When derivatives cannot be computed symbolically, "Newton's" method will be used, but with a finite difference approximation to the Jacobian. This can have costs in terms of ...

The functions FindMinimum, FindMaximum, and FindRoot have the HoldAll attribute and so have special semantics for evaluation of their arguments. First, the variables are ...

TransferFunctionModel[m, var] represents the model of the transfer-function matrix m with complex variable var.TransferFunctionModel[{num, den}, var] specifies the numerator ...

Images are an important standard data structure, tightly integrated with the Mathematica front end and kernel. Image objects are created by default when you import any file ...

Drop[list, n] gives list with its first n elements dropped. Drop[list, -n] gives list with its last n elements dropped. Drop[list, {n}] gives list with its n\[Null]^th ...

EigenvectorCentrality[g] gives a list of eigenvector centralities for the vertices in the graph g.EigenvectorCentrality[g, "In"] gives a list of in-centralities for a ...

MapAt[f, expr, n] applies f to the element at position n in expr. If n is negative, the position is counted from the end. MapAt[f, expr, {i, j, ...}] applies f to the part of ...

MorphologicalTransform[image, f] applies the function f to the 3*3 neighborhood of each pixel in a binary image image.MorphologicalTransform[image, rule] applies a ...

TransferFunctionPoles[tf] gives a matrix of roots of the denominators in the TransferFunctionModel object tf.

If you have an equation like 2x==0, it is perfectly clear that the only possible solution is x->0. However, if you have an equation like ax==0, things are not so clear. If a ...