Mathematica's uniform representation of vectors and matrices as lists automatically extends to tensors of any rank, allowing Mathematica's powerful list manipulation ...

NotElement[x, dom] or x \[NotElement] dom asserts that x is not an element of the domain dom.NotElement[x_1 | ... | x_n, dom] asserts that none of the x_i are elements of ...

DensityHistogram[{{x_1, y_1}, {x_2, y_2}, ...}] plots a density histogram of the values {x_i, y_i}.DensityHistogram[{{x_1, y_1}, {x_2, y_2}, ...}, bspec] plots a density ...

Mathematica provides a complete data manipulation language with vast flexibility in rearranging lists with any number of elements in any kind of structure.

Lists are very important and general structures in Mathematica. They allow you to treat collections of all kinds of objects as a single entity. There are many ways to ...

MatrixExp[m] gives the matrix exponential of m. MatrixExp[m, v] gives the matrix exponential of m applied to the vector v.

Mathematica is uniquely suited for processing symbolic expressions because of its powerful pattern-matching abilities and large collection of built-in structural manipulation ...

ShortestPathSpanningTree[g, v] constructs a shortest-path spanning tree rooted at v, so that a shortest path in graph g from v to any other vertex is a path in the tree.

ButcherPlot[tree] gives a plot of tree.ButcherPlot[{tree_1, tree_2, ...}] gives an array of plots of tree_1, tree_2, ....

Mathematica offers great flexibility for adding text to graphics; you can add text interactively using the Drawing Tools palette or programmatically using various graphics ...