Series
(Built-in Mathematica Symbol) Series[f, {x, x_0, n}] generates a power series expansion for f about the point x = x_0 to order (x - x_0) n. Series[f, {x, x_0, n_x}, {y, y_0, n_y}, ...] successively finds ...
ErrorBar
(Error Bar Plots Package Symbol) ErrorBar[{ negerror, poserror }] error in the positive and negative directions.ErrorBar[yerr] error yerr in both the positive and negative directions.ErrorBar[xerr, yerr] ...
InverseWaveletTransform[dwd] gives the inverse wavelet transform of a DiscreteWaveletData object dwd.InverseWaveletTransform[dwd, wave] gives the inverse transform using the ...
LegendreQ[n, z] gives the Legendre function of the second kind Q_n (z). LegendreQ[n, m, z] gives the associated Legendre function of the second kind Q_n^m(z).
RankedMax[list, n] gives the n\[Null]^th largest element in list.
FindInstance[expr, vars] finds an instance of vars that makes the statement expr be True. FindInstance[expr, vars, dom] finds an instance over the domain dom. Common choices ...
LinearModelFit[{y_1, y_2, ...}, {f_1, f_2, ...}, x] constructs a linear model of the form \[Beta]_0 + \[Beta]_1 f_1 + \[Beta]_2 f_2 + ... that fits the y_i for successive x ...
Blend
(Built-in Mathematica Symbol) Blend[{col_1, col_2}, x] gives a color obtained by blending a fraction 1 - x of color col_1 and x of color col_2.Blend[{col_1, col_2, col_3, ...}, x] linearly interpolates ...
If you make a definition like f[x_]:=x Sin[x], Mathematica will store the expression x Sin[x] in a form that can be evaluated for any x. Then when you give a particular value ...
Multinomial[n_1, n_2, ...] gives the multinomial coefficient (n_1 + n_2 + ...)!/(n_1! n_2! ...).