expr //. rules repeatedly performs replacements until expr no longer changes.
PermutationMin[perm] returns the smallest integer moved by the permutation perm.
EllipticNomeQ[m] gives the nome q corresponding to the parameter m in an elliptic function.
lhs := rhs assigns rhs to be the delayed value of lhs. rhs is maintained in an unevaluated form. When lhs appears, it is replaced by rhs, evaluated afresh each time.
MultiplicativeOrder[k, n] gives the multiplicative order of k modulo n, defined as the smallest integer m such that k^m \[Congruent] 1 mod n. MultiplicativeOrder[k, n, {r_1, ...
Mathematica allows you to specify in detail what should happen when you press Shift+Enter to evaluate a cell in a notebook, or Ctrl+Shift+Enter to evaluate an expression in ...
SphericalHarmonicY[l, m, \[Theta], \[Phi]] gives the spherical harmonic Y_l^m(\[Theta], \[Phi]).
ImageConvolve[image, ker] gives the convolution of image with kernel ker.
Round
(Built-in Mathematica Symbol) Round[x] gives the integer closest to x. Round[x, a] rounds to the nearest multiple of a.
Converting between numbers and lists or strings of digits. Here is the list of base 16 digits for an integer. This gives a list of digits, together with the number of digits ...