Import and Export 3D Graphics (Mathematica How To)

Mathematica can import and export 3D graphics in a variety of standard formats, allowing interchange with other applications. As with other 3D graphics in Mathematica , ...

PauliMatrix (Built-in Mathematica Symbol)

PauliMatrix[k] gives the k\[Null]^th Pauli spin matrix \[Sigma]_k.

Lie Symmetry Methods for Solving ... (Mathematica Tutorial)

Around 1870, Marius Sophus Lie realized that many of the methods for solving differential equations could be unified using group theory. Lie symmetry methods are central to ...

Cyclic (Combinatorica Package Symbol)

Cyclic is an argument to the Polya-theoretic functions ListNecklaces, NumberOfNecklaces, and NecklacePolynomial, which count or enumerate distinct necklaces. Cyclic refers to ...

Dihedral (Combinatorica Package Symbol)

Dihedral is an argument to the Polya-theoretic functions ListNecklaces, NumberOfNecklaces, and NecklacePolynomial, which count or enumerate distinct necklaces. Dihedral ...

ImageCorrespondingPoints (Built-in Mathematica Symbol)

ImageCorrespondingPoints[image_1, image_2] finds a set of matching interest points in image_1 and image_2 and returns their pixel coordinates.

PermutationGroup (Built-in Mathematica Symbol)

PermutationGroup[{perm_1, ..., perm_n}] represents the group generated by multiplication of the permutations perm_1, ..., perm_n.

CirculantGraph (Built-in Mathematica Symbol)

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 (Built-in Mathematica Symbol)

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 (Built-in Mathematica Symbol)

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