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Definitions of equivalence:

noun:   essential equality and interchangeability
noun:   a state of being essentially equal or equivalent; equally balanced
noun:   qualities that are comparable

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Alternative Terms
mathematics set equivalence-relation subset equinumerosity surjective-function category-mathematics map-mathematics epimorphism congruence-relation modular-arithmetic integer parity-mathematics rational-number function if-and-only-if image-mathematics kernel-set-theory group subgroup coset cardinality infinity normal-subgroup conjugacy-class continuous-function natural-language-recognition disjoint-sets invariant-mathematics isomorphism-theorem up-to music octave transposition-music inversion enharmonic equivalence-partitioning equivalent canonical-matrix quotient-topology pattern cocycle-class forwarding-equivalence-class s-knot necklace-combinatorics birational-invariant resolution-mathematics fr-chet-surface combinatorial-class projection-set-theory

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