When Mathematica cannot give you an explicit result for an integral, it leaves the integral in a symbolic form. It is often useful to manipulate this symbolic form. ...

Since lists are just a particular kind of expression, it will come as no surprise that you can refer to parts of any expression much as you refer to parts of a list. This ...

DiscreteLyapunovSolve[a, c] finds the numeric solution x of the discrete matrix equation a.x.a\[ConjugateTranspose] - x == c.DiscreteLyapunovSolve[a, b, c] solves a.x.b - x ...

ListConvolve[ker, list] forms the convolution of the kernel ker with list. ListConvolve[ker, list, k] forms the cyclic convolution in which the k\[Null]^th element of ker is ...

VertexIndex[g, v] gives the integer index for the vertex v in the graph g.

Mathematica represents vectors as lists, and never needs to distinguish between row and column cases. Vectors in Mathematica can always mix numbers and arbitrary symbolic or ...

CommonestFilter[image, r] transforms image by replacing each pixel with the most common pixel value in its range r neighborhood.CommonestFilter[data, r] applies commonest ...

Select the next-higher subexpression by pressing Ctrl+.. Press Ctrl+. repeatedly. Get rid of the contents of an expression and destructure it by pressing Del (or Backspace).

TableForm[list] prints with the elements of list arranged in an array of rectangular cells.

CanberraDistance[u, v] gives the Canberra distance between vectors u and v.