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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
• Theorem
  H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. Aequationes Mathematicae, v.81, p.65-76 (
  2 KB (248 words) - 14:33, 20 June 2013
• Natural tetration
  The pair of functions \(\mathrm {tet}\) and \(\mathrm{ate}\) The non–integer iterations of exponential give the class of functions that grow faster than any polynomial but slower than any exponential.
  14 KB (1,972 words) - 02:22, 27 June 2020
• Conservation of energy-momentum
  Velocities \(\vec v_n\) and momenta \(\vec p_n\) are supposed to be functions of [[time]], but, for the isolated system, \(\vec P\) is supposed to remain
  3 KB (488 words) - 18:25, 30 July 2019
• Physical quantities
  ...le from another is important), in analogy with property [[periodicity]] of functions in [[mathematical analysis]]. Each periodic process can be interpreted as [
  3 KB (464 words) - 14:33, 20 June 2013
• Fourier-2 transform
  ...of coordinates is shown with red cross. The same grid is used for all the functions evaluated below.
  6 KB (954 words) - 18:27, 30 July 2019
• Letter from A.Navalny to M.A.Bino
  ...at moved through Vladlen Stepanov’s accounts. Doing so is important. The functions of Russia’s Interior Ministry and Tax Ministry have already been substant
  10 KB (1,455 words) - 18:26, 30 July 2019
• Singapore 2011
  ...ed presentation and hard discussion of the superfunctions and the transfer functions of laser amplifiers (uniqueness of the superfunction, the range of applicab
  8 KB (1,147 words) - 18:44, 30 July 2019
• Квадратный корень из факториала
  ...t/u7327836m2850246/ H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. Aequationes Mathematicae, v.81, p.65-76 ( [[Category:Mathematical functions]]
  6 KB (312 words) - 18:33, 30 July 2019
• Iterated integral
  ...ay consider application of the fractional differentiation to some specific functions; for example, the polynomial or the exponential. Q4 What general class of functions could be differentiated fractionally be means of the idea contained in (1)?
  9 KB (1,321 words) - 18:26, 30 July 2019
• Корень из факториала
  ...t/u7327836m2850246/ H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. Aequationes Mathematicae, v.81, p.65-76 (
  7 KB (381 words) - 18:38, 30 July 2019
• Institute for Laser Science
  ...le=Self-pulsing laser as oscillator Toda: Approximation through elementary functions|journal=[[Journal of Physics A]]|volume=40|pages=1–18| year=2007|doi=10.1
  12 KB (1,757 words) - 07:01, 1 December 2018
• Fsexp.cin
  //Other functions defined below provide approximations for various parts of the complex plane
  9 KB (654 words) - 07:00, 1 December 2018
• Факториал
  [[Category:Special functions]]
  2 KB (59 words) - 18:33, 30 July 2019
• Robot
  ...bot''' is human-created object that can perform some of complicated human functions in the automatic regime. ...anies that produce robots often pretend that their robots can perform some functions, described in science-fiction.
  5 KB (746 words) - 14:55, 20 June 2013
• ArcCos
  ==Relation to other functions== ArcCos can be expressed through functions [[Arccosh]]:
  5 KB (754 words) - 18:47, 30 July 2019
• ArcCip
  The notations of this article are not good. Many other similar functions should be described and implemented, anf theu should have similar names. Th For the corresponding inverse functions, the following articles should be loaded:<br>
  8 KB (1,211 words) - 18:25, 30 July 2019
• ArcSin
  ==Relations to other functions== [[Category:Elementary functions]]
  9 KB (982 words) - 18:48, 30 July 2019
• Coshc
  Functions \(~y\!=\!\mathrm{coshc}(x)~\) and \(~y\!=\!\mathrm{coshc}'(x)~\) are shown
  4 KB (509 words) - 18:26, 30 July 2019
• ArcCosc
  Knowledge of these constants simplifies evaluation of functions [[ArcCosc]] and [[ArcCohc]]. ...Cosc]] as it it would be elementary function. It has sense to include such functions as [[Tetration]], [[ArcTetration]], [[SuperFactorial]], [[AbelFactorial]],
  8 KB (1,137 words) - 18:27, 30 July 2019
• Cosc
  ==Related functions== [[Trigonometriv functions]], [[cos]], [[sin]]
  4 KB (649 words) - 18:26, 30 July 2019
• Wakame
  ==[[Sazae-san functions]] and related constants== ...15 decimal digits are used in the numerical implementation of the related functions.
