Search results

Jump to: navigation, search

Create the page "Suzex" on this wiki! See also the search results found.

Page title matches

  • SuZex
    [[File:SuZexD1mapT.png|400px|thumb| Fig.2. Map \(u\!+\!\mathrm i v=\mathrm{SuZex}(x\!+\!\mathrm i y)\)]] [[SuZex]] is [[superfunction]] of [[ArcLambertW]], denoted also as [[zex]], \(\math
    7 KB (1,076 words) - 18:25, 30 July 2019
  • SuZex approximation
    ...Fig.2.[[Complex map]] of function [[SuZex]]: \(~u\!+\!\mathrm i v= \mathrm{SuZex}(x_1+x\!+\!\mathrm i y)\)]] ...ght. Below, it is compared to similar maps for various approximations of [[SuZex]] with elementary functions. All the maps are supposed to be displayed in t
    14 KB (2,037 words) - 18:25, 30 July 2019

Page text matches

  • Superfunction
    [[SuZex]],
    25 KB (3,622 words) - 08:35, 3 May 2021
  • SuperFactorial
    «[[SuZex]]», «[[SuZex approximation]]»,
    18 KB (2,278 words) - 00:03, 29 February 2024
  • LambertW function
    Such a shortening is used in order to simplify creation of such names as [[SuZex]] ([[superfunction]] of zex) and [[AbelZex]] ([[Abel function]] of [[zex]]) [[SuZex]],
    8 KB (1,107 words) - 18:26, 30 July 2019
  • Table of superfunctions
    | \(~ \mathrm{SuZex}(z)\) | [[Zex]], [[LambertW]], [[SuZex]], [[AuZex]]
    11 KB (1,565 words) - 18:26, 30 July 2019
  • Iteration
    \(~T^n(z)\!=\! \mathrm{SuZex}\Big(n\!+\!\mathrm{AuZez}(z)\Big)~\) can be expressed through functions [[SuZex]] and [[AuZex]], which are, of course, [[superfunction]] and [[Abel functio
    14 KB (2,203 words) - 06:36, 20 July 2020
  • ArcLambertW
    ==[[SuZex]] and [[AuZex]]== ...treated as a [[transfer function]]. Its [[superfunction]] is denoted as [[SuZex]]. This function satisfies the [[transfer equation]]
    3 KB (499 words) - 18:25, 30 July 2019
  • SuZex
    [[File:SuZexD1mapT.png|400px|thumb| Fig.2. Map \(u\!+\!\mathrm i v=\mathrm{SuZex}(x\!+\!\mathrm i y)\)]] [[SuZex]] is [[superfunction]] of [[ArcLambertW]], denoted also as [[zex]], \(\math
    7 KB (1,076 words) - 18:25, 30 July 2019
  • SuZexTay0co.cin
    // Coefficients of the Taylor expansion at zero of function [[SuZex]]. [[SuZex]], [[C++]], [[Superfunction]], [[zex]], [[LambertW]]
    3 KB (107 words) - 15:01, 20 June 2013
  • SuZex approximation
    ...Fig.2.[[Complex map]] of function [[SuZex]]: \(~u\!+\!\mathrm i v= \mathrm{SuZex}(x_1+x\!+\!\mathrm i y)\)]] ...ght. Below, it is compared to similar maps for various approximations of [[SuZex]] with elementary functions. All the maps are supposed to be displayed in t
    14 KB (2,037 words) - 18:25, 30 July 2019
  • SuZexCoef20.cin
    // Coefficients in the expansion of [[SuZex]] at large values of the argument, // SuZex(z-x_1)=a[0][0]/z + (a[1][0]+a[1][1]L)/z^2 + (a[2][0]+a[2][1] L + a[2][2]L^2
    6 KB (180 words) - 15:01, 20 June 2013
