inverseadj/ɪnˈvɝs/

• 1

  Opposite in effect, nature or order.

• 2

  Reverse, opposite in order.

• 3

  biologybotanynatural-sciencesInverted; having a position or mode of attachment the reverse of that which is usual.

• 4

  mathematicssciencesHaving 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.
• 5

  geometrymathematicssciencesThat 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.
• 6

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

inversenoun/ɪnˈvɝs/

• 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.
  • 321 is the inverse of 123.
• 2

  The result of an inversion

  • Uninstalling is the inverse of installation.
• 3

  mathematicssciencesThe result of an inversion

  • The inverse of a:b is b:a.
• 4

  geometrymathematicssciencesThe result of an inversion

  • 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

  human-scienceslogicmathematicsThe result of an inversion

  • "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.
  • Inversion is the inferring, from a given proposition, another proposition whose subject is the contradictory of the subject of the original proposition. The given proposition is called the Invertend, that which is inferred from it is termed the Inverse... The rule for Inversion is: Convert either the Obverted Converse or the Obverted Contrapositive.
• 6

  mathematicssciencesA 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 additive inverse of x is -x, as x-x=0, as 0 is the additive identity element.
• 7

  mathematicssciencesA 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 multiplicative inverse of x is x⁻¹, as x×x⁻¹=1, as 1 the multiplicative identity element.
• 8

  mathematicssciencesA 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 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.

inverseverb/ɪnˈvɝs/

• 1

  geographynatural-sciencessurveyingTo compute the bearing and distance between two points.