Putting Expressions into Different Forms (Mathematica Tutorial)

Complicated algebraic expressions can usually be written in many different ways. Mathematica provides a variety of functions for converting expressions from one form to ...

Second-Order PDEs (Mathematica Tutorial)

The general form of a linear second-order PDE is Here uu(x,y), and a, b, c, d, e, f, and g are functions of x and y only—they do not depend on u. If g0, the equation is ...

Rationals (Built-in Mathematica Symbol)

Rationals represents the domain of rational numbers, as in x \[Element] Rationals.

Trigonometric Functions (Mathematica Guide)

With careful attention to branch cuts, Mathematica supports trigonometric functions everywhere in the complex plane, with extensive exact and algebraic transformations, ...

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.

InverseZTransform (Built-in Mathematica Symbol)

InverseZTransform[expr, z, n] gives the inverse Z transform of expr. InverseZTransform[expr, {z_1, z_2, ...}, {n_1, n_2, ...}] gives the multiple inverse Z transform of expr.

Convergents (Built-in Mathematica Symbol)

Convergents[list] gives a list of the convergents corresponding to the continued fraction terms list.Convergents[x, n] gives the first n convergents for a number ...

Denominator (Built-in Mathematica Symbol)

Denominator[expr] gives the denominator of expr.

Numerator (Built-in Mathematica Symbol)

Numerator[expr] gives the numerator of expr.

PolynomialRemainder (Built-in Mathematica Symbol)

PolynomialRemainder[p, q, x] gives the remainder from dividing p by q, treated as polynomials in x.