LaplaceTransform (Built-in Mathematica Symbol)

LaplaceTransform[expr, t, s] gives the Laplace transform of expr. LaplaceTransform[expr, {t_1, t_2, ...}, {s_1, s_2, ...}] gives the multidimensional Laplace transform of ...

RootReduce (Built-in Mathematica Symbol)

RootReduce[expr] attempts to reduce expr to a single Root object.

LUDecomposition (Built-in Mathematica Symbol)

LUDecomposition[m] generates a representation of the LU decomposition of a square matrix m.

Exact Global Optimization (Mathematica Tutorial)

Exact global optimization problems can be solved exactly using Minimize and Maximize. This computes the radius of the circle, centered at the origin, circumscribed about the ...

Cryptographic Number Theory (Mathematica Guide)

Mathematica's extensive base of state-of-the-art algorithms, efficient handling of very long integers, and powerful built-in language make it uniquely suited to both research ...

Recurrence and Sum Functions (Mathematica Guide)

Mathematica has a wide coverage of named functions defined by sums and recurrence relations. Often using original algorithms developed at Wolfram Research, Mathematica ...

AlgebraicNumberTrace (Built-in Mathematica Symbol)

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

D (Built-in Mathematica Symbol)

D[f, x] gives the partial derivative \[PartialD]f/\[PartialD]x. D[f, {x, n}] gives the multiple derivative \[PartialD]^n f/\[PartialD]x^n. D[f, x, y, ...] differentiates f ...

MachineNumberQ (Built-in Mathematica Symbol)

MachineNumberQ[expr] returns True if expr is a machine-precision real or complex number, and returns False otherwise.

Subscripts, Bars, and Other Modifiers (Mathematica Tutorial)

Here is a typical palette of modifiers. Mathematica allows you to use any expression as a subscript. Unless you specifically tell it otherwise, Mathematica will interpret a ...