mml:mi>
-
                                                             <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                         </mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">−</mml:mo>
-
                                                         <mml:mrow>
-
                                                             <mml:mrow>
-
                                                                 <mml:mn>6</mml:mn>
-
                                                                 <mml:mo mml:stretchy="false">.</mml:mo>
-
                                                                 <mml:mi>x</mml:mi>
-
                                                             </mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">.</mml:mo>
-
                                                             <mml:mfrac>
-
                                                                 <mml:msup>
-
                                                                     <mml:mi>d</mml:mi>
-
                                                                     <mml:mn>2</mml:mn>
-
                                                                 </mml:msup>
-
                                                                 <mml:mrow>
-
                                                                     <mml:mi>d</mml:mi>
-
                                                                     <mml:msup>
-
                                                                         <mml:mi>x</mml:mi>
-
                                                                         <mml:mn>2</mml:mn>
-
                                                                     </mml:msup>
-
                                                                 </mml:mrow>
-
                                                             </mml:mfrac>
-
                                                         </mml:mrow>
-
                                                     </mml:mrow>
-
                                                     <mml:mi>u</mml:mi>
-
                                                     <mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                         <mml:mi>x</mml:mi>
-
                                                         <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                     </mml:mrow>
-
                                                 </mml:mrow>
-
                                                 <mml:msup>
-
                                                     <mml:mi>x</mml:mi>
-
                                                     <mml:mn>3</mml:mn>
-
                                                 </mml:msup>
-
                                             </mml:mfrac>
-
                                         </mml:mrow>
-
                                     </mml:mrow>
-
                                     <mml:annotation mml:encoding="StarMath 5.0">d^4 over {d
-
                                         x^4} u(x)={1 -6*x^2*{{d^3} over {d x^3}} u(x)-6*x*{{d^2}
-
                                         over {d x^2}} u(x)} over x^3
-
                                     </mml:annotation>
-
                                 </mml:semantics>
-
                             </mml:math>
-
                         </imagedata>
-
                     </imageobject>
-
                 </mediaobject>
-
                 <para>設定する境界条件:</para>
-
                 <mediaobject>
-
                     <imageobject>
-
                         <imagedata align="left">
-
                             <mml:math>
-
                                 <mml:semantics>
-
                                     <mml:mrow>
-
                                         <mml:mo mml:stretchy="true">{</mml:mo>
-
                                         <mml:mtable>
-
                                             <mml:mtr>
-
                                                 <mml:mrow>
-
                                                     <mml:mi>u</mml:mi>
-
                                                     <mml:mrow>
-
                                                         <mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                             <mml:mn>1</mml:mn>
-
                                                             <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                         </mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">=</mml:mo>
-
                                                         <mml:mn>0</mml:mn>
-
                                                     </mml:mrow>
-
                                                 </mml:mrow>
-
                                             </mml:mtr>
-
                                             <mml:mtr>
-
                                                 <mml:mrow>
-
                                                     <mml:mfrac>
-
                                                         <mml:msup>
-
                                                             <mml:mi>d</mml:mi>
-
                                                             <mml:mn>2</mml:mn>
-
                                                         </mml:msup>
-
                                                         <mml:mrow>
-
                                                             <mml:mi>d</mml:mi>
-
                                                             <mml:msup>
-
                                                                 <mml:mi>x</mml:mi>
-
                                                                 <mml:mn>2</mml:mn>
-
                                                             </mml:msup>
-
                                                         </mml:mrow>
-
                                                     </mml:mfrac>
-
                                                     <mml:mi>u</mml:mi>
-
                                                     <mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                         <mml:mi>x</mml:mi>
-
                                                         <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                     </mml:mrow>
-
                                                     <mml:mrow>
-
                                                         <mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                             <mml:mn>1</mml:mn>
-
                                                             <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                         </mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">=</mml:mo>
-
                                                         <mml:mn>0</mml:mn>
-
                                                     </mml:mrow>
-
                                                 </mml:mrow>
-
                                             </mml:mtr>
-
                                             <mml:mtr>
-
                                                 <mml:mrow>
-
                                                     <mml:mi>u</mml:mi>
-
                                                     <mml:mrow>
-
                                                         <mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                             <mml:mn>2</mml:mn>
-
                                                             <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                         </mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">=</mml:mo>
-
                                                         <mml:mn>0</mml:mn>
-
                                                     </mml:mrow>
-
                                                 </mml:mrow>
-
                                             </mml:mtr>
-
                                             <mml:mtr>
-
                                                 <mml:mrow>
-
                                                     <mml:mfrac>
-
                                                         <mml:msup>
-
                                                             <mml:mi>d</mml:mi>
-
                                                             <mml:mn>2</mml:mn>
-
                                                         </mml:msup>
-
                                                         <mml:mrow>
-
                                                             <mml:mi>d</mml:mi>
-
                                                             <mml:msup>
-
                                                                 <mml:mi>x</mml:mi>
-
                                                                 <mml:mn>2</mml:mn>
-
                                                             </mml:msup>
-
                                                         </mml:mrow>
-
                                                     </mml:mfrac>
-
                                                     <mml:mi>u</mml:mi>
-
                                                     <mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                         <mml:mi>x</mml:mi>
-
                                                         <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                     </mml:mrow>
-
                                                     <mml:mrow>
-
                                                         <mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                             <mml:mn>2</mml:mn>
-
                                                             <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                         </mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">=</mml:mo>
-
                                                         <mml:mn>0</mml:mn>
-
                                                     </mml:mrow>
-
                                                 </mml:mrow>
-
                                             </mml:mtr>
-
                                         </mml:mtable>
-
                                     </mml:mrow>
-
                                     <mml:annotation mml:encoding="StarMath 5.0">left lbrace
-
                                         stack{ u(1)=0# {{d^2} over {d x^2}} u(x)(1)=0# u(2)=0#
-
                                         {{d^2} over {d x^2}} u(x)(2)=0} right
-
                                         none
-
                                     </mml:annotation>
-
                                 </mml:semantics>
-
                             </mml:math>
-
                         </imagedata>
-
                     </imageobject>
-
                 </mediaobject>
-
                 <para>この問題の厳密解は以下のようになることが知られています:</para>
-
                 <mediaobject>
-
                     <imageobject>
-
                         <imagedata align="left">
-
                             <mml:math>
-
                                 <mml:semantics>
-
                                     <mml:mrow>
-
                                         <mml:mi>u</mml:mi>
-
                                         <mml:mrow>
-
                                             <mml:mrow>
-
                                                 <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                 <mml:mi>x</mml:mi>
-
                                                 <mml:mo mml:stretchy="false">)</mml:mo>
-
                                             </mml:mrow>
-
                                             <mml:mo mml:stretchy="false">=</mml:mo>
-
                                             <mml:mfrac>
-
                                                 <mml:mn>1</mml:mn>
-
                                                 <mml:mn>4</mml:mn>
-
                                             </mml:mfrac>
-
                                         </mml:mrow>
-
                                         <mml:mrow>
-
                                             <mml:mo mml:stretchy="false">(</mml:mo>
-
                                             <mml:mrow>
-
                                                 <mml:mn>10</mml:mn>
-
                                                 <mml:mi/>
-
                                                 <mml:mi>log</mml:mi>
-
                                                 <mml:mrow>
-
                                                     <mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                         <mml:mn>2</mml:mn>
-
                                                         <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                     </mml:mrow>
-
                                                     <mml:mo mml:stretchy="false">−</mml:mo>
-
                                                     <mml:mn>3</mml:mn>
-
                                                 </mml:mrow>
-
                                             </mml:mrow>
-
                                             <mml:mo mml:stretchy="false">)</mml:mo>
-
                                         </mml:mrow>
-
                                         <mml:mi/>
-
                                         <mml:mrow>
-
                                             <mml:mrow>
-
                                                 <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                 <mml:mrow>
-
                                                     <mml:mn>1</mml:mn>
-
                                                     <mml:mo mml:stretchy="false">−</mml:mo>
-
                                                     <mml:mi>x</mml:mi>
-
                                                 </mml:mrow>
-
                                                 <mml:mo mml:stretchy="false">)</mml:mo>
-
                                             </mml:mrow>
-
                                             <mml:mo mml:stretchy="false">+</mml:mo>
-
                                             <mml:mfrac>
-
                                                 <mml:mn>1</mml:mn>
-
                                                 <mml:mn>2</mml:mn>
-
                                             </mml:mfrac>
-
                                         </mml:mrow>
-
                                         <mml:mrow>
-
                                             <mml:mo mml:stretchy="false">[</mml:mo>
-
                                             <mml:mrow>
-
                                                 <mml:mfrac>
-
                                                     <mml:mn>1</mml:mn>
-
                                                     <mml:mi>x</mml:mi>
-
                                                 </mml:mfrac>
-
                                                 <mml:mo mml:stretchy="false">+</mml:mo>
-
                                                 <mml:mrow>
-
                                                     <mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                         <mml:mrow>
-
                                                             <mml:mn>3</mml:mn>
-
                                                             <mml:mo mml:stretchy="false">+</mml:mo>
-
                                                             <mml:mi>x</mml:mi>
-
                                                         </mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                     </mml:mrow>
-
                                                     <mml:mi/>
-
                                                     <mml:mi>log</mml:mi>
-
                                                     <mml:mrow>
-
                                                         <mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                             <mml:mi>x</mml:mi>
-
                                                             <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                         </mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">−</mml:mo>
-
                                                         <mml:mi>x</mml:mi>
-
                                                     </mml:mrow>
-
                                                 </mml:mrow>
-
                                             </mml:mrow>
-
                                             <mml:mo mml:stretchy="false">]</mml:mo>
-
                                         </mml:mrow>
-
                                     </mml:mrow>
-
                                     <mml:annotation mml:encoding="StarMath 5.0">u(x)=1 over 4
-
                                         (10`log(2)-3)`(1-x)+ {1 over 2} [ {1 over x} + {(3+x) `
-
                                         log(x)-x}]
-
                                     </mml:annotation>
-
                                 </mml:semantics>
-
                             </mml:math>
-
                         </imagedata>
-
                     </imageobject>
-
                 </mediaobject>
-
                 <programlisting role="example"><![CDATA[
 N=1;// just one differential equation
 m=4;//a fourth order  differential equation
@@ -3544,10 +1801,14 @@ zeta=[x_low,x_low,x_up,x_up]; //two constraints (on the value of u and its secon
 //These functions are called by the solver with zu=[u(x);u'(x);u''(x);u'''(x)]
 
