Bessel-Related Functions (Mathematica Guide)

Using original algorithms developed at Wolfram Research, Mathematica has full coverage of all standard Bessel-related functions—evaluating every function to arbitrary ...

KleinInvariantJ (Built-in Mathematica Symbol)

KleinInvariantJ[\[Tau]] gives the Klein invariant modular elliptic function J(\[Tau]).

DifferentialEquationTrek (Equation Trekker Package Symbol)

DifferentialEquationTrek is a setting for the option TrekGenerator that specifies that treks are generated from the phase space of the numerical solution of a differential ...

OrthogonalProjection Method for NDSolve (Mathematica Tutorial)

Consider the matrix differential equation where the initial value y_0 y(0)∈^m×p is given. Assume that y_0^Ty_0I, that the solution has the property of preserving ...

SemialgebraicComponentInstances (Built-in Mathematica Symbol)

SemialgebraicComponentInstances[ineqs, {x_1, x_2, ...}] gives at least one sample point in each connected component of the semialgebraic set defined by the inequalities ineqs ...

JacobiDN (Built-in Mathematica Symbol)

JacobiDN[u, m] gives the Jacobi elliptic function dn(u | m).

PearsonDistribution (Built-in Mathematica Symbol)

PearsonDistribution[a_1, a_0, b_2, b_1, b_0] represents a distribution of the Pearson family with parameters a_1, a_0, b_2, b_1, and b_0.PearsonDistribution[type, a_1, a_0, ...

Logic & Boolean Algebra (Mathematica Guide)

Mathematica represents Boolean expressions in symbolic form, so they can not only be evaluated, but also be symbolically manipulated and transformed. Incorporating ...

Number Recognition (Mathematica Guide)

A core activity in exploratory experimental mathematics is recognition of numbers: going backward from a number to find out how it can be generated. Mathematica provides ...

Series, Limits, and Residues (Mathematica Overview)

Sums and Products Power Series Making Power Series Expansions