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Date Name Thumbnail Size User Description Versions
15:26, 9 October 2014 Kleinj.png (file) 611 KB Graveolens Plot of Klein's j-invariant, from my own render of it, in arb http://fredrikj.net/blog/2014/10/modular-forms-in-arb/ 1
17:04, 14 October 2014 Beta.png (file) 337 KB Tom   1
13:19, 5 January 2016 Riemannfunction.gif (file) 285 KB Tom R[x_, N_] := Sum[Sin[k^2*x]/k^2, {k, 1, N}] plotme = Table[ Plot[R[x, N], {x, -5, 5}, PlotLegends -> Placed[StringJoin["N=", ToString[N]], Bottom], PlotRange -> {-1.5, 1.5}, PlotStyle -> Thickness[0.001]], {N, 1, 25, 1}]; Export["ri... 1
22:34, 13 January 2015 Binomialcoefficientfunction.png (file) 254 KB Tom From the paper "The Binomial Coefficient Function" by David Fowler 1
17:42, 25 May 2016 Complexjacobisd,m=0.8plot.png (file) 232 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: ellipfun('sd',x,0.8),[-10,10],[-10,10],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{sd}(z,... 1
17:14, 25 May 2016 Complexjacobicn,m=0.8plot.png (file) 231 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: ellipfun('cn',x,0.8),[-10,10],[-10,10],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{cn}(z,... 1
17:28, 25 May 2016 Complexjacobids,m=0.8plot.png (file) 231 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: ellipfun('ds',x,0.8),[-10,10],[-10,10],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{ds}(z,... 1
17:31, 25 May 2016 Complexjacobinc,m=0.8plot.png (file) 231 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: ellipfun('nc',x,0.8),[-10,10],[-10,10],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{nc}(z,... 1
03:56, 21 August 2015 Domcolerfi.png (file) 219 KB Tom ComplexGraph[Erfi, {-7, 7}, {-7, 7}] 1
22:41, 23 May 2016 Complexfresnelsplot.png (file) 209 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(fresnels,[-3,3],[-3,3],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{S}(z)$.') plt.savefig('complexfr... 1
07:46, 16 May 2016 Complexairybiplot.png (file) 207 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(airybi,[-10,10],[-10,10],points=50000,verbose=True) plt.title('Domain coloring of $\mathrm{Bi}(z)$.') plt.savefig('complex... 1
22:44, 23 May 2016 Complexfresnelcplot.png (file) 207 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(fresnelc,[-3,3],[-3,3],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{C}(z)$.') plt.savefig('complexfr... 1
17:40, 25 May 2016 Complexjacobisc,m=0.8plot.png (file) 205 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: ellipfun('sc',x,0.8),[-10,10],[-10,10],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{sc}(z,... 1
17:20, 25 May 2016 Complexjacobics,m=0.8plot.png (file) 205 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: ellipfun('cs',x,0.8),[-10,10],[-10,10],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{cs}(z,... 1
17:26, 25 May 2016 Complexjacobidn,m=0.8plot.png (file) 203 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: ellipfun('dn',x,0.8),[-10,10],[-10,10],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{dn}(z,... 1
17:34, 25 May 2016 Complexjacobind,m=0.8plot.png (file) 203 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: ellipfun('nd',x,0.8),[-10,10],[-10,10],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{nd}(z,... 1
17:37, 25 May 2016 Complexjacobins,m=0.8plot.png (file) 199 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: ellipfun('ns',x,0.8),[-10,10],[-10,10],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{ns}(z,... 1
17:11, 25 May 2016 Complexjacobisn,m=0.8plot.png (file) 199 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: ellipfun('cn',x,0.8),[-10,10],[-10,10],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{cn}(z,... 1
22:15, 23 May 2016 Complexerfcplot.png (file) 195 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(erfc,[-5,5],[-5,5],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{erfc}(z)$.') plt.savefig('complexerf... 1
01:07, 11 June 2016 Complexkelvinker,n=0plot.png (file) 195 KB Tom Category:DomainColoring <pre> #!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: ker(0,x),[-15,15],[-15,15],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{ker}_{0}(z)$.') p... 1
01:14, 11 June 2016 Complexkelvinkei,n=0plot.png (file) 193 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: kei(0,x),[-15,15],[-15,15],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{kei}_{0}(z)$.') pl... 1
18:32, 5 July 2016 Complexjacobitheta1,q=0.5plot.png (file) 193 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: jtheta(1,x,0.5),[-4,4],[-4,4],points=50000,verbose=True) plt.title(r'Domain coloring of $\vartheta_1(z,1/2)$.')... 1
01:18, 24 May 2016 Complexbarnesgplot.png (file) 191 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(barnesg,[-7,8],[-7,8],points=50000,verbose=True) plt.title(r'Domain coloring of $G(z)$.') plt.savefig('complexbarnesgplot.... 1
07:22, 16 May 2016 Complexairyaiplot.png (file) 187 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(airyai,[-10,10],[-10,10],points=50000,verbose=True) plt.title('Domain coloring of $\mathrm{Ai}(z)$.') plt.savefig('complex... 2
05:36, 16 May 2016 Complexgammaplot.png (file) 186 KB Tom Category:Plot <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(gamma,[-7,7],[-7,7],points=500000,verbose=True) plt.title('Domain coloring of $\Gamma(z)$.') plt.savefig('complexgammaplot.png',bbox... 1
