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 ...

Ways to label two-dimensional plots. Here is a plot, using the default Axes->True. Setting Frame->True generates a frame with axes, and removes tick marks from the ordinary ...

A differential system can sometimes be solved by analytic means. The function DSolve implements many of the known algorithmic techniques. However, differential systems that ...

NullSpace[m] gives a list of vectors that forms a basis for the null space of the matrix m.

In Mathematica, dialog boxes are customized notebooks used to provide users with information and/or request user input. There are two properties associated with dialogs. ...

[AB04] Abell, M. L. and J. P. Braselton. Differential Equations with Mathematica. (3rd ed.) Elsevier Academic Press, 2004. [A89] Abramov, S. A. "Rational Solutions of Linear ...

Introduction Getting Started Configuring and Monitoring

Here is a system of two ODEs whose coefficient matrix has real and distinct eigenvalues. This solves the system. Note that the general solution depends on two arbitrary ...

Permutations are basic elements in algebra. They have a natural non-commutative product (as matrices do as well), and hence can encode highly nontrivial structures in a ...

There are many variants of quasi-Newton methods. In all of them, the idea is to base the matrix B_k in the quadratic model on an approximation of the Hessian matrix built up ...