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File:SazaeconT.png Graphics of functions [[Cohc]] and [[Cosc]]. Meanings of constants [[Sazae]], [[Tarao]], [[Fune]] [[Category:Mathematical constant]](2,118 × 1,682 (216 KB)) - 09:41, 21 June 2013File:Superfactocomple1.png [[Category:Mathematical function]] [[Category:Mathematical functions]](706 × 706 (172 KB)) - 00:10, 29 February 2024File:Tet10bxr.jpg [[Category:Mathematical functions]](2,491 × 1,952 (236 KB)) - 08:53, 1 December 2018File:Tetreal10bx10d.png [[Category:Mathematical functions]](2,192 × 2,026 (436 KB)) - 13:56, 5 August 2020File:Tetreal2215.gif [[Category:Mathematical functions]](876 × 881 (111 KB)) - 09:38, 21 June 2013- ...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 ...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 others587 KB (105,318 words) - 13:23, 7 April 2023
- [[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
- ...justed parameters. (Here, \(M_2\) is not an adjusting parameter, but exact mathematical constant). Similar goal can be formulated for the numerical implementation ...tegration. This observation caused the need to perform certain analysis of functions [[mori]], [[nori]], [[naga]] and [[maga]].13 KB (1,759 words) - 18:45, 30 July 2019
- 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
- ...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. ..</i15 KB (1,750 words) - 18:44, 30 July 2019
- [[Conjugation]] is certain type of transformation of mathematical objects. This applies both to functions and to numbers.6 KB (921 words) - 18:46, 30 July 2019
- ...to describe the theoretical values of a physical quantity. In this manner, mathematical notation serves as a common language for expressing ideas and results acros ...ers e and <math>\pi</math>, etvetera. Such names form the basics of the '''mathematical notations'''.5 KB (753 words) - 18:47, 30 July 2019
File:Exp1mapT200.jpg ...-4/S0273-0979-1993-00432-4.pdf Walter Bergweiler. Iteration of meromorphic functions. Bull. Amer. Math. Soc. 29 (1993), 151-188. D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45.(2,281 × 1,179 (1.14 MB)) - 12:37, 28 July 2013File:Exp09mapT200.jpg ...-4/S0273-0979-1993-00432-4.pdf Walter Bergweiler. Iteration of meromorphic functions. Bull. Amer. Math. Soc. 29 (1993), 151-188. D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45.(2,281 × 1,179 (1.23 MB)) - 12:28, 28 July 2013- 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 expone7 KB (1,161 words) - 18:43, 30 July 2019
File:Exm01mapT200.jpg The complex double implementations [[FSEXP]] and [[FSLOG]] of these functions are used in the [[C++]] code below. ...-4/S0273-0979-1993-00432-4.pdf Walter Bergweiler. Iteration of meromorphic functions. Bull. Amer. Math. Soc. 29 (1993), 151-188.(2,281 × 1,179 (834 KB)) - 12:52, 28 July 2013File:Exm05mapT200.jpg ...-4/S0273-0979-1993-00432-4.pdf Walter Bergweiler. Iteration of meromorphic functions. Bull. Amer. Math. Soc. 29 (1993), 151-188. D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45.(2,281 × 1,179 (705 KB)) - 12:54, 28 July 2013File:Exm09mapT200.jpg ...-4/S0273-0979-1993-00432-4.pdf Walter Bergweiler. Iteration of meromorphic functions. Bull. Amer. Math. Soc. 29 (1993), 151-188. D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45.(2,281 × 1,179 (560 KB)) - 12:56, 28 July 2013File:Exm1mapT200.jpg ...-4/S0273-0979-1993-00432-4.pdf Walter Bergweiler. Iteration of meromorphic functions. Bull. Amer. Math. Soc. 29 (1993), 151-188. D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45.(2,281 × 1,179 (544 KB)) - 12:47, 28 July 2013- 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 it13 KB (2,088 words) - 06:43, 20 July 2020
- ...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
File:2015ruble2.jpg ...the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 838(1,726 × 709 (248 KB)) - 08:26, 1 December 2018File:2015ruble3.jpg ...the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 838(1,726 × 684 (266 KB)) - 08:26, 1 December 2018File:2016ruble1.jpg ...the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 838(2,764 × 684 (414 KB)) - 08:27, 1 December 2018File:Ackerplot.jpg ...vladie.pdf D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45. ...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 ((2,800 × 4,477 (726 KB)) - 08:28, 1 December 2018File:Ackerplot400.jpg ...vladie.pdf D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45. ...