Meaning of Inverse | Babel Free

Definitions

1. An inverted state: a state in which something has been turned (properly) upside down or (loosely) inside out or backwards.
2. The result of an inversion
3. The reverse of any procedure or process.
4. A ratio etc. in which the antecedents and consequents are switched.
5. The result of a circle inversion; the set of all such points; the curve described by such a set.
6. The non-truth-preserving proposition constructed by negating both the premise and conclusion of an initially given proposition.
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:
8. The negative of a given number.
9. One divided by a given number.
10. A second function which, when combined with the initially given function, yields as its output any term inputted into the first function.
11. A morphism which is both a left inverse and a right inverse.
12. 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.
13. A grammatical number marking that indicates the opposite grammatical number (or numbers) of the default number specification of noun class.

Equivalents

Examples

“Cowgirl is the inverse of missionary.”

“321 is the inverse of 123.”

“Uninstalling is the inverse of installation.”

“The inverse of a:b is b:a.”

“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.”

“"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.”

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

“The multiplicative inverse of x is x⁻¹, as x×x⁻¹=1, as 1 the multiplicative identity element.”

“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.”

“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.”

“The tailleur never mentions the words ‘Black’ or ‘Inverse’, but always says that Red wins or Red loses, and that the colour wins or the colour loses.”

CEFR level