Binary operations

[[File:Expo02.svg|thumb|Graphs of for various bases :

mathematical operation that combines two elements to produce another element

operation which takes two mathematical functions and makes one function of these

special type of element of a set with respect to a binary operation on that set, which leaves other elements unchanged when combined with them

element with an inverse with respect to a given mathematical operation; element that can 'undo' the effect of another given element

algebraic structure with a binary operation

fundamental concept in logic

In mathematics, the commutator gives an indication of the extent to which a certain binary operation fails to be commutative. There are different definitions used in group theory and ring theory.

special type of element of a set with respect to a binary composition operation on that set which, when composed with any element of the set, results in the absorbing element itself

element which, once multiplied by a given element, gives a congruent of one

commutative associative binary operation on subsets of an Abelian group (such as Euclidean space)

programming language construct or operator that tests or defines some kind of relation between two entities

operation on two groups in group theory

in homological algebra, the left derived functor of the tensor product of modules over a ring

digital circuit that implements a bit-shift operation

derived functors of the Hom functor

functor mapping hom objects to an underlying category

two related operations on a poset in order theory

mathematical operation

binary operator that is part of the syntax for a basic conditional expression in several programming languages

method of adjoining two cocycles to form a composite cocycle

mathematical operation

method of adjoining a chain of with a cochain

binary operator in computer programming

algorithm in mathematics