• Title/Summary/Keyword: Divergence Type

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EINSTEIN-TYPE MANIFOLDS WITH COMPLETE DIVERGENCE OF WEYL AND RIEMANN TENSOR

  • Hwang, Seungsu;Yun, Gabjin
    • Bulletin of the Korean Mathematical Society
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    • v.59 no.5
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    • pp.1167-1176
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    • 2022
  • In this paper, we study Einstein-type manifolds generalizing static spaces and V-static spaces. We prove that if an Einstein-type manifold has non-positive complete divergence of its Weyl tensor and non-negative complete divergence of Bach tensor, then M has harmonic Weyl curvature. Also similar results on an Einstein-type manifold with complete divergence of Riemann tensor are proved.

PATTERSON-SULLIVAN MEASURE AND GROUPS OF DIVERGENCE TYPE

  • Hong, Sungbok
    • Bulletin of the Korean Mathematical Society
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    • v.30 no.2
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    • pp.223-228
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    • 1993
  • In this paper, we use the Patterson-Sullivan measure and results of [H] to show that for a nonelementary discrete group of divergence type, the conical limit set .LAMBDA.$_{c}$ has positive Patterson-Sullivan measure. The definition of the Patterson-Sullivan measure for groups of divergence type is reviewed in section 2. The Patterson-Sullivan measure can also be defined for groups of convergence type and the details for that case can be found in [N]. Necessary definitions and results from [H] are given in section 3, and in section 4, we prove our main result.t.

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Genetic Differentiation in the Mitochondrial Cytochrome b Gene of Korean Brown Frog, Rana dybowskii (Amphibia: Ranidae)

  • Kim, Yu-Ri;Yang, Dong-Eun;Lee, Hyuk;Lee, Jung-Eun;Lee, Hyun-Ick;Yang, Suh-Yung;Lee, Hei-Yung
    • Animal cells and systems
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    • v.3 no.2
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    • pp.199-205
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    • 1999
  • The nucleotide sequences of a 504 bp segment of the mitochondrial cytochrome b gene were analyzed to survey the intraspecific variation of the brown frog, Rana dybowskii, collected from nine populations in South Korea. Comparisons of sequence divergence of the cytochrome b gene suggest that the populations examined are clearly classified into two types (type 1 and type 2), diverged from each other by a high value of 14.3-15.9% sequence divergence. The two types are distributed allopatrically in most populations, but only one population occurs sympatrically. In the Tonghae population, their spawning grounds differ in that type 1 spawns in the puddle and type 2 spawns in the mountain creek. Based on the genetic divergences of the cytochrome b gene sequences, the phylogenetic status of Korean R. dybowskii is elucidated by comparing it with related brown frogs distributed in an area adjacent to the Korean Peninsula. Interspecific sequence divergences among type 1, type 2 and other related brown frog species (Russian R. dybowskii, R. pirica, R. ornativentris, R. chensinensis: 2n=24 chromosomes) used in this study ranged from 11.7 to 16.3%. R. dybowskii in Tsushima is very similar to our type 1 (sequence divergence=0-1.6%) and R. chensinensis in western China is closest to our type 2 (sequence divergence=6.8-7.5%).

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Study on the Stability of Elastic Material Subjected to Dry Friction Force (건성마찰력을 받는 탄성재료의 안정성에 관한 연구)

  • Ko, Jun-Bin;Jang, Tag-Soon;Ryu, Si-Ung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.2
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    • pp.143-148
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    • 2004
  • This paper discussed on the stability of elastic material subjected to dry friction force for low boundary conditions: clamped free, clamped-simply supported, simply supported-simply supported, clamped-clamped. It is assumed in this paper that the dry frictional force between a tool stand and an elastic material can be modeled as a distributed follower force. The friction material is modeled for simplicity into a Winkler-type elastic foundation. The stability of beams on the elastic foundation subjected to distribute follower force is formulated by using finite element method to have a standard eigenvalue problem. It is found that the clamped-free beam loses its stability in the flutter type instability, the simply supported-simply supported beam loses its stability in the divergence type instability and the other two boundary conditions the beams lose their stability in the divergence-flutter type instability.

Genetic Studies on Korean Anurans: Length and Restriction Site Variation in the Mitochondrial DNA of Tree Frogs, Hyla japonica and H. suweonensis (한국산 무미류에 대한 유전학적 연구 : 청개구리속 2종(Hyla japonira, H. suweonensis)에 대한 mtDNA의 크기 및 제한효소 인식위치의 변이)

  • 이혜영;박창신
    • The Korean Journal of Zoology
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    • v.35 no.2
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    • pp.219-225
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    • 1992
  • The genetic variation in mitochondrial DNA (mtDNA) was analysed within and between two species of tree frogs. Hyla japonica and H. suweonensis from South Korea. Purified mtDNAs were digested with each of 11 restriction enLvmes which cleave at six base recognition sequences. The genome size of H. iaponica revealed ho types (20.0 $\pm$ 0.3 and 19.6 $\pm$ 0.3 kb) and this difference is explained by either addition or deletion of about 0.4 kb fragment. On the other hand, the genome sire of H. suueonensis was about 19.0 $\pm$ 0.4 kb only. For the analysis, level of fragment homology (F) and nucleotide sequence divergence (p) were estimated from comparisons of digestion profiles. Among four populations of H. iaponica, substantial mean sequence divergence was 0.017 (range 0.001-0.026); between identical types, 0.001 IslilaRl type) and 0.004 (Large type) respectively; between different ones, 0.024 (range 0.023-0.026). The level of sequence divergence between he species was 0.142 (range 0.131-0.146). This result suggested that he species ㅂwere distinctly differentiated species. The divergence time between ko species was estimated 7.1 million years.