  4 KB (581 words) - 18:25, 30 July 2019
• Sazae-san constants
  [[File:SazaeconT.png|600px|right|thumb|Graphics of functions [[cohc]] and [[cosc]] ]] ...ma and singularities of functions [[cosc]] and [[coshc]] and their inverse functions:
  4 KB (495 words) - 18:47, 30 July 2019
• Acosq
  [[ArcCosc]], [[Cosc]], [[Sazae-san functions]], [[Guiding of waves between absorbing walls]] [[Category:Inverse functions]]
  4 KB (656 words) - 18:25, 30 July 2019
• ArcCosqq
  through functions [[acosq]] (or [[ArcCosq]]) expressed with While the argument approaches zero, functions [[ArcCosc]] and [[ArcCosq]] approach \(\pi/2\), and the [[Tangent]] in defi
  2 KB (216 words) - 18:26, 30 July 2019
• Acosc1
  ...inity of its branch points, acosc1 can be asymptotically approximated with functions below, shown also in the figure:
  6 KB (896 words) - 18:26, 30 July 2019
• Bessel transform
  at least for continuous functions \(f\) and \(g\). ...n the case of the [[Fourier transform]], the scale of the arguments of the functions \(f\) and \(g\) can be varied, defining the new function
  8 KB (1,183 words) - 10:21, 20 July 2020
• BesselJ0
  Along the real axis, BesselJ0 oscillates (like other [[Bessel]] functions). The zeros of are denoted with \(j_{0,n}\); where \(n\) is supposed to be
  6 KB (913 words) - 18:25, 30 July 2019
• ArcSinc
  [[Category:Sazae-san functions]]
  4 KB (563 words) - 18:27, 30 July 2019
• Discrete Hankel transform
  Functions are represented with
  7 KB (1,063 words) - 18:25, 30 July 2019
• BesselK0
  3 KB (394 words) - 18:26, 30 July 2019
• Cylindric function
  ...tion''' (or cylinder finction or cylindrical function) is class of special functions \(f\) satisfying equation Several cylindric functions have special names: [[BessleJ]] = J, [[BesselY]]=Y, [[BesselH]]=H, or, corr
  3 KB (388 words) - 18:26, 30 July 2019
• BesselJ1
  http://www.gnu.org/software/gsl/manual/html_node/Regular-Cylindrical-Bessel-Functions.html
  3 KB (439 words) - 18:26, 30 July 2019
• Bessel function
  Many formulas about the Bessel functions below are borrowed from the handbook by [[Abramowirtz,Stegun]] Abramovitz, Stegun. Handbook on mathematical functions.
  13 KB (1,592 words) - 18:25, 30 July 2019
• Classical mechanics
  The coordinates of each point are smooth functions of time. All velocities are differentiable functions, and the time derivative of velocity is called acceleration:
  4 KB (560 words) - 18:26, 30 July 2019
• CosFourier
  defined on the set of functions \(f\) such that the integral below converges: At the set of continuous functions, defined for the positive values of the argument, the second iteration of t
  6 KB (915 words) - 18:26, 30 July 2019
• Discrete Fourier
  ...etimes the special font is used to avoid the confusion with parameters and functions.) For the continuous square-integrable functions, the discrete approximation with \(N\) points can be written with uniform m
  6 KB (1,032 words) - 18:48, 30 July 2019
• DCTI
  The name of the functions and sense of the arguments are chosen following notations by the [[Numerica The C++ numerical CosFourier transform of the self-Fourier function \(F(x)=\exp(-x^2/2)\) can be realized as follows:
  10 KB (1,447 words) - 18:27, 30 July 2019
• Varipend3
  ...ed; explicit representation for all the coordinates in terms of elementary functions are suggested. Note that the couple (First and Second bodies) rotates with
  8 KB (1,036 words) - 18:25, 30 July 2019
• DCT
  The name of the functions and sense of the arguments are chosen following notations by the [[Numerica
  10 KB (1,689 words) - 18:26, 30 July 2019
• Exact solution
  ...the integrand is expressed only in terms of already known, id est, spedial functions), then this expression can be qualified as '''exact solution'''.
  2 KB (351 words) - 15:00, 20 June 2013
• Ocean wave solution
  The only functions can be differentiated, and the name of this function should be explicitly d are derivatives of functions \(X\) and \(Y\) with respect to the last argument. \(u\) has sense of the h
  12 KB (1,879 words) - 18:26, 30 July 2019
• Serega.cin
  // '''serega.cin''' is the numerical [[C++]] implementation of functions // Warining: non-holomorphic functions below!
  1 KB (265 words) - 15:00, 20 June 2013
• Serega function
  are derivatives of functions \(X\) and \(Y\) with respect to the last argument. In the implementation of ArcSerega, it is treated as pair of functions of pair of variables.
  5 KB (674 words) - 18:25, 30 July 2019
• LogisticSequence
  ...quence and its inverse functions can be expressed in terms of [[elementary functions]], ...\mathrm {ArcLogisticSequence}_s\) are available. The complex maps of these functions for various \(s\) are suggested in <ref name="logi">
  7 KB (886 words) - 18:26, 30 July 2019
• ArcLogisticSequence
  ...is usually interpreted as operation of multiplication or [[combination of functions]].
