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(The word symmetry refers here to permutational symmetry of electrons).
"Importance sampling for estimating exact probabilities in permutational inference", Journal of the American Statistical Association, 83(404):999-1005.
Within any given symmetry block, the permutational symmetry of the integrals still applies and the integrals can be ordered within that block.
Rather, it uses constant reordering of twelve-element (linked pitch, duration, dynamic, and-in the original version-attack) sets-a device sometimes called "permutational serialism" (e.g., Howell 1995, 111).
Hobbs' Fifty in Two-Thousand (2000) is typical, in that large blocks of distinct melodic sections with varying instrumentation are arranged and repeated according to a permutational structure.
We only mention that for a many-electron system proper behavior of with respect to the permutational symmetry of the electrons (Pauli exclusion principle) must be guaranteed, in addition to those symmetries just discussed above.
Since protons have spin 1/2, they are fermions and the permutational antisymmetry of the total H wavefunction imposes restrictions on the possible rotational states the two forms of H can adopt.
In the final series of Color Charts which preoccupied Richter throughout 1973 and 1974, additional elements to this permutational system of color production were added in the form of mixes of a light grey, a dark gray and later, a green.
Piper further expanded the vocabulary of Conceptual art to include Vedic philosophical imagery and concepts in 2000, with her silk-screened graphic permutational Color Wheel Series, which combined Sanskrit text with drawing, photography, and representations of a Vedic divinity.
The "realignment criteria" from the bipartite case are generalized to permutational criteria in the multipartite setting: if the state is separable, then the matrix , obtained from the original state via permutation of matrix indices in product basis, satisfies .
The best-known part of his work is the phase of his poetic evolution centered in the actress Rosemary Forsyth, who played Bronwyn in the Franklin Schaffner film The War Lord (1965) and inspired the permutational phase of his poetry.
Given his Italian-accented English and his tendency to use phrases like "thematic virtualities," "permutational and equalizing criteria," "significant presence of absences" and "absent presences," the listener had to be significantly present to follow - and even then, it was never entirely clear just where we were being led.