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Equivalent vs Corollary - What's the difference?

equivalent | corollary | Related terms |

Equivalent is a related term of corollary.


As nouns the difference between equivalent and corollary

is that equivalent is equivalent while corollary is something given beyond what is actually due; something added or superfluous.

As an adjective equivalent

is equivalent.

equivalent

English

(wikipedia equivalent)

Alternative forms

* (archaic)

Adjective

(en adjective)
  • Similar or identical in value, meaning or effect; virtually equal.
  • * South
    • For now to serve and to minister, servile and ministerial, are terms equivalent .
  • * {{quote-magazine, date=2012-03
    • , author=(Henry Petroski) , title=Opening Doors , volume=100, issue=2, page=112-3 , magazine= citation , passage=A doorknob of whatever roundish shape is effectively a continuum of levers, with the axis of the latching mechanism—known as the spindle—being the fulcrum about which the turning takes place. Applying a force tangential to the knob is essentially equivalent to applying one perpendicular to a radial line defining the lever.}}
  • (mathematics) Of two sets, having a one-to-one correspondence; equinumerous.
  • * Comprehensive MCQ's in Mathematics , page 3:
    • Finite sets A and B are equivalent sets only when n''(A) = ''n''(B) ''i.e. , the number of elements in A and B are equal.
  • * 1950 , E. Kamke, Theory of Sets , page 16:
    • All enumerable sets are equivalent to each other, but not to any finite set.
  • * 2000 , N. L. Carothers, Real Analysis , page 18:
    • Equivalent' sets should, by rights, have the same "number" of elements. For this reason we sometimes say that '''equivalent sets have the same ''cardinality .
  • * 2006 , Joseph Breuer, Introduction to the Theory of Sets , page 41:
    • The equivalence theorem: If both M is equivalent''' to a subset N1 of N and N is '''equivalent''' to a subset M1 of M, then the sets M and N are '''equivalent to each other.
  • (mathematics) Relating to the corresponding elements of an equivalence relation.
  • (chemistry) Having the equal ability to combine.
  • (cartography) Of a map, equal-area.
  • (geometry) Equal in measure but not admitting of superposition; applied to magnitudes.
    • A square may be equivalent to a triangle.

    Usage notes

    * (en-usage-equal)

    Derived terms

    * (l)

    Noun

    (en noun)
  • Anything that is virtually equal to something else, or has the same value, force, etc.
  • * Macaulay
    • He owned that, if the Test Act were repealed, the Protestants were entitled to some equivalent .
  • (chemistry) An equivalent weight.

    • Verb

    (en verb)
  • To make equivalent to; to equal.
    • ----

    corollary

    English

    Noun

    (corollaries)
  • Something given beyond what is actually due; something added or superfluous.
  • Something which occurs a fortiori , as a result of another effort without significant additional effort.
    • Finally getting that cracked window fixed was a nice corollary of redoing the whole storefont.
  • (mathematics, logic) A proposition which follows easily from the proof of another proposition.
    • We have proven that this set is finite and well ordered; as a corollary , we now know that there is an order-preserving map from it to the natural numbers.

    External links

    * *