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# equivalence

[ ih-**kwiv**-*uh*-l*uh*ns ee-kw*uh*-**vey**-l*uh*ns ]

## noun

- the state or fact of being equivalent; equality in value, force, significance, etc.
- an instance of this; an equivalent.
*Chemistry.*the quality of having equal valence.*Logic, Mathematics.*- Also called material implication. the relation between two propositions such that the second is not false when the first is true.
- Also called
**material equivalence.**the relation between two propositions such that they are either both true or both false. - the relation between two propositions such that each logically implies the other.

## adjective

- (of a logical or mathematical relationship) reflexive, symmetrical, and transitive.

equivalence

/ ɪˈkwɪvələns /

## noun

- the state of being equivalent or interchangeable
- maths logic
- the relationship between two statements, each of which implies the other
- Also calledbiconditional the binary truth-function that takes the value
*true*when both component sentences are true or when both are false, corresponding to English*if and only if*. Symbol: ≡ or ↔, as in –(*p*∧*q*) ≡ –*p*∨ –*q*

## Other Words From

**none·quiva·lence**noun

## Word History and Origins

Origin of equivalence^{1}

*Middle French*<

*Medieval Latin*

*aequivalentia,*equivalent to

*Latin*

*aequivalent-*equivalent +

*-ia*-ia; -ence

## Example Sentences

With subtlety and a solemnity reflecting key events in Claire’s past, Evans offers a powerful refusal of the false equivalence.

There is no decision on so-called equivalence, which would allow firms to sell their services into the single market from the City of London.

Many scientists suspect that the new theory will violate the equivalence principle by an amount too small to have been detected with tests performed thus far.

Last year, the EU withdrew equivalence from Switzerland, effectively prohibiting the trading of EU-listed securities there.

Riehl hopes that their reframing will make higher category theory accessible to more mathematicians while offering new insights into why the mathematics of equivalence is so powerful.

Bratton might have said something that was closer to a real-world moral equivalence.

He was trying, I think, to demonstrate balance and equivalence.

And no one is better equipped to refute this false equivalence than Mack herself.

The equivalence between comic books and Scripture is telling of how seriously canon is taken by these fans.

Moral equivalence and malaise, rather than red-hot ideology, motivates Haydon.

The several forms of energy are interconvertible, and possess an exact quantitative equivalence.

Written language is thus a point-to-point equivalence, to borrow a mathematical phrase, to its spoken counterpart.

Those of most other countries have either not yet been fully studied or their exact equivalence remains undetermined.

The experiments of Rumford, Davy, and Joule were instrumental in establishing the equivalence of mechanical energy and heat.

The exact equivalence between the mechanical energy lost and the heat produced is the thing to be especially noticed here.

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