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  • Algebra of generalized functions
    [[Algebra of one-dimensional generalized functions]] by [[Yurii Shirokov]] appears in but the main ideas of the non–commutative generalized functions still need to be applied in the [[Filed Theory]].
    38 KB (6,232 words) - 18:46, 30 July 2019

Page text matches

  • McCumber relation
    In particular relation (1) makes it possible to approximate two functions of frequency, emission and absorption cross sections, with single fit
    16 KB (2,521 words) - 15:13, 17 June 2020
  • Meganedia, deportation
    ...le family gathered on the central terrace, to perform the custom of living functions. However, Jiri was already sitting at the computer and doing something on t ...usual motive for participation in tenders for the execution of government functions."
    135 KB (24,381 words) - 13:33, 30 October 2020
  • Logic
    Abramowitz and Stegun: Handbook of Mathematical Functions.
    8 KB (1,403 words) - 14:24, 20 June 2013
  • Factorial
    ....Stegun: Handbook of Mathematical Functions. 6. Gamma Function and Related Functions (2010) ...r <math>z</math>, the integral can be expressed in terms of the elementary functions.
    27 KB (3,925 words) - 18:26, 30 July 2019
  • Tetration
    H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. Aequationes Mathematicae, v.81, p.65-76 ( ...e requirements of the [[computational mathematics]] in the rapidly growing functions; if not, the superfunction of tetration, id est, [[pentation]] (\(\mathrm {
    21 KB (3,175 words) - 23:37, 2 May 2021
  • Tetre2215.cc
    // The functions defined in [[conto.cin]] and [[ado.cin]] should be downloaded for the compo [[Category:Mathematical functions]]
    6 KB (1,030 words) - 18:48, 30 July 2019
  • Tetreal2215.tex
    [[Category:Mathematical functions]]
    4 KB (493 words) - 18:48, 30 July 2019
  • Fukushima disaster, timeline of links
    http://www.automatedtrader.net/real-time-news/72114/japan-update-some-functions-to-resume-at-fukushima-reactor-2 Japan Update: Some Functions to Resume at Fukushima Reactor 2. 21 March 2011 04:11 am. <i>
    146 KB (19,835 words) - 18:25, 30 July 2019
  • Mapping
    H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. Aequationes Mathematicae, v.81, p.65-76 ( [[Image:QFactorialQexp.jpg|400px|right|thumb|Complex maps of functions [[square root of factorial]], left, and \(\sqrt{\exp}\), right.]]
    14 KB (2,275 words) - 18:25, 30 July 2019
  • What 10 Years of Putin Have Brought
    ...authority. The state needs to stop thinking it has the right to non-state functions such as controlling enterprise.
    92 KB (14,748 words) - 18:44, 30 July 2019
  • Superfunction
    In particular, the [[Ackernann functions]] and [[tetration]] can be interpreted in terms of [[superfunction]]s. ...ns came from the application to the evaluation of fractional iterations of functions.
    25 KB (3,622 words) - 08:35, 3 May 2021
  • Natural pentation
    [[File:Penplot.jpg|300px|thumb|\(y=\mathrm{pen}(x)\) and related functions.]]
    7 KB (1,090 words) - 18:49, 30 July 2019
  • Square root of factorial
    H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. Aequationes Mathematicae, v.81, p.65-76 ( H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. Aequationes Mathematicae, v.81, p.65-76 (
    13 KB (1,766 words) - 18:43, 30 July 2019
  • Abel theorem
    The Abel theorem above seems to have nothing to do with the [[Abel functions]] nor the [[Abel equations]]. The references about original works by Abel about the [[Abel functions]] are wanted; they should be cited in the articles [[superfunction]] and [[
    2 KB (320 words) - 18:25, 30 July 2019
  • Wiki
    ...e.org/tetrationforum/index.php (dedicated to the [[tetration]] and similar functions).
