SetAlphaChannel[image] adds a fully opaque alpha channel to image.SetAlphaChannel[image, a] sets the opacity of all pixels to a.SetAlphaChannel[image, aimage] sets the alpha ...
SoundVolume is an option to Sound and SoundNote and related functions that specifies the relative volume of the sound produced.
StarGraph[n] gives the star graph with n vertices S_n.
StringReplace["string", s -> sp] or StringReplace["string", {s_1 -> sp_1, s_2 -> sp_2, ...}] replaces the string expressions s_i by sp_i whenever they appear as substrings of ...
x - y is equivalent to x + (-1*y).
LinearSolve[m, b] finds an x which solves the matrix equation m.x == b. LinearSolve[m] generates a LinearSolveFunction[...] which can be applied repeatedly to different b.
ArrayFlatten[{{m_11, m_12, ...}, {m_21, m_22, ...}, ...}] creates a single flattened matrix from a matrix of matrices m i j. ArrayFlatten[a, r] flattens out r pairs of levels ...
Getting parts of lists. This gives a list of parts 1 and 3. Here is a nested list.
Floor
(Built-in Mathematica Symbol) Floor[x] gives the greatest integer less than or equal to x. Floor[x, a] gives the greatest multiple of a less than or equal to x.
PowerExpand[expr] expands all powers of products and powers. PowerExpand[expr, {x_1, x_2, ...}] expands only with respect to the variables x_i.