If (Built-in Mathematica Symbol)

If[condition, t, f] gives t if condition evaluates to True, and f if it evaluates to False. If[condition, t, f, u] gives u if condition evaluates to neither True nor False.

Integer Sequences (Mathematica Guide)

The symbolic character of Mathematica makes possible a uniquely coherent approach to integer sequences, integrating functional forms, equations, generating functions, and ...

Subfactorial (Built-in Mathematica Symbol)

Subfactorial[n] gives the number of permutations of n objects that leave no object fixed.

HypergeometricPFQ (Built-in Mathematica Symbol)

HypergeometricPFQ[{a_1, ..., a_p}, {b_1, ..., b_q}, z] is the generalized hypergeometric function \[Null]_p F_q (a; b; z).

FourierCosCoefficient (Built-in Mathematica Symbol)

FourierCosCoefficient[expr, t, n] gives the n\[Null]^th coefficient in the Fourier cosine series expansion of expr.FourierCosCoefficient[expr, {t_1, t_2, ...}, {n_1, n_2, ...

FourierSinCoefficient (Built-in Mathematica Symbol)

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

StreamDensityPlot (Built-in Mathematica Symbol)

StreamDensityPlot[{{v_x, v_y}, s}, {x, x_min, x_max}, {y, y_min, y_max}] generates a stream plot of the vector field {v_x, v_y} as a function of x and y, superimposed on a ...

BSplineFunction (Built-in Mathematica Symbol)

BSplineFunction[{pt_1, pt_2, ...}] represents a B-spline function for a curve defined by the control points pt_i.BSplineFunction[array] represents a B-spline function for a ...

PDF (Built-in Mathematica Symbol)

PDF[dist, x] gives the probability density function for the symbolic distribution dist evaluated at x.PDF[dist, {x_1, x_2, ...}] gives the multivariate probability density ...

WignerD (Built-in Mathematica Symbol)

WignerD[{j, m_1, m_2}, \[Psi], \[Theta], \[Phi]] gives the Wigner D-function D_m_1^m_2, j(\[Psi], \[Theta], \[Phi]).WignerD[{j, m_1, m_2}, \[Theta], \[Phi]] gives the Wigner ...