permutation matrices造句
例句与造句
- Since there are ! permutations, there are ! permutation matrices.
- Permutation matrices are unitary matrices, so classical computations are a subset of quantum computations.
- In particular for the case of permutation matrices, one recovers the symmetry of the Robinson Schensted correspondence:
- By the Birkhoff von Neumann theorem, S can be written as a convex combination of permutation matrices.
- Any finite group is linear, because it can be realized by permutation matrices using Cayley's theorem.
- It's difficult to find permutation matrices in a sentence. 用permutation matrices造句挺难的
- By the formulas above, the permutation matrices form a group under matrix multiplication with the identity matrix as the identity element.
- That is, the Birkhoff polytope, the set of doubly stochastic matrices, is the convex hull of the set of permutation matrices.
- In this system permutation matrices were used to scramble coded representations ( such as Pulse Code Modulation and variants ) of the speech data.
- This particular example lets us create six permutation matrices ( all elements 1 or 0, exactly one 1 in each row and column ).
- Pivoting might be thought of as swapping or sorting rows or columns in a matrix, and thus it can be represented as permutation matrices.
- The even permutations produce the subgroup of permutation matrices of determinant + 1, the order " n " ! / 2 alternating group.
- This notion of a permutation representation can, of course, be composed with the previous one to represent an arbitrary abstract group G as a group of permutation matrices.
- To be precise, the generalized permutation matrices are a ( faithful ) linear representation of this abstract wreath product : a realization of the abstract group as a subgroup of matrices.
- In other words, while there exists a decomposition with n ! permutation matrices, there is at least one constructible decomposition with no more than ( n-1 ) ^ 2 matrices.
- Consider for example the natural representation of the symmetric group " S " " n " in " n " dimensions by permutation matrices, which is certainly faithful.
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