ExistsRealQ[ineqs, {x_1, x_2, ...}] tests whether there exist real values of the x_i for which the inequalities and equations ineqs are satisfied.
ForAllRealQ[ineqs, {x_1, x_2, ...}] tests whether for all real values of the x_i the inequalities and equations ineqs are satisfied.
ImpliesRealQ[ineqs_1, ineqs_2] tests whether the inequalities and equations ineqs_1 imply the ineqs_2 for all real values of all variables.
ExtensionDegree[f] gives the degree of the extension of the field f over its base field.
FieldIrreducible[f, s] gives the irreducible polynomial in the symbol s associated with the field f.
PolynomialToElement[f, poly] gives an element in the field f corresponding to the univariate polynomial poly with integer coefficients.
HertzToCents[{freq_1, freq_2, ...}] converts a list of frequencies freq_1, freq_2, ..., measured in Hertz to a list of intervals measured in cents.
AddInputAlias[alias -> boxes] adds the alias Esc\[ThinSpace]alias\[ThinSpace]Esc for boxes to the aliases in the current notebook. AddInputAlias[alias -> boxes, notebook] ...
AutoLoadNotationPalette specifies whether the Notation palette is opened when the Notation Package is loaded.
CreateNotationRules is a possible value for the Action option to Notation, Symbolize and InfixNotation.