  3 KB (380 words) - 18:25, 30 July 2019
• Logistic operator
  Many superfuncitons for the given transfer function exist; and many Abel functions exist too. That called ArcLogisticSequance seems to be the simplest one. Ac ...nown; the efficient algorithms for the evaluation are supplied. With these functions, the explicit plot of some iterations of the logistic operators are
  6 KB (817 words) - 19:54, 5 August 2020
• WrightOmega
  For this reason, both functions, [[Tania function]] and [[WrightOmega]] are used in [[TORI]]. [[Category:Holomorphic functions]]
  4 KB (610 words) - 10:22, 20 July 2020
• Keller function
  In the strip \(|\Im(z)|<\pi\), functions Keller and Keller\(_0\) are equivalent, \(\mathrm{Keller}(z)=\mathrm{Keller As the Keller is expressed through elementary functions, no special numerical implementation is required.
  10 KB (1,479 words) - 05:27, 16 December 2019
• Shoko function
  ...ty of the real axis (and, in particular, for real values of the argument), functions [[Shoka function|Shoka]] and [[Shoko function|Shoko]] coincide. The [[Shoko function]] can be expressed through the elementary functions:
  10 KB (1,507 words) - 18:25, 30 July 2019
• ArcShoka
  ==Various inverse functions== For efficient comparison of various [[superfunction]]s \(F\) of the transfer functions \(T\) of realistic physical systems, the extension to the complex plane see
  3 KB (441 words) - 18:26, 30 July 2019
• ArcKeller
  ...e [[Keller function]]; there exist the explicit representations for these functions through the [[elementary function]]s: ...ArcShoka]] and [[Shoka function]]s can be expressed in terms of elementary functions:
  4 KB (545 words) - 18:26, 30 July 2019
• ArcLambertW
  Figure 3 looks pretty similar to the plots of iterates of other functions with fast growth along the real axis.
  3 KB (499 words) - 18:25, 30 July 2019
• SuZex approximation
  ...ed to similar maps for various approximations of [[SuZex]] with elementary functions. All the maps are supposed to be displayed in the same scale.
  14 KB (2,037 words) - 18:25, 30 July 2019
• AuZex
  The should be unique, in order to avoid confusion with other functions, while all figures are collected in the same directory for some article or two different functions are used in the same expression.<br>
  6 KB (899 words) - 18:44, 30 July 2019
• Name of function
  ...in order to distinguish it/him/her from other element of the same set. For functions, the name is especially important because it allows to denote the complicat Usually, the names of functions use the ascii characters, namely, letters and, in exceptional cases, [[cife
  6 KB (901 words) - 18:27, 30 July 2019
• Algebra of Generalized function
  #redirect[[Algebra of generalized functions]]
  45 bytes (5 words) - 14:11, 28 June 2013
• Power function
  These functions can be verified with the Mathematica code below: <poem><nomathjax><nowiki> ...ld be applied to the result. Often this appears dealing with trigonometric functions, one writes, for example, \(\sin^a(z)\) instead of \(\sin(z)^a~\). <!-- How
  15 KB (2,495 words) - 18:43, 30 July 2019
• Trappmann function
  ...in the [[Mathematica]] software, all the names of the implemented special functions begin with capital letter. In this sense, \(\mathrm{Tra}=\mathrm{tra}\). As for the super functions, the capitalisation (for example, \(\mathrm{SuTra}\)) is used to separate t
  9 KB (1,320 words) - 11:38, 20 July 2020
• C++
  In order to follow the descriptions of functions and to reproduce and to modify the figures suggested, the installing of C++ ...enerates the [[contour plot]]s; and in particular, the [[complex map]]s of functions of compex variables
  4 KB (608 words) - 15:01, 20 June 2013
• Schroeder equation
  </ref>; their functions are pretty different.
  8 KB (1,239 words) - 11:32, 20 July 2020
• Fractional iterate
  [[Fractional iterate]] is concept used to construct non-integer iterates of functions.
  2 KB (272 words) - 18:25, 30 July 2019
• Zooming equation
  G. Szekeres. Regular iteration of real and complex functions. </ref>. The non-integer iterates of various functions can be constructed also with the [[superfunction]] and [[Abel function]], c
  10 KB (1,627 words) - 18:26, 30 July 2019
• SuTra
  ...n function is important example of function without [[fixed points]]. Such functions were expected to be difficult for construction of the [[fractional iterate] ==Relation to other special functions==
  9 KB (1,285 words) - 18:25, 30 July 2019
• ArcTra
  ...ing of approximation of solution of algebraic equation with differentiable functions: The agreement functions for the primary approximations app1, app2, app3, app4 described above and f
  10 KB (1,442 words) - 18:47, 30 July 2019
• AuTra
  ...uired to plot the camera-ready pictures of the complex maps of the related functions.
