ChineseRemainder (Built-in Mathematica Symbol)

ChineseRemainder[{r_1, r_2, ...}, {m_1, m_2, ...}] gives the smallest non-negative x that satisfies all the integer congruences x mod m_i = r_i mod m_i.

MomentEvaluate (Built-in Mathematica Symbol)

MomentEvaluate[mexpr, dist] evaluates formal moments in the moment expression mexpr on the distribution dist.MomentEvaluate[mexpr, list] evaluates formal moments and formal ...

Function Approximations Package (Function Approximations Package Tutorial)

This loads the package. Economized rational approximations. A Pad é approximation is very accurate near the center of expansion, but the error increases rapidly as you get ...

GF (Finite Fields Package Symbol)

GF[p, d] gives the Galois field that is a degree d extension of the prime field of p elements.GF[q] gives the Galois field with q elements, for q a prime power.GF[p, ilist] ...

AlgebraicNumberTrace (Built-in Mathematica Symbol)

AlgebraicNumberTrace[a] gives the trace of the algebraic number a.

SquaresR (Built-in Mathematica Symbol)

SquaresR[d, n] gives the number of ways r_d (n) to represent the integer n as a sum of d squares.

Setting Up the Problem (Mathematica Tutorial)

The first argument given to DSolve is the differential equation, the second argument is the unknown function, and the last argument identifies the independent variable. Here ...

CylindricalDecomposition (Built-in Mathematica Symbol)

CylindricalDecomposition[ineqs, {x_1, x_2, ...}] finds a decomposition of the region represented by the inequalities ineqs into cylindrical parts whose directions correspond ...

Components and Data Structures (Mathematica Tutorial)

NDSolve is broken up into several basic steps. For advanced usage, it can sometimes be advantageous to access components to carry out each of these steps separately. NDSolve ...

Projection Method for NDSolve (Mathematica Tutorial)

When a differential system has a certain structure, it is advantageous if a numerical integration method preserves the structure. In certain situations it is useful to solve ...