• Title/Summary/Keyword: $<_+$-stable

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TOPOLOGICAL ASPECTS OF THE THREE DIMENSIONAL CRITICAL POINT EQUATION

  • CHANG, JEONGWOOK
    • Honam Mathematical Journal
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    • v.27 no.3
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    • pp.477-485
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    • 2005
  • Let ($M^n$, g) be a compact oriented Riemannian manifold. It has been conjectured that every solution of the equation $z_g=D_gdf-{\Delta}_gfg-fr_g$ is an Einstein metric. In this article, we deal with the 3 dimensional case of the equation. In dimension 3, if the conjecture fails, there should be a stable minimal hypersurface in ($M^3$, g). We study some necessary conditions to guarantee that a stable minimal hypersurface exists in $M^3$.

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Preparation and Characterization of Stable Dispersions of Ni Nanoparticles

  • Lee, Eun-Hee;Lee, Min-Ku;Rhee, Chang-Kyu
    • Proceedings of the Korean Powder Metallurgy Institute Conference
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    • 2006.09a
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    • pp.413-414
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    • 2006
  • The effects of several experimental parameters on the formation of stable Ni nanoparticles dispersion were investigated. The suspensions of Ni nanoparticles were produced in organic solvents using Hypermer KD-2 as a dispersant. The transmission profiles, particle size distribution, zeta potential, and visual inspection results were used to discuss the stability of the dispersion. The optimal conditions for the formation of stable dispersion are evaluated.

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Study on the Polymorphism of Acetaminophen (아세트아미노펜의 결정다형에 관한 연구)

  • Sohn, Young-Taek
    • Journal of Pharmaceutical Investigation
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    • v.20 no.2
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    • pp.97-103
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    • 1990
  • The metastable modification of acetaminophen was prepared in industry scale. It was found that the dissolution rate of the metastable modification was greater than that of the original powder. The metastable modification was transformed to the stable modification by grinding, but it was not transformed by compression. Starch and lactose inhibited this transformation of the metastable modification to the stable modification by grinding.

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REPRESENTATION OF OPERATOR SEMI-STABLE DISTRIBUTIONS

  • Choi, Gyeong-Suk
    • Bulletin of the Korean Mathematical Society
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    • v.37 no.1
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    • pp.135-152
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    • 2000
  • For a linear operator Q from $R^{d}\; into\; R^{d},\; {\alpha}\;>0\; and\ 0-semi-stability and the operater semi-stability of probability measures on $R^{d}$ are defined. Characterization of $(Q,b,{\alpha})$-semi-stable Gaussian distribution is obtained and the relationship between the class of $(Q,b,{\alpha})$-semi-stable non-Gaussian distributions and that of operator semistable distributions is discussed.

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TOPOLOGICALLY STABLE POINTS AND UNIFORM LIMITS

  • Namjip Koo;Hyunhee Lee
    • Journal of the Korean Mathematical Society
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    • v.60 no.5
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    • pp.1043-1055
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    • 2023
  • In this paper we study a pointwise version of Walters topological stability in the class of homeomorphisms on a compact metric space. We also show that if a sequence of homeomorphisms on a compact metric space is uniformly expansive with the uniform shadowing property, then the limit is expansive with the shadowing property and so topologically stable. Furthermore, we give examples to illustrate our results.

Production of Bleach-Stable and Halo-Tolerant Alkaline Protease by an Alkalophilic Bacillus pumilus JB05 Isolated from Cement Industry Effluents

  • Johnvesly, B.;Naik, Gajanan R.
    • Journal of Microbiology and Biotechnology
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    • v.11 no.4
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    • pp.558-563
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    • 2001
  • A new alkalophilic strain of Bacillus pumilus JB¬05 producing bleach-stable and halo-tolerant alkaline protease was isolated from cement industry effluents in Karnataka, India. The effects of carbon and nitrogen sources on protease production by this alkalophilic strain were observed after a 30-h incubation. A high level of alkaline protease activity was obtained in the presence of starch as the carbon and peptone as the nitrogen sources. The partially purified enzyme showed an optimum temperature and pH activity at $58^{\circ}C$ and 10.5, respectively. The enzyme was completely inhibited by PMSF (95.0%) indicating it as a serine protease. It is bleach-stable as it retained 35% original activity in the presence of 10% (v/v) hydrogen peroxide at $30^{\circ}$C after 2 h and is halo-tolerant as it retained 70% original activity in the presence of 2.5 M sodium chloride at $30^{\circ}C$ after 2 h incubation.

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Analysis of Mean Transition Time and Its Uncertainty between the Stable Modes of Water Balance Model

  • Lee, Jae-Soo
    • Korean Journal of Hydrosciences
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    • v.6
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    • pp.39-49
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    • 1995
  • The surface hydrology of large land areas is susceptible to several preferred stable states with transitions between stable states induced by stochastic fluctuation. This comes about due to the close couping of land surface and atmospheric interaction. An interesting and important issue is the duration of residence in each mode. Mean transition times between the stable modes are analyzed for different model parameters or climatic types. In an example situation of this differential equation exhibits a bimodal probability distribution of soil moisture states. Uncertainty analysis regarding the model parameters is performed using a Monte-Carlo simulation method. The method developed in this research may reveal some important characteristics of soil moisture or precipitation over a large area, in particular, those relating to abrupt change in soil moisture or preciptation having extremely variable duration.

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Asymptotically stable tracking control of mobile robots (이동로보트의 점근적으로 안정한 추종제어)

  • 김도현;오준호
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.187-190
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    • 1997
  • In the past few years, many researchers are interesting of control of mobile robot with nonholonomic constraints. And tracking problems is important as well as regulation in nonholonomic system control. Some researchers have investigated the stable tracking control law for mobile robot. But, few results showed the globally asymptotically stable control method simply. So, we address the design of globally asymptotically stable tracking control law for mobile robot with nonholonomic velocity constraints using simple method. The stabilizability of the controller is derived by Lyapunov direct method. And we analyze the system responses according to the variation of control parameters in line tracking problem. It is derived that the responses represent no overshoot property in line tracking. Examples are two-wheeled mobile robot and car-like mobile robot and the simulation results represent the effectiveness of our method.

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A Case Report on Burning Acupuncture Treatments for Stable Compression Fracture (화침을 이용한 흉요추부 압박골절 치험 1례)

  • Lee, Jong-Soo;Han, Soon-Hyun
    • The Journal of Korea CHUNA Manual Medicine
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    • v.3 no.1
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    • pp.167-174
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    • 2002
  • Stable compression fractures are most often caused by trauma as traffic accidents. Stable compression fractures can refer pain to the mid-back, which is characterized by the pain in the thoracolumbar spinous prosess. recently we experienced a 19 years old man who had lumbago originating from Stable compression fractures and condition was improved through burning acupunture.

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