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 ...
ConditionalExpression[expr, cond] is a symbolic construct that represents the expression expr when the condition cond is True.
PermutationGroup[{perm_1, ..., perm_n}] represents the group generated by multiplication of the permutations perm_1, ..., perm_n.
ToRadicals[expr] attempts to express all Root objects in expr in terms of radicals.
Mathematica provides important functionality through accessing the internet. Most Mathematica functions that provide computable data operate by loading data over the ...
PolarPlot[r, {\[Theta], \[Theta]_min, \[Theta]_max}] generates a polar plot of a curve with radius r as a function of angle \[Theta].PolarPlot[{f_1, f_2, ...}, {\[Theta], ...
BinormalDistribution[{\[Mu]_1, \[Mu]_2}, {\[Sigma]_1, \[Sigma]_\ 2}, \[Rho]] represents a bivariate normal distribution with mean {\[Mu]_1, \[Mu]_2} and covariance matrix ...
SinghMaddalaDistribution[q, a, b] represents the Singh\[Dash]Maddala distribution with shape parameters q and a and scale parameter b.
Fold
(Built-in Mathematica Symbol) Fold[f, x, list] gives the last element of FoldList[f, x, list].
FractionalPart[x] gives the fractional part of x.