• Title/Summary/Keyword: f-stable

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Prevalence of pili and enterotoxins of Escherichia coli associated with diarrhea in preweaning piglets (포유자돈 소장에서 분리된 대장균의 섬모항원과 장내독소 분포양상)

  • Ham, Hee-jin;Cheon, Doo-sung;Chae, Chan-hee
    • Korean Journal of Veterinary Research
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    • v.37 no.4
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    • pp.779-784
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    • 1997
  • A comprehensive study of 132 Escherichia coli isolates from 150 piglets with colibacillosis included detection of heat-labile enterotoxin, heat-stable enterotoxin, and identification of K88 (F4), K99 (F5), 987P (F6), and F41. Four pili were examined by haemagglutination and slide agglutination test. Heat-labile(LT) and heat-stable(ST) enterotoxin was determined by reverse passive latex agglutination and precipitation test, respectively. Among 132 E coli isolates, 26 had K88 (19.7%), 16 had K99 (12.1%), 3 had 987P (2.3%), and 2 had F41 (1.5%). Three had K88 and K99 (2.3%), 3 had K88 and 987P (2.3%), 2 had K99 and 987P (1.5%), 5 had K99 and F41 (3.8%), and 8 E coli strains had K88, K99 and F41 (6.1%) simultaneously. Among 132 E coli isolates, 5 produced LT only (3.8%), 55 produced heat-stable toxin ST only (41.7%), and 4 produced both LT and ST (3.0%). Three major pathotypes accounted for 27.9% of E coli isolates: $K99^+$ (8.3%), $K88^+ST^+$ (9%) and $K88^+$ (10.6%). Results of this study indicated that piliated enterotoxin-producing E coli was prevalent and was associated with diarrhea in preweaning piglets.

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STABLE MINIMAL HYPERSURFACES IN A CRITICAL POINT EQUATION

  • HWang, Seung-Su
    • Communications of the Korean Mathematical Society
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    • v.20 no.4
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    • pp.775-779
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    • 2005
  • On a compact n-dimensional manifold $M^n$, a critical point of the total scalar curvature functional, restricted to the space of metrics with constant scalar curvature of volume 1, satifies the critical point equation (CPE), given by $Z_g\;=\;s_g^{1\ast}(f)$. It has been conjectured that a solution (g, f) of CPE is Einstein. The purpose of the present paper is to prove that every compact stable minimal hypersurface is in a certain hypersurface of $M^n$ under an assumption that Ker($s_g^{1\ast}{\neq}0$).

On the Topological Stability in Dynamical Systems

  • Koo, Ki-Shik
    • Journal of the Chungcheong Mathematical Society
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    • v.7 no.1
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    • pp.199-209
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    • 1994
  • In this paper, we show that a persistent dynamical system is structurally stable with respect to $E_{\alpha}$(X) for every ${\alpha}$ > 0 if it is expansive. Also, we prove that a homeomorphism$ f:{\Omega}(f){\rightarrow}{\Omega}(f)$ has the semi-shadowing property then so does $f:\overline{C(f)}{\rightarrow}\overline{C(f)}$.

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A NONEXISTENCE THEOREM FOR STABLE EXPONENTIALLY HARMONIC MAPS

  • Koh, Sung-Eun
    • Bulletin of the Korean Mathematical Society
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    • v.32 no.2
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    • pp.211-214
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    • 1995
  • Let M and N be compact Riemannian manifolds and $f : M \to N$ be a smooth map. Following J. Eells, f is exponentially harmonic if it represents a critical point of the exponential energy integral $$ E(f) = \int_{M} exp(\left\$\mid$ df \right\$\mid$^2) dM $$ where $(\left\ df $\mid$\right\$\mid$^2$ is the energy density defined as $\sum_{i=1}^{m} \left\$\mid$ df(e_i) \right\$\mid$^2$, m = dimM, for orthonormal frame $e_i$ of M. The Euler- Lagrange equation of the exponential energy functional E can be written $$ exp(\left\$\mid$ df \right\$\mid$^2)(\tau(f) + df(\nabla\left\$\mid$ df \right\$\mid$^2)) = 0 $$ where $\tau(f)$ is the tension field along f. Hence, if the energy density is constant, every harmonic map is exponentially harmonic and vice versa.

