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What is the difference between inverse and reciprocal?

inverse | reciprocal | Synonyms |

Reciprocal is a synonym of inverse.



In lang=en terms the difference between inverse and reciprocal

is that inverse is a statement constructed from the negatives of the premise and conclusion of some other statement: ~p → ~q is the inverse of p → q while reciprocal is used to denote different kinds of mutual relation; often with reference to the substitution of reciprocals for given quantities.

As adjectives the difference between inverse and reciprocal

is that inverse is opposite in effect or nature or order while reciprocal is of a feeling, action or such: mutual, uniformly felt or done by each party towards the other or others; two-way.

As nouns the difference between inverse and reciprocal

is that inverse is the opposite of a given, due to contrary nature or effect while reciprocal is of a number, the number obtained by dividing 1 by the given number; the result of exchanging the numerator and the denominator of a fraction.

As a verb inverse

is to compute the bearing and distance between two points.

inverse

English

Adjective

(-)
  • Opposite in effect or nature or order
  • reverse, opposite in order
  • (botany) Inverted; having a position or mode of attachment the reverse of that which is usual.
  • (mathematics) Having the properties of an inverse; said with reference to any two operations, which, when both are performed in succession upon any quantity, reproduce that quantity.
  • Multiplication is the inverse operation to division.
  • (linguistics, Kiowa-Tanoan) A grammatical number marking that indicates the opposite grammatical number (or numbers) of the default number specification of noun class.
  • (category theory) A morphism which is both a left inverse and a right inverse.
  • Derived terms

    * inverse function * inversely

    Noun

    (en noun)
  • The opposite of a given, due to contrary nature or effect.
  • :: ''Deposing is the inverse of installing, and vice versa
  • The reverse version of a procedure.
  • Removing one's shoes is the inverse of putting one's shoes on
  • (mathematics) The inverse of an element x'' with respect to a binary operation is an element that when combined with ''x yields the appropriate identity element.
  • The additive inverse of x is -x as, x + -x = 0 where 0 is the additive identity element.
    The multiplicative inverse of x is x-1 as, x * x-1 = 1 where 1 is the multiplicative identity element.
    ''The compositional inverse of a function f is f–1 as, f f–1 is the identity function (ie f–1(f(a)) = a for all a).
  • (logic) A statement constructed from the negatives of the premise and conclusion of some other statement: ~p ? ~q is the inverse of p ? q.
  • Verb

    (invers)
  • (surveying) To compute the bearing and distance between two points.
  • Antonyms

    * compute (a point).

    Anagrams

    * ----

    reciprocal

    English

    Adjective

    (-)
  • Of a feeling, action or such: mutual, uniformly felt or done by each party towards the other or others; two-way.
  • reciprocal''' love; '''reciprocal duties
  • * Shakespeare
  • Let our reciprocal vows be remembered.
  • Mutually interchangeable.
  • * I. Watts
  • These two rules will render a definition reciprocal with the thing defined.
  • (grammar) Reflexive; applied to pronouns and verbs, but sometimes limited to pronouns that express mutual action.
  • (math) Used to denote different kinds of mutual relation; often with reference to the substitution of reciprocals for given quantities.
  • contrary or opposite
  • Synonyms

    * mutual, two-way * contrary, opposite, converse, inverse, inverted, cross * See also

    Noun

    (en noun)
  • (arithmetic) Of a number, the number obtained by dividing 1 by the given number; the result of exchanging the numerator and the denominator of a fraction.
  • 0.5 is the reciprocal of 2.

    Synonyms

    * (in arithmetic) multiplicative inverse