ExpandDenominator[expr] expands out products and powers that appear as denominators in expr.
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, ...
Developed at Wolfram Research over nearly twenty years, Mathematica has by far the world's most sophisticated and convenient mathematical typesetting technology. Generalizing ...
Built into Mathematica are a large number of special characters intended for use in mathematical and other notation. "Listing of Named Characters" gives a complete listing. ...
Simplify[expr] performs a sequence of algebraic and other transformations on expr, and returns the simplest form it finds. Simplify[expr, assum] does simplification using ...
InverseEllipticNomeQ[q] gives the parameter m corresponding to the nome q in an elliptic function.
CountRoots[poly, x] gives the number of real roots of the polynomial poly in x.CountRoots[poly, {x, a, b}] gives the number of roots between a and b.
ModularLambda[\[Tau]] gives the modular lambda elliptic function \[Lambda](\[Tau]).
InverseFunction[f] represents the inverse of the function f, defined so that InverseFunction[f][y] gives the value of x for which f[x] is equal to y. InverseFunction[f, n, ...
Minimization and maximization. Minimize and Maximize yield lists giving the value attained at the minimum or maximum, together with rules specifying where the minimum or ...