Power (Built-in Mathematica Symbol)

x^y gives x to the power y.

RiccatiSolve (Built-in Mathematica Symbol)

RiccatiSolve[{a, b}, {q, r}] gives the matrix x that is the stabilizing solution of the continuous algebraic Riccati equation ConjugateTranspose[a].x + x.a - ...

SingularValueDecomposition (Built-in Mathematica Symbol)

SingularValueDecomposition[m] gives the singular value decomposition for a numerical matrix m as a list of matrices {u, w, v}, where w is a diagonal matrix and m can be ...

SymletWavelet (Built-in Mathematica Symbol)

SymletWavelet[] represents the Symlet wavelet of order 4.SymletWavelet[n] represents the Symlet wavelet of order n.

NFourierSeries (Fourier Series Package Symbol)

NFourierSeries[expr, t, n] gives a numerical approximation to the order n Fourier exponential series expansion of expr, where expr is a periodic function of t with period 2 ...

NVariationalBound (Variational Methods Package Symbol)

NVariationalBound[f, u[x ], {x, x_min, x_max}, u_t, {a, a_0}, {b, b_0}, ...] numerically searches for values of the parameters a, b, ... of a trial function u_t, starting ...

ModularLambda (Built-in Mathematica Symbol)

ModularLambda[\[Tau]] gives the modular lambda elliptic function \[Lambda](\[Tau]).

SystemsModelDelete (Built-in Mathematica Symbol)

SystemsModelDelete[sys, {i_1, i_2, ...}] deletes the subsystem of the StateSpaceModel or TransferFunctionModel object sys associated with inputs at position ...

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, ...

Linear Second-Order ODEs with Rational ... (Mathematica Tutorial)

The hypergeometric functions play a unifying role in mathematical analysis since many important functions, such as the Bessel functions and Legendre functions, are special ...