Mathematica contains hundreds of original algorithms for computing integer functions involving integers of any size.
MathieuC[a, q, z] gives the even Mathieu function with characteristic value a and parameter q.
MathieuS[a, q, z] gives the odd Mathieu function with characteristic value a and parameter q.
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[{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[ss, {w, v}, \[Tau]] gives the optimal discrete-time estimator gain matrix with sampling period \[Tau] for the continuous-time StateSpaceModel object ...
WorkingPrecision is an option for various numerical operations that specifies how many digits of precision should be maintained in internal computations.
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[\[Phi], m] gives the elliptic integral of the first kind F(\[Phi] \[VerticalSeparator] m).
In some cases it is useful to split the differential system into subsystems and solve each subsystem using appropriate integration methods. Recombining the individual ...