different between function vs bilinear

English

Etymology

From Middle French function, from Old French fonction, from Latin functi? (“performance, execution”), from functus, perfect participle of fungor (“to perform, execute, discharge”).

Pronunciation

• (UK) IPA^(key): /?f??(k)??n/, /?f??k?n?/
• (US) IPA^(key): /?f??k??n/, [?f??k???n], [?f??k?n?]
• Hyphenation: func?tion
• Rhymes: -??k??n

Noun

function (plural functions)

1. What something does or is used for.

   Synonyms: aim, intention, purpose, role, use

2. A professional or official position.

   Synonyms: occupation, office, part, role

4. An official or social occasion.

   Synonyms: affair, occasion, social occasion, social function

5. Something which is dependent on or stems from another thing; a result or concomitant.
6. A relation where one thing is dependent on another for its existence, value, or significance.
7. (mathematics) A relation in which each element of the domain is associated with exactly one element of the codomain.

   Synonyms: map, mapping, mathematical function, operator, transformation

   Hypernym: relation

8. (computing) A routine that receives zero or more arguments and may return a result.

   Synonyms: procedure, routine, subprogram, subroutine, func, funct

9. (biology) The physiological activity of an organ or body part.
10. (chemistry) The characteristic behavior of a chemical compound.
11. (anthropology) The role of a social practice in the continued existence of the group.

Hyponyms

• subfunction

Derived terms

Related terms

Translations

References

• function on Wikipedia.Wikipedia

Verb

function (third-person singular simple present functions, present participle functioning, simple past and past participle functioned)

1. (intransitive) To have a function.

   Synonyms: officiate, serve

2. (intransitive) To carry out a function; to be in action.

   Synonyms: go, operate, run, work

   Antonym: malfunction

Related terms

• functional
• dysfunction, dysfunctional

Translations

Middle French

Noun

function f (plural functions)

1. function (what something's intended use is)

Descendants

• ? English: function
• French: fonction

English

Etymology

From bi- +? linear.

Adjective

bilinear (not comparable)

1. (linear algebra, of a function in two variables) Linear (preserving linear combinations) in each variable.

2. (complex analysis, physics, engineering) Of or pertaining to a Möbius transformation (type of conformal map representable as the ratio of two linear functions).

Derived terms

• bilinear form
• bilinear transformation
• bilinearity
• bilinearization
• bilinearly

Related terms

• multilinear

Translations

Noun

bilinear (plural bilinears)

1. (linear algebra) A bilinear function.

Anagrams

• Liberian

German

Adjective

bilinear (not comparable)

1. bilinear

Declension

Related terms

• linear
• multilinear

Further reading

• “bilinear” in Duden online