Numerical Methods for Solving the ... (Mathematica Tutorial)

The Lotka–Volterra system arises in mathematical biology and models the growth of animal species. Consider two species where Y_1(T) denotes the number of predators and Y_2(T) ...

IDA Method for NDSolve (Mathematica Tutorial)

The IDA package is part of the SUNDIALS (SUite of Nonlinear and DIfferential/ALgebraic equation Solvers) developed at the Center for Applied Scientific Computing of Lawrence ...

Compiled Function Operation (Compiled Function Tools Tutorial)

The Mathematica compiler generates a CompiledFunction expression that contains a sequence of simple instructions for evaluating a Mathematica computation. The compiled ...

Compiling Mathematica Expressions (Mathematica Tutorial)

If you make a definition like f[x_]:=x Sin[x], Mathematica will store the expression x Sin[x] in a form that can be evaluated for any x. Then when you give a particular value ...

Running CUDALink in Headless Mode (CUDALink Tutorial)

In some cases, such as in a cluster environment, the machine may be run in headless mode, that is, not starting the GUI server (such as X). The operating system may ...

AmplitudeModulation (Audio Package Symbol)

AmplitudeModulation[f_c, f_m, m_i, dur] creates a Sound object that is an amplitude-modulated sinusoid, having carrier and modulating frequencies f_c and f_m, measured in ...

EllipticThetaPrime (Built-in Mathematica Symbol)

EllipticThetaPrime[a, u, q] gives the derivative with respect to u of the theta function \[CurlyTheta]_a (u, q) (a = 1, ..., 4).

FindShortestPath (Built-in Mathematica Symbol)

FindShortestPath[g, s, t] finds the shortest path from source vertex s to target vertex t in the graph g.FindShortestPath[g, s, All] generates a ShortestPathFunction[...] ...

JacobiNS (Built-in Mathematica Symbol)

JacobiNS[u, m] gives the Jacobi elliptic function ns(u | m).

NumericQ (Built-in Mathematica Symbol)

NumericQ[expr] gives True if expr is a numeric quantity, and False otherwise.