    6 KB (899 words) - 07:07, 1 December 2018
  • Holomorphic extension of the Collatz subsequence
    [[Category:Mathematical functions]]
    5 KB (798 words) - 18:25, 30 July 2019
  • Regular Iteration
    ...he [[Abel function]] is considered as principal, as it allows to deal with functions that have no real fixed points (and, perhaps, no fixed points at all). ...periodicity may have the [[Abel function]] $~G=F^{-1}~$. However, the Abel functions, corresponding at different [fixed points]] have no need to have the
    20 KB (3,010 words) - 18:11, 11 June 2022
  • Yurii Shirokov
    ==Algebra of generalized functions== |title = Algebra of one-dimensional generalized functions
    5 KB (730 words) - 07:07, 1 December 2018
  • Stochastic conjecture
    ...ber]] expressed with finite combination of rational numbers and elementary functions.
    2 KB (368 words) - 18:27, 30 July 2019
  • SuperFactorial
    ...roduct, the [[SuperFunction]] of Factorial and that for some other special functions are considered there. ...be the simplest among various SuperFunctions of Factorial, if one exclude functions that are identically equal to a constant.
    18 KB (2,278 words) - 00:03, 29 February 2024
  • Transfer equation
    [[Category:Abel functions]]
    3 KB (519 words) - 18:27, 30 July 2019
  • Abel function
    The non-integer iteration of function allows to express such functions as Sequently, the Abel functions are also different.
    4 KB (547 words) - 23:16, 24 August 2020
  • Transfer function
    [[File:KellerDoyaT.png|300px|thumb|Transfer functions of laser amplifiers with simple kinetics for the short pulses ([[Keller fun H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. Aequationes Mathematicae, v.81, p.65-76 (
    11 KB (1,644 words) - 06:33, 20 July 2020
  • Abel equation
    Most of commonly used functions can be declared as [[transfer function]]s, and the corresponding [[Abel fun ...t/u7327836m2850246/ H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. [[Aequationes Mathematicae]], '''81''', p
    4 KB (598 words) - 18:26, 30 July 2019
  • Navier-Stokes equation
    Functions \(P\) and \(\vec f\!=\!\vec f(x)\) are supposed to be given; \(\nabla\) dif
    7 KB (1,149 words) - 18:26, 30 July 2019
  • Navier-Stokes from variational principle
    where \(u_k\) are assumed to be functions of \(x_1, x_2, x_3\) ; \(k\) and \(j\) and \(i\) take integer values from
    5 KB (737 words) - 18:26, 30 July 2019
  • Logarithm
    [[Category:Elementary functions]]
    4 KB (661 words) - 10:12, 20 July 2020
  • Taylor–Green vortex
    ...periods are \(\{2\pi,0,0\}\) and \(\{0,2\pi,0\}\). The velovities \(u\) as functions of coordinates \(x\) are defined as follows: [[Category:Periodic functions]]
    2 KB (292 words) - 18:26, 30 July 2019
  • Exact solutions of Navier-Stokes
    ...on of the [[Navier-Stokes equation]] can be expressed in term of [[special functions]]. In principle, any function can be declared as "special", if its specific ...t solution of the Navier-Stokes]] refers to the non-trivial combonation of functions \(\vec u=\vec u(\vec x)\) and \(p=p(\vec x)\) such that
    4 KB (620 words) - 18:25, 30 July 2019
  • Proof:Noeter theorem
    ...(y=x+\chi\), the derivatives of the transformed field can be espressed as functions of the old coordinates:
    9 KB (1,358 words) - 18:27, 30 July 2019
  • Nest
    ==Iteration of functions== ...ed, yet, such representation cannot be used even to plot graphics of these functions for non-integer number of iterates.
