Integer Functions (Mathematica Guide)

Mathematica contains hundreds of original algorithms for computing integer functions involving integers of any size.

MathieuC (Built-in Mathematica Symbol)

MathieuC[a, q, z] gives the even Mathieu function with characteristic value a and parameter q.

MathieuS (Built-in Mathematica Symbol)

MathieuS[a, q, z] gives the odd Mathieu function with characteristic value a and parameter q.

InverseFunction (Built-in Mathematica Symbol)

InverseFunction[f] represents the inverse of the function f, defined so that InverseFunction[f][y] gives the value of x for which f[x] is equal to y. InverseFunction[f, n, ...

GroebnerBasis (Built-in Mathematica Symbol)

GroebnerBasis[{poly_1, poly_2, ...}, {x_1, x_2, ...}] gives a list of polynomials that form a Gröbner basis for the set of polynomials poly_i. GroebnerBasis[{poly_1, poly_2, ...

DiscreteLQEstimatorGains (Built-in Mathematica Symbol)

DiscreteLQEstimatorGains[ss, {w, v}, \[Tau]] gives the optimal discrete-time estimator gain matrix with sampling period \[Tau] for the continuous-time StateSpaceModel object ...

WorkingPrecision (Built-in Mathematica Symbol)

WorkingPrecision is an option for various numerical operations that specifies how many digits of precision should be maintained in internal computations.

Quantifiers (Mathematica Tutorial)

In a statement like x^4+x^2>0, Mathematica treats the variable x as having a definite, though unspecified, value. Sometimes, however, it is useful to be able to make ...

EllipticF (Built-in Mathematica Symbol)

EllipticF[\[Phi], m] gives the elliptic integral of the first kind F(\[Phi] \[VerticalSeparator] m).

Composition and Splitting Methods for ... (Mathematica Tutorial)

In some cases it is useful to split the differential system into subsystems and solve each subsystem using appropriate integration methods. Recombining the individual ...