Association Between Computed Tomography-Derived Hounsfield Units of the Ulnar Collateral Ligament and Valgus Laxity in Professional Baseball Players. [PDF]
Munemori M +7 more
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Image-based evaluation of a commercial AI synthetic CT generator for brain and prostate MR-only radiotherapy. [PDF]
Aire M +7 more
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Beyond physical fitness: Pre-to-post hematological and physical fitness changes during an eight-week multi-component exercise program in sedentary adults aged 30-45 years. [PDF]
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Quantification of the Tissue Sodium Concentration in the Human Calf at 7T With Reduced Acquisition Time: Influence of the Nominal Spatial Resolution. [PDF]
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Optimal difference systems of sets and difference sets
Aequationes Mathematicae, 2011Difference systems of sets (DSSs) are combinatorial structures that are generalizations of cyclic difference sets and arise in connection with code synchronization. In this paper, a recursive construction of DSSs with smaller redundancy from partition-type DSSs and difference sets are given, in connection with Paley-Hadamard difference sets. These DSSs
Jinhua Wang
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In recent years the subject of difference sets has attracted a considerable amount of attention in connection with problems in finite geometries [4]. Difference sets arising from higher power residues were first discussed by Chowla [1], who proved that biquadratic residues modulo p
Emma Lehmer
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Disjoint difference sets, difference triangle sets, and related codes
IEEE Transactions on Information Theory, 1992Summary: Disjoint difference sets (DDS), difference triangle sets (DTS), and related codes are discussed and a recursive construction for DDS is given. With this construction and the relationship between DDS and DTS, many new upper bounds for DTS and some better orthogonal codes are obtained.
Zhi Chen 0032, Pingzhi Fan, Fan Jin
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Difference Sets and Hyperovals
Let \(q=2^d\), \(2\leq k\leq q-2\) and \((k,q-1)=(k-1,q-1)=1\). The set of points of \(\text{PG} (2,q)\) (represented by homogeneous coordinates) \(D(k)=\{(1,t,t^k)\mid t\in \text{GF} (q)\}\cup\{(0,1,0),(0,0,1)\}\) is a hyperoval iff \(\{t+t^k\mid t\in \text{GF} (q)\setminus\{0\}\}\) is a difference set in the multiplicative group of \(\text{GF}(q ...
MASCHIETTI, Antonio
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A nonexistence result on difference sets, partial difference sets and divisible difference sets
Journal of Statistical Planning and Inference, 2001A new nonexistence theorem is proved for abelian difference sets. As an application, the nonexistence of the previously unknown difference sets \((243, 121, 60)\) in \(Z_9\times Z_{27}\) and \((351, 126, 45)\) in \(Z_{351}\) is established.
Arasu, K.T., Ma, S.L.
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