 // - The function which computes the right hand side of the differential equation
-function f=fsub(x,zu),f=(1-6*x^2*zu(4)-6*x*zu(3))/x^3,endfunction
+function f=fsub(x,zu)
+    f=(1-6*x^2*zu(4)-6*x*zu(3))/x^3
+endfunction
 
 // - The function which computes the derivative of fsub with respect to zu
-function df=dfsub(x,zu),df=[0,0,-6/x^2,-6/x],endfunction
+function df=dfsub(x,zu),
+    df=[0,0,-6/x^2,-6/x]
+endfunction
 
 // - The function which computes the ith constraint for a given i
 function g=gsub(i,zu),
@@ -3578,9 +1839,12 @@ function dg=dgsub(i,z)
 endfunction
 
 // - The function which computes the initial guess, unused here
-function [zu,mpar]=guess(x),zu=0;mpar=0,endfunction
+function [zu,mpar]=guess(x)
+    zu = 0;
+    mpar = 0
+endfunction
 
- //define the function which computes the exact value of u for a given x ( for testing purposes)
+//define the function which computes the exact value of u for a given x ( for testing purposes)
 function zu=trusol(x)
   zu=0*ones(4,1)
   zu(1) =  0.25*(10*log(2)-3)*(1-x) + 0.5 *( 1/x   + (3+x)*log(x) - x)
@@ -3606,17 +1870,11 @@ plot(xpoints,zu(1,:)) // the evolution of the solution u
 zu1=[];for x=xpoints,zu1=[zu1,trusol(x)]; end;
 norm(zu-zu1)
  ]]></programlisting>
-
             </listitem>
-
             <listitem>
-
                 <para>
-
                     同じ問題で <literal>bvodeS</literal> と初期推定を用います
-
                 </para>
-
                 <programlisting role="example"><![CDATA[
 function [z,lhS]=zstart(x)
   z=zeros(5,1);z(5)=1;
@@ -3624,473 +1882,239 @@ function [z,lhS]=zstart(x)
 endfunction
 zu=bvode(xpoints,N,m,x_low,x_up,zeta,ltol=ltol,tol=tol,guess=zstart)
  ]]></programlisting>
-
             </listitem>
-
             <listitem>
-
                 <para>
-
                     <emphasis role="bold">問題 2</emphasis>は,
-
                     二次関数として変化する軸対象の外部圧力分布のもとでの
-
                     一定の厚みの薄く浅い球状のキャップの
-
                     微小な有限変形を記述するものです.
-
-                    ここで, <latex>$\varphi$</latex> は変形したシェルの経線角度変化, <latex>$\psi$</latex> は応力関数です.
-
-                    <latex>$\varepsilon=\mu=10^{-3}$</latex>の場合,開始点に依存して2つの異なる解が得られる可能性が
-
+                    ここで, <emphasis>φ</emphasis> は変形したシェルの経線角度変化, <emphasis>ψ</emphasis> は応力関数です.
+                    <emphasis>ε = μ = 10<superscript>-3</superscript></emphasis>の場合,開始点に依存して2つの異なる解が得られる可能性が
                     あります.
-
                 </para>
-
                 <mediaobject>
-
                     <imageobject>
-
                         <imagedata align="left">
-
                             <mml:math>
-
                                 <mml:semantics>
-
                                     <mml:mrow>
-
                                         <mml:mo mml:stretchy="true">{</mml:mo>
-
                                         <mml:mtable>
-
                                             <mml:mtr>
-
                                                 <mml:mrow>
-
                                                     <mml:mfrac>
-
                                                         <mml:msup>
-
                                                             <mml:mo mml:stretchy="false">ε</mml:mo>
-
                                                             <mml:mn>4</mml:mn>
-
                                                         </mml:msup>
-
                                                         <mml:mo mml:stretchy="false">μ</mml:mo>
-
                                                     </mml:mfrac>
-
                                                     <mml:mrow>
-
                                                         <mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                             <mml:mrow>
-
                                                                 <mml:mo mml:stretchy="false">φ</mml:mo>
-
                                                                 <mml:mi>'</mml:mi>
-
                                                                 <mml:mrow>
-
                                                                     <mml:mrow>
-
                                                                         <mml:mi>'</mml:mi>
-
                                                                         <mml:mo mml:stretchy="false">+</mml:mo>
-
                                                                         <mml:mfrac>
-
                                                                             <mml:mrow>
-
                                                                                 <mml:mo mml:stretchy="false">φ</mml:mo>
-
                                                                                 <mml:mi>'</mml:mi>
-
                                                                             </mml:mrow>
-
                                                                             <mml:mi>x</mml:mi>
-
                                                                         </mml:mfrac>
-
                                                                     </mml:mrow>
-
                                                                     <mml:mo mml:stretchy="false">−</mml:mo>
-
                                                                     <mml:mfrac>
-
                                                                         <mml:mo mml:stretchy="false">φ</mml:mo>
-
                                                                         <mml:msup>
-
                                                                             <mml:mi>x</mml:mi>
-
                                                                             <mml:mn>2</mml:mn>
-
                                                                         </mml:msup>
-
                                                                     </mml:mfrac>
-
                                                                 </mml:mrow>
-
                                                             </mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                         </mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">+</mml:mo>
-
                                                         <mml:mo mml:stretchy="false">ψ</mml:mo>
-
                                                     </mml:mrow>
-
                                                     <mml:mrow>
-
                                                         <mml:mrow>
-
                                                             <mml:mrow>
-
                                                                 <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                                 <mml:mrow>
-
                                                                     <mml:mn>1</mml:mn>
-
                                                                     <mml:mo mml:stretchy="false">−</mml:mo>
-
                                                                     <mml:mfrac>
-
                                                                         <mml:mo mml:stretchy="false">φ</mml:mo>
-
                                                                         <mml:mi>x</mml:mi>
-
                                                                     </mml:mfrac>
-
                                                                 </mml:mrow>
-
                                                                 <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                             </mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">−</mml:mo>
-
                                                             <mml:mo mml:stretchy="false">φ</mml:mo>
-
                                                         </mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">+</mml:mo>
-
                                                         <mml:mo mml:stretchy="false">γ</mml:mo>
-
                                                     </mml:mrow>
-
                                                     <mml:mi>x</mml:mi>
-
                                                     <mml:mrow>
-
                                                         <mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                             <mml:mrow>
-
                                                                 <mml:mn>1</mml:mn>
-
                                                                 <mml:mo mml:stretchy="false">−</mml:mo>
-
                                                                 <mml:mfrac>
-
                                                                     <mml:msup>
-
                                                                         <mml:mi>x</mml:mi>
-
                                                                         <mml:mn>2</mml:mn>
-
                                                                     </mml:msup>
-
                                                                     <mml:mn>2</mml:mn>
-
                                                                 </mml:mfrac>
-
                                                             </mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                         </mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">=</mml:mo>
-
                                                         <mml:mn>0</mml:mn>
-
                                                     </mml:mrow>
-
                                                 </mml:mrow>
-
                                             </mml:mtr>
-
                                             <mml:mtr>
-
                                                 <mml:mrow>
-
                                                     <mml:mo mml:stretchy="false">μ</mml:mo>
-
                                                     <mml:mrow>
-
                                                         <mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                             <mml:mrow>
-
                                                                 <mml:mo mml:stretchy="false">ψ</mml:mo>
-
                                                                 <mml:mi>'</mml:mi>
-
                                                                 <mml:mrow>
-
                                                                     <mml:mrow>
-
                                                                         <mml:mi>'</mml:mi>
-
                                                                         <mml:mo mml:stretchy="false">+</mml:mo>
-
                                                                         <mml:mfrac>
-
                                                                             <mml:mrow>
-
                                                                                 <mml:mo mml:stretchy="false">ψ</mml:mo>
-
                                                                                 <mml:mi>'</mml:mi>
-
                                                                             </mml:mrow>
-
                                                                             <mml:mi>x</mml:mi>
-
                                                                         </mml:mfrac>
-
                                                                     </mml:mrow>
-
                                                                     <mml:mo mml:stretchy="false">−</mml:mo>
-
                                                                     <mml:mfrac>
-
                                                                         <mml:mo mml:stretchy="false">ψ</mml:mo>
-
                                                                         <mml:msup>
-
                                                                             <mml:mi>x</mml:mi>
-
                                                                             <mml:mn>2</mml:mn>
-
                                                                         </mml:msup>
-
                                                                     </mml:mfrac>
-
                                                                 </mml:mrow>
-
                                                             </mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                         </mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">−</mml:mo>
-
                                                         <mml:mo mml:stretchy="false">φ</mml:mo>
-
                                                     </mml:mrow>
-
                                                     <mml:mrow>
-
                                                         <mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">(</mml:mo>
-
                                                             <mml:mrow>
-
                                                                 <mml:mn>1</mml:mn>
-
                                                                 <mml:mo mml:stretchy="false">−</mml:mo>
-
                                                                 <mml:mfrac>
-
                                                                     <mml:mo mml:stretchy="false">φ</mml:mo>
-
                                                                     <mml:mn>2x</mml:mn>
-
                                                                 </mml:mfrac>
-
                                                             </mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">)</mml:mo>
-
                                                         </mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">=</mml:mo>
-
                                                         <mml:mn>0</mml:mn>
-
                                                     </mml:mrow>
-
                                                 </mml:mrow>
-
                                             </mml:mtr>
-
                                             <mml:mtr>
-
                                                 <mml:mrow>
-
                                                     <mml:mrow>
-
                                                         <mml:mn>0</mml:mn>
-
                                                         <mml:mo mml:stretchy="false">&lt;</mml:mo>
-
                                                         <mml:mi>x</mml:mi>
-
                                                     </mml:mrow>
-
                                                     <mml:mo mml:stretchy="false">&lt;</mml:mo>
-
                                                     <mml:mn>1</mml:mn>
-
                                                 </mml:mrow>
-
                                             </mml:mtr>
-
                                         </mml:mtable>
-
                                     </mml:mrow>
-
                                     <mml:annotation mml:encoding="StarMath 5.0">left lbrace
-
                                         stack{{%epsilon^4} over %mu (%phi''+ {%phi'} over x
-
                                         -{%phi} over {x^2} ) +%psi (1- %phi over x ) -%phi+%gamma
-
                                         x(1-{x^2} over 2)=0# %mu(%psi''+{%psi'} over x-%psi over
-
                                         {x^2})-%phi(1-%phi over{2x})=0 # 0&lt;x&lt;1} right
-
                                         none
-
                                     </mml:annotation>
-
                                 </mml:semantics>
-
                             </mml:math>
-
                         </imagedata>
-
                     </imageobject>
-
                 </mediaobject>
-
                 <para>境界条件のもとで</para>
-
                 <mediaobject>
-
                     <imageobject>
-
                         <imagedata align="left">
-
                             <mml:math>
-
                                 <mml:semantics>
-
                                     <mml:mrow>
-
                                         <mml:mo mml:stretchy="true">{</mml:mo>
-
                                         <mml:mtable>
-
                                             <mml:mtr>
-
                                                 <mml:mrow>
-
                                                     <mml:mo mml:stretchy="false">φ</mml:mo>
-
                                                     <mml:mo mml:stretchy="false">=</mml:mo>
-
                                                     <mml:mn>0</mml:mn>
-
                                                 </mml:mrow>
-
                                             </mml:mtr>
-
                                             <mml:mtr>
-
                                                 <mml:mrow>
-
                                                     <mml:mi>x</mml:mi>
-
                                                     <mml:mi/>
-
                                                     <mml:mo mml:stretchy="false">ψ</mml:mo>
-
                                                     <mml:mrow>
-
                                                         <mml:mi>'</mml:mi>
-
                                                         <mml:mo mml:stretchy="false">−</mml:mo>
-
                                                         <mml:mn>0.3</mml:mn>
-
                                                     </mml:mrow>
-
                                                     <mml:mrow>
-
                                                         <mml:mrow>
-
                                                             <mml:mo mml:stretchy="false">ψ</mml:mo>
-
                                                             <mml:mo mml:stretchy="false">+</mml:mo>
-
                                                             <mml:mn>0.7x</mml:mn>
-
                                                         </mml:mrow>
-
                                                         <mml:mo mml:stretchy="false">=</mml:mo>
-
                                                         <mml:mn>0</mml:mn>
-
                                                     </mml:mrow>
-
                                                 </mml:mrow>
-
                                             </mml:mtr>
-
                                         </mml:mtable>
-
                                     </mml:mrow>
-
                                     <mml:annotation mml:encoding="StarMath 5.0">left lbrace
-
                                         stack{ %phi=0# x`%psi'-0.3%psi+0.7x=0} right
-
                                         none
-
                                     </mml:annotation>
-
                                 </mml:semantics>
-
                             </mml:math>
-
                         </imagedata>
-
                     </imageobject>
-
                 </mediaobject>
-
                 <para>
-
                     <literal>x=0</literal> かつ <literal>x=1</literal>の場合
-
                 </para>
-
                 <programlisting role="example"><![CDATA[
 N=2;// two differential equations
 m=[2 2];//each differential equation is of second  order
@@ -4163,8 +2187,8 @@ xpoints=x_low:0.01:x_up;
 zu=bvode(xpoints,N,m,x_low,x_up,zeta,ipar,ltol,tol,fixpnt,...
         fsub2,dfsub2,gsub2,dgsub2,guess2);
 scf(1);clf();plot(xpoints,zu([1 3],:)) // the evolution of the solution phi and psi
-
 //using an initial guess
+
 // - The function which computes the initial guess, unused here
 function [zu,dmval]=guess2(x,gam),
    cons=gam*x*(1-x^2/2)
@@ -4179,23 +2203,22 @@ function [zu,dmval]=guess2(x,gam),
      dmval(2)=d2cons
    end
 endfunction
-ipar(9)=1;//iguess
 
