Different kinds of vector and matrix multiplication. This multiplies each element of the vector by the scalar k. The "dot" operator gives the scalar product of two vectors.

SphericalHankelH1[n, z] gives the spherical Hankel function of the first kind h_n^(1)(z).

Like other objects in Mathematica, the cells in a notebook, and in fact the whole notebook itself, are all ultimately represented as Mathematica expressions. With the ...

Pi is \[Pi], with numerical value \[TildeEqual] 3.14159.

When Mathematica reads the text x^y, it interprets it as x raised to the power y. In a notebook, you can also give the two-dimensional input x^y directly. Mathematica again ...

ArrayDepth[expr] gives the depth to which expr is a full array, with all the parts at a particular level being lists of the same length, or is a SparseArray object.

HoldRest is an attribute which specifies that all but the first argument to a function are to be maintained in an unevaluated form.

PrimeQ[expr] yields True if expr is a prime number, and yields False otherwise.

"Sound" describes how you can take functions and lists of data and produce sounds from them. Here we discuss how sounds are represented in Mathematica. Mathematica treats ...

Scan[f, expr] evaluates f applied to each element of expr in turn. Scan[f, expr, levelspec] applies f to parts of expr specified by levelspec.