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  • Factorial
    M.Abramowitz and I.Stegun: Handbook of Mathematical Functions. 6. Gamma Function and Related Functions (2010) The American Mathematical Monthly, Vol. 103, No. 3 (Mar., 1996), pp. 214-220, http://www.jstor.org/p
    27 KB (3,925 words) - 18:26, 30 July 2019
  • Tetration
    ...the last argument; the use with any expression, different from an integer constant, causes the error message. D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45.
    21 KB (3,175 words) - 23:37, 2 May 2021
  • Mapping
    D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45. ...the graphical smoothness of the plot at the picture cannot substitute the mathematical proof.
    14 KB (2,275 words) - 18:25, 30 July 2019
  • Superfunction
    ...nction <math>T</math> (which is called [[Transfer function]]) and for some constant <math>t</math>, the superfunction \(F\) could be defined with expression ...tion <math>T</math>, such as addition of a constant or multiplication by a constant,
    25 KB (3,622 words) - 08:35, 3 May 2021
  • Square root of factorial
    D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45. ...argument is expresed with (or can be simplified to) a [[natural number]], constant. The intents to use the Nest function with any other expressions as the las
    13 KB (1,766 words) - 18:43, 30 July 2019
  • Holomorphic extension of the Collatz subsequence
    where \(\varepsilon=\exp(kz)\) , and \(k\in \mathbb R\) is constant. Then, [[Category:Mathematical functions]]
    5 KB (798 words) - 18:25, 30 July 2019
  • Regular Iteration
    for some constant $~k~$ and some constant coefficients $~a~$. ...\varepsilon^n + o(\varepsilon^N)$ , where $\varepsilon=\exp(kz) ~ $, $k=$constant!-->
    20 KB (3,010 words) - 18:11, 11 June 2022
  • Yurii Shirokov
    ...y]] (Moscow) in 1948. Worked in the same university, then in the [[Steklov Mathematical Institute]] (Moscow). He wrote more than 100 scientific papers |journal=[[Theoretical and Mathematical Physics|TMF]]
    5 KB (730 words) - 07:07, 1 December 2018
  • Logarithm
    and is denoted with symbol \(\ln\) in [[mathematical notations]]; ...number larger than unity. If the base is not \(\mathrm e\), then in the [[mathematical notations]] the symbol "log" is used; the base is indicated as subscript:
    4 KB (661 words) - 10:12, 20 July 2020
  • Nest
    ...ct: the number of iterations should allow the simplification to an integer constant. The intents to call function [[Nest]] with any other expression as the las ...case, while the number of iteration can be simplified to positive integer constant, the built-in function Nest is usable; for example, expression \(~\mathrm{N
    3 KB (438 words) - 18:25, 30 July 2019
  • Fixed point
    \(\sigma\) is unique up to a multiplicative constant and is called the [[Schröder coordinates]] of \(f\) at 0. ...real number is approximated as ratio of some integer number to the integer constant that is the same for all numbers. To avoid confusions, the term [[fixed poi
    4 KB (574 words) - 18:26, 30 July 2019
  • Mathematica
    simplification of mathematical expressions, solving equations, evaluation of functions, plotting graphics ...\) is allowed only for an integer values of \(c\) (reducible to an integer constant); any other value causes the error messages.
    12 KB (1,901 words) - 18:43, 30 July 2019
  • Tania function
    ...ts (and outside the cut lines), the grid of the lines of constant real and constant imaginary part looks similar to that of the [[identity function]]. This ind E.M.Wright. Solutions of the equation \(ze^z=z\). Bulletin of the American Mathematical Society 65, p. 89-93 (1959)
    27 KB (4,071 words) - 18:29, 16 July 2020
  • Table of superfunctions
    | [[constant]] D.Kouznetsov. Entire function with logarithmic asymptotic. Applied Mathematical Sciences, 2013, v.7, No.131, p.6527-6541.
    11 KB (1,565 words) - 18:26, 30 July 2019
  • Iteration
    XINZHI LIU. Stability of Impulsive Control Systems with Time Delay. Mathematical and Computer Modelling 39 (2004) 511-519. ...Iteration of meromorphic functions. Bulletin (New Series) of the American Mathematical society, v.29, No.2 (1993) p.151-188.
    14 KB (2,203 words) - 06:36, 20 July 2020
  • Natural tetration
    in the lower half-plane. See the spacial article [[Filog]] about this constant. D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45, In Russian. English version:<br>
    14 KB (1,972 words) - 02:22, 27 June 2020
  • Iterated integral
    Applied Mathematical Sciences, Vol. 4, 2010, no. 21, p.1021-1032. Keith B.Oldham, Jerome Spainer. The fractional calculus. Mathematical science and engineering, Vol. 111, Academic Press 1974.
    9 KB (1,321 words) - 18:26, 30 July 2019
  • Wakame
    ...her her relatives and friends; so, their names are also good to denote the mathematical constants. ...e called [[Homer-Simpson function]]s and, correspondently, [[Homer-Simpson constant]]s.
    4 KB (581 words) - 18:25, 30 July 2019
  • Sazae-san constants
    <!--Several mathematical constants need to have names.!--> ...are bumbered, beginning with unity; so, if the subscript of the Sazae-san constant is omitted, and it not specified that the notation refers to the array of c
    4 KB (495 words) - 18:47, 30 July 2019
  • Bessel function
    Abramovitz, Stegun. Handbook on mathematical functions. http://dlmf.nist.gov/10.9 Digital library of mathematical functions
    13 KB (1,592 words) - 18:25, 30 July 2019
  • Absorption
    ...the length, at which the intensity reduces with factor 1/[[e, mathematical constant|e]]. ...in decibels. For some reasons, they do not recognize dB as [[mathematical constant]] and try to hide its value from physicists, mathematicians and users. Usu
    3 KB (468 words) - 18:26, 30 July 2019
  • Zooming equation
    where \(~T~\) is some given function such that \(T(0)\!=\!0\) and \(~K~\) is constant, that depends on \(T\). D.Kouznetsov. Super sin. Far East Jourmal of Mathematical Science, v.85, No.2, 2014, pages 219-238.
