Whenever Mathematica draws a three-dimensional object, it always effectively puts a cuboidal box around the object. With the default option setting Boxed->True, Mathematica ...

ButterflyGraph[n] gives the order-n butterfly graph. ButterflyGraph[n, b] gives the base-b order-n butterfly graph.

An integration rule computes an estimate of an integral over a region, typically using a weighted sum. In the context of NIntegrate usage, an integration rule object provides ...

In some cases it is useful to split the differential system into subsystems and solve each subsystem using appropriate integration methods. Recombining the individual ...

Compile[{x_1, x_2, ...}, expr] creates a compiled function that evaluates expr assuming numerical values of the x_i. Compile[{{x_1, t_1}, ...}, expr] assumes that x_i is of a ...

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

Building large software systems in Mathematica should follow the general principles that apply to building any large software system. The details may be unique to Mathematica ...

CompleteGraph[n] gives the complete graph with n vertices K_n.CompleteGraph[{n_1, n_2, ..., n_k}] gives the complete k-partite graph with n_1 + n_2 + \[CenterEllipsis] + n_k ...

CompleteKaryTree[n] gives the complete binary tree with n levels.CompleteKaryTree[n, k] gives the complete k-ary tree with n levels.

GridGraph[{m, n}] gives the grid graph with m*n vertices G m, n.GridGraph[{n_1, n_2, ..., n_k}] gives the k-dimensional grid graph with n_1*n_2*\[CenterEllipsis]*n_k vertices ...