commutative law of addition
1commutative law — Logic. a law asserting that the order in which certain logical operations are performed is indifferent. [1835 45] * * * Two closely related laws of number operations. In symbols, they are stated: a + b = b + a and ab = ba. Stated in words:… …
2Addition — is the mathematical process of putting things together. The plus sign + means that two numbers are added together. For example, in the picture on the right, there are 3 + 2 apples meaning three apples and two other apples which is the same as… …
3Commutative property — For other uses, see Commute (disambiguation). In mathematics an operation is commutative if changing the order of the operands does not change the end result. It is a fundamental property of many binary operations, and many mathematical proofs… …
4Addition theorem — In mathematics, an addition theorem is a formula such as that for the exponential function: e x + y = e x · e y that expresses, for a particular function f , f ( x + y ) in terms of f ( x ) and f ( y ). Slightly more generally, as is the case… …
5Velocity-addition formula — In physics, a velocity addition formula is an equation that relates the velocities of moving objects in different reference frames. Contents 1 Galilean addition of velocities 2 Special theory of relativity 3 Derivation …
6Loi commutative — En mathématiques, une loi de composition interne sur un ensemble S est dite commutative lorsque, pour tous x et y dans S, . Les exemples les plus simples de lois commutatives sont sans doute l addition et la multiplication des entiers naturels. D …
7distributive law — One of the laws relating to number operations. In symbols, it is stated: a(b + c) = ab + ac. The monomial factor a is distributed, or separately applied, to each term of the polynomial factor b + c, resulting in the product ab + ac. It can also… …
8associative law — Two closely related laws of number operations. In symbols, they are stated: a + (b + c) = (a + b) + c, and a(bc) = (ab)c. Stated in words: The terms or factors may be associated in any way desired and the result will be the same. This holds for… …
9Combinatorial commutative algebra — is a relatively new, rapidly developing mathematical discipline. As the name implies, it lies at the intersection of two more established fields, commutative algebra and combinatorics, and frequently uses methods of one to address problems… …
10Absorption law — In algebra, the absorption law is an identity linking a pair of binary operations.Any two binary operations, say $ and %, are subject to the absorption law if:: a $ ( a % b ) = a % ( a $ b ) = a .The operations $ and % are said to form a dual… …
