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RISS 인기검색어
- 검색키워드
- 저자 : Yukio Matsumoto (검색결과 4 건)
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Note on the Codimension Two Splitting Problem
Matsumoto, Yukio Department of Mathematics 2019 Kyungpook mathematical journal Vol.59 No.3
Let W and V be manifolds of dimension m + 2, M a locally flat submanifold of V whose dimension is m. Let $f:W{\rightarrow}V$ be a homotopy equivalence. The problem we study in this paper is the following: When is f homotopic to another homotopy equivalence $g:W{\rightarrow}V$ such that g is transverse regular along M and such that $g{\mid}g^{-1}(M):g^{-1}(M){\rightarrow}M$ is a simple homotopy equivalence? $L{\acute{o}}pez$ de Medrano (1970) called this problem the weak h-regularity problem. We solve this problem applying the codimension two surgery theory developed by the author (1973). We will work in higher dimensions, assuming that $$m{\geq_-}5$$.
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Hoa, Le Thai,Tamura, Yukio,Matsumoto, Masaru,Shirato, Hiromichi Techno-Press 2013 Wind and Structures, An International Journal (WAS Vol.16 No.5
This paper presents applications of proper orthogonal decomposition in both the time and frequency domains based on both cross spectral matrix and covariance matrix branches to analyze multi-variate unsteady pressure fields on prisms and to study spanwise and chordwise pressure distribution. Furthermore, modification of proper orthogonal decomposition is applied to a rectangular spanwise coherence matrix in order to investigate the spanwise correlation and coherence of the unsteady pressure fields. The unsteady pressure fields have been directly measured in wind tunnel tests on some typical prisms with slenderness ratios B/D=1, B/D=1 with a splitter plate in the wake, and B/D=5. Significance and contribution of the first covariance mode associated with the first principal coordinates as well as those of the first spectral eigenvalue and associated spectral mode are clarified by synthesis of the unsteady pressure fields and identification of intrinsic events inside the unsteady pressure fields. Spanwise coherence of the unsteady pressure fields has been mapped the first time ever for better understanding of their intrinsic characteristics.
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Mitsuhiro Tomosada,Koji Kanefuji,Yukio Matsumoto,Hiroe Tsubaki 제어로봇시스템학회 2009 제어로봇시스템학회 국제학술대회 논문집 Vol.2009 No.8
We propose a method to generate a global distribution map of carbon dioxide (CO2) and methane (CH4)column abundance retrieved from spectra on irregular observation points by GOSAT (Greenhouse gases ObserbingSATellite). Global distribution map is gridded by 1 degree for latitude and longitude. Kriging in spatial statistics isapplied to the spatial data of CO2 and CH4 column abundance. We focus on CO2 density in this study, the distance anddifference of CO2 column abundances between observation points for sample pairs at each observation points overocean and over land on the earth’s surface are calculated. The relationship between the distance and the difference ofCO2 column abundances are represented by semi-variogram model. When semi-variogram is modeled, the difference ofsemi-variogram derived from the direction between observation points of sample pairs from North-pole direction isconsidered. And, we obtain the variogram model for each land cover. GOSAT was just launched, and CO2 columnabundance is not retrieved from spectra measured by GOSAT. Therefore, proposed method is applied to spatial data ofXCO2 instead of CO2 column abundance. We set the observation points on the earth’s surface based on the GOSATobservation plan. Global distribution map of XCO2 instead of CO2 column abundance is used, XCO2 value for eachobservation points are set. And we predict XCO2 values on the grid in global distribution map from the set observationpoints and XCO2. As a result, the standard deviation of prediction error (predicted value ? actual value) is 0.324. Thisstandard deviation, which is 0.1% of XCO2 value, is enough small comparison with target accuracy (1%).
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Le Thai Hoa,Yukio Tamura,Masaru Matsumoto,Hiromichi Shirato 한국풍공학회 2013 Wind and Structures, An International Journal (WAS Vol.16 No.5
This paper presents applications of proper orthogonal decomposition in both the time and frequency domains based on both cross spectral matrix and covariance matrix branches to analyze multi-variate unsteady pressure fields on prisms and to study spanwise and chordwise pressure distribution. Furthermore, modification of proper orthogonal decomposition is applied to a rectangular spanwise coherence matrix in order to investigate the spanwise correlation and coherence of the unsteady pressure fields. The unsteady pressure fields have been directly measured in wind tunnel tests on some typical prisms with slenderness ratios B/D=1, B/D=1 with a splitter plate in the wake, and B/D=5. Significance and contribution of the first covariance mode associated with the first principal coordinates as well as those of the first spectral eigenvalue and associated spectral mode are clarified by synthesis of the unsteady pressure fields and identification of intrinsic events inside the unsteady pressure fields. Spanwise coherence of the unsteady pressure fields has been mapped the first time ever for better understanding of their intrinsic characteristics.
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