Equivalence or Equivalent may refer to:
Arts and entertainment
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Album-equivalent unit
The album-equivalent unit, or album equivalent, is a measurement unit in music industry to define the consumption of music that equals the purchase of one album copy. This consumption includes streaming and song downloads in addition to traditi ...
, a measurement unit in the music industry
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Equivalence class (music)
In music theory, equivalence class is an equality ( =) or equivalence between properties of sets (unordered) or twelve-tone rows (ordered sets). A relation rather than an operation, it may be contrasted with derivation.Schuijer (2008). ''Analy ...
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Equivalent VIII
''Equivalent VIII'', 1966, 120 Firebricks, 5 x 27 x 90 ¼ inches, occasionally referred to as ''The Bricks'', is the last of a series of minimalist sculptures by Carl Andre. The sculpture consists of 120 fire bricks, arranged in two layers, in a ...
'', or ''The Bricks'', a minimalist sculpture by Carl Andre
*''
Equivalents'', a series of photographs of clouds by Alfred Stieglitz
Language
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Dynamic and formal equivalence
The terms dynamic equivalence and formal equivalence, coined by Eugene Nida, are associated with two dissimilar translation approaches that are employed to achieve different levels of literalness between the Translation#Source and target texts ...
in translation
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Equivalence (formal languages)
In formal language theory, weak equivalence of two grammars means they generate the same set of strings, i.e. that the formal language they generate is the same. In compiler theory the notion is distinguished from strong (or structural) equivalenc ...
Law
*The
doctrine of equivalents
The doctrine of equivalents is a legal rule in many (but not all) of the world's patent systems that allows a court to hold a party liable for patent infringement even though the infringing device or process does not fall within the literal scope ...
in patent law
*The equivalence principle as if impacts on the
direct effect of European Union law
In European Union law, direct effect is the principle that Union law may, if appropriately framed, confer rights on individuals which the courts of member states of the European Union are bound to recognise and enforce.
Direct effect is not e ...
Logic
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Logical equivalence
In logic and mathematics, statements p and q are said to be logically equivalent if they have the same truth value in every model. The logical equivalence of p and q is sometimes expressed as p \equiv q, p :: q, \textsfpq, or p \iff q, depending on ...
, where two statements are logically equivalent if they have the same logical content
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Material equivalence
Material is a substance or mixture of substances that constitutes an object. Materials can be pure or impure, living or non-living matter. Materials can be classified on the basis of their physical and chemical properties, or on their geolog ...
, a relationship where the truth of either one of the connected statements requires the truth of the other
Science and technology
Chemistry
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Equivalent (chemistry)
An equivalent (symbol: officially equiv; unofficially but often Eq) is the amount of a substance that reacts with (or is ''equivalent'' to) an arbitrary amount (typically one mole) of another substance in a given chemical reaction. It is an arch ...
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Equivalence point
The equivalence point, or stoichiometric point, of a chemical reaction is the point at which chemically equivalent quantities of reactants have been mixed. For an acid-base reaction the equivalence point is where the moles of acid and the moles of ...
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Equivalent weight
In chemistry, equivalent weight (also known as gram equivalent) is the mass of one equivalent, that is the mass of a given substance which will combine with or displace a fixed quantity of another substance. The equivalent weight of an element is ...
Computing
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Turing equivalence (theory of computation)
In computability theory, a system of data-manipulation rules (such as a computer's instruction set, a programming language, or a cellular automaton) is said to be Turing-complete or computationally universal if it can be used to simulate any Tur ...
, or Turing completeness
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Semantic equivalence {{about, semantic equivalence of metadata, the concept in mathematical logic, Logical equivalence
In computer metadata, semantic equivalence is a declaration that two data elements from different vocabularies contain data that has similar meaning. ...
in computer metadata
Economics
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Certainty equivalent
A risk premium is a measure of excess return that is required by an individual to compensate being subjected to an increased level of risk. It is used widely in finance and economics, the general definition being the expected risky Rate of retur ...
, a principle related to risk premium
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Economic equivalence, a concept in engineering economics
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Ricardian equivalence
The Ricardian equivalence proposition (also known as the Ricardo–de Viti–Barro equivalence theorem) is an economic hypothesis holding that consumers are forward-looking and so internalize the government's budget constraint when making their con ...
, or Ricardo–de Viti–Barro equivalence, a proposition in economics
Mathematics
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Equality (mathematics)
In mathematics, equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object. The equality be ...
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Equivalence relation
In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive. The equipollence relation between line segments in geometry is a common example of an equivalence relation.
Each equivalence relation ...
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Equivalence class
In mathematics, when the elements of some set S have a notion of equivalence (formalized as an equivalence relation), then one may naturally split the set S into equivalence classes. These equivalence classes are constructed so that elements a ...
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Equivalence of categories
In category theory, a branch of abstract mathematics, an equivalence of categories is a relation between two categories that establishes that these categories are "essentially the same". There are numerous examples of categorical equivalences fro ...
, in category theory
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Equivalent infinitesimal
In calculus and other branches of mathematical analysis, limits involving an algebraic combination of functions in an independent variable may often be evaluated by replacing these functions by their limits; if the expression obtained after this su ...
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Matrix equivalence In linear algebra, two rectangular ''m''-by-''n'' matrices ''A'' and ''B'' are called equivalent if
:B = Q^ A P
for some invertible ''n''-by-''n'' matrix ''P'' and some invertible ''m''-by-''m'' matrix ''Q''. Equivalent matrices represent the same ...
in linear algebra
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Turing equivalence (recursion theory)
In computer science and mathematical logic the Turing degree (named after Alan Turing) or degree of unsolvability of a set of natural numbers measures the level of algorithmic unsolvability of the set.
Overview
The concept of Turing degree is fund ...
Physics
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Equivalence principle
In the theory of general relativity, the equivalence principle is the equivalence of gravitational and inertial mass, and Albert Einstein's observation that the gravitational "force" as experienced locally while standing on a massive body (suc ...
in the theory of general relativity
Other uses
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Equivalence (trade) Equivalence is a term applied by the Uruguay Round Agreement on the Application of Sanitary and Phytosanitary Measures. World Trade Organization (WTO) Member countries shall accord acceptance to the Sanitary and Phytosanitary (SPS) measures of othe ...
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Moral equivalence
Moral equivalence is a term used in political debate, usually to deny that a moral comparison can be made of two sides in a conflict, or in the actions or tactics of two sides.
The term had some currency in polemic debates about the Cold War, an ...
, a term used in political debate
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The Equivalent
The Equivalent was a sum negotiated at £398,085 10s. 0d. paid to Scotland by the English Government under the terms of the Acts of Union 1707. Proposals for it first emerged in the course of abortive Union negotiations in 1702 to 1703.
The Equiva ...
, a sum paid from England to Scotland at their Union in 1707
See also
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≡ (disambiguation)
The symbol ≡ (triple bar) is used in science and mathematics with several different meanings. It may refer to the following:
Mathematics
* Identity (mathematics), identity of two mathematical expressions
* Logical biconditional, in logic (if ...
*Equivalency,
a National Collegiate Athletic Association concept
{{disambiguation