Permutations (Mathematica Tutorial)

Permutations are basic elements in algebra. They have a natural non-commutative product (as matrices do as well), and hence can encode highly nontrivial structures in a ...

ArcCos (Built-in Mathematica Symbol)

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

ArcSin (Built-in Mathematica Symbol)

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

ArrayFlatten (Built-in Mathematica Symbol)

ArrayFlatten[{{m_11, m_12, ...}, {m_21, m_22, ...}, ...}] creates a single flattened matrix from a matrix of matrices m i j. ArrayFlatten[a, r] flattens out r pairs of levels ...

BetaRegularized (Built-in Mathematica Symbol)

BetaRegularized[z, a, b] gives the regularized incomplete beta function I_z (a, b).

Convolve (Built-in Mathematica Symbol)

Convolve[f, g, x, y] gives the convolution with respect to x of the expressions f and g.Convolve[f, g, {x_1, x_2, ...}, {y_1, y_2, ...}] gives the multidimensional ...

DiscreteShift (Built-in Mathematica Symbol)

DiscreteShift[f, i] gives the discrete shift DiscreteShift[f(i), i] == f(i + 1). DiscreteShift[f, {i, n}] gives the multiple shift \[DiscreteShift]_i^n\ f.DiscreteShift[f, ...

EllipticPi (Built-in Mathematica Symbol)

EllipticPi[n, m] gives the complete elliptic integral of the third kind \[CapitalPi] (n \[VerticalSeparator] m). EllipticPi[n, \[Phi], m] gives the incomplete elliptic ...

FourierDST (Built-in Mathematica Symbol)

FourierDST[list] finds the Fourier discrete sine transform of a list of real numbers.FourierDST[list, m] finds the Fourier discrete sine transform of type m.

HazardFunction (Built-in Mathematica Symbol)

HazardFunction[dist, x] gives the hazard function for the symbolic distribution dist evaluated at x.HazardFunction[dist, {x_1, x_2, ...}] gives the multivariate hazard ...