    3 KB (438 words) - 18:25, 30 July 2019
  • Biogenesis
    ...functions. JCVI-syn3.0 is a versatile platform for investigating the core functions
    16 KB (2,012 words) - 01:09, 31 December 2018
  • Mikhail Golovatov
    ...refuge in the Russian Federation, handling the privatization of the KGB's functions. In particular, since 1995, Golovatov is president of semi-legal organizati
    10 KB (848 words) - 15:55, 1 January 2019
  • ArcTetration
    H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. [[Aequationes Mathematicae]], v.81, p.65- ...that grow faster than any polynomial but slower than any exponential. Such functions greatly extend the ability of holomorphic fitting of dependences with non-t
    7 KB (1,091 words) - 23:03, 30 November 2019
  • Fixed point
    ...] offers the table of evaluations of some fixed points for some elementary functions [[Category:Mathematical functions]]
    4 KB (574 words) - 18:26, 30 July 2019
  • Mathematics
    ...e.math.sfu.ca/~cbm/aands/ Abramowitz and Stegun: Handbook of Mathematical Functions.
    3 KB (405 words) - 04:09, 1 July 2020
  • Complex map
    In [[TORI]], the complex maps are used for illustration many functions, and in particular, those that yet are underrepresented in the literature: [[Category:Mathematical functions]]
    2 KB (254 words) - 06:59, 1 December 2018
  • Fslog.cin
    [[Category:Holomorphic functions]]
    5 KB (275 words) - 07:00, 1 December 2018
  • Mathematica
    simplification of mathematical expressions, solving equations, evaluation of functions, plotting graphics and other things that require some [[mathematics]]. ...e coefficients for the approximation for the [[superfunctions]] and [[Abel functions]] using the expansions in vicinity of the [[Fixed point]]s; in particular,
    12 KB (1,901 words) - 18:43, 30 July 2019
  • Holomorphic function
    '''Holomorphic function''' is concept of the theory of functions of complex variables that refers the the existence of the derivative. [[Category:Holomorphic functions]]
    1 KB (151 words) - 21:08, 25 January 2021
  • Yulya function
    [[Category:Mathematical functions]] [[Category:Elementary functions]]
    12 KB (1,754 words) - 18:25, 30 July 2019
  • Tania function
    ==Relation to other special functions== According to the Axiom [[TORI]] number 6, the simplest among related functions should be considered as principal, primary. From this axiom, it follows, th
    27 KB (4,071 words) - 18:29, 16 July 2020
  • LambertW function
    ==Relation with other functions== [[Category:Holomorphic functions]]
    8 KB (1,107 words) - 18:26, 30 July 2019
  • Doya function
    ...ng with real numbers. However, the difference become clearly seen is these functions are plotted in the complex plane. ...ermined by the two parameters \(P_{\rm sat}\) and \(t\) through the known functions Doya and Tania. Such a model seems to be applied, in particular, for the [[
    19 KB (2,778 words) - 10:05, 1 May 2021
  • Doya.cin
    After such a header, the functions can be defined as follows: [[Category:Complex(double) functions]]
    3 KB (480 words) - 14:33, 20 June 2013
  • Fourier transform
    For the integrable continuous functions \(A\) and \(B\), it is assumed that On the set of continuous functions \(A\), the operatot product
    11 KB (1,501 words) - 18:44, 30 July 2019
  • FFT
    The expression (2) defines the discrete analogy of the simplest [[self-Fourier]] function. With such an input array, The case of the Gaussian self-Fourier function by (2) is shown at the figure at right for \(N\!=\!16\).<br>
    6 KB (1,010 words) - 13:23, 24 December 2020
  • Table of superfunctions
    In any pair of holomorphic functions \(F\), \(G\!=\!F^{-1}\), | [[cosinus]], [[trigonometric functions]]
    11 KB (1,565 words) - 18:26, 30 July 2019
  • Square root of exponential
    ...s of the [[SuperFactorial]] and [[AbelFactorial]] (or "ArcSuperFactorial") functions. ...t/u7327836m2850246/ H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. [[Aequationes Mathematicae]], '''81''', p
    5 KB (750 words) - 18:25, 30 July 2019
  • Iteration
    Walter Bergweiler. Iteration of meromorphic functions. Bull. Amer. Math. Soc. 29 (1993), 151-188 For iteration of functions, the same notation is used also by [[Walter Bergweiler]]
    14 KB (2,203 words) - 06:36, 20 July 2020

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