ArcCosh (Built-in Mathematica Symbol)

ArcCosh[z] gives the inverse hyperbolic cosine cosh -1 (z) of the complex number z.

RiemannSiegelTheta (Built-in Mathematica Symbol)

RiemannSiegelTheta[t] gives the Riemann\[Dash]Siegel function \[CurlyTheta](t).

Matrix Inversion (Mathematica Tutorial)

Matrix inversion. Here is a simple 2×2 matrix. This gives the inverse of m. In producing this formula, Mathematica implicitly assumes that the determinant ad-bc is nonzero.

FourierTransform (Built-in Mathematica Symbol)

FourierTransform[expr, t, \[Omega]] gives the symbolic Fourier transform of expr. FourierTransform[expr, {t_1, t_2, ...}, {\[Omega]_1, \[Omega]_2, ...}] gives the ...

GeneratingFunction (Built-in Mathematica Symbol)

GeneratingFunction[expr, n, x] gives the generating function in x for the sequence whose n\[Null]^th series coefficient is given by the expression ...

TraditionalForm (Built-in Mathematica Symbol)

TraditionalForm[expr] prints as an approximation to the traditional mathematical notation for expr.

Putting Expressions into Different Forms (Mathematica Tutorial)

Complicated algebraic expressions can usually be written in many different ways. Mathematica provides a variety of functions for converting expressions from one form to ...

DiagonalMatrix (Built-in Mathematica Symbol)

DiagonalMatrix[list] gives a matrix with the elements of list on the leading diagonal, and 0 elsewhere. DiagonalMatrix[list, k] gives a matrix with the elements of list on ...

QRDecomposition (Built-in Mathematica Symbol)

QRDecomposition[m] yields the QR decomposition for a numerical matrix m. The result is a list {q, r}, where q is an orthogonal matrix and r is an upper-triangular matrix.

Nested Lists (Mathematica Tutorial)

Ways to construct nested lists. This generates a table corresponding to a 2×3 nested list. This generates an array corresponding to the same nested list.