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He further typified Stewart's mental disease as manic-depressive psychosis and, by the use of a blackboard, diagrammed and described the cyclic character of that disease.
The cyclic character of earthquake load and associated cyclic tearing failure mode (tearing fatigue regime) are not explicitly considered while demonstrating stability of a through wall cracked pipe.
The cyclic character of the scheduling period is the reason for this phenomenon.
The cyclic character of f implies that (y,zinbigcap_{i=1}^{p}A_{i}).
Using the cyclic character of f, there exists a subsequence of ({x_{n}}) for which belongs to (A_{i}) for (iin{1,2,ldots,p}).
Additional, detailed intermediate steps would need to be added, while preserving the mechanisms' self-consistency and cyclic character through the statistical paths.
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The cyclic case, sorry.
Therearticle originally appeared on VICE AU.
The quantities Ai are defined in terms of characters of cyclic groups, and so one might seek a direct character-theoretic proof of this result.
Therefore, we opted for a shuffling procedure instead: we randomly generate a cyclic ordering C' of the same character states (and their respective frequencies) as those in C and compute the fraction q = q(C, χ) of randomized samples with ν(C', χ) > ν(C, χ).
In this section, we define q-Eulerian polynomials and numbers attached to any character of the finite cyclic group G. Our new generating functions are related to nonnegative real parameters.
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