Interactive Vector Fields

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@interact

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def _(n=[4,5,..,8]):

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    f(u,v)=exp(-(u^n+v^n)/n)

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    s1(u,t)=(u,-.1*t,.1*t)

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    s2(v,t)=(v,-.1*t,.1*t)

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    pvf=sum([plot_vector_field(

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        f(u,v).gradient(),s1(u,i),s2(v,i),

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        color=hue(i/3)) for i in [1..3]])

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    pvf.show(figsize=(5,5),frame=False)

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

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