What is the difference between inverse and reciprocal?
inverse | reciprocal | Synonyms |
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.
(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.
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.
(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.
(logic) A statement constructed from the negatives of the premise and conclusion of some other statement: ~p ? ~q is the inverse of p ? q.
(surveying) To compute the bearing and distance between two points.
Of a feeling, action or such: mutual, uniformly felt or done by each party towards the other or others; two-way.
* Shakespeare
Mutually interchangeable.
* I. Watts
(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
(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.
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
(-)- Multiplication is the inverse operation to division.
Derived terms
* inverse function * inverselyNoun
(en noun)- Removing one's shoes is the inverse of putting one's shoes on
- 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).
Verb
(invers)Antonyms
* compute (a point).Anagrams
* ----reciprocal
English
Adjective
(-)- reciprocal''' love; '''reciprocal duties
- Let our reciprocal vows be remembered.
- These two rules will render a definition reciprocal with the thing defined.
Synonyms
* mutual, two-way * contrary, opposite, converse, inverse, inverted, cross * See alsoNoun
(en noun)- 0.5 is the reciprocal of 2.