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EVERY DEFINABLE Cr MANIFOLD IS AFFINE

  • KAWAKAMI, TOMOHIRO
    • 대한수학회보
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    • 제42권1호
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    • pp.165-167
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    • 2005
  • Let M = (R, +, $\cdot$, <, ... ) be an o-minimal expansion of the standard structure R = (R, +, $\cdot$, >) of the field of real numbers. We prove that if 2 $\le$ r < $\infty$, then every n-dimensional definable $C^r$ manifold is definably $C^r$ imbeddable into $R^{2n+l}$. Moreover we prove that if 1 < s < r < $\infty$, then every definable $C^s$ manifold admits a unique definable $C^r$ manifold structure up to definable $C^r$ diffeomorphism.

대청호 상류 유역의 비점오염원 유출특성 분석 및 L-THIA 모형 적용성 평가 (Analysis of the Characteristics of NPS Runoff and Application of L-THIA model at Upper Daecheong Reservoir)

  • 신민환;이재안;천세억;이열재;임경재;최중대
    • 한국농공학회논문집
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    • 제52권1호
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    • pp.1-11
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    • 2010
  • Generation and transportation of runoff and pollutant loads within watershed generated eutrophication at Daecheong reservoir. To improve water quality at Daecheong reservoir, the best management practices should be developed and applied at upper watersheds for water quality improvement at downstream areas. In this study, two small watersheds of upper Daecheong reservoir were selected. The Long-Term Hydrologic Impact Assessment (L-THIA) model has been widely used for the estimation of the direct runoff worldwide. To apply the L-THIA ArcView GIS model was evaluated for direct runoff and water quality estimation at small watershed. And the Web-based Hydrograph Analysis Tool (WHAT) was used for direct runoff separating from total flow. As a result, the $R^2$ (Coefficient of determination) value and Nash-Sutcliffe coefficient value for direct runoff comparison at An-nae watershed were 0.81 and 0.71, respectively. And the $R^2$ value and Nash-Sutcliffe coefficient value at Wol-oe were 0.95 and 0.93. The $R^2$ value of BOD, TOC, T-N and T-P at An-nae watershed were BOD 0.94, TOC 0.81, T-N 0.94 and T-P 0.89. And the $R^2$ value of BOD, TOC, T-N and T-P at Wol-oe watershed were BOD 0.80, TOC 0.93, T-N 0.86 and T-P 0.65. The result that estimated pollutant loadings using the L-THIA ArcView GIS model reflected well the measured pollutant loadings except for T-P in Wol-oe watershed. With L-THIA ArcView GIS model, the direct runoff and non-point pollutant (NPS) loadings in the watershed could be analyzed through simple input data such as daily rainfall, land uses, and hydrologic soil group.

퍼지 제어기의 함수 구현능력에 대한 연구 (A Study on the Function Generating Capability of the Fuzzy Controllers)

  • 이지홍;정병현;채석;오영석
    • 전자공학회논문지B
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    • 제29B권7호
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    • pp.87-97
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    • 1992
  • Fuzzy controllers have been successfully applied to many cases to which conventional control algorithms are difficult to be applied. Even though the representations and the processings of data and information in the fuzzy controller are quite different from those in other control algorithms, the information processing operation that it caries out is basically a function ∫: $A{\subset}R^n{\to}R^m$, from a bounded subset A of an n-dimensional Euclidean space to a bounded subset f[A] of an m-dimensional Euclidean space, where n and m are the number of measured states and the number of control inputs of the controlled system, respectively. Under the assumptions of Mamdani's direct reasoning method and C.O.G.(center of gravity) defuzzification method, the fuzzy controllers are proven to perform the mapping of any given functions f with appropriately defined fuzzy sets. The mapping capabilities of fuzzy controllers are analyzed in detail for two cases, ∫: $R^{1}{\to}R^{1}$ and g: $R^{2}{\to}R^{1}$. Also, it will be shown that the results can be extended to multiple dimensional cases.