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 ((3,355 × 4,477 (805 KB)) - 08:29, 1 December 2018File:Analuxp01t400.jpg ...this figure, $u$ and $v$ are [[logamplitude]] and [[phase]] of the plotted functions; not the real and imaginary parts, as usually. ...power and ultra exponential functions”. Integral Transforms and Special Functions 17 (8), 549-558 (2006)(2,083 × 3,011 (1.67 MB)) - 08:29, 1 December 2018File:Analuxp01u400.jpg ...power and ultra exponential functions”. Integral Transforms and Special Functions 17 (8), 549-558 (2006) Parameter $r$ provides the match of the two asymptotics. It is fundamental mathematical constant;(2,083 × 3,011 (1.72 MB)) - 08:29, 1 December 2018File:Nembrant.jpg ...mydns.jp/PAPERS/2014susin.pdf D.Kouznetsov. Super sin. Far East Jourmal of Mathematical Science, v.85, No.2, 2014, pages 219-238. ...onstruction of [[exotic iterate]]s; they can be constructed for asymmetric functions too.(361 × 871 (65 KB)) - 08:44, 1 December 2018File:Ruble85210a.png ...the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 838(1,519 × 689 (217 KB)) - 08:50, 1 December 2018File:Sutralomap.jpg with two its approximations with entire functions, ...013.pdf D.Kouznetsov. Entire Function with Logarithmic Asymptotic. Applied Mathematical Sciences, Vol. 7, 2013, no. 131, 6527 - 6541(2,533 × 1,254 (1.26 MB)) - 08:53, 1 December 2018File:Vladi07.jpg Maps of agreement of approximations of natural [[tetration]] with elementary functions [[fima]] and [[maclo]], used in the implementation [[fsexp.cin]]. D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45.(741 × 383 (100 KB)) - 08:56, 1 December 2018File:Vladi08.jpg Agreement of approximations of tetration by elementary functions with the original representation through the Cauchi integral is shown in th D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45.(787 × 375 (117 KB)) - 08:56, 1 December 2018- where \(M=209 ~\) is total number of experimental data. Approximating functions are specified below: ...the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 8385 KB (433 words) - 18:47, 30 July 2019
- 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
- Term [[Applied Mathematical Sciences]] may refer to one of the two following [[scientific journal]]s: [[HIKARI Applied Mathematical Sciences]] http://www.m-hikari.com/ams/4 KB (610 words) - 06:58, 1 December 2018
- ...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 happened18 KB (2,080 words) - 13:48, 1 February 2022
- 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
- ...ion of the first three [[Ackermann function]]s functions and their inverse functions. The first three ackermann functions are3 KB (496 words) - 18:45, 30 July 2019
- [[HIKARI Applied Mathematical Sciences]] is scientific journal, APPLIED MATHEMATICAL SCIENCES.3 KB (386 words) - 07:01, 1 December 2018
- ...he spherical coordinates, their names, and different order of arguments of functions dependent on these coordinates. ...quantity should not be confused with integer parameter \(\ell\), nor with mathematical constant8 KB (1,254 words) - 18:44, 30 July 2019
- In application of mathematical analysis, all functions are known with some finite precision, and the first approximation may negle4 KB (670 words) - 18:46, 30 July 2019
- The additional condition, common for all ackermann functions is assumed, ...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
- 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. A4 KB (680 words) - 18:43, 30 July 2019
- [[Special function]] is any mathematical function, supplied with the following: ...lation of the function to other elementary functions or with other special functions, defined earlier; even if the relation is asymptotic or approximate.7 KB (991 words) - 18:48, 30 July 2019
- ...ydns.jp/PAPERS/2014susin.pdf D.Kouznetsov. Super sin. Far East Journal of Mathematical Science, v.85, No.2, 2014, pages 219-238. ...-4/S0273-0979-1993-00432-4.pdf Walter Bergweiler. Iteration of meromorphic functions. Bull. Amer. Math. Soc. 29 (1993), 151-188</ref>.15 KB (2,314 words) - 18:48, 30 July 2019
- ...the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 83838 KB (636 words) - 18:37, 30 July 2019
- ...the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 83844 KB (813 words) - 13:37, 14 April 2023
- ...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
- ...mpiled so that it is convenient to disassemble. True, you need to know the mathematical economy, but it runs in parallel, this is part of mathematics. ...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 d367 KB (65,743 words) - 15:48, 1 February 2019