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01:43, 16 September 2016 Complexarctanhplot.png (file) 89 KB Tom Category:DomainColoring <pre> #!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(atanh,[-2,2],[-2,2],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{arctanh}(z)$.') plt.savefig('compl... 1
01:14, 16 September 2016 Complexarccothplot.png (file) 96 KB Tom Category:DomainColoring <pre> #!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(acoth,[-5,5],[-5,5],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{arccoth}(z)$.') plt.savefig('compl... 1
00:42, 16 September 2016 Arctanhplot.png (file) 29 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(-0.999,0.999,0.001); f=np.vectorize(atanh) y=f(x) def g(x):... 2
00:14, 16 September 2016 Complexarccoshplot.png (file) 67 KB Tom Category:DomainColoring <pre> #!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(acosh,[-5,5],[-5,5],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{arccosh}(z)$.') plt.savefig('compl... 1
23:53, 15 September 2016 Complexarcsinhplot.png (file) 97 KB Tom Category:DomainColoring <pre> #!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(asinh,[-2,2],[-2,2],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{arcsinh}(z)$.') plt.savefig('compl... 1
01:20, 8 August 2016 Kelvinker,n=0glyph.png (file) 3 KB Tom Category:kelvinkerglyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4,2.4 x=np.arange(0,8,0.01) f=np.vectorize(lambda x: ker(0,x)) y=f(x)... 1
20:35, 9 July 2016 Kelvinker,n=0plot.png (file) 24 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(0,8,0.01); f=np.vectorize(lambda x: ker(0,x)) y=f(x) def g(x):... 1
20:27, 9 July 2016 Kelvinbei,n=1glyph.png (file) 6 KB Tom Category:kelvinbeiglyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4,2.4 x=np.arange(-7,7,0.01) f=np.vectorize(lambda x: bei(1,x)) y=f(x)... 1
20:24, 9 July 2016 Kelvinbei,n=0glyph.png (file) 6 KB Tom Category:kelvinbeiglyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4,2.4 x=np.arange(-6,6,0.01) f=np.vectorize(lambda x: bei(0,x)) y=f(x)... 1
20:14, 9 July 2016 Kelvinber,n=0.5glyph.png (file) 5 KB Tom Category:kelvinberglyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4,2.4 x=np.arange(0,7,0.01) f=np.vectorize(lambda x: ber(0.5,x)) y=f(x... 1
20:10, 9 July 2016 Kelvinber,n=0glyph.png (file) 5 KB Tom Category:kelvinberglyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4,2.4 x=np.arange(-8,8,0.01) f=np.vectorize(lambda x: ber(0,x)) y=f(x)... 2
03:23, 6 July 2016 Vanderwaerdenglyph.png (file) 5 KB Tom Category:vanderwaerdenglyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4,2.4 def distfnc(x): return min(x-floor(x),ceil(x)-x) de... 1
03:21, 6 July 2016 Vanderwaerdenplot.png (file) 35 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 def distfnc(x): return min(x-floor(x),ceil(x)-x) def vanderwaerden... 2
03:14, 6 July 2016 Takagiplot.png (file) 46 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 def distfnc(x): return min(x-floor(x),ceil(x)-x) def takagi(x):... 2
03:07, 6 July 2016 Takagiglyph.png (file) 6 KB Tom Category:takagiglyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4,2.4 def distfnc(x): return min(x-floor(x),ceil(x)-x) def takag... 1
01:22, 6 July 2016 Riemannglyph.png (file) 6 KB Tom Category:riemannglyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4,2.4 def riemann(x): return nsum(lambda k: sin((k**2)*x)/(k**2)... 1
01:19, 6 July 2016 Riemannplot.png (file) 47 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 def riemann(x): return nsum(lambda k: sin((k**2)*x)/(k**2),[1,inf])... 2
21:12, 5 July 2016 Faberf1glyph.png (file) 5 KB Tom Category:faberf1glyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4,2.4 def distfnc(x): return min(x-floor(x),ceil(x)-x) def fabe... 1
21:09, 5 July 2016 Darbouxglyph.png (file) 7 KB Tom Category:darbouxglyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4,2.4 def distfnc(x): return min(x-floor(x),ceil(x)-x) def fabe... 4
21:07, 5 July 2016 Faberf2glyph.png (file) 4 KB Tom Category:faberf2glyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4,2.4 def distfnc(x): return min(x-floor(x),ceil(x)-x) def fabe... 3
20:58, 5 July 2016 Faberf2plot.png (file) 48 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 def distfnc(x): return min(x-floor(x),ceil(x)-x) def faberf2(x):... 2
20:55, 5 July 2016 Faberf1plot.png (file) 37 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 def distfnc(x): return min(x-floor(x),ceil(x)-x) def faberf1(x):... 2
20:48, 5 July 2016 Darbouxplot.png (file) 70 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 def darboux(x): return nsum(lambda k: sin(fac(k+1)*x)/fac(k),[1,inf... 2
18:59, 5 July 2016 Jacobitheta2,q=0.5plot.png (file) 48 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(-15,15,0.01); f=np.vectorize(lambda x: jtheta(2,x,0.5)) y=f(x)... 1
18:58, 5 July 2016 Jacobitheta3,q=0.5plot.png (file) 57 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(-15,15,0.01); f=np.vectorize(lambda x: jtheta(3,x,0.5)) y=f(x)... 1
