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• Meganedia, deportation
  ...ntries. Tourists may seem that there is complete freedom, not limited even elementary decency. But once you break any smallest rule of the local Magna Carta, the ...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
  135 KB (24,381 words) - 13:33, 30 October 2020
• 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
• 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
• Superfunction
  the superfunction can be expressed in terms of elementary function. Historically, first non-elementary superfunction considered was super-exponential or [[tetration]], that corre
  25 KB (3,622 words) - 08:35, 3 May 2021
• Stochastic conjecture
  ...ber]] expressed with finite combination of rational numbers and elementary functions.
  2 KB (368 words) - 18:27, 30 July 2019
• Logarithm
  [[Elementary function]], [[Filog]], [[Exponent]], [[tetration]] [[Category:Elementary functions]]
  4 KB (661 words) - 10:12, 20 July 2020
• 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
• Yulya function
  '''Yulya function''' is elementary function such that [[Category:Mathematical 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
• 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
• 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
  ...hanics]], momentum \(\vec P\) of a system appears as sum of momenta of the elementary bodies (particles) of the system, 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
• 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
• 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
  ArcCos is considered as [[elementary function]] ArcCos is considered as [[elementary function]]
  5 KB (754 words) - 18:47, 30 July 2019
• ArcCip
  '''Cip'''\(=\)[[cosc]] is [[elementary function]] constructed through the [[Cos]] function: The notations of this article are not good. Many other similar functions should be described and implemented, anf theu should have similar names. Th
  8 KB (1,211 words) - 18:25, 30 July 2019
• ArcSin
  ArcSin is considered as [[elementary function]], more specifically [[Inverse trigonometric function]]. It can be ==Relations to other functions==
  9 KB (982 words) - 18:48, 30 July 2019
• Coshc
  '''Coshc''' or coshc is [[elementary function]], defined with 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
  '''Cosc'''\(=\)cosc is [[elementary function]] defined with ==Related functions==
  4 KB (649 words) - 18:26, 30 July 2019
• Wakame
  ==[[Sazae-san functions]] and related constants== where cosc=[[Cohc]] is elementary function ;
  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
• Varipend3
  </ref>, in the simplest configuration with 3 elementary bodies. ...riginal work implies that some external forces provide the movement of the elementary bodies inside by the circular trajectories until they are released.
  8 KB (1,036 words) - 18:25, 30 July 2019
• Ocean wave solution
  The only functions can be differentiated, and the name of this function should be explicitly d ...=0\), and the non–trivial solution can be parametrized in terms of the [[elementary function]]s, assuming the translational symmetry with respect to one of coo
  12 KB (1,879 words) - 18:26, 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]]. ...s\!=\!4\), \(\mathrm{ArcLogisticSequence}_s\) can be expressed through the elementary function,
  3 KB (380 words) - 18:25, 30 July 2019
• WrightOmega
  In such a way, the inverse of the WrightOmega is elementary function [[zex]]: For this reason, both functions, [[Tania function]] and [[WrightOmega]] are used in [[TORI]].
  4 KB (610 words) - 10:22, 20 July 2020
• Keller function
  [[Keller function]] ([[Функция Келлер]]) is elementary function defined with In the strip \(|\Im(z)|<\pi\), functions Keller and Keller\(_0\) are equivalent, \(\mathrm{Keller}(z)=\mathrm{Keller
  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
  ...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
  [[ArcLambertW]], called for simplicity '''zex''', is [[elementary function]] defined with 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
• 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
• Power function
  ...function]] ([[Степенная функция]]) is one of the primary [[elementary function]]s; For this case, the elementary superfunction \(F\) and the abelfunction \(G\) can be written as follows:
  15 KB (2,495 words) - 18:43, 30 July 2019
• Trappmann function
  From definition it follows, that it is entire elementary function. The Trappmann function is example of [[holomorphic function]] wit ...in the [[Mathematica]] software, all the names of the implemented special functions begin with capital letter. In this sense, \(\mathrm{Tra}=\mathrm{tra}\).
  9 KB (1,320 words) - 11:38, 20 July 2020
• 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
• 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
• 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
• 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
• AdPow
  [[AdPow]] can be expressed as elementary function, For \(a\!=\!2\), both functions [[AdPow]] and [[AuPow]] are shown in Fig.1
  2 KB (271 words) - 18:43, 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
• 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
• AuPow
  [[AuPow]] can be expressed as elementary function, For \(a\!=\!2\), both functions [[AdPow]] and [[AuPow]] are shown in Fig.1
  2 KB (284 words) - 18:43, 30 July 2019
• Eigendecomposition
  ...4 must either be infinite, or involve functions of greater complexity than elementary arithmetic operations and fractional powers. For this reason algorithms tha
  4 KB (518 words) - 18:46, 30 July 2019
• Elementary function
  [[Elementary function]] is either one or the first three [[Ackermann function]]s, ...ion of the first three [[Ackermann function]]s functions and their inverse functions.
  3 KB (496 words) - 18:45, 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
  ArcNemBra is [[elementary function]], 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
• 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
• Radial equation for hydrogen atom
  TIMOTHY JONES. ELEMENTARY QUANTUM MECHANICAL MODEL OF THE 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. [[Elementary function]],
  1 KB (202 words) - 18:48, 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
• 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
• 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>. Where [[arcsin]]\(=\!\sin^{-1}\) is primary [[elementary function]]. The integer iterate causes no problems, except the case when th
  15 KB (2,314 words) - 18:48, 30 July 2019
• Alien in a foreign sea 1
  - Elementary, - she answered. - A high-sensitivity microphone is to be inserted next to ...became clear that the formation of a 13-year-old girl was exhausted by the elementary skills of writing and counting - the level of two classes of the secondary
  367 KB (65,743 words) - 15:48, 1 February 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
  ...ntries. Tourists may seem that there is complete freedom, not limited even elementary decency. But once you break any smallest rule of the local Magna Carta, the ...amily gathered on the central terrace<!--, to perform the custom of living functions!-->. However, Irji was already sitting at the computer and doing something
  143 KB (24,042 words) - 12:47, 3 April 2021
• Quantum mechanics
  Experiments with the the cathode beams required concept or an electron, as elementary carrier of negative electric charge. Place of electron in the atoms needed In such a way the wave functions can be added ("addition of vectors"), multiplied by numbers, and the [[scal
  4 KB (618 words) - 18:44, 30 July 2019
• 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
• Meganesia.Deportation.Agent
  — It's elementary, Malik! Take the school pools. There was a committee, "Our Family", which d — Elementary. Do you know the meaning of "added value"? Corporate taxes are paid on the
  134 KB (22,749 words) - 19:49, 2 April 2021
• Asymmetric bell
  [[Asymmetric bell]] (or «Asymmetric bell function») is kind of functions usable for approximation of shapes of simple peaks, ...mation is sufficient fo work with some [[special function]] (preferably an elementary function) instead of complicated numerical solution or experimental data.
  3 KB (396 words) - 11:44, 15 August 2022
• Sech
  [[Sech]] is short name for elementary function, Gradstyein, Ryzhik, Hyperbolic Functions,
  3 KB (396 words) - 10:11, 4 April 2023