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Topics related to "commutative"

commutator
commutator device used in an electric generator to convert the alternating current produced in the generator into direct current before the current is sent into an external circuit; it is basically a rotary switching device synchronized with the frequency of the alternating current. Commutators a... Read more
commutation of sentence
commutation of sentence in criminal law, reduction of a sentence for a criminal act by action of the executive head of the government. Like pardon , commutation of sentence is a matter of grace, not of right; it is distinguished from pardon, however, in that the conviction of crime is not nullifie... Read more
commutative law
commutative law in mathematics, law holding that for a given binary operation (combining two quantities) the order of the quantities is arbitrary; e.g., in addition, the numbers 2 and 5 can be combined as 2+5=7 or as 5+2=7. More generally, in addition, for any two numbers a and b the commutativ... Read more
Barrie
Barrie city (1991 pop. 62,728), S Ont., Canada, on the west shore of Lake Simcoe. It is a commuter city in the Toronto metropolitan region. Among the city's diverse manufactures are clothing, spirits, electronics, and leather goods. A large military base is nearby. ... Read more
Aranjuez
Aranjuez , town (1990 pop. 38,239), Madrid prov., central Spain, on the Tagus River. As a market for the irrigated horticulture nearby, it is known for its asparagus and strawberries. It was once a royal summer residence with elaborate gardens. The palace burned several times in the 17th cent. but w... Read more
Guildford
Guildford , town (1991 pop. 61,509) and district, Surrey, SE England, on the Wey River. The county seat of Surrey, Guildford is a market and residential commuter town of London. Manufactures include knitwear, plastics, and engineered goods. Sheep and cattle fairs are held in the town. The Univ. of S... Read more
Welwyn Garden City
Welwyn Garden City , city (1991 pop. 40,665), Hertfordshire, E central England. It is a garden city , founded by Ebenezer Howard in 1920. Its industries produce a variety of products, including radio and television sets. Most of the local population, however, commutes to work in London. The city'... Read more
telecommuting
telecommuting an arrangement by which people work at home using a computer and telephone, transmitting work material to a business office by means of a modem and telephone lines; it is also known as telework. Although the term "telecommuting" was coined in the early 1970s, the practice became... Read more
addition
addition fundamental operation of arithmetic, denoted by +. In counting, a + b represents the number of items in the union of two collections having no common members (disjoint sets), having respectively a and b members. In geometry a + b might, for example, represent the area of the union ... Read more
Gang of Four
Gang of Four term of opprobrium given by the Chinese Communist authorities to four persons held responsible for the excesses of the Cultural Revolution (1966-69). They were also accused of trying to seize power after the deaths (1976) of Mao Zedong and Zhou Enlai . The most notable of the Gang... Read more

Encyclopedia entries related to "commutative"

Commutative Property
Encyclopedia entry from: The Gale Encyclopedia of Science Commutative Property Commutativity is a property...binary (two-element) operation is commutative if it does not matter which element...For example, because addition is commutative, 5 + 7 has the same value as 7 + 5...
commutative law
Book article from: The Columbia Encyclopedia, Sixth Edition commutative law in mathematics, law holding that for...addition, for any two numbers a and b the commutative law is expressed as a + b = b + a. Multiplication of numbers is also commutative, i.e., a × b = b × a...
ring
Book article from: The Columbia Encyclopedia, Sixth Edition ...operations, such that addition makes R a commutative group and multiplication is associative and distributes over addition (see commutative law ; associative law ; distributive law ). A commutative ring is one in which the commutative law...
Field
Encyclopedia entry from: The Gale Encyclopedia of Science ...are unique elements in the field. 2.Commutative laws: a + b = b + a and ab = ba. 3...multiplying integers that are closed. They are commutative and associative because integers are commutative and associative. The ratio 0/1 is an...
Group
Encyclopedia entry from: The Gale Encyclopedia of Science ...examples we have just given are examples of commutative groups. These are also known as Abelian...group theory. For an example of a non-commutative group consider the permutations on the...demonstrates that this group is not commutative. A complete “ multiplication...
group
Book article from: The Columbia Encyclopedia, Sixth Edition ...axioms, the group also satisfies the commutative law for the operation, i.e...symbol] a, then it is called a commutative, or Abelian, group. The real numbers (see number ) form a commutative group both under addition, with...
Modular Arithmetic
Encyclopedia entry from: The Gale Encyclopedia of Science ...all a and b in the set (addition and multiplication are commutative), but less obviously, we have associatively a + (b...addition and a multiplication are defined and for which the commutative, associative, and distributive properties hold, where...
Multiplication
Encyclopedia entry from: The Gale Encyclopedia of Science ...xA0; ab is a unique number the closure law ab = ba the commutative law a(bc) = (ab)c the associative law a •...factors in a product may be combined in any order. generalized commutative property and the 3 are each called multipliers, factors...
Arithmetic
Encyclopedia entry from: The Gale Encyclopedia of Science ...related to the operation of addition. The first, called the commutative law, is denoted by the equation a + b = b + a. This means...multiplication has three axioms related to it. There is the commutative law of multiplication stated by the equation a
Matrix
Encyclopedia entry from: The Gale Encyclopedia of Science ...matrix addition the same properties as ordinary addition and subtraction. It is closed (among matrices of the same size), commutative, and associative. There is an additive identity (the matrix consisting entirely of zeros) and an additive inverse...