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The study of Phellodendron amurense Rupr. Dyeing (황벽의 염색성에 관한연구)

  • 소황옥
    • Journal of the Korean Society of Costume
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    • v.27
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    • pp.121-132
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    • 1996
  • This study showed the proper pigment extract in the Phe. Dyeing which is the basic dye of the natural plants dyeing,. Also it compared and examined the K/S the promotion of the color fastness and the effect of color difference change were attended by mordants and method of mordanting. 1. The most absorbance of Phellodendron. sol-ution is 330nm berberine is 430nm. 2. The best and proper temperature to extrat Phe,. was 80 and dyeing solution for 24 hours. 3. The pH effect was stable in the absorbances and color differences change. 4. Mordanted group increased the absorbances compared to non-mordanted sample. In case depth the most absorbance of Al. Sn. K. Cu and C. A solution were in 3% Fe and Cr were in 5%. In the color difference change they became dark reduced greenish and increased yellowish when their absorbances were in 3% 5. K./S was recoginzed by tainnin and fe, K/S was more increased pre-mordants than post-mordants. 6. Fe is the unchangable mordant in the color difference change and pre-mordants is more stable than post-mordants in the difference color. 7. Generally light C. F indicated more than grade 2 and light C. F, was much improved in post-mordanted by alumium potassium potass-ium dichromate. Washing C.F was improved in mordanted by tainnin and ferrous suulfate mordanted group was better than non-mordanted sample. Perspir-ation C,F was more stable in acid than alkali. Dry cleaning C.F indicated more than grade. 4.

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STABILITY AND TOPOLOGY OF TRANSLATING SOLITONS FOR THE MEAN CURVATURE FLOW WITH THE SMALL Lm NORM OF THE SECOND FUNDAMENTAL FORM

  • Eungmo, Nam;Juncheol, Pyo
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.1
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    • pp.171-184
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    • 2023
  • In this paper, we show that a complete translating soliton Σm in ℝn for the mean curvature flow is stable with respect to weighted volume functional if Σ satisfies that the Lm norm of the second fundamental form is smaller than an explicit constant that depends only on the dimension of Σ and the Sobolev constant provided in Michael and Simon [12]. Under the same assumption, we also prove that under this upper bound, there is no non-trivial f-harmonic 1-form of L2f on Σ. With the additional assumption that Σ is contained in an upper half-space with respect to the translating direction then it has only one end.

Chain Recurrences on Conservative Dynamics

  • Choy, Jaeyoo;Chu, Hahng-Yun
    • Kyungpook Mathematical Journal
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    • v.54 no.2
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    • pp.165-171
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    • 2014
  • Let M be a manifold with a volume form ${\omega}$ and $f:M{\rightarrow}M$ be a diffeomorphism of class 𝒞$^1$ that preserves ${\omega}$. We prove that if M is almost bounded for the diffeomorphism f, then M is chain recurrent. Moreover, we get that Lagrange stable volume-preserving manifolds are also chain recurrent.

DYNAMICAL STABILITY AND SHADOWING PROPERTY OF CONTINUOUS MAPS

  • Koo, Ki-Shik;Ryu, Hyun Sook
    • Journal of the Chungcheong Mathematical Society
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    • v.11 no.1
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    • pp.73-85
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    • 1998
  • This paper deals with the topological stability of continuous maps. First, the notion of local expansion is given and we show that local expansions of compact metric spaces have the shadowing property. Also, we prove that if a continuous surjective map f is a local homeomorphism and local expansion, then f is topologically stable in the class of continuous surjective maps. Finally, we find homeomorphisms which are not topologically stable.

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A Study of Reverse Field Coordination by Toroidal Field (톨로이달 자계에 의한 역전자계 배위 연구)

  • Kim, Won-Sop
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2010.06a
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    • pp.288-288
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    • 2010
  • In this study radio rotatiing field is used in order to form the stable reversed field configuration. The experimental study removing the flux conserving ring not so as to conserve toroidal flux, it was found that there occurred a rapid formation of a stable reversed field configuration, in which toroidal flux was increased shaping reversed field configuration and F-$\Theta$ locus traced close to BFM because it started below F value.

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CENTRAL LIMIT THEOREMS FOR BELLMAN-HARRIS PROCESSES

  • Kang, Hye-Jeong
    • Journal of the Korean Mathematical Society
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    • v.36 no.5
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    • pp.923-943
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    • 1999
  • In this paper we consider functionals of the empirical age distribution of supercritical Bellman-Harris processes. Let f : R+ longrightarrow R be a measurable function that integrates to zero with respect to the stable age distribution in a supercritical Bellman-Harris process with no extinction. We present sufficient conditions for the asymptotic normality of the mean of f with respect to the empirical age distribution at time t.

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