b*****d 发帖数: 7166 | 1 N=2k维空间,构造N个N维矢量(一组正交基),每个矢量的每个元素为1或-1.
比如N=2,v1={1,1}, v2={1,-1}
对任意偶数N,有什么算法可以写出全部基矢量? | l*****e 发帖数: 65 | 2 你要求的矩阵是 Hadamard Matrix, 请见 http://en.wikipedia.org/wiki/Hadamard_matrix。
The order of a Hadamard matrix must be 1, 2, or a multiple of 4.
The most important open question in the theory of Hadamard matrices is that
of existence. The Hadamard conjecture proposes that a Hadamard matrix of
order 4k exists for every positive integer k.
【在 b*****d 的大作中提到】![](/moin_static193/solenoid/img/up.png) : N=2k维空间,构造N个N维矢量(一组正交基),每个矢量的每个元素为1或-1. : 比如N=2,v1={1,1}, v2={1,-1} : 对任意偶数N,有什么算法可以写出全部基矢量?
| b*****d 发帖数: 7166 | 3 太感谢了~~
that
【在 l*****e 的大作中提到】![](/moin_static193/solenoid/img/up.png) : 你要求的矩阵是 Hadamard Matrix, 请见 http://en.wikipedia.org/wiki/Hadamard_matrix。 : The order of a Hadamard matrix must be 1, 2, or a multiple of 4. : The most important open question in the theory of Hadamard matrices is that : of existence. The Hadamard conjecture proposes that a Hadamard matrix of : order 4k exists for every positive integer k.
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