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  • z_type arctra(z_type z){return z-Tania(z-1.);} z_type tra(z_type z) {return z+exp(z);}
    1 KB (197 words) - 15:03, 20 June 2013
  • [[File:Ack3a600.jpg|400px|thumb|Base \(b=\sqrt{2}\approx 1.41\)]] [[File:Ack3b600.jpg|400px|thumb|Henryk base, \(b=\exp(1/\mathrm e)\approx 1.44\)]]
    5 KB (761 words) - 12:00, 21 July 2020
  • [[File:Noriplot300.jpg|400px|thumb|\(y=\mathrm{nori}(x)\) and \(y=100\mathrm{nori}(x)\) ]] [[File:Norifragment.jpg|300px|thumb|\(u\!+\!\mathrm i v=\mathrm{mori}\big(\sqrt{x\!+\!\mathrm i y}\big)^2=\mathrm{nori}(x\!+\!\mathrm i y)\)]]
    13 KB (1,759 words) - 18:45, 30 July 2019
  • ...pplied sequentially, one by one, in raw, for example, <math>A\Big(B\big(C(z)\big)\Big)</math>. :<math> \{ z \in \mathbb{C} : \Im(z)\ge 0 \} </math>.
    5 KB (753 words) - 18:47, 30 July 2019
  • [[File:Fracit05t150.jpg|300px]]\( t(z)=\frac{z}{0.5+z}~\); \(~y=t^n(x)\) versus \(x\) for various \(n\) [[File:Fracit10t150.jpg|300px]]\( t(z)=\frac{z}{1+z} ~\); \(~y=t^n(x)\) versus \(x\) for various \(n\)
    13 KB (2,088 words) - 06:43, 20 July 2020
  • [[File:978-620-2-67286-3-full.jpg|440px]] [[File:Ausintay40t50.jpg|240px]]<small><center><p style="line-height:100%">
    15 KB (2,166 words) - 20:33, 16 July 2023
  • \(\mathrm{Amos}(z)=\) \(\displaystyle ...ac{1}{2}\mathrm{Lof}(z)-\mathrm{Lof}\Big(\frac{z}{2}\Big)-\frac{\ln(2)}{2} z \right)\)
    6 KB (883 words) - 18:44, 30 July 2019
  • where \(\psi_n(z)=\frac{1}{\sqrt{N_n}}\)[[HermiteH]]\(_n(z)\, \exp(-z^2/2)\) is [[oscillator function]], [[File:Amoscplot.jpg|360px|right]]
    6 KB (770 words) - 18:44, 30 July 2019
  • For some reason, the compiler recognises [[exp]], [[log]], [[sin]], [[cos]], of complex argument, but fails with asin and z_type asin0(z_type z){ int m,M; z_type q,s; DB c[41]={
    4 KB (488 words) - 06:58, 1 December 2018
  • z_type tra(z_type z){ return z+exp(z);} z_type arctra1(z_type z){ static DB c[22]={0.,0.5,-0.0625,.005208333333333333, // 0 - 3
    2 KB (354 words) - 06:58, 1 December 2018
  • ...1emapT1000.jpg|200px|thumb|[[Complex map|Map]] of \(~f\!=\!\eta\!=\!\exp_{\exp(1/\mathrm e)}~\); here \(~u+\mathrm i v=f(x\!+\!\mathrm i y)~\) ]] [[File:Loge1emapT1000.jpg|200px|thumb|[[Complex map|Map]] of \(~f\!=\!\log_{\exp(1/\mathrm e)}~\); here \(~u+\mathrm i v=f(x\!+\!\mathrm i y)~\) ]]
    4 KB (559 words) - 17:10, 10 August 2020
  • ...xpQ2mapT.png|300px|thumb|[[Complex map|Map]] of [[exponent]] to base \(b=\sqrt{2}\); lines of constant \(u\) and lines of constant \(v\) show ...apT1000.jpg|300px|thumb|[[Complex map|Map]] of [[Logarithm]] to base \(b=\sqrt{2}\); lines of constant \(u\) and lines of constant \(v\) show
    3 KB (557 words) - 18:46, 30 July 2019
  • [[File:Boyt.jpg|360px|thumb|Sledge by http://en.wikipedia.org/wiki/File:Boy_on_snow_sled,_1945.jpg Father of JGKlein. Boy on snow sled, 1945.
    7 KB (1,031 words) - 03:16, 12 May 2021
  • \(A_{b,n}(z\!+\!1)=A_{b,n-1}\!\big( A_{b,n}(z)\big)\) ..., the real–holomorphism of ackermanns is assumed, \(A_{b,n}(z^*)=A_{b,n}(z)^*\).
    3 KB (496 words) - 18:45, 30 July 2019
  • F(z\!+\!1)=T(F(z)) \( \displaystyle \lim_{z\rightarrow \infty} F(z)=L\)
    11 KB (1,715 words) - 18:44, 30 July 2019
  • [[Hermite Gauss mode]] refers to the specific solution \(F=F(x,z)\) of equation then, assuming some large positive \(M\), expression \(M^2 z/k\) has sense of the coordinate along the propagation of wave, and \(M x/k\
    8 KB (1,216 words) - 18:43, 30 July 2019
  • [[File:Hermiten.jpg|300px|thumb| Normalised [[Hermite polynomial]]s, \(y=h_n(x)\) for \(n=2,3,4 [[File:Hermiten6map.jpg|312px|thumb| \(u\!+\!\mathrm i v=h_6(x\!+\!\mathrm i y\) ]]
    4 KB (628 words) - 18:47, 30 July 2019
  • [[File:Koriplot.jpg|400px|right]] [[File:KorimapFragment.jpg|400px|thumb|\(u\!+\!v=\mathrm{kori}(x\!+\!\mathrm i y)\)]]
    14 KB (1,943 words) - 18:48, 30 July 2019
  • TeXForm[TableForm[Table[Table[LaguerreL[n, m, z], {n, 0, 5}], {m, 0, 8}]]] 1 & 1-z & \frac{1}{2} \left(z^2-4 z+2\right) &
    5 KB (759 words) - 18:44, 30 July 2019
  • [[File:MagaplotFragment.jpg|300px|thumb|\(y\!=\!\mathrm{maga}(x)\) (thick black curve) and related func \(\mathrm{naga}(x)=\displaystyle 2 \int_0^\infty \mathrm{mori}(p )^2 \exp(\mathrm i p^2 x) \, p \,\mathrm d p\)
    8 KB (1,256 words) - 18:44, 30 July 2019

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