ToRadicals (Built-in Mathematica Symbol)

ToRadicals[expr] attempts to express all Root objects in expr in terms of radicals.

NumberFieldSignature (Built-in Mathematica Symbol)

NumberFieldSignature[a] gives the signature of the field \[DoubleStruckCapitalQ][a] generated by the algebraic number a.

Roots (Built-in Mathematica Symbol)

Roots[lhs == rhs, var] yields a disjunction of equations which represent the roots of a polynomial equation.

Cyclotomic (Built-in Mathematica Symbol)

Cyclotomic[n, x] gives the n\[Null]^th cyclotomic polynomial in x.

ExpressionCell (Built-in Mathematica Symbol)

ExpressionCell[expr] gives an expression cell that can appear in a Mathematica notebook. ExpressionCell[expr, " style"] gives an expression cell with the specified style.

Applying Transformation Rules (Mathematica Tutorial)

Applying transformation rules. The replacement operator /. (pronounced "slash-dot") applies rules to expressions. You can give a list of rules to apply. Each rule will be ...

Epilog (Built-in Mathematica Symbol)

Epilog is an option for graphics functions that gives a list of graphics primitives to be rendered after the main part of the graphics is rendered.

SymmetricReduction (Built-in Mathematica Symbol)

SymmetricReduction[f, {x_1, ..., x_n}] gives a pair of polynomials {p, q} in x_1, ..., x_n such that f == p + q, where p is the symmetric part and q is the ...

EulerE (Built-in Mathematica Symbol)

EulerE[n] gives the Euler number E_n. EulerE[n, x] gives the Euler polynomial E_n (x).

Summary of New Features in Mathematica 8 (Mathematica Guide)