Array (Built-in Mathematica Symbol)

Array[f, n] generates a list of length n, with elements f[i]. Array[f, {n_1, n_2, ...}] generates an n_1*n_2*... array of nested lists, with elements f[i_1, i_2, ...]. ...

Cyclotomic (Built-in Mathematica Symbol)

Cyclotomic[n, x] gives the n\[Null]^th cyclotomic polynomial in x.

FindInstance (Built-in Mathematica Symbol)

FindInstance[expr, vars] finds an instance of vars that makes the statement expr be True. FindInstance[expr, vars, dom] finds an instance over the domain dom. Common choices ...

Normal (Built-in Mathematica Symbol)

Normal[expr] converts expr to a normal expression, from a variety of special forms.

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.

SingularValueList (Built-in Mathematica Symbol)

SingularValueList[m] gives a list of the nonzero singular values of a matrix m. SingularValueList[{m, a}] gives the generalized singular values of m with respect to a. ...

SystemsModelFeedbackConnect (Built-in Mathematica Symbol)

SystemsModelFeedbackConnect[sys] gives the closed-loop system for the StateSpaceModel or TransferFunctionModel object sys with unity negative feedback. ...

WeierstrassSigma (Built-in Mathematica Symbol)

WeierstrassSigma[u, {g_2, g_3}] gives the Weierstrass sigma function \[Sigma](u; g_2, g_3).

$MaxRootDegree (Built-in Mathematica Symbol)

$MaxRootDegree specifies the maximum degree of polynomial to allow in Root objects.

Further Examples of Exactly Solvable ... (Mathematica Tutorial)

The solutions to many second-order ODEs can be expressed in terms of special functions. Solutions to certain higher-order ODEs can also be expressed using AiryAi, BesselJ, ...