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글로벌 아트페어(Global Art Fair) 비평적 읽기

  • 심상용
    • 미술이론과 현장
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    • 제6호
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    • pp.51-76
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    • 2008
  • Nous obserbons dans le champs de l'art aujourd' hui, le changement radical provoquant $\'{e}$tant donn$\'{e}$ que le pouvoir du march$\'{e}$ de l'art s'augmente de plus en plus. C'est pour cela que le champ du discours de l'art n'est actuellement plus form$\'{e}$ par des notions esth$\`{e}$tiques artistiques, mais par celles qui sont r$\'{e}$serv$\'{e}$es au domaine de l'$\'{e}$conomie et du march$\'{e}$. Il n'est plus significatif de croire la valeur esth$\`{e}$tique de l'oeuvre d'art, puisque l'esth$\`{e}$tique elle-m$\^{e}$me ne fonctionne plus. Par contre, le syst$\`{e}$me de donner le prix $\`{a}$ l'oeuvre d'art fonctionne rigoureusement. En plus, cette situation s'aggrave $\'{e}$tant donn$\'{e}$ que la mondialisation du march$\'{e}$ de l'art s'installe avec rapidit$\'{e}$. Malgr$\'{e}$ la mondialisation de l'art, des gens qui habitent par exemple $\`{a}$ S$\'{e}$oul ne peuvent pas s' approcher facilement de ce qui se passe $\`{a}$ New York, le vrai centre de l'art contemporain. Dans cette situation, le champ de discours de l'art n'a pas d'autre solution de se r$\'{e}$tr$\'{e}$cir remaquablement et le sujet de discussion sur le grand art est remplac$\'{e}$ par celui du success de l'art. Cette recherche est arriv$\'{e}$e $\`{a}$ remarquer que le syst$\`{e}$me du foire internationale de l'art fonctionne comme une locomotive dans le march$\'{e}$ de l'art qui est le vrai dominateur de l'art contemporain. Aujourd'hui les grands clients du monde de l'art et les jeunes sp$\'{e}$ctateurs, les clients de l'avenir s'assemblent autour de quelques foires internationales r$\'{e}$put$\'{e}$s qui ont de l'autorit$\'{e}$. C'est ainsi que l'achat et la vante de l'oeuvres d'art est suffisamment mondialis$\'{e}$ et que le syst$\`{e}$me local du march$\'{e}$ est d$\'{e}$rang$\'{e}$ et s'$\'{e}$ffondr$\'{e}$gravement. Malgr$\'{e}$ la diff$\'{e}$rence significative, la majorit$\'{e}$ des galeries d'art lacaux s'oblige de suivre $\`{a}$ la suite du style du foire internationale de l'art. C'est la raison pour laquelle que cette recherche se fait une id$\'{e}$e nette que la prosp$\'{e}$rit$\'{e}$ actuelle du march$\'{e}$ de l'art n'est que la situation $\'{e}$conomique ou financi$\`{e}$re. A ce stade de la r$\'{e}$flexion, cette recherche arrivera $\`{a}$ poser une question primordiale ci-dessous: "Si l'art qu'on $\`{a}$ l'intention de proclamer ne serai plus possible de faire r$\'{e}$fl$\'{e}$chir sur la libert$\'{e}$ et la solidarit$\'{e}$ humain, la dignit$\'{e}$ de l'homme, cet art n'est plus autre chose que l'insignifiance. Au lieu de parcourir divers ph$\'{e}$nom$\`{e}$ne du march$\'{e}$ de l'art aujourd'hui, cette recherche fixera son attention sur la r$\'{e}$alit$\'{e}$ du foire internationales de l'art. Dans ce context, cette recherche sera compos$\'{e}$e par trois chapitres donc le premi$\`{e}$re essayera de r$\'{e}$pondre $\'{a}$ la question de son influence extraodinairement puissante. Le deuxi$\`{e}$me chapitre essayera d'analiser la r$\'{e}$alit$\'{e}$ et la source du pouvoir du foire internationale de l'art. Nous essayeront au troisi$\`{e}$me chapitre de configurer le point de vue critique qui permettra de bien comprendre notre sujet.

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PERTURBATION OF NONHARMONIC FOURIER SERIES AND NONUNIFORM SAMPLING THEOREM

  • Park, Hee-Chul;Shin, Chang-Eon
    • 대한수학회보
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    • 제44권2호
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    • pp.351-358
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    • 2007
  • For an entire function f whose Fourier transform has a compact support confined to $[-{\pi},\;{\pi}]$ and restriction to ${\mathbb{R}}$ belongs to $L^2{\mathbb{R}}$, we derive a nonuniform sampling theorem of Lagrange interpolation type with sampling points ${\lambda}_n{\in}{\mathbb{R}},\;n{\in}{\mathbb{Z}}$, under the condition that $$\frac{lim\;sup}{n{\rightarrow}{\infty}}|{\lambda}_n-n|<\frac {1}{4}$.