  6 KB (1,009 words) - 18:48, 30 July 2019
• Orwell1984
  ...It was still true that men were not equal in their native talents and that functions had to be specialized in ways that favoured some individuals against others
  587 KB (105,318 words) - 13:23, 7 April 2023
• Abelpower
  These functions are called [[Abelpower]] functions. For \(a\!=\!2\), the explicit plots of these two functions are shown in figure at top.
  3 KB (470 words) - 18:47, 30 July 2019
• 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
• Nori
  ...tegration. This observation caused the need to perform certain analysis of functions [[mori]], [[nori]], [[naga]] and [[maga]]. ...ant; in particular the efficient implementations are necessary for all the functions involved.
  13 KB (1,759 words) - 18:45, 30 July 2019
• Superlogarithm
  ...ames of routines for elementary functions coincide with the names of these functions.
  1 KB (173 words) - 19:31, 30 July 2019
• Superpower
  The two real-holomorphic superpower functions are considered here: For \(a\!=\!2\), the explicit plots of these two functions are shown in figure 1 at right.
  6 KB (903 words) - 18:44, 30 July 2019
• Julia set
  Iteration of meromorphic functions. ...lia]], who had presented the results about invariants of the iteration of functions in 1918
  4 KB (630 words) - 18:44, 30 July 2019
• RAS reform
  ...d be stripped of their property rights, transferring the property managing functions to a federal agency that would be specially created for this purpose.</i> ...d be stripped of their property rights, transferring the property managing functions to a federal agency that would be specially created for this purpose. ..</i
  15 KB (1,750 words) - 18:44, 30 July 2019
• Conjugation
  This applies both to functions and to numbers.
  6 KB (921 words) - 18:46, 30 July 2019
• Mathematical notations
  ...n the operations summation, multiplication, exponentiation and the inverse functions.
  5 KB (753 words) - 18:47, 30 July 2019
• Iterate of exponential
  Walter Bergweiler. Iteration of meromorphic functions. Bull. Amer. Math. Soc. 29 (1993), 151-188. Both, tet and ate are holomorphic functions; so, the representation above can be used for non-integer \(n\). The expone
  7 KB (1,161 words) - 18:43, 30 July 2019
• Iterate of linear fraction
  All functions \(P\), \(t^n\) and \(Q\) are defined above, and \(f^n\) is expressed in a w ...nction]] and the [[Abel function]] can be expressed in terms of elementary functions. For many cases, instead of to express the [[superfunction]] through the it
  13 KB (2,088 words) - 06:43, 20 July 2020
• Linear fraction
  ...as usually, the additional conditions on the asymptotic behavior of these functions is required in order to make the non-integer iterate unique.
  5 KB (830 words) - 18:44, 30 July 2019
• Superfunctions
  ...on]]s, [[superfunction]]s, and the non-integer [[iterate]]s of holomorphic functions. Non-integer iterates of holomorphic functions.<br>
  15 KB (2,166 words) - 20:33, 16 July 2023
• Linear fuction
  ...e number \(n\) of iteration has no need to be integer. As other holomophic functions, the linear function can be iterated even complex number of times.
  2 KB (234 words) - 18:43, 30 July 2019
• Freedom
  ...erty of some theory, concept, model, that implies the ability to vary some functions or parameters without to destroy the main properties declared. In some case
  2 KB (355 words) - 10:39, 17 September 2013
• 2014.12.26rubleDollar
  where \(M=209 ~\) is total number of experimental data. Approximating functions are specified below: ...Currency band and the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 838
  5 KB (433 words) - 18:47, 30 July 2019
• Ackermann function
  The first ackermann functions have special names: ...lysis]] are based on the first 3 [[ackermann functions]] and their inverse functions in various combinations.
  10 KB (1,534 words) - 06:44, 20 July 2020
• AdPow
  For \(a\!=\!2\), both functions [[AdPow]] and [[AuPow]] are shown in Fig.1
  2 KB (271 words) - 18:43, 30 July 2019
• Amplitude of oscillator function
  For the asymptotic expansions of various functions with the oscillator function, the asymptotic behaviour of
  6 KB (770 words) - 18:44, 30 July 2019
• Analuxpf3c.cin
  ...] implementation of the elementary function \(\mathrm{Fit}_3\) and related functions, that provides approximation of [[natural tetration]] for moderate values o
  1 KB (253 words) - 18:48, 30 July 2019
• Applied Mathematical Sciences
  ...Currency band and the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 838
  4 KB (610 words) - 06:58, 1 December 2018
• Approximations of ruble
  ...n yen, USA cents and Euro cents, with [[holomorphic function|holomorphic]] functions of time. Various approximations with elementary functions with 3 parameters had been considered. Approximation with ellipses happened
  18 KB (2,080 words) - 13:48, 1 February 2022
• Arcsin.cin
  ...the name of the function here is arcsin, not asin. Comparison of these two functions for 201 real values of the argument can be performed with the routine below
  4 KB (488 words) - 06:58, 1 December 2018
• ArqNem
  The branch points for all inverse functions of the [[Nemtsov function]] \(\mathrm {Nem}_q\) are the same. Four different functions are used dependently on the argument; in order to choose the appropriate al
  7 KB (1,319 words) - 18:46, 30 July 2019
• AuNem
  [[ArqNem]]. It is important to use namely [[ArqNem]], while two other inverse functions, [[ArcNem]] and [[ArkNem]] do not provide the convergence of the iterative ...the special choice of the cut lines of function [[ArqNem]]. Other inverse functions for the [[Nemtsov function]] do not provide this property and, therefore, c
  9 KB (1,441 words) - 18:45, 30 July 2019
• AuPow
  For \(a\!=\!2\), both functions [[AdPow]] and [[AuPow]] are shown in Fig.1
  2 KB (284 words) - 18:43, 30 July 2019
• Base e1e
  ...], [[SuperExponential]] (in particular, the [[tetration]]) and the inverse functions.
