WorkingPrecision (Built-in Mathematica Symbol)

WorkingPrecision is an option for various numerical operations that specifies how many digits of precision should be maintained in internal computations.

ArcCos (Built-in Mathematica Symbol)

ArcCos[z] gives the arc cosine cos -1 (z) of the complex number z.

DirichletCharacter (Built-in Mathematica Symbol)

DirichletCharacter[k, j, n] gives the Dirichlet character \[Chi] {k, j} (n) with modulus k and index j.

Benchmarking Package (Benchmarking Package Tutorial)

This package contains functions for measuring the performance of Mathematica on your computer and for producing a comparison report that includes benchmark results for other ...

FactorialPower (Built-in Mathematica Symbol)

FactorialPower[x, n] gives the factorial power x (n). FactorialPower[x, n, h] gives the step-h factorial power x (n, h).

FourierSinSeries (Built-in Mathematica Symbol)

FourierSinSeries[expr, t, n] gives the n\[Null]^th-order Fourier sine series expansion of expr in t.FourierSinSeries[expr, {t_1, t_2, ...}, {n_1, n_2, ...}] gives the ...

ImageHistogram (Built-in Mathematica Symbol)

ImageHistogram[image] plots a histogram of the pixel levels for each channel in image.ImageHistogram[image, n] uses n levels for each channel.ImageHistogram[image, n, {min, ...

Thread (Built-in Mathematica Symbol)

Thread[f[args]] "threads" f over any lists that appear in args. Thread[f[args], h] threads f over any objects with head h that appear in args. Thread[f[args], h, n] threads f ...

Linear and Quasi-Linear PDEs (Mathematica Tutorial)

First-order PDEs are usually classified as linear, quasi-linear, or nonlinear. The first two types are discussed in this tutorial. A first-order PDE for an unknown function ...

Nonlinear IVPs and BVPs (Mathematica Tutorial)

Many real-world applications require the solution of IVPs and BVPs for nonlinear ODEs. For example, consider the logistic equation, which occurs in population dynamics. This ...