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continuous function

con·tin·u·ous func·tion
C c

Transcription

    • US Pronunciation
    • US IPA
    • UK Pronunciation
    • UK IPA
    • [kuh n-tin-yoo-uh s fuhngk-shuh n]
    • /kənˈtɪn yu əs ˈfʌŋk ʃən/
    • /kənˈtɪnjuəs ˈfʌŋkʃn/
    • US Pronunciation
    • US IPA
    • [kuh n-tin-yoo-uh s fuhngk-shuh n]
    • /kənˈtɪn yu əs ˈfʌŋk ʃən/

Definitions of continuous function words

  • noun continuous function (loosely) a mathematical function such that a small change in the independent variable, or point of the domain, produces only a small change in the value of the function. 1
  • noun continuous function (at a point in its domain) a function that has a limit equal to the value of the function at the point; a function that has the property that for any small number, a second number can be found such that when the distance between any other point in the domain and the given point is less than the second number, the difference in the functional values at the two points is less than the first number in absolute value. 1
  • noun continuous function (at a point in a topological space) a function having the property that for any open set containing the image of the point, an open set about the given point can be found such that the image of the set is contained in the first open set. 1
  • noun continuous function (on a set in the domain of the function or in a topological space) a function that is continuous at every point of the set. 1
  • noun Technical meaning of continuous function (mathematics)   A function f : D -> E, where D and E are cpos, is continuous if it is monotonic and f (lub Z) = lub { f z | z in Z } for all directed sets Z in D. In other words, the image of the lub is the lub of any directed image. All additive functions (functions which preserve all lubs) are continuous. A continuous function has a least fixed point if its domain has a least element, bottom (i.e. it is a cpo or a "pointed cpo" depending on your definition of a cpo). The least fixed point is fix f = lub {f^n bottom | n = 0..infinity} (1994-11-30) 1
  • noun continuous function (analysis) a function whose value changes only slightly when its input changes slightly. 0
See all 7 definitions of continuous function

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Parts of speech for Continuous function

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Full grammatical hierarchy of Continuous function

continuous function popularity

This term is known only to a narrow circle of people with rare knowledge. Only 6% of English native speakers know the meaning of this word.
According to our data most of word are more popular. This word is almost not used. It has a much more popular synonym.

continuous function usage trend in Literature

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