Mathematically, sufficient conditions for a local minimum of a smooth function are quite straightforward: x^* is a local minimum if ∇f(x^*)=0 and the Hessian ∇^2f(x^*) is ...

Special-purpose multiprocessing hardware comes in two types, shared memory and distributed memory. In a shared-memory machine, all processors have access to a common main ...

ChemicalData["name", " property"] gives the value of the specified property for the chemical " name".ChemicalData["name"] gives a structure diagram for the chemical with the ...

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 ...

RectangleChart3D[{{x_1, y_1, z_1}, {x_2, y_2, z_2}, ...}] makes a 3D rectangle chart with bars of width x_i, depth y_i and height z_i. RectangleChart3D[{..., w_i[{x_i, y_i, ...

BubbleChart3D[{{x_1, y_1, z_1, u_1}, {x_2, y_2, z_2, u_2}, ...}] makes a 3D bubble chart with bubbles at positions {x_i, y_i, z_i} with sizes u_i.BubbleChart3D[{..., ...

CellularAutomaton[rule, init, t] generates a list representing the evolution of the cellular automaton with the specified rule from initial condition init for t steps. ...

Eigensystem[m] gives a list {values, vectors} of the eigenvalues and eigenvectors of the square matrix m. Eigensystem[{m, a}] gives the generalized eigenvalues and ...

KernelMixtureDistribution[{x_1, x_2, ...}] represents a kernel mixture distribution based on the data values x_i.KernelMixtureDistribution[{{x_1, y_1, ...}, {x_2, y_2, ...}, ...

MixtureDistribution[{w_1, ..., w_n}, {dist_1, ..., dist_n}] represents a mixture distribution whose CDF is given as a sum of the CDFs of the component distributions dist_i, ...