Mathematica has a general mechanism for handling messages generated during computations. Many built-in Mathematica functions use this mechanism to produce error and warning ...

The Mathematica function NDSolve is a general numerical differential equation solver. It can handle a wide range of ordinary differential equations (ODEs) as well as some ...

The Mathematica function NIntegrate is a general numerical integrator. It can handle a wide range of one-dimensional and multidimensional integrals. Finding a numerical ...

There are many variants of quasi-Newton methods. In all of them, the idea is to base the matrix B_k in the quadratic model on an approximation of the Hessian matrix built up ...

CirculantGraph[n, j] gives the circulant graph with n vertices and jump j C_n (j).CirculantGraph[n, {j_1, j_2, ...}] gives the circulant graph with n vertices and jumps j_1, ...

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 ...

DeBruijnGraph[m, n] gives the n-dimensional De Bruijn graph with m symbols.DeBruijnGraph[m, n, type] gives the De Bruijn graph with connectivity given by type.

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 ...

HararyGraph[k, n] generates the minimal k-connected graph on n vertices H k, n.

IncidenceGraph[m] gives the graph with incidence matrix m.