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  • 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''' is the numerical [[C++]] implementation of functions // Warining: non-holomorphic functions below!
    1 KB (265 words) - 15:00, 20 June 2013
  • 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
  • ...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
  • ...is usually interpreted as operation of multiplication or [[combination of functions]].
    3 KB (380 words) - 18:25, 30 July 2019
  • 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
  • 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
  • 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
  • ...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
  • ==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
  • ...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
  • 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
  • ...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
  • 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
  • ...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
  • #redirect[[Algebra of generalized functions]]
    45 bytes (5 words) - 14:11, 28 June 2013
  • 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
  • ...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
  • 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
  • </ref>; their functions are pretty different.
    8 KB (1,239 words) - 11:32, 20 July 2020

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