  • SuZexTay2008co.cin
    ...n \(Q_{20}\), used for the [[complex double]] implementation of function [[SuZex]]. [[Category:SuZex]]
    3 KB (139 words) - 18:47, 30 July 2019
  • SuZex.cin
    // [[SuZex.cin]] is the [[C++]] implementation of function [[SuZex]] <br> // See [[SuZex approximation]] for the details. <br>
    12 KB (682 words) - 07:06, 1 December 2018
  • AuZex.cin
    ...tation in [[C++]] of function [[AuZex]], with is [[inverse function]] of [[SuZex]] and the [[Abel function]] of function [[LambertW]]; the [[AuZex approxima // #include "SuZex.cin"
    3 KB (274 words) - 15:01, 20 June 2013
  • AuZex
    [[Auzex]] is inverse function of [[SuZex]]; \(\mathrm{AuZex} = \mathrm{SuZex}^{-1}\) [[AuZex]] is [[Inverse function]] of [[SuZex]], so, in wide ranges of values of \(z\), the relations
    6 KB (899 words) - 18:44, 30 July 2019
  • Trappmann function
    [[SuZex]] and [[AuZex]] of the [[superfunction]] and the [[Abel function]] of trans Asymptotically, SuZex behaves like a linear function while the real part of the argument is negat
    9 KB (1,320 words) - 11:38, 20 July 2020
  • SuTra
    (6) \(~ ~ ~ \mathrm{SuTra}(z)=\ln\Big( \mathrm{SuZex}(z)\Big)\) functions [[SuZex]] and [[AuZex]], which are [[superfunction]] and the [[Abel function]] for
    9 KB (1,285 words) - 18:25, 30 July 2019
  • AuTra
    ...is used also for many other [[superfunction]]s, including [[tetration]], [[SuZex]] function, [[Tania function]] and [[Shoka function]]. [[SuZex]]
    6 KB (1,009 words) - 18:48, 30 July 2019
  • AuTra.cin
    #include "SuZex.cin" z_type sutra0(z_type z){ return log(suzex(z));}
    1 KB (197 words) - 15:03, 20 June 2013
  • File:AuTraMapT.jpg
    // Files [[ado.cin]], [[conto.cin]], [[tania.cin]], [[LambertW.cin]], [[SuZex.cin]], [[AuZex.cin]] should be loaded to the working directory in order to #include "SuZex.cin"
    (4,367 × 4,317 (1.82 MB)) - 08:30, 1 December 2018
  • File:AuTraPlotT.jpg
    // Files [[ado.cin]], [[tania.cin]], [[LambertW.cin]], [[SuZex.cin]], [[AuZex.cin]] should be loaded to the working directory in order to #include "SuZex.cin"
    (1,678 × 1,262 (172 KB)) - 08:30, 1 December 2018
  • File:AuZexLamPlotT.jpg
    // #include "SuZex.cin" // DO(m,1300){y=-2. +.01*m; x=Re(suzex(y)); if(m==0) M(x,y) else L(x,y) if(x>12) break;} fprintf(o,".06 W 0 1 1 R
    (2,508 × 841 (169 KB)) - 08:30, 1 December 2018
  • File:AuZexMapT.jpg
    [[Complex map]] of function [[AuZex]], inverse function of [[SuZex]] and [[Abel function]] of function [[zex]]. // Files [[Tania.cin]], [[SuZex.cin]], [[LambertWoCoe.inc]], [[LambertWeCoe.cin]]
    (4,367 × 4,326 (1.53 MB)) - 08:30, 1 December 2018
  • File:ExpIte4T.jpg
    //#include "SuZex.cin" // z_type F(z_type z){ return log(suzex(z));}
    (1,673 × 1,673 (901 KB)) - 08:35, 1 December 2018
  • File:SuTraMapT.jpg