+zu=bvode(xpoints,N,m,x_low,x_up,zeta,ipar,ltol,tol,fixpnt,...
+        fsub2,dfsub2,gsub2,dgsub2,guess2);
+scf(1);clf();plot(xpoints,zu([1 3],:)) // the evolution of the solution phi and psi
+
+//using an initial guess
+ipar(9) = 1;
 zu2=bvode(xpoints,N,m,x_low,x_up,zeta,ipar,ltol,tol,fixpnt,...
         fsub2,dfsub2,gsub2,dgsub2,guess2);
 scf(2);clf();plot(xpoints,zu2([1 3],:)) // the evolution of the solution phi and psi
  ]]></programlisting>
-
             </listitem>
-
             <listitem>
-
                 <para>
-
                     <emphasis role="bold">固有値問題:</emphasis>
-
                 </para>
-
                 <programlisting role="example"><![CDATA[
 // y''(x)=-la*y(x)
 // BV: y(0)=y'(0); y(1)=0
@@ -4232,7 +2255,8 @@ N=101;
 x=linspace(a,b,N)';
 
 // We have s(n)-(n+1/2)*pi -> 0 for n to infinity.
-la0=input('n-th eigenvalue: n= ?');la0=(%pi/2+la0*%pi)^2;
+la0=input('n-th eigenvalue: n= ?');
+la0=(%pi/2+la0*%pi)^2;
 
 z=bvodeS(x,m,n,a,b,fsub,gsub,zeta,ystart=list(ystart,la0));
 
@@ -4241,79 +2265,36 @@ plot(x,[z(1,:)' z(2,:)'])
 xtitle(['Startvalue =  '+string(la0);'Eigenvalue = '+string(z(3,1))],'x',' ')
 legend(['y(x)';'y''(x)'])
  ]]></programlisting>
-
                 <scilab:image localized="true">
-
                     function rhs=fsub(x,z)
-
                     rhs=[-z(3)*z(1);0]
-
                     endfunction
-
-
-
                     function g=gsub(i,z)
-
                     g=[z(1)-z(2) z(1)-1 z(1)]
-
                     g=g(i)
-
                     endfunction
-
-
-
                     function [z,lhs]=ystart(x,z,la0)
-
                     z=[1;0;la0]
-
                     lhs=[0;0]
-
                     endfunction
-
-
-
                     a=0;b=1;
-
                     m=[2;1];
-
                     n=2;
-
                     zeta=[a a b];
-
                     N=101;
-
                     x=linspace(a,b,N)';
-
-
-
                     la0=10;
-
                     la0=(%pi/2+la0*%pi)^2;
-
-
-
                     z=bvodeS(x,m,n,a,b,fsub,gsub,zeta,ystart=list(ystart,la0),iprint=1);
-
-
-
                     plot(x,[z(1,:)' z(2,:)']);
-
                     xtitle(['Startvalue =  '+string(la0);'Eigenvalue = '+string(z(3,1))],'x',' ');
-
                     legend(['y(x)';'y''(x)']);
-
                 </scilab:image>
-
             </listitem>
-
             <listitem>
-
                 <para>
-
                     <emphasis role="bold">複数の解がある多点境界値問題.</emphasis>
-
                 </para>
-
                 <programlisting role="example"><![CDATA[
 // DE: y''(x)=-exp(y(x))
 // BV: y(0)=0; y(1)=0
@@ -4322,13 +2303,17 @@ legend(['y(x)';'y''(x)'])
 // some preinformation of the solutions y(x) to build the function ystart.
 // z=[y(x);y'(x)]
 
-a=0;b=1;m=2;n=1;
+a=0;
+b=1;
+m=2;
+n=1;
 zeta=[a b];
 N=101;
 tol=1e-8*[1 1];
 x=linspace(a,b,N);
-
-function rhs=fsub(x,z),rhs=-exp(z(1));endfunction
+function rhs=fsub(x,z)
+    rhs=-exp(z(1));
+endfunction
 
 function g=gsub(i,z)
   g=[z(1) z(1)]
@@ -4349,21 +2334,23 @@ for M=[1 4]
       z1=bvodeS(x,m,n,a,b,fsub,gsub,zeta,ystart=list(ystart,M),tol=tol);
    end
 end
-
 // Integrating the ode yield e.g. the two solutions yex and yex1.
-
-function y=f(c),y=c.*(1-tanh(sqrt(c)/4).^2)-2;endfunction
-c=fsolve(2,f);
+function y=f(c)
+    y=c.*(1-tanh(sqrt(c)/4).^2)-2;
+endfunction
+c = fsolve(2,f);
 
 function y=yex(x,c)
-  y=log(c/2*(1-tanh(sqrt(c)*(1/4-x/2)).^2))
+  y = log(c/2*(1-tanh(sqrt(c)*(1/4-x/2)).^2))
 endfunction
 
-function y=f1(c1), y=2*c1^2+tanh(1/4/c1)^2-1;endfunction
-c1=fsolve(0.1,f1);
+function y=f1(c1)
+    y = 2*c1^2+tanh(1/4/c1)^2-1;
+endfunction
+c1 = fsolve(0.1,f1);
 
 function y=yex1(x,c1)
-  y=log((1-tanh((2*x-1)/4/c1).^2)/2/c1/c1)
+  y = log((1-tanh((2*x-1)/4/c1).^2)/2/c1/c1)
 endfunction
 
 disp('norm(yex(x)-z(1,:))= ', norm(z(1,:)-yex(x)))
@@ -4376,135 +2363,60 @@ subplot(2,1,2)
 plot2d(x,z1(1,:),style=[5])
 xtitle(' ','x',' ')
  ]]></programlisting>
-
                 <scilab:image localized="true">
-
                     a=0;
-
                     b=1;
-
                     m=2;
-
                     n=1;
-
                     zeta=[a b];
-
                     N=101;
-
                     tol=1e-8*[1 1];
-
                     x=linspace(a,b,N);
-
-
-
                     function rhs=fsub(x,z)
-
                     rhs=-exp(z(1));
-
                     endfunction
-
-
-
                     function g=gsub(i,z)
-
                     g=[z(1) z(1)]
-
                     g=g(i)
-
                     endfunction
-
-
-
                     function [z,lhs]=ystart(x,z,M)
-
                     //z=[4*x*(1-x)*M ; 4*(1-2*x)*M]
-
                     z=[M;0]
-
                     //lhs=[-exp(4*x*(1-x)*M)]
-
                     lhs=0
-
                     endfunction
-
-
-
                     for M=[1 4]
-
                     if M==1
-
                     z=bvodeS(x,m,n,a,b,fsub,gsub,zeta,ystart=list(ystart,M),tol=tol,iprint=1);
-
                     else
-
                     z1=bvodeS(x,m,n,a,b,fsub,gsub,zeta,ystart=list(ystart,M),tol=tol,iprint=1);
-
                     end
-
                     end
-
-
-
                     // Integrating the ode yield e.g. the two solutions yex and yex1.
-
-
-
                     function y=f(c)
-
                     y=c.*(1-tanh(sqrt(c)/4).^2)-2;
-
                     endfunction
-
                     c=fsolve(2,f);
-
-
-
                     function y=yex(x,c)
-
                     y=log(c/2*(1-tanh(sqrt(c)*(1/4-x/2)).^2))
-
                     endfunction
-
-
-
                     function y=f1(c1), y=2*c1^2+tanh(1/4/c1)^2-1;endfunction
-
                     c1=fsolve(0.1,f1);
-
-
-
                     function y=yex1(x,c1)
-
                     y=log((1-tanh((2*x-1)/4/c1).^2)/2/c1/c1)
-
                     endfunction
-
-
-
                     subplot(2,1,1)
-
                     plot2d(x,z(1,:),style=[5])
-
                     xtitle('Two different solutions','x',' ')
-
                     subplot(2,1,2)
-
                     plot2d(x,z1(1,:),style=[5])
-
                     xtitle(' ','x',' ')
-
                 </scilab:image>
-
             </listitem>
-
             <listitem>
-
                 <para>
-
                     <emphasis role="bold">多点境界値問題.</emphasis>
-
                 </para>
-
                 <programlisting role="example"><![CDATA[
 // DE y'''(x)=1
 // z=[y(x);y'(x);y''(x)]
@@ -4528,34 +2440,22 @@ endfunction
 N=10;
 zeta=[a c b];
 x=linspace(a,b,N);
-
 z=bvodeS(x,m,n,a,b,fsub,gsub,zeta,fixpnt=c);
 
