equivalence in the PONS Dictionary

Monolingual examples (not verified by PONS Editors)

English
Because of a non-uniformity of some rank condition, the equivalence method is unsuccessful in handling this particular equivalence problem.
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This notion of sameness is often formalized using an equivalence relation.
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Because elementary row operations are reversible, row equivalence is an equivalence relation.
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Therefore, the proportions equal if and only if the equivalence condition holds, as was claimed.
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Namely, a function (of "x") must be chosen within every (or at least almost every) equivalence class.
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The application of substantial equivalence has been criticized.
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However, on some vehicles and scanners it will show up as lambda or equivalence ratio.
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A cofibration which is also a weak equivalence is also known as a trivial (or acyclic) cofibration.
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It is also the only relation that is both a partial order and an equivalence relation.
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It is easily shown that this is an equivalence relation.
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