equals

n. person or thing that is equal, person or thing that is the same

v. match, correspond; resemble, be similar to

Two mathematical objects are equal if and only if they are precisely the same in every way. The complementary notion is distinctness. This defines a binary relation, equality, denoted by the sign of equality "=" in such a way that the statement "x = y" means that x and y are equal.Equality is the paradigmatic example of the more general concept of equivalence relations on a set: those binary relations that are reflexive, symmetric, and transitive. It goes beyond the other equivalence relations by also being  antisymmetric. In fact, these four properties uniquely determine the equality relation on any set S and render equality the only relation on S that is both an equivalence relation and a partial order. It follows from this that equality is the smallest equivalence relation on any set S, in the sense that it is a subset of any other equivalence relation on S.
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Noun
1. a person who is of equal standing with another in a group
(synonym) peer, match, compeer
(hypernym) person, individual, someone, somebody, mortal, human, soul
(hyponym) associate
(member-holonym) peer group
(derivation) compare, liken, equate
Verb
1. be identical or equivalent to; "One dollar equals 1,000 rubles these days!"
(synonym) be
(antonym) differ
(hyponym) equate, correspond
2. be equal to in quality or ability; "Nothing can rival cotton for durability"; "Your performance doesn't even touch that of your colleagues"; "Her persistence and ambition only matches that of her parents"
(synonym) touch, rival, match
(hypernym) compete, vie, contend
(verb-group) match, equalize, equalise, equate
(derivation) peer, match, compeer
3. make equal, uniform, corresponding, or matching; "let's equalize the duties among all employees in this office"; "The company matched the discount policy of its competitors"
(synonym) match, equalize, equalise, equate
(hypernym) change, alter, modify
(hyponym) homologize, homologise
(verb-group) touch, rival, match
Adjective
1. well matched; having the same quantity, value, or measure as another; "on equal terms"; "all men are equal before the law"
(antonym) unequal
(similar) close, tight
(see-also) commensurate
(attribute) equality
2. equal in amount or value; "like amounts"; "equivalent amounts"; "the same amount"; "gave one six blows and the other a like number"; "an equal number"; "the same number"
(synonym) like, equivalent, same

<character> "=", ASCII character 61.
Common names: ITU-T: equals; gets; takes. Rare: quadrathorpe; INTERCAL: half-mesh.
Equals is used in many languages as the assignment operator though earlier languages used ":=" ("becomes equal to") to avoid upsetting mathematicians with statements such as "x = x+1". It is also used in compounds such as "=", "==", "/=", "!=" for various comparison operators and in C's "+=", "*=" etc. which mimic the primitive operations of two-address code.
(1995-03-29)

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