• Title/Summary/Keyword: *-isolated points

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PRIMITIVE CIRCLE ACTIONS ON ALMOST COMPLEX MANIFOLDS WITH ISOLATED FIXED POINTS

  • Jang, Donghoon
    • East Asian mathematical journal
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    • v.35 no.3
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    • pp.357-363
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    • 2019
  • Let the circle act on a compact almost complex manifold M with a non-empty discrete fixed point set. To each fixed point, there are associated non-zero integers called weights. A positive weight w is called primitive if it cannot be written as the sum of positive weights, other than w itself. In this paper, we show that if every weight is primitive, then the Todd genus Todd(M) of M is positive and there are $Todd(M){\cdot}2^n$ fixed points, where dim M = 2n. This generalizes the result for symplectic semi-free actions by Tolman and Weitsman [8], the result for semi-free actions on almost complex manifolds by the author [6], and the result for certain symplectic actions by Godinho [1].

A CHARACTERIZATION OF CONCENTRIC HYPERSPHERES IN ℝn

  • Kim, Dong-Soo;Kim, Young Ho
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.2
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    • pp.531-538
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    • 2014
  • Concentric hyperspheres in the n-dimensional Euclidean space $\mathbb{R}^n$ are the level hypersurfaces of a radial function f : $\mathbb{R}^n{\rightarrow}\mathbb{R}$. The magnitude $||{\nabla}f||$ of the gradient of such a radial function f : $\mathbb{R}^n{\rightarrow}\mathbb{R}$ is a function of the function f. We are interested in the converse problem. As a result, we show that if the magnitude of the gradient of a function f : $\mathbb{R}^n{\rightarrow}\mathbb{R}$ with isolated critical points is a function of f itself, then f is either a radial function or a function of a linear function. That is, the level hypersurfaces are either concentric hyperspheres or parallel hyperplanes. As a corollary, we see that if the magnitude of a conservative vector field with isolated singularities on $\mathbb{R}^n$ is a function of its scalar potential, then either it is a central vector field or it has constant direction.

Inducible Periplasmic Chromate Reducing Activity in Pseudomonas aeruginosa Isolated from a Leather Tannery Effluent

  • GANGULI, A.;TRIPATHI, A.K.
    • Journal of Microbiology and Biotechnology
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    • v.11 no.3
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    • pp.355-361
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    • 2001
  • A Chromate tolerant strain of Pseudomonas aeruginosa isolated from the effluent of a tannery showed significant enzymatic activity of chromate reduction. Cells grown in chromate-supplemented medium reduced 8 $\mu\textrm{g}$ chromate/mg protein/h in the presence of NADH/NADPH. The chromate reducing activity was inducible as cells pregrown in chromate showed higher chromate reduction. In contrast, the periplasmic fraction of cells gown in chromate reduce $75\%$ chromate in 4 h and the spheroplast fraction failed to do so, indicating that chromate reductase may be located in the periplasm. The presence of a 30 kDa protein in the periplasmic extracts of cells grown in the presence of chromate, but its absence of the protein in cells grown without chromate, points out a possible role of this protein in chromate reduction.

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Isolation of Verocytotoxin Producing Escherichia coli O157:H7 Due to Fcal Contamination on Carcass Surfaces (도체표면의 분변오염과 Verotoxin 생성 Escherichia coli O157:H7 분리에 관한 연구)

  • 홍종해;고주언
    • Journal of Food Hygiene and Safety
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    • v.12 no.1
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    • pp.78-82
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    • 1997
  • Surface swab samples from beef (188), pork (240) and chicken (95) carcasses were collected from slaughterhouse in Kangwon and Kyunggi areas from March through July 1996. The samples were examined on the level of E. coli biotype I relevant to fecal contamination due to unsanitary processing control and the existence of verocytotoxin-producing E. coli (VTEC). E. coli biotype I were confirmed from 38.8% of beef, 40.0% of pork, and 69.5% of chicken carcasses. Little variation was noted among three sampling points; rump, flank and neck of beef, ham, belly and jowls of pork. coli O157:H7 was only confirmed from 2 of 188 beef carcasses. E. coli biotype I. All the isolated E. coli O157 showed positive for vero cell cytotoxicity test. Isolation rate of E. coli O157 in summer was higher than in spring. In case of pork and chicken carcasses, E. coli O157 was isolated in summer only.

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A Study on the Large Deflection Behavior of Ship Plate with Secondary Buckling (2차좌굴을 포함하는 선체판의 대변형거동에 관한 연구)

  • 고재용
    • Journal of Advanced Marine Engineering and Technology
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    • v.23 no.4
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    • pp.565-573
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    • 1999
  • Hihg Tensile Steel enables to reduce the plate thickness comparing to the case when Mild Steel is used. From the economical view points this is very preferable since the reduction in the hull weight. however to use the High Tensile Steel effectively the plate thickness may become thin so that the occurrence of buckling is inevitable and design allowing plate buckling may be necessary. If the inplane stiffness of the plating decreases due to buckling the flexural rigidity of the cross sect6ion of a ship's hull also decreases. This may lead to excessive deflection of the hull girder under longitudinal bending. In these cases a precise estimation of plate's behavior after buckling is necessary and nonliner analysis of isolated and stiffened plates is required for structural sys-tem analysis. In this connection this paper discusses nonlinear behaviour of thin plate under thrust. Based on the analytical method elastic large deflection analysis of isolated plate is perform and simple expression are derived to evaluated the inplane rigidity of plates subjected to uniaxial compression.