LAGUERRE CHARACTERIZATIONS OF HYPERSURFACES IN ℝn

  • Shu, Shichang;Li, Yanyan
    • 대한수학회보
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    • 제50권6호
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    • pp.1781-1797
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    • 2013
  • Let x : $M{\rightarrow}\mathbb{R}^n$ be an n - 1-dimensional hypersurface in $\mathbb{R}^n$, L be the Laguerre Blaschke tensor, B be the Laguerre second fundamental form and $D=L+{\lambda}B$ be the Laguerre para-Blaschke tensor of the immersion x, where ${\lambda}$ is a constant. The aim of this article is to study Laguerre Blaschke isoparametric hypersurfaces and Laguerre para-Blaschke isoparametric hypersurfaces in $\mathbb{R}^n$ with three distinct Laguerre principal curvatures one of which is simple. We obtain some classification results of such isoparametric hypersurfaces.

Distribution Status of Hybrid Types in Large Liver Flukes, Fasciola Species (Digenea: Fasciolidae), from Ruminants and Humans in Vietnam

  • Nguyen, Thi Bich Nga;De, Nguyen Van;Nguyen, Thi Kim Lan;Quang, Huynh Hong;Doan, Huong Thi Thanh;Agatsuma, Takeshi;Le, Thanh Hoa
    • Parasites, Hosts and Diseases
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    • 제56권5호
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    • pp.453-461
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    • 2018
  • The aim of this study is to delineate 'admixed hybrid' and 'introgressive' Fasciola genotypes present in the Fasciola population in Vietnam. Adult liver flukes collected from ruminants in 18 Provinces were morphologically sorted out by naked eyes for small (S), medium (M) and large (L) body shapes; and human samples (n=14) from patients. Nuclear ribosomal (rDNA) ITS1 and ITS2, and mitochondrial (mtDNA) nad1 markers were used for determination of their genetic status. Total 4,725 worm samples of ruminants were tentatively classified by their size: 6% (n=284) small (S)-, 13% (n=614) medium (M)-, and 81% (n=3,827) large (L)-forms. All the representative (n=120, as 40 each group) and 14 human specimens, possessed maternal mtDNA of only F. gigantica and none of F. hepatica. Paternally, all (100%) of the L-(n=40) and 77.5% (n=31) of the M-flukes had single F. gigantica rDNA indicating 'pure' F. gigantica. A majority (90%, n=36) of the S- and 15% (n=6) of the M-worms had single F. hepatica rDNA, indicating their introgressive; the rest (10%, n=4) of the S- and 7.5% (n=3) of the M-flukes had mixture of both F. gigantica and F. hepatica rDNAs, confirming their admixed hybrid genetic status. Fourteen human samples revealed 9 (64%) of pure F. gigantica, 3 (22%) of introgressive and 2 (14%) of admixed hybrid Fasciola spp. By the present study, it was confirmed that the small worms, which are morphologically identical with F. hepatica, are admixed and/or introgressive hybrids of Fasciola spp., and able to be the pathogens of human fascioliasis.

ApPDE4 long-form의 N-말단 돌연변이체들의 세포내타기팅과 타기팅 기전 분석 (Analysis of molecular mechanism of cellular localization of various N-terminal mutants of Aplysia PDE4 in HEK293T cells)

