NestWhile[f, expr, test] starts with expr, then repeatedly applies f until applying test to the result no longer yields True. NestWhile[f, expr, test, m] supplies the most ...

Mathematica encapsulates in a small number of functions vast flexibility in rearranging lists with any structure and any number of elements.

A delay differential equation is a differential equation where the time derivatives at the current time depend on the solution and possibly its derivatives at previous times: ...

This section is designed to discuss how to make compiled functions run efficiently. It will cover features that make them run faster, as well as problems that can make them ...

GroebnerBasis[{poly_1, poly_2, ...}, {x_1, x_2, ...}] gives a list of polynomials that form a Gröbner basis for the set of polynomials poly_i. GroebnerBasis[{poly_1, poly_2, ...

RegionPlot[pred, {x, x_min, x_max}, {y, y_min, y_max}] makes a plot showing the region in which pred is True.

VarianceTest[data] tests whether the variance of the data is one. VarianceTest[{data_1, data_2}] tests whether the variances of data_1 and data_2 are ...

VectorPlot[{v_x, v_y}, {x, x_min, x_max}, {y, y_min, y_max}] generates a vector plot of the vector field {v_x, v_y} as a function of x and y. VectorPlot[{{v_x, v_y}, {w_x, ...

Numerical algorithms for constrained nonlinear optimization can be broadly categorized into gradient-based methods and direct search methods. Gradient search methods use ...

This loads packages containing some test problems and utility functions. One of the first and simplest methods for solving initial value problems was proposed by Euler: ...