injectiveness

9.9

A property of a function that never gives the same result for two different inputs

noun
/ɪnˈdʒɛktɪvnəs/

Specialized

: inyectividad

Understanding injectiveness is crucial when studying the properties of different types of mappings.

Examples

To prove injectiveness, we need to show that each output is unique.
The theorem depends on the injectiveness of the initial transformation.
The mathematician discussed the injectiveness of the function with her students.
The injectiveness of the function is crucial for its analysis.
The mathematician discussed the injectiveness of the function with her students.
Understanding injectiveness is crucial when studying the properties of different types of mappings.
To prove injectiveness, we need to show that each output is unique.

Surface Forms

injectiveness singular

injectivenesses plural

Morphology

injectiveness = injective (opaque) = inject + ive + ness

Standard noun formation from the adjective 'injective' by adding the suffix '-ness'.

Etymology

Injectiveness comes from the parts in- 'into' and -ject- 'throw', the same root you see in inject and project. Think of 'throwing' each input into its own place — that's why injectiveness means each output comes from at most one input.