对任意n维,肯定要n个参数确定一点。刘先生给出x/||x||,而x本身有n 个分量。
n维球坐标与直角坐标的关系是
\( 1\leq j \leq n-2 \):
\( x_j = r (\prod_{k=1}^{j-1} \sin \phi_k ) \cos \phi_j \)
\( x_{n-1}= r (\prod_{k=1}^{n-2} \sin \phi_k ) \cos \theta, \)
\( x_{n }= r (\prod_{k=1}^{n-2} \sin \phi_k ) \sin \theta, \)
条件: r>=0.
\( 0\leq \phi_k \leq \pi,
0\leq \theta \leq 2\pi \)
n维球坐标与直角坐标的关系是
\( 1\leq j \leq n-2 \):
\( x_j = r (\prod_{k=1}^{j-1} \sin \phi_k ) \cos \phi_j \)
\( x_{n-1}= r (\prod_{k=1}^{n-2} \sin \phi_k ) \cos \theta, \)
\( x_{n }= r (\prod_{k=1}^{n-2} \sin \phi_k ) \sin \theta, \)
条件: r>=0.
\( 0\leq \phi_k \leq \pi,
0\leq \theta \leq 2\pi \)
锟斤拷锟洁辑时锟斤拷: 2023-04-09 20:20:15