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Showing 1 to 10 of 10 for “"minimal length"”.
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Investigations on the minimal-length uncertainty relation
… Such a theory incorporates an absolute minimal length, UV/IR mixing and non-commutative position space. The possible representations in terms of differential operators are analyzed and their equivalence to first order is established. Simple quantum systems, namely the harmonic …
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Solvable Models on Noncommutative Spaces with Minimal Length Uncertainty Relations
… mechanical uncertainty relations suggest that at length scales close to the Planck length, strong gravity effects limit the spatial as well as temporal resolution smaller than fundamental length scale, leading to space-space as well as spacetime uncertainties. Space-time cannot be probed with a …
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Growth of Conjugacy Classes of Reciprocal Words in Triangle Groups
… their conjugacy classes with respect to the word length in the group for chosen generators of minimal length in G. We specifically use recurrence relations, and techniques for obtaining the closed forms of these relations, in order to study the growth of these geometric objects. With these methods …
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The determination of hob offset design values for nonstandard spur gears
… advantages of designing gears with a substantial length of recess and a minimal length of approach. They describe the gears as operating with lower friction, less wear, less noise, and smoother action. Accordingly, the object of this investigation was to determine the individual hob offsets of the …
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On complex reflection groups G(m, 1, r) and their Hecke algebras
… some special conjugacy class representatives of minimal length, one in each class. Quasi-parabolic subgroups are introduced for investigating representations of Ariki- Koike algebras. We use n x n arrays of non-negative integer sequences to characterize double cosets of quasi-parabolic subgroups. …
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Impacts of diet inversion on voluntary intake, digesta and fecal composition, and bacterial community composition in rumen of cattle fed tropical forage-based diets
… tropical forage-based diest and to establish the minimal length of the adaptation period that could be applied to changeover or crossover design protocols. Twelve rumen-cannulated crossbreed (B. taurus × B. indicus) bovines were used in this experiment (four young bulls, four steers, and four …
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On quasi-dominant weights and Hilbert series of determinantal varieties.
… in terms of parabolic category O and Kostant's minimal length coset representatives. We give a new characterization in terms of associated varieties and show that the subset of quasi-dominant weights whose highest weight modules occur in the setting of Howe dual pairs has a nice description in …
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Semisimple filtrations of tilting modules for algebraic groups
… thesis we investigate semisimple filtrations of minimal length (Loewy series) of tilting modules. We first demonstrate a criterion for determining when tilting modules for arbitrary quasi-hereditary algebras are rigid, i.e. have a unique Loewy series. Our criterion involves checking that …
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Information theory of random trees induced by stochastic grammars.
… which Tn is uniquely represented by a variable-length binary codeword, so that the expected codeword length is roughly equal to the entropy H(Tn). In the case of the balanced α-random tree model, each Tn is equiprobable, which allows us to develop encoding methods via which each Tn is uniquely …
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Population Dynamics and Management of Yellow Perch Populations in South Dakota Glacial Lakes
… growth rate explained 44-83% of the variation in length of larval yellow perch at time of capture. Hatching intervals for yellow perch in these lakes were much shorter than some previously reported estimates in the literature and likely made larval yellow perch populations in these lakes more …