Unicode: 2248. Alias: Esc ~~ Esc. Infix similarity operator. x ≈ y is by default interpreted as TildeTilde[x,y]. Used for various notions of approximate or asymptotic ...

CircularEmbedding[n] constructs a list of n points equally spaced on a circle. CircularEmbedding[g] embeds the vertices of g equally spaced on a circle.

GraphPlot and GraphPlot3D calculate and plot a visually appealing 2D/3D layout of a graph. The functions are designed to work with very large graphs and handle both connected ...

Combinatorica extends Mathematica by over 450 functions in combinatorics and graph theory. It includes functions for constructing graphs and other combinatorial objects, ...

Union[list_1, list_2, ...] gives a sorted list of all the distinct elements that appear in any of the list_i. Union[list] gives a sorted version of a list, in which all ...

Searching for local minima and maxima. This finds the value of x which minimizes Γ(x), starting at x2. The last element of the list gives the value at which the minimum is ...

This loads the package. Economized rational approximations. A Pad é approximation is very accurate near the center of expansion, but the error increases rapidly as you get ...

Groups admit many different representations. In particular, all finite groups can be represented as permutation groups, that is, they are always isomorphic to a subgroup of ...

AppendColumns, AppendRows, and BlockMatrix are available using the Mathematica kernel functions Join and ArrayFlatten. TakeRows, TakeColumns, TakeMatrix, and SubMatrix are ...

Combinatorial functions. The factorial function n! gives the number of ways of ordering n objects. For non-integer n, the numerical value of n! is obtained from the gamma ...