When you manipulate power series, it is sometimes convenient to think of the series as representing functions, which you can, for example, compose or invert. Composition and ...

The general solution to this equation is found by separation of variables. Even when variables can be separated, the final solution might be accompanied by a warning message ...

Numerical root finding. NSolve gives you numerical approximations to all the roots of a polynomial equation. You can also use NSolve to solve sets of simultaneous equations ...

Select the next-higher subexpression by pressing Ctrl+.. Press Ctrl+. repeatedly. Get rid of the contents of an expression and destructure it by pressing Del (or Backspace).

All the test problems presented in [MGH81] have been coded into Mathematica in the Optimization`UnconstrainedProblems` package. A data structure is used so that the problems ...

ElementData["name", " property"] gives the value of the specified property for the chemical element " name".ElementData[n, " property"] gives the specified property for the ...

FourierCosTransform[expr, t, \[Omega]] gives the symbolic Fourier cosine transform of expr. FourierCosTransform[expr, {t_1, t_2, ...}, {\[Omega]_1, \[Omega]_2, ...}] gives ...

FourierSinTransform[expr, t, \[Omega]] gives the symbolic Fourier sine transform of expr. FourierSinTransform[expr, {t_1, t_2, ...}, {\[Omega]_1, \[Omega]_2, ...}] gives the ...

Permutations[list] generates a list of all possible permutations of the elements in list. Permutations[list, n] gives all permutations containing at most n ...

ColorData["scheme"] gives a function that generates colors in the named color scheme when applied to parameter values. ColorData["scheme", " property"] gives the specified ...