VS.

Inverse vs. Reciprocal

Published:
Views: 6
  • Inverse (adjective)

    Opposite in effect, nature or order.

  • Inverse (adjective)

    Reverse, opposite in order.

  • Inverse (adjective)

    Inverted; having a position or mode of attachment the reverse of that which is usual.

  • Inverse (adjective)

    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."

  • Inverse (adjective)

    That has the property of being an inverse (the result of a circle inversion of a given point or geometrical figure); that is constructed by circle inversion.

    "A circle inversion maps a given generalized circle to its inverse generalized circle."

  • Inverse (adjective)

    Whose every element has an inverse (morphism which is both a left inverse and a right inverse).

  • Inverse (noun)

    An inverted state: a state in which something has been turned upside down or inside out or backwards.

    "Cowgirl is the inverse of missionary."

    "321 is the inverse of 123."

  • Inverse (noun)

    The result of an inversion, particularly:

  • Inverse (noun)

    The reverse of any procedure or process.

    "Uninstalling is the inverse of installation."

  • Inverse (noun)

    A ratio etc. in which the antecedents and consequents are switched.

    "The inverse of a:b is b:a."

  • Inverse (noun)

    The result of a circle inversion; the set of all such points; the curve described by such a set.

    "The inverse P‘ of a point P is the point on a ray from the center O through P such that OP × OP‘ = r² or the set of all such points."

  • Inverse (noun)

    A second element which negates a first; in a binary operation, the element for which the binary operation—when applied to both it and an initially given element—yields the operation's identity element, specifically:

  • Inverse (noun)

    The non-truth-preserving proposition constructed by negating both the premise and conclusion of an initially given proposition.

    ""Anything that isn't a dog doesn't go to heaven" is the inverse of "All dogs go to heaven." More generally, \lnot\mathsf{p}\to\lnot\mathsf{q} is the inverse of \mathsf{p}\to\mathsf{q} and is equivalent to the converse proposition \mathsf{q}\to\mathsf{p}."

  • Inverse (noun)

    The negative of a given number.

    "The additive inverse of x is -x, as x-x=0, as 0 is the additive identity element."

  • Inverse (noun)

    One divided by a given number.

    "The multiplicative inverse of x is x^{-1}, as x \times x^{-1}=1, as 1 the multiplicative identity element."

  • Inverse (noun)

    A morphism which is both a left inverse and a right inverse.

  • Inverse (noun)

    The winning of the coup in a game of rouge et noir by a card of a color different from that first dealt; the area of the table reserved for bets upon such an outcome.

  • Inverse (noun)

    A grammatical number marking that indicates the opposite grammatical number (or numbers) of the default number specification of noun class.

  • Inverse (verb)

    To compute the bearing and distance between two points.

  • Reciprocal (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"

  • Reciprocal (adjective)

    Mutually interchangeable.

  • Reciprocal (adjective)

    expressing mutual action, applied to pronouns and verbs; also in a broad sense: reflexive

  • Reciprocal (adjective)

    Used to denote different kinds of mutual relation; often with reference to the substitution of reciprocals for given quantities.

  • Reciprocal (adjective)

    Done, given, felt, or owed in return

    "a reciprocal invitation to lunch"

  • Reciprocal (noun)

    The number obtained by dividing 1 by another given number; the result of exchanging the numerator and the denominator of a fraction.

    "0.5 is the reciprocal of 2."

  • Reciprocal (noun)

    A construction expressing mutual action.

Wiktionary
  • Inverse (adjective)

    Opposite in order, relation, or effect; reversed; inverted; reciprocal; - opposed to direct.

  • Inverse (adjective)

    Inverted; having a position or mode of attachment the reverse of that which is usual.

  • Inverse (adjective)

    Opposite in nature and effect; - said with reference to any two operations, which, when both are performed in succession upon any quantity, reproduce that quantity; as, multiplication is the inverse operation to division. The symbol of an inverse operation is the symbol of the direct operation with -1 as an index. Thus sin-1 x means the arc or angle whose sine is x.

  • Inverse (noun)

    That which is inverse.

  • Reciprocal (adjective)

    Recurring in vicissitude; alternate.

  • Reciprocal (adjective)

    Done by each to the other; interchanging or interchanged; given and received; due from each to each; mutual; as, reciprocal love; reciprocal duties.

  • Reciprocal (adjective)

    Mutually interchangeable.

  • Reciprocal (adjective)

    Reflexive; - applied to pronouns and verbs, but sometimes limited to such pronouns as express mutual action.

  • Reciprocal (adjective)

    Used to denote different kinds of mutual relation; often with reference to the substitution of reciprocals for given quantities. See the Phrases below.

  • Reciprocal (noun)

    That which is reciprocal to another thing.

  • Reciprocal (noun)

    The quotient arising from dividing unity by any quantity; thus ¼ is the reciprocal of 4; 1/(a + b) is the reciprocal of a + b. The reciprocal of a fraction is the fraction inverted, or the denominator divided by the numerator.

Webster Dictionary
  • Inverse (noun)

    something inverted in sequence or character or effect;

    "when the direct approach failed he tried the inverse"

  • Inverse (adjective)

    reversed (turned backward) in order or nature or effect

  • Inverse (adjective)

    opposite in nature or effect or relation to another quantity ;

    "a term is in inverse proportion to another term if it increases (or decreases) as the other decreases (or increases)"

  • Reciprocal (noun)

    something (a term or expression or concept) that has a reciprocal relation to something else;

    "risk is the reciprocal of safety"

  • Reciprocal (noun)

    (mathematics) one of a pair of numbers whose product is 1: the reciprocal of 2/3 is 3/2; the multiplicative inverse of 7 is 1/7

  • Reciprocal (noun)

    hybridization involving a pair of crosses that reverse the sexes associated with each genotype

  • Reciprocal (adjective)

    concerning each of two or more persons or things; especially given or done in return;

    "reciprocal aid"

    "reciprocal trade"

    "mutual respect"

    "reciprocal privileges at other clubs"

  • Reciprocal (adjective)

    of or relating to or suggestive of complementation;

    "interchangeable electric outlets"

  • Reciprocal (adjective)

    of or relating to the multiplicative inverse of a quantity or function;

    "the reciprocal ratio of a:b is b:a"

Princeton's WordNet

Popular Comparisons

Latest Comparisons

Trending Comparisons