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 ...

FractionalPart (Built-in Mathematica Symbol)

FractionalPart[x] gives the fractional part of x.

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, ...

Rationalize (Built-in Mathematica Symbol)

Rationalize[x] converts an approximate number x to a nearby rational with small denominator. Rationalize[x, dx] yields the rational number with smallest denominator that lies ...

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 ...

BezierCurve (Built-in Mathematica Symbol)

BezierCurve[{pt_1, pt_2, ...}] is a graphics primitive that represents a Bézier curve with control points pt_i.

Zeta (Built-in Mathematica Symbol)

Zeta[s] gives the Riemann zeta function \[Zeta](s). Zeta[s, a] gives the generalized Riemann zeta function \[Zeta](s, a).