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22:46, 9 June 2016 Complexscorerhi.png (file) 147 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(scorerhi,[-10,10],[-10,10],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{Hi}(z)$.') plt.savefig('comp... 1
19:02, 3 June 2016 Complexpolygamma,k=2plot.png (file) 144 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: polygamma(2,x),[-8,8],[-8,8],points=50000,verbose=True) plt.title(r'Domain coloring of $\psi^{(2)}(z)$.') plt.sa... 1
07:06, 24 May 2016 Complexbesselj5plot.png (file) 143 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: besselj(5,x),[-15,15],[-15,15],points=50000,verbose=True) plt.title(r'Domain coloring of $J_5(z)$.') plt.savefig... 1
21:59, 23 May 2016 Complexchiplot.png (file) 139 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(chi,[-15,15],[-15,15],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{Chi}(z)$.') plt.savefig('complexc... 1
19:27, 10 June 2016 Multiplebesseljplot.png (file) 139 KB Tom Category:Plot <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 10, 10 x=np.arange(-40,40,0.01); j0=np.vectorize(lambda x: besselj(0,x)) j1=np.vec... 2
03:58, 22 June 2016 Complexeulerphiplot.png (file) 139 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: qp(x),[-1,1],[-1,1],points=100000,verbose=True) plt.title(r'Domain coloring of $\phi(z)$.') plt.savefig('complex... 1
21:36, 23 May 2016 Complexsiplot.png (file) 138 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(si,[-15,15],[-15,15],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{Si}(z)$.') plt.savefig('complexsip... 1
22:09, 23 May 2016 Complexshiplot.png (file) 137 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(shi,[-15,15],[-15,15],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{Shi}(z)$.') plt.savefig('complexs... 1
21:33, 23 May 2016 Complexciplot.png (file) 137 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(ci,[-15,15],[-15,15],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{Ci}(z)$.') plt.savefig('complexcip... 1
05:45, 17 May 2016 Complexsincplot.png (file) 132 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(sinc,[-10,10],[-10,10],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{sinc}(z)$.') plt.savefig('comple... 1
04:57, 19 October 2014 Complex arccos.jpg (file) 131 KB Tom http://en.wikipedia.org/wiki/File:Complex_arccos.jpg 1
05:33, 17 May 2016 Complexcoshcplot.png (file) 131 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * def f(x): return cosh(x)/x cplot(f,[-10,10],[-10,10],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm... 1
04:54, 25 July 2015 Page 998.jpg (file) 127 KB Tom http://dualaud.net/specialfunctionswiki/abramowitz_and_stegun-1.03/page_998.htm 1
20:38, 19 February 2015 Complexidentity.png (file) 125 KB Tom ident[z_] := z ComplexGraph[ident, {-10, 10}, {-10, 10}], where ComplexGraph is defined in format notes 1
20:06, 9 June 2016 Complexbessely,n=0.png (file) 124 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: bessely(0,x),[-8,8],[-8,8],points=50000,verbose=True) plt.title(r'Domain coloring of $Y_0(z)$.') plt.savefig('co... 1
18:57, 3 June 2016 Complexpolygamma,k=1plot.png (file) 123 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: polygamma(1,x),[-8,8],[-8,8],points=50000,verbose=True) plt.title(r'Domain coloring of $\psi^{(1)}(z)$.') plt.sa... 1
20:08, 9 June 2016 Complexbessely,n=1.png (file) 122 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: bessely(1,x),[-8,8],[-8,8],points=50000,verbose=True) plt.title(r'Domain coloring of $Y_1(z)$.') plt.savefig('co... 1
07:02, 24 May 2016 Complexbesselj0plot.png (file) 121 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: besselj(0,x),[-15,15],[-15,15],points=50000,verbose=True) plt.title(r'Domain coloring of $J_0(z)$.') plt.savefig... 1
07:10, 24 May 2016 Complexbesselj0.5plot.png (file) 121 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: besselj(0.5,x),[-15,15],[-15,15],points=50000,verbose=True) plt.title(r'Domain coloring of $J_{1/2}(z)$.') plt.s... 1
18:31, 28 June 2015 Modifiedstruve(abramandstegun).png (file) 120 KB Tom http://dualaud.net/specialfunctionswiki/abramowitz_and_stegun-1.03/page_498.htm 1
23:22, 10 June 2016 Complexbesseli,n=0plot.png (file) 119 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: besseli(0,x),[-15,15],[-15,15],points=50000,verbose=True) plt.title(r'Domain coloring of $I_0(z)$.') plt.savefig... 1
17:14, 23 May 2016 Complexanger0.5plot.png (file) 118 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * def angerintegrand(t,n,x): return cos(n*t-x*sin(t)) def anger(n,x): return (1/pi)*quad(lambda t: angerintegrand(... 1
16:59, 23 May 2016 Complexanger0plot.png (file) 118 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * def angerintegrand(t,n,x): return cos(n*t-x*sin(t)) def anger(n,x): return (1/pi)*quad(lambda t: angerintegrand(... 1
