One-dimensional Laplace transforms. The Laplace transform of a function f(t) is given by ∫_0^∞f(t)e^-stt. The inverse Laplace transform of F(s) is given for suitable γ by ( ...

Mathematica has many matrix operations that support operations such as building, computing, and visualizing matrices. It also has a rich language for picking out parts of ...

StringInsert["string", " snew", n] yields a string with " snew" inserted starting at position n in " string". StringInsert["string", " snew", -n] inserts at position n from ...

CUDABoxFilter[img, r] gives the box filter of img with radius r.CUDABoxFilter[list, r] gives the box filter of list with radius r.CUDABoxFilter[mem, r] gives the box filter ...

x^y gives x to the power y.

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

Complicated algebraic expressions can usually be written in many different ways. Mathematica provides a variety of functions for converting expressions from one form to ...

ArgMin[f, x] gives a position x_min at which f is minimized.ArgMin[f, {x, y, ...}] gives a position {x_min, y_min, ...} at which f is minimized.ArgMin[{f, cons}, {x, y, ...}] ...

Mathematica has powerful capabilities for explicit signal processing with large volumes of data, imported and exported in many formats, and for symbolic analysis of signal ...

ArcSin[z] gives the arc sine sin -1 (z) of the complex number z.