In the case of the baker's map, it can be shown that several unique and inequivalent diagonalizations or bases exist, each with a different set of eigenvalues.
32.
"' Diagonalization "'is the process of re-ordering the rows and columns of tables and charts so that the data forms an approximately diagonal line.
33.
Conversely, the surjectivity of the exponential map, together with the above-mentioned block-diagonalization for skew-symmetric matrices, implies the block-diagonalization for orthogonal matrices.
34.
Conversely, the surjectivity of the exponential map, together with the above-mentioned block-diagonalization for skew-symmetric matrices, implies the block-diagonalization for orthogonal matrices.
35.
:Because the number constructed in the diagonalization argument ( as it is usually presented ) is guaranteed to be a real number, but not guaranteed to be a rational number.
36.
In quantum mechanics, the grand canonical ensemble affords a simple description since diagonalization provides a set of distinct microstates of a system, each with well-defined energy and particle number.
37.
*PM : simultaneous block-diagonalization of upper triangular commuting matrices, id = 7353-- WP guess : simultaneous block-diagonalization of upper triangular commuting matrices-- Status:
38.
*PM : simultaneous block-diagonalization of upper triangular commuting matrices, id = 7353-- WP guess : simultaneous block-diagonalization of upper triangular commuting matrices-- Status:
39.
*PM : simultaneous upper triangular block-diagonalization of commuting matrices, id = 7350-- WP guess : simultaneous upper triangular block-diagonalization of commuting matrices-- Status:
40.
*PM : simultaneous upper triangular block-diagonalization of commuting matrices, id = 7350-- WP guess : simultaneous upper triangular block-diagonalization of commuting matrices-- Status:
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