  4 KB (559 words) - 17:10, 10 August 2020
• Base sqrt2
  [[Base sqrt2]] is article about functions that refer to base \(b=\sqrt{2}\).
  3 KB (557 words) - 18:46, 30 July 2019
• Chebyshev polynomial
  In [[Mathematica]], the [[Chebyshev polynomial]]s are built-in functions; \(T_n(x)\) is denoted with ChebyshevT[n,x]
  1 KB (186 words) - 18:48, 30 July 2019
• Collapse of RF
  ...[[Vertival of power]] of the [[Fuhrer]] and his [[KGB]] mafia dismount the functions of the state organisations. Even the [[Duma]], Parliament is no anymore pla
  14 KB (1,958 words) - 19:19, 6 August 2022
• Conjecture on superfunctions
  ...ere is at least one approximation of function \(\Phi\) in terms of special functions, that are built-in at the programming languages available for year 2003, ...and the resulting non-integer [[iterate]]s greatly extends the arsenal of functions available for fitting of any physical dependences.
  7 KB (1,031 words) - 03:16, 12 May 2021
• CosFT
  3 KB (468 words) - 18:47, 30 July 2019
• Discrete Bessel
  At the grid, the scalar product of two functions \(\phi\) and \(\psi\) is approximated with Simplest among these functions is Gaussian, \(f(x)=\exp(-x^2/2)\).
  8 KB (1,153 words) - 18:44, 30 July 2019
• Eigendecomposition
  ...lgorithm for dimensions greater than 4 must either be infinite, or involve functions of greater complexity than elementary arithmetic operations and fractional
  4 KB (518 words) - 18:46, 30 July 2019
• Elementary function
  ...ion of the first three [[Ackermann function]]s functions and their inverse functions. The first three ackermann functions are
  3 KB (496 words) - 18:45, 30 July 2019
• Exotic iteration
  ...of regular iteration, while the iterates are regular (id est, holomorphic) functions at least in some vicinity of the fixed point. ...ation''' or '''singular iteration''' could be also used to define the same functions.
  11 KB (1,715 words) - 18:44, 30 July 2019
• Fuhrer
  [[Fuhrer]] ([[Фюрер]]) is the top ruler of a country, who substitutes functions of the state institutions (parliament, senate, ministries, courts, etc.) wi
  6 KB (825 words) - 07:00, 1 December 2018
• Gauss-Laguerre quadrature
  ...efficient in the numerical calculations with approximation of atomic wave functions in spherical coordinates.
  7 KB (997 words) - 18:44, 30 July 2019
• HIKARI Applied Mathematical Sciences
  ...Currency band and the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 838
  3 KB (386 words) - 07:01, 1 December 2018
• Hermite polynomial
  4 KB (628 words) - 18:47, 30 July 2019
• Inverse function
  ==Self-inverse functions== Some functions are their own inverse function.
  3 KB (444 words) - 18:43, 30 July 2019
• Kori
  ...escription and implementation of functions [[kori]] and some other related functions ([[maga]], [[mori]], [[naga]], [[nori]]) appear as [[tool]]s for the descri Several articles about the functions introduced above are expected to be loaded.
  14 KB (1,943 words) - 18:48, 30 July 2019
• LaguerreL
  ...matica]] to denote the [[Laguerre polynomial]] and the associated Laguerre functions.<ref> For each integer non-negative \(k\), the \(k\)th Laguerre functions also form the orthogonal basis at the integration with the exponential wei
  5 KB (759 words) - 18:44, 30 July 2019
• Laplacian in spherical coordinates
  ...he spherical coordinates, their names, and different order of arguments of functions dependent on these coordinates.