    10 KB (1,627 words) - 18:26, 30 July 2019
  • File:SazaeconT.png
    [[Category:Mathematical constant]] [[Category:Sazae-san constant]]
    (2,118 × 1,682 (216 KB)) - 09:41, 21 June 2013
  • File:Superfactocomple1.png
    \(u\!=\!\Re(f)=\)constant and<br> \(u\!=\!\Im(f)=\)constant are drawn.<br>
    (706 × 706 (172 KB)) - 00:10, 29 February 2024
  • Orwell1984
    ...ein produced fear and anger automatically. He was an object of hatred more constant than either Eurasia or Eastasia, since when Oceania was at war with one of ...t and intricate that you could lose yourself in them as in the depths of a mathematical problem — delicate pieces of forgery in which you had nothing to guide yo
    587 KB (105,318 words) - 13:23, 7 April 2023
  • Maps of tetration
    Tetration is shown with lines of constant real part \(u\) and lines of constant imaginary part \(v\); ...pecial algorithm [[fsexp.cin]] is loaded; it is described in [[Vladikavkaz Mathematical Jorunal]]
    5 KB (761 words) - 12:00, 21 July 2020
  • Nori
    ...ters. (Here, \(M_2\) is not an adjusting parameter, but exact mathematical constant). Similar goal can be formulated for the numerical implementation of other
    13 KB (1,759 words) - 18:45, 30 July 2019
  • Superpower
    These functions differ for a constant, ...r periodic superfunctions appear at the displacement of the argument for a constant.
    6 KB (903 words) - 18:44, 30 July 2019
  • Iterate of exponential
    ...C++]] complex double implementation are described in 2010 in [[Vladikavkaz mathematical Journal]] in Russian; the English version is also loaded D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45.
    7 KB (1,161 words) - 18:43, 30 July 2019
  • Iterate of linear fraction
    where \(c\ne 0\) is constant; for example, the [[real number|real]] or [[complex number]]. ...if the number of iterations cannot be expressed with some positive integer constant, Mathematica generates the error message instead of to evaluate the express
    13 KB (2,088 words) - 06:43, 20 July 2020
  • File:2015ruble3.jpg
    ...the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 838 Constant 0.0172024 is not adjusted parameter, it is approximation of the angular vel
    (1,726 × 684 (266 KB)) - 08:26, 1 December 2018
  • File:2016ruble1.jpg
    ...the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 838 Constant 0.0172024 is not adjusted parameter, it is approximation of the angular vel
    (2,764 × 684 (414 KB)) - 08:27, 1 December 2018
  • File:Analuxp01t400.jpg
    Lines of constant [[logamplitude]] $u$ and phase $v$ are shown in the complex plane: ...provides the match of the two asymptotics. It is fundamental mathematical constant;
    (2,083 × 3,011 (1.67 MB)) - 08:29, 1 December 2018
  • File:Analuxp01u400.jpg
    ...provides the match of the two asymptotics. It is fundamental mathematical constant; D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45.
    (2,083 × 3,011 (1.72 MB)) - 08:29, 1 December 2018
  • File:Ruble85210a.png
    where $a$ is constant coefficient of proportionality. This equation is easy to solve: where $b$ is constant of integration.
    (1,519 × 689 (217 KB)) - 08:50, 1 December 2018
  • Ackermann function
    \(A_{b,1}(z)=b + z\) , addition of constant \(b\) \(A_{b,2}(z)=b \,z\) , multiplication to constant \(b\)
    10 KB (1,534 words) - 06:44, 20 July 2020
  • AuSin
    the constant \(G(\pi/2)\approx 2.089622719729524\) D.Kouznetsov. Super sin. Far East Jourmal of Mathematical Science, v.85, No.2, 2014, pages 219-238.
    5 KB (761 words) - 18:48, 30 July 2019
  • Conjecture on superfunctions
    D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45. D.Kouznetsov. Entire function with logarithmic asymptotic. Applied Mathematical Sciences, 2013, v.7, No.131, p.6527-6541.
    7 KB (1,031 words) - 03:16, 12 May 2021
  • Laplacian in spherical coordinates
    Hence, sum of the first two terms should be constant, opposite to that of the sum of the last two terms. It is convenient to denote this constant
    8 KB (1,254 words) - 18:44, 30 July 2019
  • Pentation
    ...the argument does not exceed some constant. For \(b\!=\!\mathrm e\), this constant is about \(-2.5\) ...vladie.pdf D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45.
    5 KB (803 words) - 18:48, 30 July 2019
  • Pomeau-Manneville
    Communications in Mathematical physics, v.74, p.189-197 (1980) Its mathematical status is soemwhat less satisfactory than that of the tro other scenarios p
    7 KB (953 words) - 18:47, 30 July 2019
  • SuSin
    ...ydns.jp/PAPERS/2014susin.pdf D.Kouznetsov. Super sin. Far East Journal of Mathematical Science, v.85, No.2, 2014, pages 219-238. where \(d\) are real constant. Approximations of the first 6 of them are shown below.
    15 KB (2,314 words) - 18:48, 30 July 2019
  • Nemtsov function and its iterates
    Journal of Mathematical Analysis and Applications, ...Iteration of meromorphic functions. Bulletin (New Series) of the American Mathematical society, v.29, No.2 (1993) p.151-188.</ref><ref name="domsta">
    15 KB (2,392 words) - 11:05, 20 July 2020
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