^ -- a binary operator, usually used for exponents

^ -- a binary operator, usually used for exponents

x ^ y -- a binary operator used for powers and raising nets.

When computing powers, one of the following methods is used.

SimplePowerMethod -- compute powers by multiplying

BinaryPowerMethod -- compute powers by squaring

In addition, if n is 0, then the unit element (class x)#1 is returned. If n is negative, then the method named InverseMethod will be called.

This operator may be used as a binary operator in an expression like x ^ y. The user may install binary methods for handling such expressions with code such as

              X ^ Y := (x,y) -> ...

where X is the class of x and Y is the class of y.

Methods for ^ :

CC ^ ZZ

ChainComplex ^ Array

ChainComplex ^ ZZ

ChainComplexMap ^ Array

ChainComplexMap ^ ZZ

CoherentSheaf ^ ZZ

Expression ^ Expression

Expression ^ Holder

Expression ^ OneExpression

Expression ^ Thing

Expression ^ ZeroExpression

GradedModuleMap ^ Array

GradedModuleMap ^ ZZ

Holder ^ Expression

Holder ^ Holder

Holder ^ OneExpression

Holder ^ ZeroExpression

Ideal ^ ZZ -- power of an ideal

MarkUpList ^ MarkUpList

Matrix ^ [...] -- select some rows of blocks

Matrix ^ {...} -- select some rows of a matrix

Matrix ^ ZZ

Module ^ [...] -- projection onto some factors of a direct sum module

Module ^ {...} -- projection map from a free module

Module ^ ZZ -- make a direct sum of several copies of a module

MonomialIdeal ^ ZZ

Net ^ ZZ -- raise a net

Ring ^ {...} -- make a free module

Ring ^ ZZ -- make a free module

RingElement ^ ZZ

ScriptedFunctor ^ Thing

String ^ ZZ

Thing ^ QQ

ZeroExpression ^ Expression

ZeroExpression ^ Holder

ZeroExpression ^ ZeroExpression