23:24, 10 June 2016 Complexbesseli,n=1plot.png (file) 117 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: besseli(1,x),[-15,15],[-15,15],points=50000,verbose=True) plt.title(r'Domain coloring of $I_1(z)$.') plt.savefig... 1
06:03, 10 June 2015 Page 359Abramowitz-Stegun(Bessel functions).jpg (file) 115 KB Tom Source Abramowitz&Stegun pg.359: http://dualaud.net/specialfunctionswiki/abramowitz_and_stegun-1.03/page_359.htm 1
17:33, 23 May 2016 Complexanger1plot.png (file) 115 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * def angerintegrand(t,n,x): return cos(n*t-x*sin(t)) def anger(n,x): return (1/pi)*quad(lambda t: angerintegrand(... 1
18:48, 28 June 2015 Gamma and reciprocal gamma (abramowitzandstegun).png (file) 114 KB Tom http://dualaud.net/specialfunctionswiki/abramowitz_and_stegun-1.03/page_255.htm 1
18:53, 25 July 2015 Domain coloring fresnel s.png (file) 113 KB Tom ComplexGraph[FresnelS, {-3, 3}, {-3, 3}] 1
20:14, 23 May 2016 Complexanger1.5plot.png (file) 112 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * def angerintegrand(t,n,x): return cos(n*t-x*sin(t)) def anger(n,x): return (1/pi)*quad(lambda t: angerintegrand(... 1
18:52, 25 July 2015 Domain coloring fresnel c.png (file) 112 KB Tom ComplexGraph[FresnelC, {-3, 3}, {-3, 3}] 1
04:27, 3 October 2016 Complexcoversinplot.png (file) 112 KB Tom Category:DomainColoring <pre> #!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: 1-sin(x),[-10,10],[-10,10],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{coversin}(x)$.')... 1
04:16, 4 October 2016 Complexversinplot.png (file) 112 KB Tom Category:DomainColoring <pre> #!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: 1-cos(x),[-10,10],[-10,10],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{versin}(z)$.') pl... 2
17:45, 25 July 2015 Page 374 (Abramowitz&Stegun).jpg (file) 110 KB Tom http://dualaud.net/specialfunctionswiki/abramowitz_and_stegun-1.03/page_374.htm 1
05:25, 19 October 2014 Complex ArcSinh.jpg (file) 110 KB Tom   1
18:42, 28 June 2015 Lowerincompletegamma(abramowitzandstegun).jpg (file) 108 KB Tom http://dualaud.net/specialfunctionswiki/abramowitz_and_stegun-1.03/page_261.htm 1
05:26, 19 October 2014 Complex ArcTanh.jpg (file) 107 KB Tom http://en.wikipedia.org/wiki/File:Complex_ArcTanh.jpg 1
19:24, 10 June 2016 Multiplebesselyplot.png (file) 107 KB Tom Category:Plot <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 10, 10 x=np.arange(0.01,20,0.01); j0=np.vectorize(lambda x: bessely(0,x)) j1=np.ve... 1
17:04, 14 October 2014 Beta2.png (file) 106 KB Tom   1
05:37, 18 May 2015 Complex tanc.png (file) 106 KB Tom g[z_] := Tan[z]/z ComplexGraph[g, {-10, 10}, {-10, 10}] 1
02:34, 21 August 2015 Domcoljacobids.png (file) 106 KB Tom test[z_] := JacobiDS[z, 0.8] ComplexGraph[test, {-10, 10}, {-10, 10}] 1
00:29, 24 May 2016 Complexloggammaplot.png (file) 105 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(loggamma,[-3,3],[-3,3],points=50000,verbose=True) plt.title(r'Domain coloring of $\log \Gamma(z)$.') plt.savefig('complexl... 1
02:03, 21 August 2015 Domcoljacobicn.png (file) 105 KB Tom test[z_] := JacobiCN[z, 0.8] ComplexGraph[test, {-10, 10}, {-10, 10}] 1
05:27, 19 October 2014 Complex Coth.jpg (file) 105 KB Tom http://en.wikipedia.org/wiki/File:Complex_ArcCoth.jpg 2
08:05, 16 May 2016 Complexsinhplot.png (file) 104 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(sinh,[-10,10],[-10,10],points=50000,verbose=True) plt.title('Domain coloring of $\mathrm{sinh}(z)$.') plt.savefig('complex... 1
20:49, 23 May 2016 Complexe1plot.png (file) 104 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * def plotme(x): return expint(1,x) cplot(plotme,[-20,20],[-20,20],points=50000,verbose=True) plt.title(r'Domain coloring... 1
21:00, 23 May 2016 Complexe2plot.png (file) 104 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * def plotme(x): return expint(2,x) cplot(plotme,[-20,20],[-20,20],points=50000,verbose=True) plt.title(r'Domain coloring... 1
02:37, 21 August 2015 Domcoljacobinc.png (file) 103 KB Tom test[z_] := JacobiNC[z, 0.8] ComplexGraph[test, {-10, 10}, {-10, 10}] 1
02:48, 21 August 2015 Domcoljacobisd.png (file) 103 KB Tom test[z_] := JacobiSD[z, 0.8] ComplexGraph[test, {-10, 10}, {-10, 10}] 1
20:30, 19 February 2015 Complexlambertw0.png (file) 103 KB Tom ComplexGraph[ProductLog, {-3, 3}, {-3, 3}], where ComplexGraph is defined in format notes 1
08:09, 16 May 2016 Complexcoshplot.png (file) 102 KB Tom Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(cosh,[-10,10],[-10,10],points=50000,verbose=True) plt.title('Domain coloring of $\mathrm{cosh}(z)$.') plt.savefig('complex... 1
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