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Example of Graphics

4. Classification by domain

Content

    Real function

    in real domain

    Input your function, click the plot button. e.g.
  1. pow(x,x)

    in Laplace domain

    First graph is in real domain, second graph is in Laplace domain by Lapalce transform laplace(x)
    Input your function, click the laplace button. e.g.
  2. laplace(sin(x))

    in Fourier domain

    First graph is in real domain, second graph is in Fourier domain by Fourier transform fourier(x)
    Input your function, click the Fourier button. e.g.
  3. fourier(exp(x))
  4. sine wave
  5. Weierstrass function animation

    in convolution domain

    First graph is in real domain, second graph is in convolution domain by convolution transform convolute(x) with x
    Input your function, click the convolute button. e.g.
  6. convolute(exp(x))

    in contour domain

    put your function f(x,y) into sin(f(x,y)) by contour transform sin(z). First graph is in real domain, second graph is in contour domain.
    Input your function, click the plot button. e.g.
  7. sin(x*x+y*y-1)
    Input your function, click the plot2D button. e.g.
  8. plot2D( sin(x*x+y*y-1) )

    in polar domain

    Input your function, click the polar button. e.g.
  9. polarplot(1)

    by parametricplot( )

  10. parametricplot(cos(x),sin(x))
  11. parametric3D(cos(x),sin(x))

    in 3D polar domain

    by parametric3D, e.g.
  12. parametric3D(x)
  13. parametric3D(cos(x),sin(x),x)

    by wireframe3D. e.g.

  14. wireframe3D(x)
  15. wireframe3D(cos(x),sin(x),x)

    More is in graph.

    Complex function

    in real domain

    First graph is real function, second graph is complex function, where blue line is real part re(z) and red line is imag part im(z) by convert to complex with tocomplex(x)
    Input your function, click the complex2D button. e.g.
  16. complex2D(pow(x,x))
    More in complex2D 2 curves of real and imag parts

    in complex domain

    Input your function, click the complex button. e.g.
  17. complexplot(z)
    Input your function, click the complex3D button. e.g.
  18. complex3D(pow(x,x))
    Riemann Surfaces. e.g.
  19. complex3D(pow(x,x))

    More in complex function

    in WebXR domain

  20. color WebXR surface of complex function on complex plane

Complex

  1. complex - complex function - complex math
  2. math handbook chapter 10 complex function
  3. complex animate(z) for phase animation, the independent variable must be z.
  4. complex plot(z) for phase and/or modulus, the independent variable must be z.
  5. complex2D(x) for complex 2 curves of real and imag parts, the independent variable must be x.
  6. complex3D(x) for 3 dimensional graph, the independent variable must be x.
  7. color WebXR surface of complex function on complex plane
  8. Riemann surface - Complex Branches - complex coloring

References

  1. Complex analysis
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