diagonalization in a sentence

Examples

1. 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.
2. "' Diagonalization "'is the process of re-ordering the rows and columns of tables and charts so that the data forms an approximately diagonal line.
3. 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.
4. 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.
5. :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.
6. 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.
7. *PM : simultaneous block-diagonalization of upper triangular commuting matrices, id = 7353-- WP guess : simultaneous block-diagonalization of upper triangular commuting matrices-- Status:
8. *PM : simultaneous block-diagonalization of upper triangular commuting matrices, id = 7353-- WP guess : simultaneous block-diagonalization of upper triangular commuting matrices-- Status:
9. *PM : simultaneous upper triangular block-diagonalization of commuting matrices, id = 7350-- WP guess : simultaneous upper triangular block-diagonalization of commuting matrices-- Status:
10. *PM : simultaneous upper triangular block-diagonalization of commuting matrices, id = 7350-- WP guess : simultaneous upper triangular block-diagonalization of commuting matrices-- Status: