XGitUrl: http://gitweb.scilab.org/?p=scilab.git;a=blobdiff_plain;f=scilab%2Fmodules%2Felementary_functions%2Fhelp%2Fen_US%2Ftrigonometry%2Fatanh.xml;h=60dce6fe1fe7e8e3a5f4f36eefcfb212d08ab613;hp=b5f40b40ddc0e0bb7d75d97cb87b97358e43ca59;hb=807fe176da3bcb88ce29ad8401cd97aa22cc1c1f;hpb=025bb6738d47ccbd9093b90bc22b9710c41227c0
diff git a/scilab/modules/elementary_functions/help/en_US/trigonometry/atanh.xml b/scilab/modules/elementary_functions/help/en_US/trigonometry/atanh.xml
index b5f40b4..60dce6f 100644
 a/scilab/modules/elementary_functions/help/en_US/trigonometry/atanh.xml
+++ b/scilab/modules/elementary_functions/help/en_US/trigonometry/atanh.xml
@@ 13,7 +13,10 @@
* along with this program.
*
>

+
atanh
hyperbolic tangent inverse
@@ 55,20 +58,26 @@
evaluate an elementary mathematical function outside its definition domain
in the real case, then the complex extension is used (with a complex
result). The most famous example being the sqrt function (try
 sqrt(1)
!). This approach have some drawbacks when you
 evaluate the function at a singular point which may led to different
 results when the point is considered as real or complex. For the
 atanh this occurs for 1 and
 1 because the at these points the imaginary part do not
+ sqrt(1)
!).
+
+
+ This approach has some drawbacks when you
+ evaluate the function at a singular point which may lead to different
+ results when the point is considered as real or complex.
+
+
+ For atanh(), this occurs for 1 and
+ 1, because at these points the imaginary part does not
converge and so atanh(1) = +Inf + i NaN while
 atanh(1) = +Inf for the real case (as lim x>1 of
 atanh(x)
). So when you evaluate this function on the vector [1 2]
+ atanh(1) = +Inf for the real case (as lim x>1
+ of atanh(x)
).
+
+
+ So when you evaluate this function on the vector [1 2]
then like 2 is outside the definition
domain, the complex extension is used for all the vector and you get
 atanh(1) = +Inf + i NaN while you get atanh(1)
 = +Inf

 with [1 0.5] for instance.
+ atanh(1) = +Inf + i NaN while you get
+ atanh(1) = +Inf with [1, 0.5] for instance.