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Inverse
Definitions
- 1 Opposite in effect, nature or order. not-comparable
- 2 Reverse, opposite in order. not-comparable
- 3 Inverted; having a position or mode of attachment the reverse of that which is usual. not-comparable
- 4 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. not-comparable
"Multiplication is the inverse operation to division."
- 5 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. not-comparable
"A circle inversion maps a given generalized circle to its inverse generalized circle."
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- 6 Whose every element has an inverse (morphism which is both a left inverse and a right inverse). not-comparable
- 1 reversed (turned backward) in order or nature or effect wordnet
- 2 opposite in nature or effect or relation to another quantity wordnet
- 1 An inverted state: a state in which something has been turned (properly) upside down or (loosely) inside out or backwards.
"Cowgirl is the inverse of missionary."
- 2 something inverted in sequence or character or effect wordnet
- 3 The result of an inversion; The reverse of any procedure or process.
"Uninstalling is the inverse of installation."
- 4 The result of an inversion; A ratio etc. in which the antecedents and consequents are switched.
"The inverse of a:b is b:a."
- 5 The result of an inversion; 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."
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- 6 The result of an inversion; 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, ¬ mathsf p→¬ mathsf q is the inverse of mathsf p→ mathsf q and is equivalent to the converse proposition mathsf q→ mathsf p."
- 7 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:; The negative of a given number.
"The additive inverse of x is -x, as x-x=0, as 0 is the additive identity element."
- 8 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:; One divided by a given number.
"The multiplicative inverse of x is x⁻¹, as x×x⁻¹=1, as 1 the multiplicative identity element."
- 9 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:; A second function which, when combined with the initially given function, yields as its output any term inputted into the first function.
"The compositional inverse of a function f is f⁻¹, as ff⁻¹= mathit I, as mathit I is the identity function. That is, ∀x,f(f⁻¹(x))= mathit I(x)=x."
- 10 A morphism which is both a left inverse and a right inverse.
- 11 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.
"If the player... be determined to try his luck on the inverse, he must place his money on a yellow circle, or rather a collection of circles, situated at the extremity of the table."
- 12 A grammatical number marking that indicates the opposite grammatical number (or numbers) of the default number specification of noun class.
- 1 To compute the bearing and distance between two points.
Etymology
Recorded since 1440, from Latin inversus, the past participle of invertere (“to invert”), itself from in- (“in, on”) + vertere (“to turn”).
Recorded since 1440, from Latin inversus, the past participle of invertere (“to invert”), itself from in- (“in, on”) + vertere (“to turn”).
Recorded since 1440, from Latin inversus, the past participle of invertere (“to invert”), itself from in- (“in, on”) + vertere (“to turn”).
See also for "inverse"
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