    // Files [[ado.cin]], [[conto.cin]], [[Tania.cin]], [[LambertW.cin]], [[SuZex.cin]] #include "SuZex.cin"
    (4,176 × 4,176 (1.76 MB)) - 08:53, 1 December 2018
  • File:SuTraPlo3T.jpg
    // Files [[ado.cin]], [[SuZex.cin]], [[LambertW.cin]] and [[Tania.cin]] sould be loaded to the working di #include "SuZex.cin"
    (1,262 × 1,694 (182 KB)) - 08:53, 1 December 2018
  • File:SuZex0map48small.png
    [[Complex map]] of the truncated [[Taylor expansion]] of function [[SuZex]] at zero; polynomial $P_{48}$ is plotted, $u\!+\!\mathrm i v= P_{48}(x\!+\ $\displaystyle \mathrm{SuZex}(z) \approx P_{48}(z)=\sum_{n=0}^{48} \,c_n\, z^n$
    (1,230 × 1,230 (734 KB)) - 09:43, 21 June 2013
  • File:SuZexD1mapT.png
    [[Complex map]] of function [[SuZex]], which is entire [[superfunction]] of [[Zex]], $\mathrm{zex}(z)=z\exp(z)$ $u\!+\!\mathrm i v = \mathrm{SuZex}(c\!+\!\mathrm i y)$
    (2,576 × 2,559 (1.04 MB)) - 08:53, 1 December 2018
  • File:SuZexMapSmall48c.png
    Overlap of [[complex map]]s for function [[SuZex]] and that for its truncated [[Taylor expansion]] at zero with last term of [[Category:SuZex]]
    (1,230 × 1,230 (970 KB)) - 09:43, 21 June 2013
  • File:SuZexMapT.jpg
    [[Complex map]] of function [[SuZex]], superfunction of [[zex]]$(z)~=z\,\exp(z)$. $u\!+\!\mathrm i v= \mathrm{SuZex}(z\!+\!\mathrm i y)$.
    (4,576 × 4,542 (1.77 MB)) - 09:43, 21 June 2013
  • File:SuZexo20testTjpg.jpg
    [[Agreement map]] for the asymptotic approximation $Q_{20}$ of function [[SuZex]]. z_type suzex(z_type z){int m,n; z_type s;
    (4,576 × 4,542 (1.81 MB)) - 17:14, 25 September 2013
  • File:SuZexoMapJPG.jpg
    [[SuZex approximation]] at large values of the argument. [[Complex map]] of the asymptotic expansion $Q_{20}$ of function [[SuZex]]; $~u\!+\!\mathrm i v\!=Q_{20}\!(x\!+\!\mathrm i y)$.
    (4,576 × 4,542 (1.73 MB)) - 17:15, 25 September 2013
  • Error creating thumbnail: File with dimensions greater than 12.5 MP
    		File:SuZexoMapT.png
    [[Complex map]] of the asymptotic expansion $Q_{20}$ of function [[SuZex]]; $u\!+\!\mathrm i v\!=Q_{20}(x\!+\!\mathrm i y)$. [[Category:SuZex]]
    (4,576 × 4,542 (1.57 MB)) - 09:43, 21 June 2013
  • File:SuZexPlot511T.jpg
    [[Explicit plot]] of function [[SuZex]] in comparison to its transfer function [[zex]]$(z)\!=\!z\,\exp(z)$: $y\!=\!\mathrm{SuZex}(x)$ and
    (1,055 × 2,292 (188 KB)) - 08:53, 1 December 2018
  • File:SuZexTay0testT.png
    Agreement $A_{48}$ of the [[Taylor approximation]] of the [[SuZex]] at zero with highest term of 48th power; $\displaystyle \mathrm{SuZex}(z) \approx P_{48}(z)=\sum_{n=0}^{48} \,c_n\, z^n$
    (1,230 × 1,230 (354 KB)) - 09:43, 21 June 2013
  • Error creating thumbnail: File with dimensions greater than 12.5 MP
    		File:SuZexTay2008deviT.png
    Map of agreement $C_{80}$ of the approximation $\Phi$ of the [[SuZex]].
