TransformationFunction[data] represents a transformation function that applies geometric and other transformations.

WaveletImagePlot[dwd] plots the basis tree of wavelet image coefficients in the DiscreteWaveletData dwd.WaveletImagePlot[dwd, r] plots coefficients up to refinement level ...

Dt[f, x] gives the total derivative d f/d x. Dt[f] gives the total differential d f. Dt[f, {x, n}] gives the multiple derivative d^n f/d x^n. Dt[f, x_1, x_2, ...] gives d/d ...

[AP91] Ascher, U. and L. Petzold. "Projected Implicit Runge–Kutta Methods for Differential Algebraic Equations." SIAM J. Numer. Anal. 28 (1991): 1097–1120. [AP98] Ascher, U. ...

NumberOfCompositions[n, k] counts the number of distinct compositions of integer n into k parts.

ParallelSubmit[expr] submits expr for evaluation on the next available parallel kernel and returns an EvaluationObject expression representing the submitted ...

TranslationTransform[v] gives a TransformationFunction that represents translation of points by a vector v.

For many kinds of practical calculations, the only operations you will need to perform on polynomials are essentially structural ones. If you do more advanced algebra with ...

ComplexExpand[expr] expands expr assuming that all variables are real. ComplexExpand[expr, {x_1, x_2, ...}] expands expr assuming that variables matching any of the x_i are ...

Every new version of Mathematica contains many new features. But careful design from the outset has allowed nearly total compatibility to be maintained between all versions. ...