  8 KB (1,254 words) - 18:44, 30 July 2019
• Linear approximation
  In application of mathematical analysis, all functions are known with some finite precision, and the first approximation may negle
  4 KB (670 words) - 18:46, 30 July 2019
• Lof
  ...aginary part of the argument, it is, indeed, just combination of these two functions. ...some critics for introducing new name for so simple combination of special functions, [[Logarithm]] and [[Factorial]]; both of them are implemented, for example
  3 KB (478 words) - 18:43, 30 July 2019
• Maga
  ...jpg|300px|thumb|\(y\!=\!\mathrm{maga}(x)\) (thick black curve) and related functions]] ...the complex plane. For the last option, the holomorphic properties of the functions involved (and their complex maps) should be analysed.
  8 KB (1,256 words) - 18:44, 30 July 2019
• Morinaga function
  ...the performance, the contour integral may be considered. However, all the functions in the integrand should be implemented for the complex values of the argume
  15 KB (2,303 words) - 18:47, 30 July 2019
• Naga
  ...simple combination of the [[Bessel function]] [[BesselJ0]] with elementary functions: ==Relation with other functions==
  5 KB (750 words) - 10:00, 20 July 2020
• NemBra
  while two other its inverse functions [[ArcNem]] and [[ArkNem]] gives the unnecessary cut lines of the [[Abel fun
  4 KB (618 words) - 18:46, 30 July 2019
• NemBran
  Functions [[SuNem]] and [[AuNem]] are used to express the non-integer iterates of the On the most of applications, the only real–values functions are used.
  3 KB (400 words) - 18:48, 30 July 2019
• Nembran.cin
  ...e [[Nemtsov function]]. The same is also branch point of two other inverse functions of the [[Nemtsov Finction]], [[ArcNem]] and [[ArkNem]], but namely [[ArqNem
  2 KB (281 words) - 07:03, 1 December 2018
• Nemtsov function
  ...e Nemtsov function are considered, and also some properties of the related functions: ...versions had been assigned (designated) the different names. These inverse functions have different positions of the cuts of the range of holomorphism.
  14 KB (2,157 words) - 18:44, 30 July 2019
• Nyquist theorem
  ...the real axis, through the linear combination of equidistantly–displaced functions [[sinc]]: ...s of the Fourier representaion. It refers to the [[Fourier transform]]s of functions \(f\) and \(u\):
  6 KB (944 words) - 18:48, 30 July 2019
• Orthogonal polynomials
  [[Orthogonal polynomials]] is specific set of orthogonal functions, used, in particular, for construction of formulas of [[numerical integrati
  6 KB (918 words) - 18:47, 30 July 2019
• Oscillator function
  ...gative \(n\), the solution \(F_n\) can be expressed in terms of elementary functions, in comparison to the oscillator functions \)F\(.
  6 KB (846 words) - 18:47, 30 July 2019
• Pentation
  The additional condition, common for all ackermann functions is assumed,
  5 KB (803 words) - 18:48, 30 July 2019
• Plodi.cin
  ...used to draw maps of agreement, that characterizes difference between two functions.
  1 KB (207 words) - 07:04, 1 December 2018
• Pluralism
  H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. Aequationes Mathematicae, v.81, p.65-76 (
  6 KB (950 words) - 18:48, 30 July 2019
• Radial equation for hydrogen atom
  The radial wave functions are orthogonal;
  8 KB (1,199 words) - 18:45, 30 July 2019
• SdPow
  ...xpressed as elementary functions. For \(a\!=\!2\), these functions are who functions are shown in Fig.1.
  1 KB (202 words) - 18:48, 30 July 2019
• Sergey Melnik
  Memory Functions of the Additive Markov Chains: Applications to Complex Dynamic Systems. Memory functions and Correlations in Additive Binary Markov Chains.
  9 KB (670 words) - 07:05, 1 December 2018
• Series
  ...essel function]]; attempts to reproduce similar inconsistencies with other functions are not successful.
  2 KB (325 words) - 18:44, 30 July 2019
• Sin
  The postulating of some properties of some functions may have sense while no proof is available. Properties of functions [[sin]] and [[cos]], can be deduced from the differential equation above. A
  4 KB (680 words) - 18:43, 30 July 2019
• SinFT
  5 KB (807 words) - 18:44, 30 July 2019
• Special function
  ...lation of the function to other elementary functions or with other special functions, defined earlier; even if the relation is asymptotic or approximate. ...valent of one dollar''' would be suitable in their descriptions as special functions.
  7 KB (991 words) - 18:48, 30 July 2019
• SuNem
  ...mplification of he algorithm, the precision and speed of evaluation of the functions are expected to improve a little bit. With functions [[SuNem]] and [[AuNem]], the iterates of the Nemtsov function can be writte
  6 KB (967 words) - 18:44, 30 July 2019
• SuPow
  The period \(P=2\pi\mathrm i / \ln(a)\) is the same for both these functions. Functions [[SuPow]] and [[SdPow]] are related with expression
  3 KB (405 words) - 18:43, 30 July 2019
• SuSin
  ...-4/S0273-0979-1993-00432-4.pdf Walter Bergweiler. Iteration of meromorphic functions. Bull. Amer. Math. Soc. 29 (1993), 151-188</ref>. SuSin can be aproximated with elementary functions.