  • 엄수민;전용우;김건형;이진아;장덕진
    • 분석과학
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    • 제29권1호
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    • pp.10-18
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    • 2016
  • Phosphodiesterase(PDE)는 세포내에서 cAMP를 분해하는 효소로 세포의 신호 전달에 중요한 기능을 수행하는 것으로 알려져 왔다. 이전의 연구를 통해 군소에서 클로닝된 PDE4 long-form의 N-말단에 위치하는 16개 아미노산만으로 충분히 원형질막에 타기팅됨을 알 수 있었다. 본 연구에서는 ApPDE4의 N-말단 16개(L(N16))를 주형으로 해서 9-11번째와 15번째 아미노산들(RHW-C)을 무작위적으로 아마노산에 돌연변이를 주어서 세포내 타기팅에 미치는 영향을 분석해 보았다. 본 연구를 통해 원형질막과 골지체로 타기팅되는 돌연변이체들과 골지체로만 타기팅되는 돌연변이체들과, 소포체와 골지체로 동시에 타기팅되는 돌연변이체들과, 세포질에만 위치하는 돌연변이체들을 얻을 수 있었다. 또한, 이러한 타기팅에 palmitoylation이 영향을 주는지 확인하기 위해 palmitoylation 억제제인 2-BR을 처리해보니 대부분의 돌연변이체에서 원형질막 타기팅이 사라지는 것을 확인하였다. 이를통해 palmitoylation이 ApPDE4 돌연변이체들의 원형질막 타기팅에 중요하다는 사실을 확인할 수 있었다. 또한, 이들 돌연변이체들중 골지체로만 타기팅되는 L(N16,C3S/VV/G)-mRFP와 L(N16,C3S/LFS/R)-mRFP와 L(N16,EPL/R)-mRFP들의 경우는 골지체 타기팅에 인지질 중에 하나인 PI4P가 중요한 역할을 하는 것을 알 수 있었다.

Inactivation of Thermolysin with N-Chloroacetyl-N-hydroxy-β-L-phenylalanine N-methylamide

  • 진용화;Kim, Dong H.
    • Bulletin of the Korean Chemical Society
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    • 제20권7호
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    • pp.777-780
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    • 1999
  • N-Chloroacetyl-N-hydroxy- β-Phe-NHMe and N-chloroacetyl-N-hydroxy-α-Phe-OMe were designed, synthe-sized and evaluated as irreversible inhibitors of thermolysin, a representative zinc protease. Analysis of kinetic data of the enzymic activity of thermolysin in the presence of these inhibitors revealed that they are indeed potent inactivators of thermolysin having the k(inact)/K(I ) values of 3.06 and 0.05 M (-1) s(-1) , respectively. We have established that the inhibitory activity of N-chloroacetyl-N-hydroxy-β-Phe-NHMe stems mainly from the (R)-enantiomer that belongs to the "L" series. The (R)-enantiomer is also responsible for the inactivation in the case of N-chloroacetyl-N-hydroxy-α-Phe-OMe, but this enantiomer belongs to the "D"-series.

Quantification of Surface Topography Using Digital Image Analysis

  • Lee, Seok-Won
    • 한국지반공학회논문집
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    • 제15권3호
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    • pp.131-149
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    • 1999
  • 여러 연구들을 통하여 표면 거칠음 정도가 접촉면 전단력에 매우 중요함이 밝혀졌으며, 따라서 그 역할을 충분히 이해하기 위해서는 표면 거칠음 정도가 정확히 정량화 되어야 한다. 이 연구에서는 표면 형상을 정량화하기 위하여 일반적으로 사용되는 표면 거칠기 매개변수와 측정방법에 대하여 여러 참고문헌들을 검토하였다. 이것을 바탕으로 Normalized Roughness Parameter, $R_n$ (Uesugi and Kishida, 1986), Profile Roughness Parameter, $R_L$, 그리고 Surface Roughness Parameter, $R_n$(Dove and Frost, 1996)가 적합한 표면 거칠기 매개변수로 선택되었으며, 디지털 이미지 분석 시스템을 이용한 Optical Profile Microscopy(OPM) 방법을 표면 거칠음 측정방법으로 선택하였다 이 실험장비를 이용하여 일반적으로 사용되는 지오멤브레인의 표면과 표면 패턴을 대표하는, 표면이 매끄러운 것과 3가지 종류의 돌기형 HDPE 지오멤브레인을 사용하여, 전단 시험에 사용되지 않았던 지오멤브레인과 전단시험후의 지오멤브레인에 대한 표면 거칠음 정도의 정량화 작업을 수행하였다. 그 결과, $R_L과\; R_S$값은 이 연구에 사용된 지오멤브레인의 거칠음 정도를 충분한 측정범위로 표현할 수 있는 매개변수로 밝혀졌으나, $R_n$값은 충분히 표면 거칠음 정도의 차이를 표현하기에는 부족하게 매우 좁은 변화 범위를 나타내었다. 이 연구는 접촉면에서 표면 거칠음 정도가 접촉면 전단력에 미치는 영향을 조사하고자 우선적으로 표면 거칠음 정도의 정량화 작업을 연구한 것이다.

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