Unicode: 221A. Alias: Esc sqrt Esc. Prefix operator with built-in evaluation rules. √ x is by default interpreted as Sqrt[x]. Ctrl+@, Ctrl+2 or ∖@ yields a complete SqrtBox ...

PolarizedFractalEfficiency

AlgebraicNumberPolynomial[a, x] gives the polynomial in x corresponding to the AlgebraicNumber object a.

NumberFieldDiscriminant[a] gives the discriminant of the field \[DoubleStruckCapitalQ][a] generated by the algebraic number a.

NumberFieldRegulator[a] gives the regulator of the field \[DoubleStruckCapitalQ][a] generated by the algebraic number a.

Functions like Factor usually assume that all coefficients in the polynomials they produce must involve only rational numbers. But by setting the option Extension you can ...

Simplifying with assumptions. Mathematica does not automatically simplify this, since it is only true for some values of x. Sqrt[x^2] is equal to x for x≥0, but not otherwise.

XMLParser[root, " file"] represents a parser object created by InitializeXMLParser for XML documents with a root element root and corresponding to the DTD " file".

GroebnerBasis[{poly_1, poly_2, ...}, {x_1, x_2, ...}] gives a list of polynomials that form a Gröbner basis for the set of polynomials poly_i. GroebnerBasis[{poly_1, poly_2, ...

Algebraic is now available as the newly added built-in Mathematica kernel function AlgebraicNumber. ToCommonField and ToNumberFieldElement are now available as the newly ...