  15 KB (2,314 words) - 18:48, 30 July 2019
• Thermal diffusion of Gaussian
  ...al variables \(x\). Parameters \(\alpha\) and \(\beta\) are supposed to be functions of time. Evolution of these parameters can be determined from the thermal d
  4 KB (554 words) - 18:43, 30 July 2019
• Trigonometry
  [[Trigonometry]] means set of tools to handle with combinations of functions [[sin]] and [[cos]], and also, the skills to use these tools. Some formulas
  453 bytes (59 words) - 18:43, 30 July 2019
• Инфляция
  ...Currency band and the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 838
  38 KB (636 words) - 18:37, 30 July 2019
• Нет Путина - нет России
  ...Currency band and the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 838
  44 KB (813 words) - 13:37, 14 April 2023
• 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 (291 words) - 18:27, 30 July 2019
• Фальшивомонетничество
  ...Currency band and the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 838.
  14 KB (164 words) - 18:46, 30 July 2019
• 2018.03.04.Теракт
  ...toxic chemicals that stop the nervous system working and shut down bodily functions. // ...toxic chemicals that stop the nervous system working and shut down bodily functions. //
  153 KB (3,732 words) - 23:19, 30 December 2019
• Alien in a foreign sea 1
  ...ance. The organism was fighting the opposite way - suddenly including some functions, so that its owner was in a situation that makes clear the thoughts about d
  367 KB (65,743 words) - 15:48, 1 February 2019
• ArcNem
  [[ArcNem]] is one of inverse functions of the [[Nemtsov function]], For positive values \(x\) of the argument, these four functions coincide:
  6 KB (1,099 words) - 18:46, 30 July 2019
• ArkNem
  [[ArcNem]] is one of inverse functions of the [[Nemtsov function]], For positive values \(x\) of the argument, these four functions coincide:
  3 KB (524 words) - 18:47, 30 July 2019
• FullSimplify
  ...s a wide range of transformations on expr involving elementary and special functions and returns the simplest form it finds.<br>
  2 KB (305 words) - 18:43, 30 July 2019
• Meganesia.Deportation
  ...amily gathered on the central terrace<!--, to perform the custom of living functions!-->. However, Irji was already sitting at the computer and doing something ...usual motive for participation in tenders for the execution of government functions.»
  143 KB (24,042 words) - 12:47, 3 April 2021
• Nemtsov function and its iterates
  G. Szekeres. Regular iteration of real and complex functions. Acta Mathematica, September 1958, Volume 100, Issue 3, pp 203-258. W.Bergweiler. Iteration of meromorphic functions. Bulletin (New Series) of the American Mathematical society, v.29, No.2 (19
  15 KB (2,392 words) - 11:05, 20 July 2020
• Банда наркоманов
  ...toxic chemicals that stop the nervous system working and shut down bodily functions. //
  133 KB (3,747 words) - 09:56, 28 April 2022
• Модель коллапсирующей экономики
  ...Currency band and the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 838 //
  39 KB (760 words) - 11:55, 22 April 2023
• Quantum mechanics
  In such a way the wave functions can be added ("addition of vectors"), multiplied by numbers, and the [[scal Linear operations on the space of wave functions are called "operators".
  4 KB (618 words) - 18:44, 30 July 2019
• Pahanat
  The parliament, ministers, courts perform decorative functions, making impression, that the decision is made on the base of collegial disc
  2 KB (166 words) - 22:43, 17 August 2019
• Вч 20662
  ...Currency band and the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 838
  16 KB (266 words) - 17:36, 7 February 2019
• FSB
  [[FSB]] performs the same functions, as the soviet [[KGB]],
  1 KB (131 words) - 11:30, 17 August 2019
• Екайкин Алексей Анатольевич
  .... These processes are specified by their correlation and cross-correlation functions. The simulated processes are constructed as sums of plane waves with random
  10 KB (278 words) - 22:18, 9 October 2019
• Маленькая победоносная война
  ...Currency band and the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 838 ...Currency band and the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 838
  19 KB (242 words) - 19:05, 7 January 2021
• CoronavirusWho
  The square root of number of daily vases is approximated with various functions, mentioned below.
  6 KB (427 words) - 07:18, 15 March 2020
• Институт Пасечника
  ...ordinate to the Russian Ministry of Public Health and Medical Industry and functions as a self-sustained enterprise within the concern "Biopreparat", which incl
  55 KB (1,142 words) - 19:11, 15 May 2020
• Coronavirus as accident
  ...ll scientists everything about its source, but the string of DNA sequences functions almost like a blueprint for this type of detective work.
