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Glite Dictionary
💉 No injection 🔢 Not one-to-one
uninjected

uninjected

9.9
A function that gives the same result for different inputs
  • adjective
  • Specialized
: no inyectivo
  • The function g(x) = x squared is uninjected because both 3 and -3 give the same result.

Examples

  • If a function is uninjected, it cannot have an inverse that is also a function.

  • Mathematicians often check whether a mapping is uninjected or injective when analyzing its properties.

  • The function g(x) = x squared is uninjected because both 3 and -3 give the same result.

  • A function is uninjected.

  • This function is uninjected.

  • If a function is uninjected, it cannot have an inverse that is also a function.

  • Mathematicians often check whether a mapping is uninjected or injective when analyzing its properties.

Antonyms

injective
  • Specialized
1 9.9

A function that gives a different output for each input

Surface Forms

uninjected positive

Morphology

uninjected = injected (opaque) = un + inject + ed

Although the surface form is un- + injected, the intended mathematical sense 'not injective' derives from the adjective 'injective' rather than 'injected', so the morphology is misleading for learners.

Etymology

In math, uninjected is un- 'not' plus injective, where injective comes from inject 'to put in' and means 'one-to-one', so uninjected means 'not one-to-one' — a function where two different inputs can give the same output.