• 제목/요약/키워드: compactly open

검색결과 6건 처리시간 0.015초

SOME FIXED POINTTHEOREMS ON H-SPACES(I)

  • Lee, Byung-Soo;Lee, Sang-Chul
    • 대한수학회논문집
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    • 제10권2호
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    • pp.325-330
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    • 1995
  • In this paper we obtain some fixed point theorems on H-spaces by using H-KKM theorems.

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RADO'S AND POPONOV'S INEQUALITIES OF PROBABILITY MEASURES FOR POSITIVE REAL NUMBERS

  • Lee, Hosoo;Kim, Sejong
    • 충청수학회지
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    • 제27권2호
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    • pp.165-172
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    • 2014
  • In this paper, we derive some valuable inequalities of Rado's and Poponov's types on the open interval of positive real numbers, and then show weighted generalizations of Rado's and Poponov's inequalities on the set of positive real numbers equipped with compactly supported probability measure.

NORMALIZATION OF THE HAMILTONIAN AND THE ACTION SPECTRUM

  • OH YONG-GEUN
    • 대한수학회지
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    • 제42권1호
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    • pp.65-83
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    • 2005
  • In this paper, we prove that the two well-known natural normalizations of Hamiltonian functions on the symplectic manifold ($M,\;{\omega}$) canonically relate the action spectra of different normalized Hamiltonians on arbitrary symplectic manifolds ($M,\;{\omega}$). The natural classes of normalized Hamiltonians consist of those whose mean value is zero for the closed manifold, and those which are compactly supported in IntM for the open manifold. We also study the effect of the action spectrum under the ${\pi}_1$ of Hamiltonian diffeomorphism group. This forms a foundational basis for our study of spectral invariants of the Hamiltonian diffeomorphism in [8].

GRAPHICALITY, C0 CONVERGENCE, AND THE CALABI HOMOMORPHISM

  • Usher, Michael
    • 대한수학회보
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    • 제54권6호
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    • pp.2043-2051
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    • 2017
  • Consider a sequence of compactly supported Hamiltonian diffeomorphisms ${\phi}_k$ of an exact symplectic manifold, all of which are "graphical" in the sense that their graphs are identified by a Darboux-Weinstein chart with the image of a one-form. We show by an elementary argument that if the ${\phi}_k$ $C^0$-converge to the identity, then their Calabi invariants converge to zero. This generalizes a result of Oh, in which the ambient manifold was the two-disk and an additional assumption was made on the Hamiltonians generating the ${\phi}_k$. We discuss connections to the open problem of whether the Calabi homomorphism extends to the Hamiltonian homeomorphism group. The proof is based on a relationship between the Calabi invariant of a $C^0$-small Hamiltonian diffeomorphism and the generalized phase function of its graph.

제한성 피부병증(Restrictive Dermopathy) 1례 (A case of restrictive dermopathy)

  • 이승익;홍창희;정윤하;강미선;신종범
    • Clinical and Experimental Pediatrics
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    • 제50권3호
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    • pp.306-310
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    • 2007
  • 제한성 피부병증(Restrictive dermopathy)은 상염색체 열성으로 유전되는, 매우 드문 유전성 피부질환으로, 1986년 처음 기술되었다. 임상증상으로는 피부가 강직성, 긴장성병변을 보이며, 이로인해 운동의 제한, 관절의 구축 등이 생긴다. 매우 작고 둥근 입 모양, 양안격리, 소하악증 등을 동반한 특징적인 얼굴기형과 폐저형성증, 커다란 대천문, 쇄골의 이형성 등을 동반하기도 한다. 정확한 병인은 알려져 있지 않으며, 지금까지 50례 정도 보고되고 있으나, 국내에는 아직 보고가 없다. 저자들은 이 환아와 똑같은 외형의 사산아를 출산한 경력이 있는 산모에서, 제태연령 31주에, 출생체중 1.1 kg로 태아곤란증 때문에 제왕절개로 출생한 미숙아가 출생 직후부터 호흡곤란과 청색증을 보였고, 작은 입 모양에 소하악증과 얇고 경직된 피부와 사지 관절의 구축성 변형 등을 보였으며, 체간과 사지의 일부에 피부가 벗겨져 나간 소견을 나타내어, 피부조직검사 결과 상피조직의 비후성 미란, 얇은 진피층, 피부부속기관의 미발달소견, 탄성섬유의 현저한 감소가 관찰되는 전형적인 제한성 피부병증 1례를 경험하였기에 보고하는 바이다.

GENOME STRUCTURE OF Bombyx mori NUCLEOPOLYHEDROVIRUS

  • SUSUMU MAEDA
    • 한국잠사학회:학술대회논문집
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    • 한국잠사학회 1997년도 Progress and Future Development of Sericultural Science and Technology 40th Anniversary Commemoration Symposium
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    • pp.73-101
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    • 1997
  • Baculoviruses are characterized by large double-stranded circular DNA genomes and rod-shaped enveloped virions. Bombyx mori nucleopolyhedrovirus(BmNPV) is a major pathogen, which causes severe damage in sericulture. Currently, BmNPV is recogtnized as an improtant tool in molecular biology, especially for expression of useful genes in B.mori cells and silkworm larvae. Our laboratories have focused on the studies of the molecular mechanisms of BmNPV replication and the application of BmNPV to agriculture and medicine. The entire nucleotide sequence of the BmNPV genome has recently determined. The BmNPV genome possessed 135 putative genes and 7 homologous repeated sequence (hrs) regions. Relatively little space, a few to a few hundred base-pairs, was observed between the open reading frames and hrs. Termination codons often overlapped. These results showed a compactly packde BmNPV genome. Based on comparative sequence analyses, we speculated that the ancestor of BmNPV was a baculovirus similar to Autographa californica NPV(AcNPV). The function of the BmNPV genes were characterized by gene deletion analysis; p35 was found to be involved in blocking apoptosis and cysteine proteinase was found to be involved in horizontal virus transmission by degrading viral-infected larval host. By AcNPV and BmNPV coinfection experiments, we identified a BmNPV gene involved in expanding host specificity of AcNPV. The identified gene was likely encoded a DNA helicase based on the amino acid sequence analysis; a few amino acid substitutions in the putative DNA helicase gene resulted in the expansion of host range of AcNPV. These findings indicate that BmNPV evolved within a short period from an AcNPV-like ancestral virus due to rapid evolution including specific amino acid substitutions and gene deletions/insertions.