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Investigation of effectiveness of double concave friction pendulum bearings

  • Ates, Sevket
    • Computers and Concrete
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    • v.9 no.3
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    • pp.195-213
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    • 2012
  • This paper presents the investigation of the stochastic responses of seismically isolated bridges subjected to spatially varying earthquake ground motions including incoherence, wave-passage and site-response effects. The incoherence effect is examined by considering Harichandran and Vanmarcke coherency model. The effect of the wave-passage is dealt with various wave velocities in the response analysis. Homogeneous firm, medium and soft soil conditions are selected for considering the site-response effect where the bridge supports are constructed. The ground motion is described by filtered white noise and applied to each support points. For seismic isolation of the bridge, single and double concave friction pendulum bearings are used. Due to presence of friction on the concave surfaces of the isolation systems, the equation of motion of is non-linear. The non-linear equation of motion is solved by using equivalent linearization technique of non-linear stochastic analyses. Solutions obtained from the stochastic analyses of non-isolated and isolated bridges to spatially varying earthquake ground motions compared with each other for the special cases of the ground motion model. It is concluded that friction pendulum systems having single and double concave surfaces have important effects on the stochastic responses of bridges to spatially varying earthquake ground motions.

Studies on the Serological Classification for Korean aspergilli (한국산 Aspergilli의 혈청학적 분류방법)

  • 문희주;이배함
    • Korean Journal of Microbiology
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    • v.12 no.4
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    • pp.180-187
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    • 1974
  • Of the Asp. spp. isolated by the Institute of Applied Microbiology, Kon-Kuk University, 7 strains were selected for the study of the immunological differencences among them using gel precipitation test. The strains were the following types : 1 type of flavus and 2 types of oryzae were isolated from Meju ; 1 type of flavus from Nuruk ; and each one type of flavus, parasiticus and oryzae from Kokja.Asp.flavus from ATCC, Asp. parasiticus nad Asp. niger NRRL strains were also used in the study as a standard. From this study, several points can be raised ; 1) There was no common antigenic property between Asp. niger and Asp. flavus, because of no formation of reaction line. Therefore, all strains could be easily distinguished. 2) There was common antigenic property, that is, the formation of reaction line between Asp. flavus and Asp. parasticus. Accordingly two strains could not be easily distinguished by the gel precipitation test. 3) Each type of oryzae, parasiticus and flavus of Asp. flavus group had common antigen one another as well as specific antigens only in the difference of the reaction lines, so they could be easily identified in the gel precipitation test. 4) Each isolated strain from Meju and Nuruk appeared to be identical. 5) It was shown that the gel precipitation test of serological methods was very useful for the classification of Asp. spp.

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Line Edge-Based Type-Specific Corner Points Extraction for the Analysis of Table Form Document Structure (표 서식 문서의 구조 분석을 위한 선분 에지 기반의 유형별 꼭짓점 검출)

  • Jung, Jae-young
    • Journal of Digital Contents Society
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    • v.15 no.2
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    • pp.209-217
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    • 2014
  • It is very important to classify a lot of table-form documents into the same type of classes or to extract information filled in the template automatically. For these, it is necessary to accurately analyze table-form structure. This paper proposes an algorithm to extract corner points based on line edge segments and to classify the type of junction from table-form images. The algorithm preprocesses image through binarization, skew correction, deletion of isolated small area of black color because that they are probably generated by noises.. And then, it processes detections of edge block, line edges from a edge block, corner points. The extracted corner points are classified as 9 types of junction based on the combination of horizontal/vertical line edge segments in a block. The proposed method is applied to the several unconstraint document images such as tax form, transaction receipt, ordinary document containing tables, etc. The experimental results show that the performance of point detection is over 99%. Considering that almost corner points make a correspondence pair in the table, the information of type of corner and width of line may be useful to analyse the structure of table-form document.

ON $\mathcal{I}$-SCATTERED SPACES

  • Li, Zhaowen;Lu, Shizhan
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.3
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    • pp.667-680
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    • 2014
  • In this paper, $\mathcal{I}$-scattered spaces are introduced, and their characterizations and properties are given. We prove that (X, ${\tau}$) is scattered if and only if (X, ${\tau}$, $\mathcal{I}$) is $\mathcal{I}$-scattered for any ideal $\mathcal{I}$ on X.

Chiral Synthesis of Costunolide

  • Sumaila Abu;Jeong, Jin-Hyun;Shin, Dong-Hyok
    • Proceedings of the PSK Conference
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    • 2002.10a
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    • pp.363.1-363.1
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    • 2002
  • Costunolide. a sesquiterpene lactone is isolated from Magnolia Sieboldi. It is known to possess antitumour and anti-inflammatory activities. This compound is synthesized from Ihe easily available decalin dione using the ring cleavage approach to construct the ten-membered ring system. The two keys points in this work are the chiral inductionon the allyl alcohol moiety using Sharpless epoxidation reaction and opening of the eopxide with an organocuprate reagent which leads to a $\alpha$-exomethylene lactone. (omitted)

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