 function y=yex(x)
-y=x.^3/6+x.^2-x./6+1
+    y=x.^3/6+x.^2-x./6+1
 endfunction
-
 disp(norm(yex(x)-z(1,:)),'norm(yex(x)-z(1,:))= ')
  ]]></programlisting>
-
             </listitem>
-
             <listitem>
-
                 <para>
-
                     <emphasis role="bold">
-
                         2個の "固有値" (c_1 および c2)を有するQuantum Neumann方程式.
-
                         連続法を使用します.
-
                     </emphasis>
-
                 </para>
-
                 <programlisting role="example"><![CDATA[
-
 // Quantum Neumann equation, with 2 "eigenvalues" c_1 and c_2
 // (c_1=v-c_2-c_3, v is a parameter, used in continuation)
 //
@@ -4572,14 +2472,9 @@ disp(norm(yex(x)-z(1,:)),'norm(yex(x)-z(1,:))= ')
 // the differential equation at 1.0 and y, z_3=1, z_4=1/(2*y-1)
 // Ref: http://arxiv.org/pdf/hep-th/0407005
 
-
-
-
 y= 1.9d0;
 eigens=zeros(3,40); // To store the results
 
-
-
 // General setup for bvode
 
 // Number of differential equations
@@ -4624,33 +2519,33 @@ tol = [1d-5, 1d-5, 1d-5, 1d-5];
 // Define the differential equations
 
 function [f]=fsub(x,z)
-       f = [ -.5*(1/x+1/(x-1)+1/(x-y))*z(2) +...
+    f = [ -.5*(1/x+1/(x-1)+1/(x-y))*z(2) +...
      z(1) * ((v-z(3)-z(4))/x + z(3)/(x-1) + z(4)/(x-y)),...
-       0,0];
+    0,0];
 endfunction
 function [df] = dfsub(x,z)
-       df = [(v-z(3)-z(4))/x + z(3)/(x-1) + z(4)/(x-y),...
-       -.5*(1/x+1/(x-1)+1/(x-y)),z(1)/(x*(x-1)),z(1)*y/(x*(x-y));...
-       0,0,0,0;0,0,0,0];
+    df = [(v-z(3)-z(4))/x + z(3)/(x-1) + z(4)/(x-y),...
+    -.5*(1/x+1/(x-1)+1/(x-y)),z(1)/(x*(x-1)),z(1)*y/(x*(x-y));...
+    0,0,0,0;0,0,0,0];
 endfunction
 
 // Boundary conditions
 
 function [g]=gsub(i,z)
-       select i
-       case 1, g = z(2) - 2*z(1)*(v-z(3)-z(4))
-       case 2, g = z(2) - 2*z(1)*z(3)
-       case 3, g = z(1)-1.
-       case 4, g = z(2) - 2*z(1)*z(4)
-       end
+    select i
+    case 1, g = z(2) - 2*z(1)*(v-z(3)-z(4))
+    case 2, g = z(2) - 2*z(1)*z(3)
+    case 3, g = z(1)-1.
+    case 4, g = z(2) - 2*z(1)*z(4)
+    end
 endfunction
 function [dg]=dgsub(i,z)
-       select i
-       case 1, dg = [-2*(v-z(3)-z(4)),1.,2*z(1),2*z(1)]
-       case 2, dg = [-2*z(3),1.,-2*z(1),0]
-       case 3, dg = [1,0,0,0]
-       case 4, dg = [-2*z(4),1.,0,-2*z(1)]
-       end
+        select i
+        case 1, dg = [-2*(v-z(3)-z(4)),1.,2*z(1),2*z(1)]
+        case 2, dg = [-2*z(3),1.,-2*z(1),0]
+        case 3, dg = [1,0,0,0]
+        case 4, dg = [-2*z(4),1.,0,-2*z(1)]
+        end
 endfunction
 
 // Start computation
@@ -4672,8 +2567,8 @@ res = [linspace(0,.99,100) linspace(1,y,101)];
 // has mstar = 4 components, while dmval has ncomp = 3 components.
 
 function [z,dmval]=guess(x)
-        z=[2*x-1, 2., 1., 1/(2*y-1)]
-        dmval=[0,0,0]
+     z=[2*x-1, 2., 1., 1/(2*y-1)]
+     dmval=[0,0,0]
 endfunction
 
 // First execution has ipar(9)=1 and uses the guess
@@ -4688,7 +2583,6 @@ eigens(:,i)=[v;sol(3,101);sol(4,101)];  // c_2 and c_3 are constant!
 ipar(9)=3;
 end
 