Dictionary entries related to "commutative"

commutative diagram
Book article from: A Dictionary of Computing commutative diagram A method for displaying equations between...x3B2; f ( a ) This equation is depicted by the commutative diagram shown in the figure. Equations and commutative diagrams of this form play an important role in relating...
commutative operation
Book article from: A Dictionary of Computing commutative operation Any dyadic operation ◦ that satisfies the law x ◦ y = y ◦ x for all x and y in the domain of ◦. The law is known as the commutative law . The usual addition of integers is commutative but subtraction is not.
commutative group
Book article from: A Dictionary of Computing commutative group ( abelian group ) See group .
commutative ring
Book article from: A Dictionary of Computing commutative ring See ring .
commutative law
Book article from: A Dictionary of Computing commutative law See commutative operation .
commutative semiring
Book article from: A Dictionary of Computing commutative semiring See semiring .
commutative
Book article from: The Oxford Pocket Dictionary of Current English com·mu·ta·tive / ˈkämyəˌtātiv; kəˈmyoōtətiv / • adj. Math. involving the condition that a group of quantities connected by operators gives the same result whatever the order of the quantities involved, e.g., a × b = b
ring
Book article from: A Dictionary of Computing ...x2329; R , +〉 i.e. + is commutative and associative . With respect to multiplication...particular interest:(a)if multiplication is commutative the ring is called a commutative ring ;(b)if 〈 R , ·...
semiring
Book article from: A Dictionary of Computing ...defined, is a monoid; the operation + is commutative ; the operation · is distributive...xB7; possesses a unit. A semiring is commutative if the operation · is commutative. The set of polynomials in x whose coefficients...
group
Book article from: A Dictionary of Computing ...axioms . Certain kinds of groups are of particular interest. If the dyadic operation ◦ is commutative , the group is said to be a commutative group or an abelian group (named for the Norwegian mathematician Niels Abel). If there is only...

Related newspaper, magazine, and trade journal articles from HighBeam Research

On Smarandache algebraic structures. III : the commutative ring B(a,n).(Brief article)
Magazine article from: Smarandache Notions Journal; 1/1/2001; ; 647 words ; ...Key words. Smarandache algorithm, commutative ring. Let a,n be integers such that...root modulo m, then B(a,n) is a commutative ring under the Smarandache additive...U {0} by (1), B(a,n) is a commutative multiplicative semigroup under the Smarandache...
Common fixed point theorems for left reversible and near-commutative semigroups and applications.
Magazine article from: Journal of Inequalities and Applications; 1/1/2005; ; 700+ words ; ...theorems for left reversible and near-commutative semigroups in compact and complete metric...theorems for left reversible and near-commutative semigroups of contractive self-mappings...for certain left reversible and near-commutative semigroups of self-mappings in compact...
Harmonic analysis on commutative spaces.(Brief Article)(Book Review)
Magazine article from: SciTech Book News; 12/1/2007; 522 words ; 9780821842898 Harmonic analysis on commutative spaces. Wolf, Joseph A. American...geometric approach to the theory of commutative spaces, noting that recent work in...moment for this monograph. He describes commutative space theory as a common generalization...
On Smarandache algebraic structures. I: the commutative multiplicative semigroup A(a,n).
Magazine article from: Smarandache Notions Journal; 1/1/2001; ; 700+ words ; ...algorithm , we construct a class of commutative multiplicative semigroups . Key words . Smarandache algorithm , commutative multiplicative semigroup...Smarandache algorithm, A(a,n) is a commutative multiplicative semigroup. Proof...
Commutative algebra; geometric, homological, combinatorial, and computational aspects.(Brief Article)(Book Review)
Magazine article from: SciTech Book News; 12/1/2005; 513 words ; 082472335X Commutative algebra; geometric, homological, combinatorial, and computational...collects refereed research papers on developments at the interface of commutative algebra and algebraic geometry. Blowup algebras, Castelnuovo...
Graduate algebra; commutative view.(Brief Article)(Book Review)
Magazine article from: SciTech Book News; 12/1/2006; 532 words ; 0821805703 Graduate algebra; commutative view. Rowen, Louis Halle. Amer. Mathematical Society 2006...localization in the prime spectrum, the Krull dimension theory of commutative Noetherian rings. In his section on applications to geometry...
On Smarandache algebraic structures IV: the commutative ring C(a,n).(Brief article)
Magazine article from: Smarandache Notions Journal; 1/1/2001; ; 659 words ; ...paper we construct a new class of commutative rings under the Smarandache algorithm...words. Smarandache algorithm, commutative ring. ********** Let...Theorem. C(a,n) is a commutative ring under the Smarandache additive...
Commutative algebra and algebraic geometry; proceedings.(Brief Article)(Book Review)
Magazine article from: SciTech Book News; 3/1/2006; 534 words ; 0821836293 Commutative algebra and algebraic geometry; proceedings...the Indian Mathematical Society on Commutative Algebra and Algebraic Geometry (2003...cover diverse topics in the areas of commutative algebra and algebraic geometry. Examples...
Arithmetic properties of commutative rings and monoids.(Brief Article)(Book Review)
Magazine article from: SciTech Book News; 9/1/2005; 544 words ; 0824723279 Arithmetic properties of commutative rings and monoids. Chapman, Scott...conference Factorization Properties of Commutative Rings and Monoids at the U. of South...Hill and the regular special session Commutative Rings and Monoids of the Southeast sectional...
IRAN: SHELL NON-COMMUTATIVE OVER OFFSHORE OIL FIELDS LEGAL WRANGLING.
Newspaper article from: IPR Strategic Business Information Database; 11/16/1999; 348 words ; According to local press reports, Royal Dutch/Shell declined to comment on the possibility of U.S. legal retaliation over its agreement to develop two offshore oilfields in Iran, which Washington seeks to isolate economically. Shell exploration BV, an affiliate of the major, signed the accord in