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 ...

CUDAFinancialDerivative (CUDALink Symbol)

CUDAFinancialDerivative[instrument, params, ambientparams] gives the value of the specified financial instrument.CUDAFinancialDerivative[instrument, params, ambientparams, ...

Product (Built-in Mathematica Symbol)

Product[f, {i, i_max}] evaluates the product \[Product]i = 1 i_max f. Product[f, {i, i_min, i_max}] starts with i = i_min. Product[f, {i, i_min, i_max, di}] uses steps di. ...

Some Notes on Internal Implementation (Mathematica Tutorial)

General issues about the internal implementation of Mathematica are discussed in "The Internals of Mathematica". Given here are brief notes on particular features. These ...

ExponentialDistribution (Built-in Mathematica Symbol)

ExponentialDistribution[\[Lambda]] represents an exponential distribution with scale inversely proportional to parameter \[Lambda].

RandomGraph (Built-in Mathematica Symbol)

RandomGraph[{n, m}] gives a pseudorandom graph with n vertices and m edges.RandomGraph[{n, m}, k] gives a list of k pseudorandom graphs.RandomGraph[gdist, ...] samples from ...

CDF (Built-in Mathematica Symbol)

CDF[dist, x] gives the cumulative distribution function for the symbolic distribution dist evaluated at x.CDF[dist, {x_1, x_2, ...}] gives the multivariate cumulative ...

Fibonacci (Built-in Mathematica Symbol)

Fibonacci[n] gives the Fibonacci number F_n. Fibonacci[n, x] gives the Fibonacci polynomial F_n (x).

Fourier (Built-in Mathematica Symbol)

Fourier[list] finds the discrete Fourier transform of a list of complex numbers.

Probability (Built-in Mathematica Symbol)

Probability[pred, x \[Distributed] dist] gives the probability for an event that satisfies the predicate pred under the assumption that x follows the probability distribution ...