inverse

名词 n. 动词 v. 形容词 adj.
中文释义
美 /ɪnˈvɝs/|/ˈɪnvɝs/

英文释义

名词 n.
  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. The result of an inversion; The reverse of any procedure or process.
    — Uninstalling is the inverse of installation.
  3. The result of an inversion; A ratio etc. in which the antecedents and consequents are switched.
    — The inverse of a:b is b:a.
  4. 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.
  5. 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.
  6. 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.
  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:; 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.
  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:; 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.
  9. A morphism which is both a left inverse and a right inverse.
  10. 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.
  11. A grammatical number marking that indicates the opposite grammatical number (or numbers) of the default number specification of noun class.
动词 v.
  1. To compute the bearing and distance between two points.
形容词 adj.
  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.
  6. Whose every element has an inverse (morphism which is both a left inverse and a right inverse). not-comparable

词形变化

inverses plural inverses present,singular,third-person inversing participle,present inversed participle,past inversed past

词汇关系

近义词
additive inverse multiplicative inverse compositional inverse inverse point inverse curve
反义词
compute
衍生词
direct-inverse marking inverse agonist inverse attraction inverse number inverse Pythagorean theorem renverse coinverse pseudoinverse
相关词
inversion inversional inversive reverse reversion reversional reversive obverse converse contraposition

词源

词源 1
Recorded since 1440, from Latin inversus, the past participle of invertere (“to invert”), itself from in- (“against, in”) + vertere (“to turn”).
词源 2
Recorded since 1440, from Latin inversus, the past participle of invertere (“to invert”), itself from in- (“against, in”) + vertere (“to turn”).
词源 3
Recorded since 1440, from Latin inversus, the past participle of invertere (“to invert”), itself from in- (“against, in”) + vertere (“to turn”).
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