Mathematics and Algorithms (Mathematica Guide)

The world's largest integrated web of mathematical capabilities and algorithms

ArcCsc (Built-in Mathematica Symbol)

ArcCsc[z] gives the arc cosecant csc -1 (z) of the complex number z.

ArcSec (Built-in Mathematica Symbol)

ArcSec[z] gives the arc secant sec -1 (z) of the complex number z.

DifferentialRootReduce (Built-in Mathematica Symbol)

DifferentialRootReduce[expr, x] attempts to reduce expr to a single DifferentialRoot object as a function of x.DifferentialRootReduce[expr, {x, x_0}] takes the initial ...

I (Built-in Mathematica Symbol)

I represents the imaginary unit Sqrt[-1].

Inverse (Built-in Mathematica Symbol)

Inverse[m] gives the inverse of a square matrix m.

Protect (Built-in Mathematica Symbol)

Protect[s_1, s_2, ...] sets the attribute Protected for the symbols s_i. Protect["form_1", "form_2", ...] protects all symbols whose names match any of the string patterns ...

$CUDADevice (CUDALink Symbol)

$CUDADevice is the CUDA device used in computation.

LinearSolve (Built-in Mathematica Symbol)

LinearSolve[m, b] finds an x which solves the matrix equation m.x == b. LinearSolve[m] generates a LinearSolveFunction[...] which can be applied repeatedly to different b.

Numerical Solution of Boundary Value ... (Mathematica Tutorial)

The shooting method works by considering the boundary conditions as a multivariate function of initial conditions at some point, reducing the boundary value problem to ...