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 ...

QPochhammer (Built-in Mathematica Symbol)

QPochhammer[a, q, n] gives the q-Pochhammer symbol (a; q) n.QPochhammer[a, q] gives the q-Pochhammer symbol (a; q) \[Infinity].QPochhammer[q] gives the q-Pochhammer symbol ...

RevolutionPlot3D (Built-in Mathematica Symbol)

RevolutionPlot3D[f_z, {t, t_min, t_max}] generates a plot of the surface of revolution with height f_z at radius t.RevolutionPlot3D[f_z, {t, t_min, t_max}, {\[Theta], ...

ShearingMatrix (Built-in Mathematica Symbol)

ShearingMatrix[\[Theta], v, n] gives the matrix corresponding to shearing by \[Theta] radians along the direction of the vector v, and normal to the vector n.

TransferFunctionCancel (Built-in Mathematica Symbol)

TransferFunctionCancel[tf] cancels common poles and zeros in the TransferFunctionModel object tf.TransferFunctionCancel[tf, crit] cancels only common pole-zero pairs e_i for ...

UnitStep (Built-in Mathematica Symbol)

UnitStep[x] represents the unit step function, equal to 0 for x < 0 and 1 for x >= 0. UnitStep[x_1, x_2, ...] represents the multidimensional unit step function which is 1 ...

WalleniusHypergeometricDistribution (Built-in Mathematica Symbol)

WalleniusHypergeometricDistribution[n, n_succ, n_tot, w] represents a Wallenius noncentral hypergeometric distribution.

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 ...

Discrete Fourier Transforms (Mathematica Tutorial)

A common operation in analyzing various kinds of data is to find the discrete Fourier transform (or spectrum) of a list of values. The idea is typically to pick out ...

InverseGammaDistribution (Built-in Mathematica Symbol)

InverseGammaDistribution[\[Alpha], \[Beta]] represents an inverse gamma distribution with shape parameter \[Alpha] and scale parameter ...