NProduct (Built-in Mathematica Symbol)

NProduct[f, {i, i_min, i_max}] gives a numerical approximation to the product \[Product]i = i_min i_max f.NProduct[f, {i, i_min, i_max, di}] uses a step di in the product.

InternallyBalancedDecomposition (Built-in Mathematica Symbol)

InternallyBalancedDecomposition[ss] yields the internally balanced decomposition of the StateSpaceModel object ss. The result is a list {s, ib} where s is the similarity ...

MomentGeneratingFunction (Built-in Mathematica Symbol)

MomentGeneratingFunction[dist, t] gives the moment generating function for the symbolic distribution dist as a function of the variable t. MomentGeneratingFunction[dist, ...

Orthogonal Polynomials (Mathematica Tutorial)

Orthogonal polynomials. Legendre polynomials LegendreP[n,x] arise in studies of systems with three-dimensional spherical symmetry. They satisfy the differential equation ...

Quantifiers (Mathematica Tutorial)

In a statement like x^4+x^2>0, Mathematica treats the variable x as having a definite, though unspecified, value. Sometimes, however, it is useful to be able to make ...

ExampleData (Built-in Mathematica Symbol)

ExampleData["type"] gives a list of names of examples of the specified type.ExampleData[{" type", " name"}] gives the default form of the named example of the specified ...

Equations in One Variable (Mathematica Tutorial)

The main equations that Solve and related Mathematica functions deal with are polynomial equations. It is easy to solve a linear equation in x. One can also solve quadratic ...

HeavisideTheta (Built-in Mathematica Symbol)

HeavisideTheta[x] represents the Heaviside theta function \[Theta](x), equal to 0 for x < 0 and 1 for x > 0. HeavisideTheta[x_1, x_2, ...] represents the multidimensional ...

DiscreteDelta (Built-in Mathematica Symbol)

DiscreteDelta[n_1, n_2, ...] gives the discrete delta function \[Delta] (n_1, n_2, ...), equal to 1 if all the n_i are zero, and 0 otherwise.

CUDA Programming (CUDALink Tutorial)

CUDA is a general C-like programming developed by NVIDIA to program Graphical Processing Units (GPUs). CUDALink provides an easy interface to program the GPU by removing many ...