-
 // To see the evolution of the eigenvalues with v, disp(eigens)
 // Note they evolve smoothly.
 // To see the solution f for v=40, disp(sol(1,:)). Note that it vanishes
@@ -4697,146 +2591,74 @@ end
 // This is markedly different from the case  at small v.
 // The continuation procedure allows to explore these exponential behaviours
 // without skipping to other eigenstates.
-
  ]]></programlisting>
-
             </listitem>
-
         </itemizedlist>
-
     </refsection>
-
     <refsection role="see also">
-
         <title>参照</title>
-
         <simplelist type="inline">
-
             <member>
-
                 <link linkend="link">link</link>
-
             </member>
-
             <member>
-
                 <link linkend="external">external</link>
-
             </member>
-
             <member>
-
                 <link linkend="ode">ode</link>
-
             </member>
-
             <member>
-
                 <link linkend="dassl">dassl</link>
-
             </member>
-
         </simplelist>
-
     </refsection>
-
     <refsection>
-
         <title>使用される関数</title>
-
         <para>この関数は, 以下の作者により開発された
-
             Fortran ルーチン<literal>colnew</literal>
-
             に基づいています.
-
         </para>
-
         <para>U. Ascher, Department of Computer Science, University of British
-
             Columbia, Vancouver, B.C. V6T 1W5, Canada
-
         </para>
-
         <para>G. Bader, institut f. Angewandte mathematik university of
-
             Heidelberg; im Neuenheimer feld 294d-6900 Heidelberg 1
-
         </para>
-
     </refsection>
-
     <refsection>
-
         <title>参考文献</title>
-
         <orderedlist>
-
             <listitem>
-
                 <para>U. Ascher, J. Christiansen and R.D. Russell, collocation
-
                     software for boundary-value ODEs, acm trans. math software 7 (1981),
-
                     209-222. this paper contains EXAMPLES where use of the code is
-
                     demonstrated.
-
                 </para>
-
             </listitem>
-
             <listitem>
-
                 <para>G. Bader and U. Ascher, a new basis implementation for a mixed
-
                     order boundary value ode solver, siam j. scient. stat. comput.
-
                     (1987).
-
                 </para>
-
             </listitem>
-
             <listitem>
-
                 <para>U. Ascher, J. Christiansen and R.D. Russell, a collocation
-
                     solver for mixed order systems of boundary value problems, math. comp.
-
                     33 (1979), 659-679.
-
                 </para>
-
             </listitem>
-
             <listitem>
-
                 <para>U. Ascher, J. Christiansen and R.D. russell, colsys - a
-
                     collocation code for boundary value problems, lecture notes comp.sc.
-
                     76, springer verlag, b. childs et. al. (eds.) (1979), 164-185.
-
                 </para>
-
             </listitem>
-
             <listitem>
-
                 <para>C. Deboor and R. Weiss, solveblok: a package for solving almost
-
                     block diagonal linear systems, acm trans. math. software 6 (1980),
-
                     80-87.
-
                 </para>
-
             </listitem>
-
         </orderedlist>
-
     </refsection>
-
-</refentry>
-
+</refentry>
\ No newline at end of file
index b533169..7e73f76 100644 (file)
@@ -1413,7 +1413,7 @@ function [dmval,zu]=fsub(x,parameters)
             коллокацией в гауссовских точках, требующих <literal>m(i)-1</literal> непрерывных
             производных в <literal>i</literal>-том элементе, <literal>i = 1:N</literal>. Здесь,
             <literal>k</literal> - количество точек коллокации (этапов) на подынтервале, и оно
-            выбирается так, чтобы <latex>k \ge \max\left(m(i)\right)</latex>.
+            выбирается так, чтобы <emphasis>k ≥ max(m(i))</emphasis>.
             Используется представление решения одночленного решения Рунге-Кутты.
         </para>
     </refsection>
@@ -1849,7 +1849,7 @@ zu=bvode(xpoints,N,m,x_low,x_up,zeta,ltol=ltol,tol=tol,guess=zstart)
             </listitem>
             <listitem>
                 <para>
-                    <emphasis role="bold">Задача 2</emphasis> описывает малую конечную деформацию тонкой мелкой сферической чаши постоянной толщины, подверженной квадратично меняющемуся асимметричному распределению внешнего давления. Здесь <latex>$\varphi$</latex> описывает изменение угла по меридиану деформированной стенки, а <latex>$\psi$</latex> является функцией напряжений. Для <latex>$\varepsilon=\mu=10^{-3}$</latex> можно найти два различных решения в зависимости от точки начала.
+                    <emphasis role="bold">Задача 2</emphasis> описывает малую конечную деформацию тонкой мелкой сферической чаши постоянной толщины, подверженной квадратично меняющемуся асимметричному распределению внешнего давления. Здесь <emphasis>φ</emphasis> описывает изменение угла по меридиану деформированной стенки, а <emphasis>ψ</emphasis> является функцией напряжений. Для <emphasis>ε = μ = 10<superscript>-3</superscript></emphasis> можно найти два различных решения в зависимости от точки начала.
                 </para>
                 <mediaobject>
                     <imageobject>
index 13fcbc5..a8b2249 100644 (file)
  * along with this program.
  *
  -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:id="ceil" xml:lang="en">
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink"
+          xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml"
+          xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook"
+          xmlns:scilab="http://www.scilab.org" xml:id="ceil" xml:lang="en">
     <refnamediv>
         <refname>ceil</refname>
         <refpurpose>round up</refpurpose>
index 54c8d58..4058e1c 100644 (file)
  * along with this program.
  *
  -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:id="floor" xml:lang="en">
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink"
+          xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml"
+          xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook"
+          xmlns:scilab="http://www.scilab.org" xml:id="floor" xml:lang="en">
     <refnamediv>
         <refname>floor</refname>
         <refpurpose>round down</refpurpose>
index c680d68..aa185e8 100644 (file)
  * along with this program.
  *
  -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:id="cross" xml:lang="en">
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink"
+          xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml"
+          xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook"
+          xmlns:scilab="http://www.scilab.org" xml:id="cross" xml:lang="en">
     <refnamediv>
         <refname>cross</refname>
         <refpurpose>vector cross product</refpurpose>
         <para>
             <function>cross</function> returns the cross product of <varname>A</varname> and <varname>B</varname>, that is:
             <para>
-                <latex>
-                    \begin{eqnarray}
-                    C = A \wedge B
-                    \end{eqnarray}
-                </latex>
+                <emphasis>C = A ∧ B</emphasis>
             </para>
         </para>
         <para>
index f6d1c88..4f55485 100644 (file)
  * along with this program.
  *
  -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org"  xml:id="csc" xml:lang="en">
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink"
+          xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml"
+          xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook"
+          xmlns:scilab="http://www.scilab.org"  xml:id="csc" xml:lang="en">
     <refnamediv>
         <refname>csc</refname>
         <refpurpose>сomputes the element-wise cosecant of the
@@ -46,8 +49,8 @@
     <refsection>
         <title>Description</title>
         <para>Computes the element-wise cosecant of the argument. The cosecant is
-            a periodic function defined as <latex>1/\sin(x)</latex>. For real data the results are real
-            and in <latex>]-\infty -1] \cup [1 \infty[</latex>.
+            a periodic function defined as <literal>1/sin(x)</literal>.
+            For real data the results are real and in <literal>]-∞ -1] ∪ [1 ∞[</literal>.
         </para>
     </refsection>
     <refsection>
index 6225af9..0a4c89b 100644 (file)
  * along with this program.
  *
  -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org"  xml:id="cscd" xml:lang="en">
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink"
+          xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml"
+          xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook"
+          xmlns:scilab="http://www.scilab.org"  xml:id="cscd" xml:lang="en">
     <refnamediv>
         <refname>cscd</refname>
         <refpurpose>сomputes the element-wise cosecant of the argument given in