18:44, 5 July 2016 Complexjacobitheta4,q=0.5plot.png (file) 186 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: jtheta(4,x,0.5),[-4,4],[-4,4],points=50000,verbose=True) plt.title(r'Domain coloring of $\vartheta_4(z,1/2)$.')... 1
17:17, 25 May 2016 Complexjacobicd,m=0.8plot.png (file) 185 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: ellipfun('cd',x,0.8),[-10,10],[-10,10],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{cd}(z,... 1
22:54, 13 January 2015 Absvalgamma.png (file) 185 KB Tom From http://www.jstor.org/discover/10.2307/2309786?sid=21105065140641&uid=3739256&uid=2129&uid=70&uid=3739744&uid=4&uid=2 1
17:23, 25 May 2016 Complexjacobidc,m=0.8plot.png (file) 184 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: ellipfun('dc',x,0.8),[-10,10],[-10,10],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{dc}(z,... 1
00:55, 11 June 2016 Complexkelvinbei,n=1plot.png (file) 180 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: bei(1,x),[-15,15],[-15,15],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{bei}_{1}(z)$.') pl... 1
00:37, 11 June 2016 Complexkelvinber,n=1plot.png (file) 180 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: ber(1,x),[-15,15],[-15,15],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{ber}_1(z)$.') plt.... 1
18:37, 5 July 2016 Complexjacobitheta2,q=0.5plot.png (file) 180 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: jtheta(2,x,0.5),[-4,4],[-4,4],points=50000,verbose=True) plt.title(r'Domain coloring of $\vartheta_2(z,1/2)$.')... 1
00:51, 11 June 2016 Complexkelvinbei,n=0plot.png (file) 179 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: bei(0,x),[-15,15],[-15,15],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{bei}_{0}(z)$.') pl... 1
00:35, 11 June 2016 Complexkelvinber,n=0plot.png (file) 178 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: ber(0,x),[-15,15],[-15,15],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{ber}_0(z)$.') plt.... 1
22:39, 9 June 2016 Complexscorergi.png (file) 177 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(scorergi,[-10,10],[-10,10],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{Gi}(z)$.') plt.savefig('comp... 1
08:45, 16 May 2016 Complexqgammaq=2plot.png (file) 172 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * def f(x): return qgamma(x,2) cplot(f,[-10,10],[-10,10],points=50000,verbose=True) plt.title('Domain coloring of $\Gamma... 1
18:41, 5 July 2016 Complexjacobitheta3,q=0.5plot.png (file) 172 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: jtheta(3,x,0.5),[-4,4],[-4,4],points=50000,verbose=True) plt.title(r'Domain coloring of $\vartheta_3(z,1/2)$.')... 1
00:12, 24 May 2016 Complexreciprocalgammaplot.png (file) 172 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(rgamma,[-5,5],[-5,5],points=50000,verbose=True) plt.title(r'Domain coloring of $1/\Gamma(z)$.') plt.savefig('complexrecipr... 1
19:13, 3 June 2016 Complexpolygamma,k=5plot.png (file) 169 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: polygamma(5,x),[-8,8],[-8,8],points=50000,verbose=True) plt.title(r'Domain coloring of $\psi^{(5)}(z)$.') plt.sa... 1
19:09, 3 June 2016 Complexpolygamma,k=4plot.png (file) 163 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: polygamma(4,x),[-8,8],[-8,8],points=50000,verbose=True) plt.title(r'Domain coloring of $\psi^{(4)}(z)$.') plt.sa... 1
05:39, 19 October 2014 Complex Riemann Xi.jpg (file) 162 KB Tom http://commons.wikimedia.org/wiki/File:Complex_Riemann_Xi.jpg 1
17:36, 23 May 2016 Complexerrorplot.png (file) 160 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(erf,[-5,5],[-5,5],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{erf}(z)$.') plt.savefig('complexerror... 1
22:21, 23 May 2016 Complexerfiplot.png (file) 158 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(erfi,[-5,5],[-5,5],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{erfi}(z)$.') plt.savefig('complexerf... 1
19:04, 3 June 2016 Complexpolygamma,k=3plot.png (file) 155 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: polygamma(3,x),[-8,8],[-8,8],points=50000,verbose=True) plt.title(r'Domain coloring of $\psi^{(3)}(z)$.') plt.sa... 1
20:17, 7 February 2016 Complexcosineglyph.png (file) 149 KB Tom Category:Cosineglyph 1
00:06, 28 February 2016 Complexarcsecantglyph.png (file) 148 KB Tom Category:Arcsecantglyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.5, 2.5 cplot(lambda x: asec(x),[-1,1],[-1,1],points=400000,verbose=Tr... 1
21:41, 27 February 2016 Complexarccosecantglyph.png (file) 148 KB Tom Category:Arccosecant <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.5, 2.5 cplot(lambda x: acsc(x),[-2,2],[-2,2],points=400000,verbose=True)... 1
04:10, 26 February 2016 Complexarctangentglyph.png (file) 148 KB Tom Category:Arctangentglyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.5, 2.5 cplot(lambda x: atan(x),[-2,2],[-2,2],points=400000,verbose=T... 1
20:30, 7 February 2016 Complexcosecantglyph.png (file) 148 KB Tom Category:Cosecantglyph 1
21:00, 7 February 2016 Complexcotangentglyph.png (file) 148 KB Tom Category:Cotangentglyph 1
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