Exemple 6¶
$$f : (x,y) \longmapsto \frac{x y}{x^2 + y^2}$$
In [1]:
x, y = var("x y")
S = plot3d(x*y/(x^2+y^2), (x, -2, 2), (y, -2, 2))
show(S, aspect_ratio=1)
In [2]:
x, y = var("x y")
S = plot3d(x*y/(x^2+y^2), (x, -2, 2), (y, -2, 2), plot_points=300)
show(S, aspect_ratio=1)
In [3]:
x, y = var("x y")
S = plot3d(x*y/(x^2+y^2), (x, -2, 2), (y, -2, 2))
R = parametric_plot3d((x, y, 0), (x, -2, 2), (y, -2, 2), color="red", opacity=0.5)
show(R+S, aspect_ratio=1)
In [4]:
x, y = var("x y")
S = contour_plot(x*y/(x^2 + y^2), (x, -2, 2), (y, -2, 2), labels=True, label_colors='yellow', colorbar=True, cmap="seismic", contours=12)
show(S)
