Interactive Exploration of Complex Functions

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@interact

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def _(N=[2*10^3,5*10^3,10^4]): 

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    L=[CC(0,0)]

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    c=[colormaps.cool((N^(-1)).n()*i)[:3] 

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       for i in [1..N]]

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    z=lambda n:exp(I*pi*n*ln(n/4)*2^.5).n() 

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    for n in [1..N]: L.append(L[n-1]+CC(z(n))) 

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    p=sum([line([L[i],L[i+1]],color=c[i]) 

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           for i in [200..N-1]])

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    p.show(figsize=(5,5))

Language: Sage Gap GP HTML Macaulay2 Maxima Octave Python R Singular

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