نتایج جستجو برای: matsumoto metric
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We study some algebraic and combinatorial invariants of rank-metric codes, specifically generalized weights. We introduce q-polymatroids, the q-analogue of polymatroids, and develop their basic properties. We show that rank-metric codes give rise to q-polymatroids, and that several of their structural properties are captured by the associated combinatorial object. Introduction and Motivation Du...
In 1977, M. Matsumoto and R. Miron [9] constructed an orthonormal frame for an n-dimensional Finsler space, called ‘Miron frame’. The present authors [1, 2, 3, 10, 11] discussed four-dimensional Finsler spaces equipped with such frame. M. Matsumoto [7, 8] proved that in a three-dimensional Berwald space, all the main scalars are h-covariant constants and the h-connection vector vanishes. He als...
In this manuscript we show that function fields K|k with td(K|k) > dim(k)+1 can be recovered from their maximal pro-` abelian-by-central Galois theory, where dim(k) is the Kronecker dimension. This extends the main result of Pop [P5] beyond the case where k is an algebraic closure of a finite field. We also show how this implies the pro-` form of Ihara’s question / Oda-Matsumoto conjecture I/OM...
SEKIYA KOYAMA,1,2 ETSURO SATO,2 HIROSHI NOMURA,2 KEISHI KUBO,2 MASAKAZU MIURA,3 TETSUJI YAMASHITA,3 SONOKO NAGAI,4 AND TAKATERU IZUMI4 1National Chuushin Matsumoto Hospital, Matsumoto 399; 2The First Department of Internal Medicine, Shinshu University School of Medicine, Matsumoto 390; 3Mitsubishi Kagaku, Itabashiku, Tokyo 174; and 4Department of Respiratory Medicine, Graduate School of Medicin...
1The First Department of Internal Medicine, Shinshu University School of Medicine, Matsumoto, Nagano, Japan 2Department of Radiology, Shinshu University School of Medicine, Matsumoto, Nagano, Japan 3Department of Laboratory Medicine, Shinshu University Hospital, Matsumoto, Nagano, Japan 4Department of Respiratory Medicine, National Hospital Organization Shinshu Ueda Medical Center, Ueda, Nagano...
Matsumoto and Amano (2008) showed that every single-qubit Clifford+T operator can be uniquely written of a particular form, which we call the Matsumoto-Amano normal form. In this mostly expository paper, we give a detailed and streamlined presentation of Matsumoto and Amano’s results, simplifying some proofs along the way. We also point out some corollaries to Matsumoto and Amano’s work, includ...
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