我试着在R3中画出这个“F”向量函数。以及以半径Pi/2为中心的球体。在
抱歉,如果这对某些人来说是显而易见的,但是我浏览了标准文档、几个示例和google搜索了几个小时,我还是一头雾水。在
我当前的Mayavi结果和代码:
import numpy as np
from mayavi import mlab
# Functions
def h(t):
return np.exp(-1/t) * (1/np.cos(t))
def F(x, y, z):
norm = np.linalg.norm([x, y, z])
h_norm = (h(norm)/norm)
return [x*h_norm, y*h_norm, z*h_norm]
# Vectors
x, y, z = np.meshgrid(np.arange(-2, 2, 0.5),
np.arange(-2, 2, 0.5),
np.arange(-2, 2, 0.5))
u, v, w = F(x, y, z)
src = mlab.pipeline.vector_field(u, v, w)
mlab.pipeline.vectors(src, mask_points=20, scale_factor=.5)
# Ball
dphi, dtheta = np.pi/250.0, np.pi/250.0
[phi, theta] = np.mgrid[0:2*np.pi:dphi,
0:np.pi:dtheta]
r = np.pi / 2
x2 = r*np.sin(theta)*np.cos(phi)
y2 = r*np.sin(theta)*np.sin(phi)
z2 = r*np.cos(theta)
s = mlab.mesh(x2, y2, z2)
#mlab.axes(x_axis_visibility=True, y_axis_visibility=True)
# View it all.
mlab.outline()
mlab.show()
目前没有回答
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