  30 KB (4,645 words) - 19:40, 15 May 2020
• Shell-Thron region
  H.Trappmann, D.Kouznetsov. Uniqueness of holomorphic Abel functions at a complex fixed point pair Aequationes Mathematicae, v.81, p.65-76 (2011
  7 KB (1,082 words) - 07:03, 13 July 2020
• 1961.ProgramKPSS
  The transfer of a number of functions of economic management by chief functions of the socialist state-organisation of the
  287 KB (44,593 words) - 02:17, 10 July 2020
• Smooth superation
  Perhaps, for some functions $f$, the "true" [[ackermann]] should be choosen to extend the range of holo
  3 KB (341 words) - 21:45, 21 June 2020
• Cauchy integral
  ...y integral]] allows the efficient evaluation of derivatives of holomorphic functions and the expansion ot the power series:
  2 KB (320 words) - 15:14, 21 July 2020
• Theorem on increment of tetration
  ...ehavior of solution of the [[Transfer equation]] with exponential transfer functions. The quantities mentioned are plotted in Fig.1 as functions of \(\beta\)
  4 KB (548 words) - 14:27, 12 August 2020
• Цепляева Юлия Викторовна
  ...Currency band and the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 838 ...Currency band and the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 838
  22 KB (367 words) - 18:07, 7 January 2021
• Map
  2 KB (222 words) - 16:00, 28 May 2021
• Meganesia.Deportation.Agent
  ...nplace motive for participation in tenders for the execution of government functions.
  134 KB (22,749 words) - 19:49, 2 April 2021
• OmSum
  [[OmSum]] is notation for combination of functions suggested by For any set of numbered functions \(f\)
  2 KB (331 words) - 11:07, 17 May 2021
• MhSum
  [[MhSum]] is notation for combination of functions suggested by For any set of numbered functions \(f\)
  2 KB (355 words) - 11:09, 17 May 2021
• Uniord.t
  As ord() doesn't work with utf-8, and if you do not have access to mb_* functions, the following function will work well:
  4 KB (476 words) - 14:22, 21 May 2021
• 大
  Functions [[mb_str_split.t]] and [[uniord.t]] are used in the code above.
  4 KB (492 words) - 18:12, 21 May 2021
• 小
  The program above uses the [[PHP]] functions
  6 KB (742 words) - 17:54, 22 May 2021
• ⼥
  This program uses portable PHP functions
  9 KB (1,211 words) - 20:49, 26 May 2021
• X2F25
  This program uses portable PHP functions
  9 KB (1,192 words) - 10:13, 17 June 2021
• XF981
  This program uses portable PHP functions
  11 KB (1,512 words) - 12:24, 5 June 2021
• X5973
  This program uses portable PHP functions [[unichr.t]], [[mb_str_split.t]] and [[uniord.t]]. The output is
  9 KB (1,231 words) - 21:49, 25 May 2021
• X2F26
  This program uses the portable [[PHP]] functions
  6 KB (907 words) - 19:09, 26 May 2021
• X5B50
  This program uses the portable [[PHP]] functions
  6 KB (853 words) - 19:10, 26 May 2021
• ⼦
  This program uses the portable [[PHP]] functions
  6 KB (865 words) - 20:06, 26 May 2021
• Du.t
  It is equivalent of "dump.t", but all functions necessary are defined inside and have no need to be included from the exter
  3 KB (400 words) - 11:38, 1 June 2021
• Separation of powers
  ...es into distinct branches to limit any one branch from exercising the core functions of another. The intent is to prevent the concentration of power and provide
  6 KB (972 words) - 02:22, 6 May 2023
• Precision
  ...als happen to be not sufficient for the numerical analysis of mathematical functions. at the [[fixed point]] 4. Only in the strip along the real axis, these functions look similar.
  10 KB (1,491 words) - 18:09, 11 June 2022
• DimaHistory
  ...Currency band and the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 838
  29 KB (652 words) - 23:45, 16 July 2022
• Asymmetric bell
  [[Asymmetric bell]] (or «Asymmetric bell function») is kind of functions usable for approximation of shapes of simple peaks,
  3 KB (396 words) - 11:44, 15 August 2022
• Дальше хоть камни с неба
  ...Currency band and the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 838
  38 KB (802 words) - 02:21, 25 August 2022
• 2022.01.18.Europarl
  ...uncil uses its veto to obstruct the Security Council from carrying out its functions as mandated by the UN Charter;
  21 KB (3,146 words) - 18:51, 29 January 2023
• Sech
  Gradstyein, Ryzhik, Hyperbolic Functions,
  3 KB (396 words) - 10:11, 4 April 2023
• Орскнефтеоргсинтез
  Fitting of Rouble with 3-Parametric Functions.
  39 KB (759 words) - 16:14, 9 April 2024