@@ -45,8 +48,8 @@
         <title>Description</title>
         <para>
             The entries of <varname>y</varname> are the cosecant
-            <latex>1/\sin(x)</latex> of the entries of <varname>x</varname> given in
-            degree. The results are real and in <latex>]-\infty -1] \cup [1 \infty[</latex>.
+            <literal>1/sin(x)</literal> of the entries of <varname>x</varname> given in
+            degree. The results are real and in <literal>]-∞ -1] ∪ [1 ∞[</literal>.
             For entries equal to <literal>n*180</literal> with
             <literal>n</literal> integer, the result is infinite (or an error
             depending on <link linkend="ieee">ieee</link> mode). For entries equal to
index fac4a66..97ef4a7 100644 (file)
  * along with this program.
  *
  -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org"  xml:id="sec" xml:lang="en">
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink"
+          xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml"
+          xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook"
+          xmlns:scilab="http://www.scilab.org"  xml:id="sec" xml:lang="en">
     <refnamediv>
         <refname>sec</refname>
         <refpurpose>computes the element-wise secant of the argument</refpurpose>
@@ -43,8 +46,8 @@
         <title>Description</title>
         <para>
             The <function>sec</function> function computes the element-wise secant of the argument. The secant is a
-            periodic function defined as <latex>1/\cos(x)</latex>. For real data the results are real and
-            in <latex>]-\infty -1] \cup [1 \infty[</latex>.
+            periodic function defined as <literal>1/cos(x)</literal>. For real data the results are real and
+            in <literal>]-∞,-1] ∪ [1,∞[</literal>.
         </para>
     </refsection>
     <refsection>
@@ -77,7 +80,7 @@ plot(x,sec(x))
     <refsection>
         <title>Used Functions</title>
         <para>
-            This function uses the <latex>cos</latex> function.
+            This function uses the <literal>cos()</literal> function.
         </para>
     </refsection>
 </refentry>
index 5d5242f..cbe4764 100644 (file)
  * along with this program.
  *
  -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org"  xml:id="secd" xml:lang="en">
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink"
+          xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml"
+          xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook"
+          xmlns:scilab="http://www.scilab.org"  xml:id="secd" xml:lang="en">
     <refnamediv>
         <refname>secd</refname>
         <refpurpose>computes the element-wise secant of the argument given in
@@ -45,8 +48,8 @@
         <title>Description</title>
         <para>
             The entries of <varname>y</varname> are the secant
-            <latex>1/\cos(x)</latex> of the entries of <varname>x</varname> given in
-            degree. The results are real and in <latex>]-\infty -1] \cup [1 %infty[</latex>.
+            <literal>1/cos(x)</literal> of the entries of <varname>x</varname> given in
+            degree. The results are real and in <literal>]-∞, -1] ∪ [1, ∞[</literal>.
             For entries equal to <literal>n*180</literal> with
             <literal>n</literal> integer, the result is exactly <literal>-1</literal>
             or <literal>+1</literal>. For entries equal to <literal>n*90</literal>with
index 0e99d70..e2e0aad 100644 (file)
@@ -2,7 +2,10 @@
 <!--
  * Ajouter ici d'éventuels commentaires sur le fichier XML
 -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org"  xml:id="sech" xml:lang="en">
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink"
+          xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml"
+          xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook"
+          xmlns:scilab="http://www.scilab.org"  xml:id="sech" xml:lang="en">
     <refnamediv>
         <refname>sech</refname>
         <refpurpose>computes the element-wise hyperbolic secant of the
     </refsection>
     <refsection>
         <title>Description</title>
-        <para>Compute the element-wise hyperbolic secant of the argument. The
-            hyperbolic secant is defined as <latex>1/\cosh(x)</latex>. For real data the results are real
-            and in <literal> [0 1]</literal>.
+        <para>
+          Compute the element-wise hyperbolic secant of the argument. The hyperbolic secant
+          is defined as <literal>1/cosh(x)</literal>. For real data the results are real
+          and in <literal>[0, 1]</literal>.
         </para>
     </refsection>
     <refsection>
index cb4a58a..aebc96d 100644 (file)
@@ -1,5 +1,8 @@
 <?xml version="1.0" encoding="UTF-8"?>
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:id="floor" xml:lang="fr">
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink"
+          xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml"
+          xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook"
+          xmlns:scilab="http://www.scilab.org" xml:id="floor" xml:lang="fr">
     <refnamediv>
         <refname>floor</refname>
         <refpurpose>Arrondi vers le bas</refpurpose>
index 61d9c74..d895b87 100644 (file)
  * along with this program.
  *
  -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:id="csc" xml:lang="fr">
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink"
+          xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml"
+          xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook"
+          xmlns:scilab="http://www.scilab.org" xml:id="csc" xml:lang="fr">
     <refnamediv>
         <refname>csc</refname>
         <refpurpose>cosécante des éléments de l'argument.</refpurpose>
@@ -47,7 +50,7 @@
             Les éléments de <literal>y</literal> sont les cosécantes
             (<literal>1/sin</literal>) des éléments correspondants de
             <literal>x</literal>. Pour les éléments réels, les résultats sont réels et
-            dans <literal>]-%inf -1] U [1 %inf[</literal>.
+            dans <literal>]-∞ -1] ∪ [1 ∞[</literal>.
         </para>
     </refsection>
     <refsection>
index 820ea9f..dbe278b 100644 (file)
  * along with this program.
  *
  -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:id="cscd" xml:lang="fr">
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink"
+          xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml"
+          xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook"
+          xmlns:scilab="http://www.scilab.org" xml:id="cscd" xml:lang="fr">
     <refnamediv>
         <refname>cscd</refname>
         <refpurpose>cosécante des éléments de l'argument donnés en
             Les éléments de <literal>y</literal> sont les cosécantes
             (<literal>1/sin</literal>) des éléments correspondants de
             <literal>x</literal> supposés donnés en degré. Les résultats sont réels et
-            dans <literal>]-%inf -1] U [1 %inf[</literal>. Pour les éléments qui sont
+            dans <literal>]-∞ -1] ∪ [1 ∞[</literal>. Pour les éléments qui sont
             égaux à <literal>n*180</literal> ou <literal>n</literal> est entier, le
-            résultat est infini (ou une erreur selon le mode <link linkend="ieee">ieee</link> ). Pour les éléments qui sont égaux à
+            résultat est infini (ou une erreur selon le mode <link linkend="ieee">ieee</link> ).
+            Pour les éléments qui sont égaux à
             <literal>n*90</literal> ou <literal>n</literal> est entieret impair, le
             résultat est exactement 1 ou -1.
         </para>
index 3bf2fb5..9fb077b 100644 (file)
  * along with this program.
  *
  -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:id="sec" xml:lang="fr">
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink"
+          xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml"
+          xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook"
+          xmlns:scilab="http://www.scilab.org" xml:id="sec" xml:lang="fr">
     <refnamediv>
         <refname>sec</refname>
         <refpurpose>sécante des éléments de l'argument.</refpurpose>
@@ -47,7 +50,7 @@
             Les éléments de <literal>y</literal> sont les sécantes
             (<literal>1/cos</literal>) des éléments correspondants de
             <literal>x</literal>. Pour les éléments réels, les résultats sont réels et
-            dans <literal>]-%inf -1] U [1 %inf[</literal>.
+            dans <literal>]-∞,-1] ∪ [1,∞[</literal>.
         </para>
     </refsection>
     <refsection>
index 2b626d2..bcc955c 100644 (file)
  * along with this program.
  *
  -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:id="secd" xml:lang="fr">
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink"
+          xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml"
