Mathematica has a very general notion of functions, as rules for arbitrary transformations. Values for variables are also assigned in this manner. When you set a value for a ...

MaximalIndependentVertexSet[g] gives a maximal independent vertex set of an undirected graph g.MaximalIndependentVertexSet[g, w] gives a maximal independent vertex set of g ...

Mathematica can run its calculations on other computers that have Mathematica installed. Passing computations to other, potentially more powerful, machines can increase the ...

Assumptions is an option for functions such as Simplify, Refine, and Integrate that specifies default assumptions to be made about symbolic quantities.

ContourPlot3D[f, {x, x_min, x_max}, {y, y_min, y_max}, {z, z_min, z_max}] produces a three-dimensional contour plot of f as a function of x, y, and z. ContourPlot3D[f == g, ...

Some integer functions. The remainder on dividing 17 by 3. The integer part of 17/3.

Since many functions in Mathematica give solutions in the form of rules, you need to be able to use these rules to explore and interpret your results. Although many of the ...

"How to" Topics Numbers Algebraic Calculations

If you experience internet connectivity problems, such as trouble using Mathematica's integrated data functions, try following the troubleshooting techniques described below. ...

In the standard notebook front end, Mathematica allows you to set a large number of global options. The values of all these options are by default saved in a "preferences ...