injective

1 9.9

A function that gives a different output for each input

adjective
/ɪnˈdʒɛktɪv/

Specialized

: inyectiva

So it's F is bijective if it's both injective and surjective.

So we say a function F from A to B is injective.

Examples

This would be a one to one function or an injective function, right?
The first thing that this construction here is injective, this map.
So this means injective and surjective.
In mathematics, a function is injective if it assigns a unique output to every input.
An example of an injective function is f(x) = 2x, where each input produces a distinct output.
To be classified as injective, a function must ensure that no two different inputs result in the same output.

Surface Forms

injective positive

Morphology

injective = inject (opaque) = inject + ive

The adjective 'injective' is a technical mathematical term (one-to-one mapping) that is not directly derivable from the everyday meaning of 'inject' for an average B1 learner.

Etymology

The word injective comes from the parts in- 'in' and ject 'throw', the same root you see in common words like inject and eject. So, an injective function is like 'throwing' each input to its own place, with no two inputs sent to the same output.