Results 41 to 50 of about 6,991,423 (313)
Exceptional sets in Waring's problem: two squares and s biquadrates [PDF]
, 2014 Let $R_s(n)$ denote the number of representations of the positive number $n$ as the sum of two squares and $s$ biquadrates. When $s=3$ or $4$, it is established that the anticipated asymptotic formula for $R_s(n)$ holds for all $n\le X$ with at most $O(X^
Zhao, Lilu
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Fractional dimension of some exceptional sets in continued fractions
Comptes Rendus. MathématiqueIn this paper, we calculate the Hausdorff dimension of some exceptional sets that emerge from specific constraints imposed on the partial quotients of continued fractions.
Hussain, Mumtaz +2 more
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Locating the Sets of Exceptional Points in Dissipative Systems and the Self-Stability of Bicycles
Entropy, 2018 Sets in the parameter space corresponding to complex exceptional points (EP) have high codimension, and by this reason, they are difficult objects for numerical location.
Oleg N. Kirillov
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Moduli in Exceptional SUSY Gauge Theories [PDF]
, 1997 The low energy structures of N=1 supersymmetric models with E_6, F_4 and E_7 gauge groups and fundamental irrep matter contents are studied herein. We identify sets of gauge invariant composites which label all flat directions in the confining/Higgs ...
A. DeRujula +30 more
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Slicing Sets and Measures, and the Dimension of Exceptional Parameters
, 2012 We consider the problem of slicing a compact metric space \Omega with sets of the form \pi_{\lambda}^{-1}\{t\}, where the mappings \pi_{\lambda} \colon \Omega \to \R, \lambda \in \R, are \emph{generalized projections}, introduced by Yuval Peres and ...
D. Mauldin +15 more
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An exceptional set for inner functions [PDF]
Proceedings of the American Mathematical Society, 1971 Suppose f is an inner function that is not a constant and not a finite Blaschke product. Let E ( f ) E(f) denote the set of values inside the unit disk that are not assumed infinitely often by f. We show that E ( f ) E(f) is an F
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On the packing dimension and category of exceptional sets of orthogonal projections [PDF]
, 2012 We consider several classical results related to the Hausdorff dimension of exceptional sets of orthogonal projections and find out whether they have reasonable formulations in terms of packing dimension.
Tuomas Orponen
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$m$-noncrossing partitions and $m$-clusters [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 Let $W$ be a finite crystallographic reflection group, with root system $\Phi$. Associated to $W$ there is a positive integer, the generalized Catalan number, which counts the clusters in the associated cluster algebra, the noncrossing partitions for $W$,
Aslak Bakke Buan +2 more
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Exceptional sets of hypergeometric series
Journal of Number Theory, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Molecules, 2022 Bedaquiline is a novel adenosine triphosphate synthase inhibitor anti-tuberculosis drug. Bedaquiline belongs to the class of diarylquinolines, which are antituberculosis drugs that are quite different mechanistically from quinolines and flouroquinolines.
Muaaz Mutaz Alajlani
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