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Mitochondrial DNA polymorphism in Fourteen Geographical Strains of Drosophila melanogoater (세계 14지역 계통에 대한 초파리 미토콘드리아 DNA의 다형현상)

  • 김봉기
    • The Korean Journal of Zoology
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    • v.31 no.3
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    • pp.218-224
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    • 1988
  • Restriction endonucleases were used to search for intraspecific variation at 32 cleavage sites in mitochondrial DNA(mtDNA) purified from fourteen strains of Drosophila melanogaster helonging to different localities of the world. mtDNA of D. melanogaster was displayed site variation(Hpall, Haelll and Seal endonucleases) and length variation(maxirnum 550bp). Six genotypes, Ml, M2, M3, M4, M6 and M7, could be distinguished based on ihe site types witti a low average of intraspecific substitution rate (1.88%),but M5 type of Ogasawara strain in Japan was not detected in this study. A possible explanation for the low divergence was that mtDNA variation of fourteen strains in D. melanogaster could not he accumulated sufficiently owing to recent divergence of few individuals, and that sequence divergence was prevented by frequent migration in spite of the geographical isolation.

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The Effect of Divergence Angle on the Control Valve Trim Characteristics (확산각이 밸브 트림 특성에 미치는 영향)

  • Go, Tae-Sig;Kim, Kuisoon
    • The KSFM Journal of Fluid Machinery
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    • v.16 no.1
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    • pp.32-39
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    • 2013
  • The multi-stage control valve is one of the devices which controls cavitation and high pressure drop. To attain the high pressure drop, the conventional control valves adopted the multi-stage trim to avoid the occurrence of local cavitation in valves. This work studied the effect of divergence angle on the characteristics of multi-stage trim. Pressure drop and flow characteristics was calculated for the 1 passage of multi-staged trim by using the FLUENT 6.3.26. The result showed that the pressure drop is significantly influenced by the divergence angle of multi-stage trim. In addition, the pressure drop increased consistently as the Reynolds number and divergence angle increases.

Genetic Divergence of Two Types of Finespotted Flounder, Pleuronichthys cornutus, Distributed in the Japan Sea Area (일본 해역에 서식하고 있는 도다리, Pleuronichthys cornutus, 2형간의 유전적 분기)

  • PARK Jung-Youn;KIJIMA Akihiro;KANG Yong-Joo
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.27 no.3
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    • pp.306-313
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    • 1994
  • In order to estimate the degree of genetic divergence between the two types of finespotted flounder, Pleuronichthys cornutus which is important commercially in Japan, isozyme analysis was carried out by starch gel electrophoresis. Twenty two loci coding for fourteen enzymes were scored in two types of finespotted flounder and three completely divergent loci (Acp, Idh-2 and Mdh-2), with no common alleles, were observed between these two types. Nei's genetic distance between two types was 0.46592. However, the expected average heterozygosity was 0.120 in type A (Hon meitagarei) and 0.095 in type B (Bake meitagarei) These results mean that the existence of two types of finespotted flounder was established in this study which may have had genetic divergence and the divergence time of these two types may have been about $2.3{\times}10^6$ years ago.

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Effect of EEG Wave Type on Visual Cortex of Visual Target according to Position of Fixation Point (주시점의 위치에 따른 시 표적이 시피질의 뇌파에 미치는 영향)

  • Kim, Douk-Hoon;Cho, Jin-Wook;Nam, Sang-He
    • Journal of Korean Ophthalmic Optics Society
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    • v.5 no.1
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    • pp.101-105
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    • 2000
  • This study was to investigate the effect of EEG wave type on visual cortex of visual target according to position of fixation point on the Korean. Visual evoked potential system used the BIO-Pag and recorded to 586 computer. The illumination was 500 lux and the visual target was red light dot of 3 cm size. The results of the convergence and divergence as follows: The visual stimulation waves on the visual cortex have about 70% of delta wave, about 10% of beta wave, about 9% of theta wave and about 7% of alpha wave respectively. The convergence state was much more appeared the fast wave on the comparative of the divergence. Therefore, the convergence state was much more producted the beta and alpha wave on the comparative of the divergence. On the other hand, on the convergence and divergence, the histogram amplitude of EEG wave appeared almost the non-Gaussian shape. According to the phase analysis of amplitude of EEG wave almost all type was linear shape.

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Spring Position and Stiffness Effect on the Dynamic Stability of Elastically Restrained Cantilevered Beams under a Follower Force (종동력을 받는 탄성지지된 외팔보의 동적 안정성에 미치는 스프링위치와 상수의 영향)

  • 류봉조;권경우;명태식
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.6
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    • pp.1496-1502
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    • 1994
  • The influences of spring position and spring stiffness on the critical force of a cantilevered beam subjected to a follower force are investigated. The spring attatched to the beam is assumed to be a translational one and can be located at arbitrary positions of the beam as it has not been assumed so far. The effects of transeverse shear deformation and rotary intertia of the beam are also included in this analysis. The charateristic equation for the system is derived and a finite element model of the beam using local coordinates is formulated through extended Hamilton's principle. It is found that when the spring is located at position less than that of 0.5L, the flutter type instability only exists. It is shown that the spring position approaches to the free end of the beam from its midpoint, instability type is changed from flutter to divergence through the jump phenomina according to the increase of spring stiffness.