18:58, 5 July 2016 Jacobitheta4,q=0.5plot.png (file) 58 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(-15,15,0.01); f=np.vectorize(lambda x: jtheta(4,x,0.5)) y=f(x)... 1
18:51, 5 July 2016 Jacobitheta1,q=0.5plot.png (file) 48 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(-15,15,0.01); f=np.vectorize(lambda x: jtheta(1,x,0.5)) y=f(x)... 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
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
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
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
06:23, 22 June 2016 Chebyshevthetaplot.png (file) 24 KB Tom Category:Plot <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt import fractions from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 10, 10 def isValid ( n ): if (n <=0): ret... 2
05:57, 22 June 2016 Mangoldtplot.png (file) 25 KB Tom Category:Plot <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt import fractions from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 10, 10 def isValid ( n ): if (n <=0): ret... 1
05:44, 22 June 2016 Mangoldtglyph.png (file) 3 KB Tom Category:Mangoldtglyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt import fractions from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4,2.4 def isValid ( n ): if (n <=0):... 1
05:24, 22 June 2016 Gpfglyph.png (file) 5 KB Tom Category:greatestprimefactorglyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt import fractions from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4,2.4 def gpf(n): i = 2 whi... 1
05:19, 22 June 2016 Greatestprimefactor,to1000.png (file) 40 KB Tom Category:Plot <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt import fractions from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 10, 10 def gpf(n): i = 2 while i * i <= n:... 1
05:10, 22 June 2016 Primecountingglyph.png (file) 3 KB Tom Category:primecountingglyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4,2.4 x=np.arange(0,500,1) f=np.vectorize(primepi) y=f(x) x2=np.a... 1
05:00, 22 June 2016 Totientglyph.png (file) 5 KB Tom Category:totientglyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt import fractions from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4,2.4 def totient(n): amount = 0 for k... 1
04:15, 22 June 2016 Totientplot,to3500.png (file) 80 KB Tom Category:Plot <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt import fractions from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 10, 10 def totient(n): amount = 0 for k in range... 1
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
03:57, 22 June 2016 Complexeulerphiglyph.png (file) 34 KB Tom Category:Eulerphiglyph <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: qp(x),[-1,1],[-1,1],points=50000,verbose=True)... 1
03:44, 22 June 2016 Eulerphiglyph.png (file) 6 KB Tom Category:eulerphiglyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4,2.4 x=np.arange(-1,1,0.01) f=np.vectorize(lambda x: qp(x)) y=f(x) x2... 2
03:27, 22 June 2016 Eulerphiplot.png (file) 37 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(-1,1,0.001); f=np.vectorize(lambda x: qp(x)) y=f(x) fig, ax =... 1
01:03, 22 June 2016 Arccoshplot.png (file) 31 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(1,10,0.01); f=np.vectorize(acosh) y=f(x) fig, ax = plt.subplot... 1
01:01, 22 June 2016 Arcsinhplot.png (file) 30 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(-25,25,0.01); f=np.vectorize(asinh) y=f(x) fig, ax = plt.subpl... 2
00:49, 22 June 2016 Mobiusglyph.png (file) 2 KB Tom Category:mobiusglyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4,2.4 def numberOfFactors(n): counter = 0 while (n > 1):... 2
21:27, 21 June 2016 Hexadecagonalnumber16.png (file) 45 KB Tom Category:hexadecagonalnumberglyph <pre>\documentclass[tikz]{standalone} \usetikzlibrary{shapes.geometric,calc} \begin{document} \begin{tikzpicture} \node (pol) [minimum size=\textwidth,regular polygon, regular polygon sides=16,color=white] at (0... 1
21:24, 21 June 2016 Pentadecagonalnumber15.png (file) 46 KB Tom Category:pentadecagonalnumbersglyph <pre>\documentclass[tikz]{standalone} \usetikzlibrary{shapes.geometric,calc} \begin{document} \begin{tikzpicture} \node (pol) [minimum size=\textwidth,regular polygon, regular polygon sides=15,color=white] at... 2
21:20, 21 June 2016 Tetradecagonalnumber14.png (file) 41 KB Tom Category:tetradecagonalnumbersglyph <pre>\documentclass[tikz]{standalone} \usetikzlibrary{shapes.geometric,calc} \begin{document} \begin{tikzpicture} \node (pol) [minimum size=\textwidth,regular polygon, regular polygon sides=14,color=white] at... 1
21:16, 21 June 2016 Tridecagonalnumber13.png (file) 38 KB Tom Category:tridecagonalnumbersglyph <pre>\documentclass[tikz]{standalone} \usetikzlibrary{shapes.geometric,calc} \begin{document} \begin{tikzpicture} \node (pol) [minimum size=\textwidth,regular polygon, regular polygon sides=13,color=white] at (0... 1
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