// PURPOSE
// First and second order numerical derivatives of a function F: R^n --> R^m
// by finite differences.
-// J=J(x) is the m x n Jacobian (the gradient for m=1), and H=H(x) the Hessean
+// J=J(x) is the m x n Jacobian (the gradient for m=1), and H=H(x) the Hessian
// of the m components of F at x. The default form of H is a mxn^2 matrix;
// in this form the Taylor series of F up to second order terms is given by:
//
// 2/ This function uses the 3 "internal" functions (following
// this one in this file) :
//
-// %DF_ => used to compute the Hessean by "differentiating
+// %DF_ => used to compute the Hessian by "differentiating
// the derivative"
// %deriv1_ => contains the various finite difference formulae
// %R_ => to deal with F as this arg may be a scilab