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The Collaborative International Dictionary
Equivalence

Equivalence \E*quiv"a*lence\, v. t. To be equivalent or equal to; to counterbalance. [R.]
--Sir T. Browne.

Equivalence

Equivalence \E*quiv"a*lence\ ([-e]*kw[i^]v"[.a]*lens), n. [Cf. F. ['e]quivalence, LL. aequivalentia.]

  1. The condition of being equivalent or equal; equality of worth, value, signification, or force; as, an equivalence of definitions.

  2. Equal power or force; equivalent amount.

  3. (Chem.)

    1. The quantity of the combining power of an atom, expressed in hydrogen units; the number of hydrogen atoms can combine with, or be exchanged for; valency. See Valence.

    2. The degree of combining power as determined by relative weight. See Equivalent, n., 2. [R.]

Douglas Harper's Etymology Dictionary
equivalence

1540s, from French équivalence, from Medieval Latin aequivalentia, from Late Latin aequivalentem "equivalent" (see equivalent). Related: Equivalency (1530s).

Wiktionary
equivalence

n. 1 (context uncountable English) The condition of being equivalent or essentially equal. 2 (context countable mathematics English) An equivalence relation; ≡; ~ 3 (context uncountable logic English) The relationship between two propositions that are either both true or both false. 4 (context chemistry English) The quantity of the combining power of an atom, expressed in hydrogen units; the number of hydrogen atoms can combine with, or be exchanged for; valency. 5 a Boolean operation that is TRUE when both input variables are TRUE but otherwise FALSE; the XNOR function. 6 (cx geometry English) A number in intersection theory. A positive-dimensional variety sometimes behaves formally as if it were a finite number of points; this number is its equivalence. vb. (context transitive English) To be equivalent or equal to; to counterbalance.

WordNet
equivalence
  1. n. a state of being essentially equal or equivalent; equally balanced; "on a par with the best" [syn: equality, equation, par]

  2. essential equality and interchangeability [ant: nonequivalence]

  3. qualities that are comparable; "no comparison between the two books"; "beyond compare" [syn: comparison, compare, comparability]

Wikipedia
Equivalence

Equivalence or equivalent may refer to:

  • In chemistry:
    • Equivalent (chemistry)
    • Equivalence point
    • Equivalent weight
  • In computing:
    • Turing equivalence (theory of computation)
  • In ethics:
    • Moral equivalence
  • In history:
    • The Equivalent, a sum paid from England to Scotland at their Union in 1707.
  • In logic:
    • Logical equivalence
    • Logical biconditional
  • In mathematics:
    • Equivalence relation
    • Equivalence of categories
    • Equivalent infinitesimal, a type of infinitesimals.
    • Improper rotation equivalence
    • Matrix equivalence
    • Rotational equivalence
    • Probabilistic equivalence in experimental designs, using the mechanism of random assignment to groups so that we know exactly the chance that a difference will be found between two groups.
  • In patent law:
    • Doctrine of equivalents
  • In music:
    • Equivalence class (music)
  • In relativity:
    • Equivalence principle
  • In translation:
    • Dynamic and formal equivalence
  • In international trade:
    • Equivalence (trade), a requirement imposed on WTO Member countries regarding acceptable sanitary protection measures.
  • In art
    • Equivalent VIII, a minimalist sculpture by Carl Andre consisting of a collection of bricks.
    • Equivalents, a series of photographs of clouds taken by Alfred Stieglitz between 1925 and 1934
Equivalence (measure theory)

In mathematics, and specifically in measure theory, equivalence is a notion of two measures being qualitatively similar. Specifically, the two measures agree on which events have measure zero.

Equivalence (trade)

Equivalence is a term applied by the Uruguay Round Agreement on the Application of Sanitary and Phytosanitary Measures. WTO Member countries shall accord acceptance to the Sanitary and Phytosanitary (SPS) measures of other countries (even if those measures differ from their own or from those used by other Member countries trading in the same product) if the exporting country demonstrates to the importing country that its measures achieve the importer’s appropriate level of sanitary and phytosanitary protection.

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) equivalence which additionally means that the two parse trees are reasonably similar in that the same semantic interpretation can be assigned to both.

Vijay-Shanker and Weir (1994) demonstrates that Linear Indexed Grammars, Combinatory Categorial Grammars, Tree-adjoining Grammars, and Head Grammars are weakly equivalent formalisms, in that they all define the same string languages.

On the other hand, if the two grammars generate the same set of derivation trees (or more generally, the same set of abstract syntactic objects), then the two languages are strongly equivalent. Chomsky (1963) introduces the notion of strong equivalence, and argues that only strong equivalence is relevant when comparing grammar formalisms. Kornai and Pullum (1990) and Miller (1994) offer a refined notion of strong equivalence that allows for isomorphic relationships between the syntactic analyses given by different formalisms. Yoshinaga, Miyao, and Tsujii (2002) offers a proof of the strong equivalency of the LTAG and HPSG formalisms.

Usage examples of "equivalence".

Outside, in the warehouse of time, the adaptor I look for must bridge the paradoxical equivalence of message and notch, caprice and complexity, theme and variation.

The doctrines of the convertibility or specific equivalence of the various forms of force, and of its conservation, which is its logical consequence, are very generally accepted, as I believe, at the present time, among physicists.

Even the most ardent scientific materialists acknowledge that we do not presently know enough about the intricate functioning of the brain to establish the equivalence of specific, subjective mental processes with specific, objective brain processes.

In any normalcy of combat, assuming the equivalence of the units, the comparability of weaponry, the competence of the commanders, and such, Ar would be doomed.

Tibet had something on her mind she wanted to express, something more vital than chocolate ice cream-but she needed, if not a pretext, an equivalence.

A block of it sat on the table, and she passed it over to Art and went back to arguing with her friend, while Coyote bartered on with another man, talking about teeter-totters and pots, kilograms and calories, equivalence and overburden, cubic meters per second and picobars, haggling expertly and getting a lot of laughs from the people listening.

That's what the equivalence principle is telling us, that acceleration and gravity can cancel out, if they're set up to be equal and opposite.

They thought the mine shafts there would be a good place to establish a new lower boundary for the equivalence principle.

Its change of course must be executed by means of equivalences and locational surrogates, not by applications of actual thermodynamic thrust along some particular spatial vector.

III to be able to include a note 'On translation' in which the matter of equivalences and my uses may be made clearly.

The principle of equivalence must hi this case apply, and a rigorous requital is necessary.

To appreciate its importance, we need only imagine Einstein trying to formulate general relativity without having had the happy thought he experienced in the Bern patent office in 1907 that led him to the principle of equivalence.

Half a dozen devices on the ship, including all its positional and navigation systems, could be explained very well in one simple theory-// Aybee were willing to abandon the principle of equivalence.

This is a new Principle of Equivalence, a new symmetry between observers.

The logical equivalence of Newton's laws and the principle of least action is a mathematical theorem.