+          xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook"
+          xmlns:scilab="http://www.scilab.org" xml:id="secd" xml:lang="fr">
     <refnamediv>
         <refname>secd</refname>
         <refpurpose>sécante des éléments de l'argument donnés en
@@ -49,7 +52,7 @@
             Les éléments de <literal>y</literal> sont les sécantes
             (<literal>1/cos</literal>) des éléments correspondants de
             <literal>x</literal> supposés donnés en degré. Les résultats sont réels et
-            dans <literal>]-%inf -1] U [1 %inf[</literal>. Pour les éléments qui sont
+            dans <literal>]-∞, -1] ∪ [1, ∞[</literal>. Pour les éléments qui sont
             égaux à <literal>n*180</literal> où <literal>n</literal> est entier, le
             résultat est exactement <literal>+1</literal> ou <literal>-1</literal>.
             Pour les éléments qui sont égaux à <literal>n*90</literal> où
index edf5b6b..1b79bfe 100644 (file)
  * along with this program.
  *
  -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:id="sech" xml:lang="fr">
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink"
+          xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml"
+          xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook"
+          xmlns:scilab="http://www.scilab.org" xml:id="sech" xml:lang="fr">
     <refnamediv>
         <refname>sech</refname>
         <refpurpose>sécante hyperbolique des éléments de l'argument.</refpurpose>
@@ -45,7 +48,7 @@
         <title>Description</title>
         <para>
             Les éléments de <literal>y</literal> sont les sécantes hyperboliques
-            (<literal>1/cosh</literal>) des éléments correspondants de
+            (<literal>1/cosh(x)</literal>) des éléments correspondants de
             <literal>x</literal>. Pour les éléments réels, les résultats sont réels et
             dans <literal> [0 1]</literal>.
         </para>
index df87f0b..c38788e 100644 (file)
@@ -1,5 +1,4 @@
 <?xml version="1.0" encoding="UTF-8"?>
-
 <!--
  * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
  * Copyright (C) 2008 - INRIA
  * along with this program.
  *
  -->
-
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:id="floor" xml:lang="ja">
-
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink"
+          xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml"
+          xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook"
+          xmlns:scilab="http://www.scilab.org" xml:id="floor" xml:lang="ja">
     <refnamediv>
-
         <refname>floor</refname>
-
         <refpurpose>下方向への丸め</refpurpose>
-
     </refnamediv>
-
     <refsynopsisdiv>
-
         <title>呼び出し手順</title>
-
         <synopsis>[y]=floor(x)</synopsis>
-
     </refsynopsisdiv>
-
     <refsection>
-
         <title>引数</title>
-
         <variablelist>
-
             <varlistentry>
-
                 <term>x</term>
-
                 <listitem>
-
                     <para>実数または複素数の行列</para>
-
                 </listitem>
-
             </varlistentry>
-
             <varlistentry>
-
                 <term>y</term>
-
                 <listitem>
-
                     <para>整数の行列(整数の実部と虚部を有する複素数行列)</para>
-
                 </listitem>
-
             </varlistentry>
-
         </variablelist>
-
     </refsection>
-
     <refsection>
-
         <title>説明</title>
-
         <para>
-
             <literal>floor(x)</literal> は,
-
             最も近い整数へ下方向の丸めた整数からなる整数行列を返します.
-
         </para>
-
     </refsection>
-
     <refsection>
-
         <title>例</title>
-
         <programlisting role="example"><![CDATA[
 floor([1.3 1.5 1.7 2.5 3.7])
 // 負のxに関する結果に注意
 floor([-1.3 -1.5 -1.7 -2.5 -3.7])
 floor([2.2+%i*23, %pi*%i, -%i ])
  ]]></programlisting>
-
     </refsection>
-
     <refsection role="see also">
-
         <title>参照</title>
-
         <simplelist type="inline">
-
             <member>
-
                 <link linkend="round">round</link>
-
             </member>
-
             <member>
-
                 <link linkend="fix">fix</link>
-
             </member>
-
             <member>
-
                 <link linkend="ceil">ceil</link>
-
             </member>
-
         </simplelist>
-
     </refsection>
-
-</refentry>
-
+</refentry>
\ No newline at end of file
index 53a08d8..f5bcb0c 100644 (file)
             <function>cross</function> は以下のような
             <varname>A</varname> 及び <varname>B</varname>の外積を返します:
             <para>
-                <latex>
-                    \begin{eqnarray}
-                    C = A \wedge B
-                    \end{eqnarray}
-                </latex>
+                <emphasis>C = A ∧ B</emphasis>
             </para>
         </para>
         <para>
index 0f13cdc..174e4c4 100644 (file)
@@ -34,9 +34,9 @@
         <title>説明</title>
         <para>
             引数の要素毎のコセカント(余割)を計算します.
-            コセカント(余割)は <latex>1/\sin(x)</latex>で定義される周期関数です.
+            コセカント(余割)は <literal>1/sin(x)</literal>で定義される周期関数です.
             実数のデータの場合,結果は
-            <latex>]-\infty -1] \cup [1 \infty[</latex>の範囲の実数となります.
+            <literal>]-∞ -1] ∪ [1 ∞[</literal>の範囲の実数となります.
         </para>
     </refsection>
     <refsection>
index 36eff82..6e6aa94 100644 (file)
 <?xml version="1.0" encoding="UTF-8"?>
-
 <!--
  * Ajouter ici d'éventuels commentaires sur le fichier XML
 -->
-
 <refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:id="cscd" xml:lang="ja">
-
     <refnamediv>
-
         <refname>cscd</refname>
-
         <refpurpose>
-
             度単位で指定した引数のコセカント(余割)を要素毎に計算する
-
         </refpurpose>
-
     </refnamediv>
-
     <refsynopsisdiv>
-
         <title>呼出し手順</title>
-
         <synopsis>x = cscd(x)</synopsis>
-
     </refsynopsisdiv>
-
     <refsection>
-
         <title>引数</title>
-
         <variablelist>
-
             <varlistentry>
-
                 <term>x</term>
-
                 <listitem>
-
                     <para>実数または複素数の配列.</para>
-
                 </listitem>
-
             </varlistentry>
-
             <varlistentry>
-
                 <term>x</term>
-
                 <listitem>
-
                     <para>実数または複素数の配列.</para>
-
                 </listitem>
-
             </varlistentry>
-
         </variablelist>
-
     </refsection>
-
     <refsection>
-
         <title>説明</title>
-
         <para>
-
             <varname>y</varname>のエントリは,度単位で指定した
-
-            <varname>x</varname>のエントリのコセカント<latex>1/\sin(x)</latex>
-
+            <varname>x</varname>のエントリのコセカント<literal>1/sin(x)</literal>
             となります.
-
             結果は
-
-            <latex>]-\infty -1] \cup [1 \infty[</latex>の範囲の実数となります.
-
+            <literal>]-∞ -1] ∪ [1 ∞[</literal>の範囲の実数となります.
             <literal>n</literal>を整数として<literal>n*180</literal>
-
             に等しいエントリの場合,結果は無限大
-
             (<link linkend="ieee">ieee</link> モードによってはエラーとなります)
-
             となります.
-
             <literal>n</literal>を整数かつ奇数として<literal>n*90</literal>
-
             に等しいエントリの場合,結果は厳密に<literal>1</literal>
-
             または<literal>-1</literal>となります.
-
         </para>
-
     </refsection>
-
     <refsection>
-
         <title>例</title>
-
         <programlisting role="example"><![CDATA[
 csc(%pi/4)
 cscd(90)
  ]]></programlisting>
-
     </refsection>
-
     <refsection role="see also">
-
         <title>参照</title>
-
         <simplelist type="inline">
-
             <member>
-
                 <link linkend="secd">secd</link>
-
             </member>
-
             <member>
-
                 <link linkend="csc">csc</link>
-
             </member>
-
             <member>
-
                 <link linkend="sind">sind</link>
-
             </member>
-
         </simplelist>
-
     </refsection>
-
-</refentry>
-
+</refentry>
\ No newline at end of file
index c4e0e77..48f4a95 100644 (file)
@@ -2,7 +2,10 @@
 <!--
  * Ajouter ici d'éventuels commentaires sur le fichier XML
 -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org"  xml:id="sec" xml:lang="ja">
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink"
+          xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml"
+          xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook"
+          xmlns:scilab="http://www.scilab.org"  xml:id="sec" xml:lang="ja">
     <refnamediv>
         <refname>sec</refname>
         <refpurpose>引数の割線を要素毎に計算する.</refpurpose>
@@ -33,9 +36,9 @@
         <para>
             <function>sec</function>関数は,
             引数の割線(セカント)を要素毎に計算します.
-            割線は,<latex>1/\cos(x)</latex>で定義される
+            割線は,<literal>1/cos(x)</literal>で定義される
             周期関数です.実数のデータの場合,結果は実数で
-            <latex>]-\infty -1] \cup [1 \infty[</latex>の範囲となります.
+            <literal>]-∞,-1] ∪ [1,∞[</literal>の範囲となります.
         </para>
     </refsection>
     <refsection>
index 7b61ca0..0647259 100644 (file)
@@ -4,7 +4,10 @@
  * Ajouter ici d'éventuels commentaires sur le fichier XML
 -->
 