    (4,576 × 4,542 (1.54 MB)) - 09:43, 21 June 2013
  • File:SuZexTay2008deviTjpg.jpg
    ...ment $C_{80}$ of the approximation $\Phi$ to the function [[SuZex]], see [[SuZex approximation]] for the description. // [[SuZex.cin]] below is the [[C++]] implementation of function [[SuZex]]
    (4,576 × 4,542 (1.93 MB)) - 17:14, 25 September 2013
  • File:SuZexTay2008t12MapT.jpg
    [[Complex map]] of the [[Taylor expansion]] $\Phi_{12}$ of function [[SuZex]] at point $x_1\!+\!12$; the constant $x_1$ is chosen in such a way that // [[SuZex.cin]] below is the [[C++]] implementation of function [[SuZex]]
    (4,576 × 4,542 (1.71 MB)) - 09:43, 21 June 2013
  • File:TraItT.jpg
    #include "SuZex.cin" z_type F(z_type z){ return log(suzex(z));}
    (1,258 × 1,258 (604 KB)) - 08:54, 1 December 2018
  • File:TraItu3T.jpg
    // Files [[ado.cin]], [[Tania.cin]], [[LambertW.cin]], [[SuZex.cin]], [[AuZex.cin]] #include "SuZex.cin"
    (1,258 × 1,258 (346 KB)) - 09:44, 21 June 2013
  • File:ZexIteT.jpg
    ...through the [[superfunction]] of [[zex]] and its [[abelfunction]], named [[SuZex]] and [[AuZex]], as follows: $ \mathrm{zex}^n(x)=\mathrm{SuZex}\Big(n+\mathrm{AuZex}(x)\Big)$
    (2,508 × 2,508 (973 KB)) - 10:31, 20 July 2020
  • Sutran.cin
    ...sutra.cin]], that evaluates the same function [[SuTra]] through function [[SuZex]] // #include "SuZex.cin"
    3 KB (351 words) - 18:48, 30 July 2019
  • Superfunctions
    [[SuZex]],
    15 KB (2,166 words) - 20:33, 16 July 2023
  • File:Exp1exp2t.jpg
    //#include "SuZex.cin" // z_type F(z_type z){ return log(suzex(z));}
    (1,278 × 875 (296 KB)) - 08:35, 1 December 2018
  • File:Sutraamap.jpg
    //DB x1=-1.1259817765745026; DO(n,8){ y=Re(suzex(x1)); x=y-1.; x1+=-1.2*x; printf("%18.16f %18.16f\n", x1,y);} getchar();
    (4,562 × 2,175 (1.27 MB)) - 08:53, 1 December 2018
  • File:Sutralomap.jpg
    //#include "SuZex.cin" // z_type sutra(z_type z){ if( Re(z)<2. || fabs(Im(z))>2. ) return log(suzex(z));
    (2,533 × 1,254 (1.26 MB)) - 08:53, 1 December 2018
  • File:SutranmapTb.jpg
    //#include "SuZex.cin" // z_type sutra(z_type z){ if( Re(z)<2. || fabs(Im(z))>2. ) return log(suzex(z));
    (4,175 × 4,175 (1.75 MB)) - 08:53, 1 December 2018
  • File:SutrapagT100.jpg
    //DB x1=-1.1259817765745026; DO(n,8){ y=Re(suzex(x1)); x=y-1.; x1+=-1.2*x; printf("%18.16f %18.16f\n", x1,y);} getchar();
    (6,143 × 2,916 (1.11 MB)) - 08:53, 1 December 2018
  • File:TraplotT.jpg
    #include "SuZex.cin" z_type F(z_type z){ return log(suzex(z));}
    (1,050 × 1,677 (166 KB)) - 10:33, 20 July 2020
  • Exotic iteration
    This transfer function is considered in articles [[zex]], [[SuZex]] and [[AuZex]]. [[SuZex]] and [[SuSin]].
    11 KB (1,715 words) - 18:44, 30 July 2019
  • Суперфункции
    [[SuZex]], [[Category:SuZex]]
    19 KB (1,132 words) - 20:36, 16 July 2023
Retrieved from "https://mizugadro.mydns.jp/t/index.php/Special:Search"