What does Superfunction mean?

Definitions for Superfunction
su·per·func·tion

This dictionary definitions page includes all the possible meanings, example usage and translations of the word Superfunction.

Wikipedia

  1. Superfunction

    In mathematics, superfunction is a nonstandard name for an iterated function for complexified continuous iteration index. Roughly, for some function f and for some variable x, the superfunction could be defined by the expression S ( z ; x ) = f ( f ( … f ( x ) … ) ) ⏟ z evaluations of the function f . {\displaystyle S(z;x)=\underbrace {f{\Big (}f{\big (}\dots f(x)\dots {\big )}{\Big )}} _{z{\text{ evaluations of the function}}\,f}.} Then, S(z; x) can be interpreted as the superfunction of the function f(x). Such a definition is valid only for a positive integer index z. The variable x is often omitted. Much study and many applications of superfunctions employ various extensions of these superfunctions to complex and continuous indices; and the analysis of existence, uniqueness and their evaluation. The Ackermann functions and tetration can be interpreted in terms of superfunctions.

Wikidata

  1. Superfunction

    In mathematics, superfunction is a nonstandard name for an iterated function for complexified continuous iteration index. Roughly, for some function f and for some variable x, the superfunction could be defined by the expression Then, S can be interpreted as the superfunction of the function f(x). Such a definition is valid only for a positive integer index z. The variable x is often omitted. Much study and many applications of superfunctions employ various extensions of these superfunctions to complex and continuous indices; and the analysis of the existence, uniqueness and their evaluation. The Ackermann functions and tetration can be interpreted in terms of super-functions.

Chambers 20th Century Dictionary

  1. Superfunction

    sū-pėr-fungk′shun, n. action of some organ in excess of what is normal.—adj. Superfunc′tional.

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Numerology

  1. Chaldean Numerology

    The numerical value of Superfunction in Chaldean Numerology is: 9

  2. Pythagorean Numerology

    The numerical value of Superfunction in Pythagorean Numerology is: 1


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"Superfunction." Definitions.net. STANDS4 LLC, 2024. Web. 28 Mar. 2024. <https://www.definitions.net/definition/Superfunction>.

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