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| View Original: | Fractional part and its antiderivatives.svg (576x432) | |||
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| Keywords: Fractional part and its antiderivatives.svg en Fractional part and its antiderivatives fr La partie fractionnaire et ses primitives 2012-09-24 15 39 05 own Created with Matplotlib Gapato Python scipy/numpy/matplotlib code from matplotlib pyplot import from numpy import from scipy integrate import cumtrapz def f x return x sin 1/x eps 1e-9 x0 linspace 0 1-eps 100 x1 linspace 1 2-eps 100 x2 linspace 2 3-eps 100 int_x0 x0-modf x0 1 int_x1 x1-modf x1 1 int_x2 x2-modf x2 1 x hstack x0 x1 int_x hstack int_x0 int_x1 first_prim cumtrapz int_x x initial 0 second_prim cumtrapz first_prim x initial 0 plot x0 int_x0 color 'blue' lw 2 plot x1 int_x1 color 'blue' label r' f x x-\lfloor x \rfloor ' lw 2 plot x first_prim color 'red' label r' F x \int_0 x f t dt ' lw 2 plot x second_prim color 'green' label r' \int_0 x F t dt ' lw 2 legend loc 2 tight_layout show cc-zero Uploaded with UploadWizard Fractional part Integral calculus Images with Python source code | ||||
