An expression like x^2+2x-7==0 represents an equation in Mathematica. You will often need to solve equations like this, to find out for what values of x they are true. This ...
Multinomial[n_1, n_2, ...] gives the multinomial coefficient (n_1 + n_2 + ...)!/(n_1! n_2! ...).
AiryAiZero[k] represents the k\[Null]^th zero of the Airy function Ai(x).AiryAiZero[k, x_0] represents the k\[Null]^th zero less than x_0.
$MessagePrePrint is a global variable whose value, if set, is applied to expressions before they are included in the text of messages.
LiftingFilterData[...] represents lifting-filter data used to compute forward and inverse lifting wavelet transforms.
SplitBy
(Built-in Mathematica Symbol) SplitBy[list, f] splits list into sublists consisting of runs of successive elements that give the same value when f is applied.SplitBy[list, {f_1, f_2, ...}] recursively ...
Degree
(Built-in Mathematica Symbol) Degree gives the number of radians in one degree. It has a numerical value of \[Pi]/180.
LerchPhi[z, s, a] gives the Lerch transcendent \[CapitalPhi] (z, s, a).
Eigenvectors[m] gives a list of the eigenvectors of the square matrix m. Eigenvectors[{m, a}] gives the generalized eigenvectors of m with respect to a. Eigenvectors[m, k] ...