Following are two examples of nonlinear systems of ODEs that can be solved symbolically using DSolve. The first three equations in this system of four nonlinear ODEs can be ...
LQGRegulator[{ss, sensors, finputs}, {w, v, h}, {q, r, p}] constructs the optimal feedback regulator for the StateSpaceModel ss using noisy measurements sensors and feedback ...
PowerMod[a, b, m] gives a^b mod m. PowerMod[a, -1, m] finds the modular inverse of a modulo m.PowerMod[a, 1/r, m] finds a modular r\[Null]^th root of a.
Reals
(Built-in Mathematica Symbol) Reals represents the domain of real numbers, as in x \[Element] Reals.
TrigFactor[expr] factors trigonometric functions in expr.
PoincareSection is a setting for the option TrekGenerator that specifies that the Poincaré section for differential equations is used to generate treks.
This package contains descriptive statistics for multivariate data and distributions derived from the multivariate normal distribution. Distributions are represented in the ...
RootApproximant[x] converts the number x to one of the "simplest" algebraic numbers that approximates it well.RootApproximant[x, n] finds an algebraic number of degree at ...
FourierCosSeries[expr, t, n] gives the n\[Null]^th-order Fourier cosine series expansion of expr in t.FourierCosSeries[expr, {t_1, t_2, ...}, {n_1, n_2, ...}] gives the ...
InverseSurvivalFunction[dist, q] gives the inverse of the survival function for the symbolic distribution dist as a function of the variable q.