Manipulate[expr, {u, u_min, u_max}] generates a version of expr with controls added to allow interactive manipulation of the value of u. Manipulate[expr, {u, u_min, u_max, ...
Product
(Built-in Mathematica Symbol) Product[f, {i, i_max}] evaluates the product \[Product]i = 1 i_max f. Product[f, {i, i_min, i_max}] starts with i = i_min. Product[f, {i, i_min, i_max, di}] uses steps di. ...
StationaryWaveletTransform[data] gives the stationary wavelet transform (SWT) of an array of data.StationaryWaveletTransform[data, wave] gives the stationary wavelet ...
TreeGraph[{v_1, v_2, ...}, {u_1, u_2, ...}] yields a tree where u_i is the predecessor of v_i.TreeGraph[{e_1, e_2, ...}] yields a tree with edges e_j.TreeGraph[{v_1, v_2, ...
.NET/Link provides Mathematica users with the ability to interact with arbitrary .NET types directly from Mathematica. You can create objects and call methods and properties ...
Matrices are represented in Mathematica with lists. They can be entered directly with the { } notation, constructed from a formula, or imported from a data file. Mathematica ...
Apply
(Built-in Mathematica Symbol) Apply[f, expr] or f @@ expr replaces the head of expr by f. Apply[f, expr, {1}] or f @@@ expr replaces heads at level 1 of expr by f.Apply[f, expr, levelspec] replaces heads ...
Join
(Built-in Mathematica Symbol) Join[list_1, list_2, ...] concatenates lists or other expressions that share the same head.Join[list_1, list_2, ..., n] joins the objects at level n in each of the list_i.
Transpose[list] transposes the first two levels in list. Transpose[list, {n_1, n_2, ...}] transposes list so that the k\[Null]^th level in list is the n_k\[Null]^th level in ...
Structural operations on polynomials. Here is a polynomial in one variable. Expand expands out products and powers, writing the polynomial as a simple sum of terms.