injection

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See also: înjection

English

An injection (relation on sets in mathematics)

Etymology

Borrowed from Middle French injection, from Latin iniectio. The mathematical sense is from French injection, introduced by Nicolas Bourbaki in their treatise Éléments de mathématique.

Pronunciation

  • IPA(key): /ɪn.ˈdʒɛk.ʃən/
  • Hyphenation: in‧jec‧tion
  • Rhymes: -ɛkʃən

Noun

injection (countable and uncountable, plural injections)

  1. The act of injecting, or something that is injected.
  2. A specimen prepared by injection.
  3. (category theory) A morphism from either one of the two components of a coproduct to that coproduct.
  4. (construction) The act of inserting materials like concrete grout or gravel by using high pressure pumps.
  5. (figuratively) The supply of additional funding to a person or a business.
    The troubled business received a much-needed cash injection.
  6. (mathematics) A relation on sets (X,Y) that associates each element of Y with at most one element of X.
  7. (programming) The insertion of program code into an application, URL, hardware, etc.; especially when malicious or when the target is not designed for such insertion.
    a SQL injection exploit allowing a malicious user to modify a database query
  8. (space science) The act of putting a spacecraft into a particular orbit, especially for changing a stable orbit into a transfer orbit, e.g. trans-lunar injection.
    • 2015, Henry L. Richter, America's Leap Into Space
      It had been determined that one of the whip turnstile antennas had broken off from Explorer 1 shortly after injection into orbit, so these were eliminated.
  9. (set theory) A function that maps distinct x in the domain to distinct y in the codomain; formally, a f: X → Y such that f(a) = f(b) implies a = b for any a, b in the domain.
  10. (specifically, medicine) Something injected subcutaneously, intravenously, or intramuscularly by use of a syringe and a needle.
  11. (steam engines) The act of throwing cold water into a condenser to produce a vacuum.
  12. (steam engines) The cold water thrown into a condenser to produce a vacuum.

Hyponyms

(computing) Insertion of program code into an application, URL, etc.
(construction)

Derived terms

(construction) Terms derived from injection

Related terms

Translations

See also

Template:mid3

Template:mid3

References

French

Etymology

Borrowed from Latin iniectiō, iniectiōnem.

Pronunciation

  • IPA(key): /ɛ̃.ʒɛk.sjɔ̃/
  • Audio:(file)

Noun

injection f (plural injections)

  1. injection

Related terms

Further reading

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