PolynomialLCM (Built-in Mathematica Symbol)

PolynomialLCM[poly_1, poly_2, ...] gives the least common multiple of the polynomials poly_i. PolynomialLCM[poly_1, poly_2, ..., Modulus -> p] evaluates the LCM modulo the ...

Generalized Input (Mathematica Guide)

Mathematica's unique structure allows a generalized notion of input, in which not only ordinary text, but also typeset structures, diagrams, graphics, control objects and ...

ExplicitRungeKutta Method for NDSolve (Mathematica Tutorial)

This loads packages containing some test problems and utility functions. One of the first and simplest methods for solving initial value problems was proposed by Euler: ...

Testing Expressions (Mathematica Guide)

Mathematica symbolic expressions can represent an immense range of types of objects. Mathematica provides a rich collection of functions to test expressions. Functions that ...

Use Logical Operators (Mathematica How To)

Mathematica supports logical operators not only for programming, but for mathematical operations as well.

Verification of the Solution (Mathematica Tutorial)

The solution given by DSolve can be verified using various methods. The easiest method involves substituting the solution back into the equation. If the result is True, the ...

FactorSquareFree (Built-in Mathematica Symbol)

FactorSquareFree[poly] pulls out any multiple factors in a polynomial.

Work with Sparse Matrices (Mathematica How To)

Sparse representations of matrices are useful because they do not store every element. If one particular value appears very frequently it can be very advantageous to use a ...

MLSetEnvIDString() (Mathematica MathLink C Function)

int MLSetEnvIDString (MLENV env, const char *eid) sets the MathLink environment identification string to eid.

ComplexExpand (Built-in Mathematica Symbol)

ComplexExpand[expr] expands expr assuming that all variables are real. ComplexExpand[expr, {x_1, x_2, ...}] expands expr assuming that variables matching any of the x_i are ...