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:id="secd" xml:lang="ja">
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink"
+          xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml"
+          xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook"
+          xmlns:scilab="http://www.scilab.org" xml:id="secd" xml:lang="ja">
 
     <refnamediv>
 
 
             <varname>x</varname>のエントリの割線(セカント)
 
-            <latex>1/\cos(x)</latex>となります.
+            <literal>1/cos(x)</literal>となります.
 
             結果は実数,範囲は
 
-            <latex>]-\infty -1] \cup [1 %infty[</latex>となります.
+            <literal>]-∞, -1] ∪ [1, ∞[</literal>となります.
 
             エントリが<literal>n*180</literal>に等しい場合
 
index 2ea45a0..e8edbfd 100644 (file)
@@ -4,7 +4,10 @@
  * Ajouter ici d'éventuels commentaires sur le fichier XML
 -->
 
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org"  xml:id="sech" xml:lang="ja">
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink"
+          xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml"
+          xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook"
+          xmlns:scilab="http://www.scilab.org"  xml:id="sech" xml:lang="ja">
 
     <refnamediv>
 
 
         <para>
 
-            引数の双曲線割線を要素毎に計算します. 双曲線割線は 1/cos で定義されます.
+            引数の双曲線割線を要素毎に計算します. 双曲線割線は 1/cos(x) で定義されます.
 
             実数のデータの場合,結果は実数で
 
-            <literal> [0 1]</literal>の範囲となります.
+            <literal>[0 1]</literal>の範囲となります.
 
         </para>
 
index 795bf07..add7d09 100644 (file)
  * along with this program.
  *
  -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:id="floor" xml:lang="pt">
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink"
+          xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml"
+          xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook"
+          xmlns:scilab="http://www.scilab.org" xml:id="floor" xml:lang="pt">
     <refnamediv>
         <refname>floor</refname>
         <refpurpose>arredondamento para o inteiro menor ou igual ao
index e54bc2e..c652375 100644 (file)
@@ -2,7 +2,10 @@
 <!--
  * Ajouter ici d'éventuels commentaires sur le fichier XML
 -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns4="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:id="sec" xml:lang="pt">
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink"
+          xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns4="http://www.w3.org/1999/xhtml"
+          xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook"
+          xmlns:scilab="http://www.scilab.org" xml:id="sec" xml:lang="pt">
     <refnamediv>
         <refname>sec</refname>
         <refpurpose>computa a secante elemento a elemento do
@@ -34,7 +37,7 @@
         <title>Descrição</title>
         <para>Computa a secante elemento a elemento do argumento. A secante é uma
             função periódica definida como 1/cos. Para dados reais, os resultados são
-            reais em <literal>]-%inf -1] U [1 %inf[</literal>.
+            reais em <literal>]-∞,-1] ∪ [1,∞[</literal>.
         </para>
     </refsection>
     <refsection>
index 94ce8d6..197c85d 100644 (file)
@@ -2,7 +2,10 @@
 <!--
  * Ajouter ici d'éventuels commentaires sur le fichier XML
 -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns3="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:id="secd" xml:lang="pt">
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink"
+          xmlns:svg="http://www.w3