ArcCosh
(Built-in Mathematica Symbol) ArcCosh[z] gives the inverse hyperbolic cosine cosh -1 (z) of the complex number z.
RiemannSiegelTheta[t] gives the Riemann\[Dash]Siegel function \[CurlyTheta](t).
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[expr, t, \[Omega]] gives the symbolic Fourier transform of expr. FourierTransform[expr, {t_1, t_2, ...}, {\[Omega]_1, \[Omega]_2, ...}] gives the ...
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[expr] prints as an approximation to the traditional mathematical notation for expr.
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[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[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.
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.