injective love

# injective

## Definitions

• adj. Of, relating to, or being an injection: such that each element of the image (or range) is associated with at most one element of the preimage (or domain); inverse-deterministic.

## Etymologies

This term was introduced by Nicolas Bourbaki in his treatise Éléments de mathématique.

## Examples

• Never before have the drool buckets of freedom overflowed with such a steady stream of blooded flecked, hate infected spittle, injective and vitrioil.

Think Progress » U.S. General: Iran Attack Fraught With Risk, Bush Needs to ‘Make Diplomacy Work’

• In 2004 scientists rebuilt bladder muscles using injective stem cells.

CNN Transcript Nov 19, 2008

• Another important aspect of Dedekind's views about functions is that, with respect to the intended range of functions, he allows for arbitrary injective correlations between sets of numbers, indeed between sets of objects in general.

Dedekind's Contributions to the Foundations of Mathematics

• In Math Man's terms: you can write an injective relationship, but not a surjective one.

Archive 2007-03-01

• To give but the simplest example, Riemann was an enthusiastic follower of Dirichlet's idea that a function has to be conceived as an arbitrary injective correspondence between numerical values, be it representable by a formula or not; this meant leaving behind the times when a function was defined to be an analytic expression.

The Early Development of Set Theory

• It is a confoundyous injective so to say, Shaun the fiery boy shouted, naturally incensed, as he shook the red pepper out of his auricles.

Finnegans Wake

• The four companies include one that produces innovative plastic-injective molding, one is wood related, another is involved in high-tech assembly and another is aviation related, Heird told board members.

Local News from TimesDaily

• It may be possible to construct sets '' A '' and '' B '' for which there is no way to compare their cardinalities: there is no injective function from '' A '' into

Conservapedia - Recent changes [en]

• '' B '', nor any injective function from '' B '' into '' A ''.

Conservapedia - Recent changes [en]

• A and B for which there is no way to compare their cardinalities: there is no injective function from

Conservapedia - Recent changes [en]