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• and the asymptotic analysis with small parameter $$|1/z|$$ determines ...n expansion, the tetration to the complex base should be analyzed. Such an analysis could be matter for the further research. Any independent confirmation (or
21 KB (3,127 words) - 13:12, 5 August 2020
• // but for the serious numerial analysis the number of terms in the expansion should be increased;<br> // and for large values of the imaginary part, the asymptotic representaton should be used instead.
6 KB (1,030 words) - 18:48, 30 July 2019
• ...ongest tool for the computation of analytical expressions and asymptotical analysis. The homepage of Wolfram ...orial]], [[Abel Factorial]], etc.; of order of a dozen coefficients of the asymptotic expansion can be calculated analytically in the [[real time]]. (If manually
12 KB (1,901 words) - 18:43, 30 July 2019
• For the analysis of the properties Yulya and the building up the efficient approximations fo Asymptotic expansion at small values of the argument has the form
12 KB (1,754 words) - 18:25, 30 July 2019
• ==Modal analysis== ==Asymptotic estimate of the guiding efficiency==
15 KB (2,070 words) - 18:47, 30 July 2019
• The asymptotic expansions for [[BesselJ0]] diverge, but are useful for precise evaluation ANALYSIS AND DESIGN OF VERTICAL CAVITY SURFACE EMITTING LASERS.
6 KB (913 words) - 18:25, 30 July 2019
• ==Asymptotic expansions== Some expansions of square of [[BesselH0]] look counter-intuitive and require analysis.
4 KB (509 words) - 18:26, 30 July 2019
• For the analysis of the Keller function, another superfunction, namely, [[Shoka function]] h ==Asymptotic behavior==
10 KB (1,507 words) - 18:25, 30 July 2019
• and the asymptotic analysis. For $$a_1\!=\!1$$, these coefficients can be calculated with the mathemati
15 KB (2,495 words) - 18:43, 30 July 2019
• ==Asymptotic at large argument== Asymptotic of nori at large values of its argument can be written as follows:
13 KB (1,759 words) - 18:45, 30 July 2019
• ...lex arithmetic, [[Cauchi integral]] and the principles of the asymptotical analysis should help at the reading. D.Kouznetsov. Entire function with logarithmic asymptotic. Applied Mathematical Sciences, 2013, v.7, No.131, p.6527-6541.
14 KB (1,928 words) - 13:08, 12 January 2021
• ...cplot.jpg|256px|thumb|$$y\!=\!\mathrm{Amos}(x)$$, black curve, and two its asymptotic approximaitons]] For comparison, the two its asymptotic approximations are also plotted with coloured curves.
6 KB (883 words) - 18:44, 30 July 2019
• ==Asymptotic behaviour of [[AuNem]]== ...lies of the argiment (at least for positive argument) is determined by the asymptotic behaviour of function [[SuNem]] at large negative values of the real part o
9 KB (1,441 words) - 18:45, 30 July 2019
• ...n of the expansion to the Abel equation and the straightforward asymptotic analysis. While $$G_M$$ is asymptotic solution of the Abel equation with sin as the transfer function, the limit
5 KB (761 words) - 18:48, 30 July 2019
• For the base $$b=\eta=\exp(1/\mathrm e)$$, the asymptotic expansion of the superexponential can be written in the following form: and performing the asymptotic analysis at large $$|z|$$.
4 KB (559 words) - 17:10, 10 August 2020
• [[File:Koriasmap.jpg|200px|thumb|Complex map of the asymptotic approximation [[korias]] with $$m\!=\!11$$; For large values of the argument, the asymptotic expansion of kori can be written in terms of amplitude and phase, in analog
14 KB (1,943 words) - 18:48, 30 July 2019
• ...tes strange symbols on board): In such a way, we come to Theorem 5: In the asymptotic representation, the group of pre-rotation of the poly-Grassmann isomorphic ...sense about the infinitely small quantities, it was nonsense; mathematical analysis has not been developed and the derivative had not been defined that time ..
4 KB (696 words) - 07:02, 1 December 2018
• Determines the asymptotic expansion [[Lof]] happened to be useful for the analysis and debugging of implementations of various functions.
3 KB (478 words) - 18:43, 30 July 2019
• The first term in the last expression determines the leading term in the asymptotic expansion of function [[mori]] at the small values of its argument. ...articular, those of function [[kori]], deserve the detailed investigation, analysis and description.
8 KB (1,256 words) - 18:44, 30 July 2019
• or from the asymptotic expansion of function [[kori]]. The asymptotic approximation can be written as follows:
15 KB (2,303 words) - 18:47, 30 July 2019

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