• Title/Summary/Keyword: T/S

Search Result 37,660, Processing Time 0.054 seconds

STABILITY IN NONLINEAR NEUTRAL LEVIN-NOHEL INTEGRO-DIFFERENTIAL EQUATIONS

  • Khelil, Kamel Ali;Ardjouni, Abdelouaheb;Djoudi, Ahcene
    • Korean Journal of Mathematics
    • /
    • v.25 no.3
    • /
    • pp.303-321
    • /
    • 2017
  • In this paper we use the Krasnoselskii-Burton's fixed point theorem to obtain asymptotic stability and stability results about the zero solution for the following nonlinear neutral Levin-Nohel integro-differential equation $$x^{\prime}(t)+{\displaystyle\smashmargin{2}{\int\nolimits_{t-{\tau}(t)}}^t}a(t,s)g(x(s))ds+c(t)x^{\prime}(t-{\tau}(t))=0$$. The results obtained here extend the work of Mesmouli, Ardjouni and Djoudi [20].

Extreme values of a gaussian process

  • Choi, Y.K.;Hwang, K.S.;Kang, S.B.
    • Journal of the Korean Mathematical Society
    • /
    • v.32 no.4
    • /
    • pp.739-751
    • /
    • 1995
  • Let ${X(t) : 0 \leq t < \infty}$ be an almost surely continuous Gaussian process with X(0) = 0, E{X(t)} = 0 and stationary increments $E{X(t) - X(s)}^2 = \sigma^2($\mid$t - s$\mid$)$, where $\sigma(y)$ is a function of $y \geq 0(e.g., if {X(t);0 \leq t < \infty}$ is a standard Wiener process, then $\sigma(t) = \sqrt{t})$. Assume that $\sigma(t), t > 0$, is a nondecreasing continuous, regularly varying function at infinity with exponent $\gamma$ for some $0 < \gamma < 1$.

  • PDF

GENERALIZED WEYL'S THEOREM FOR ALGEBRAICALLY $k$-QUASI-PARANORMAL OPERATORS

  • Senthilkumar, D.;Naik, P. Maheswari;Sivakumar, N.
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.25 no.4
    • /
    • pp.655-668
    • /
    • 2012
  • An operator $T\;{\varepsilon}\;B(\mathcal{H})$ is said to be $k$-quasi-paranormal operator if $||T^{k+1}x||^2\;{\leq}\;||T^{k+2}x||\;||T^kx||$ for every $x\;{\epsilon}\;\mathcal{H}$, $k$ is a natural number. This class of operators contains the class of paranormal operators and the class of quasi - class A operators. In this paper, using the operator matrix representation of $k$-quasi-paranormal operators which is related to the paranormal operators, we show that every algebraically $k$-quasi-paranormal operator has Bishop's property ($\beta$), which is an extension of the result proved for paranormal operators in [32]. Also we prove that (i) generalized Weyl's theorem holds for $f(T)$ for every $f\;{\epsilon}\;H({\sigma}(T))$; (ii) generalized a - Browder's theorem holds for $f(S)$ for every $S\;{\prec}\;T$ and $f\;{\epsilon}\;H({\sigma}(S))$; (iii) the spectral mapping theorem holds for the B - Weyl spectrum of T.

Patient's Characteristics Influencing Patient's Comprehensibleness of Doctor's Explanation (의사의 진료설명 이해 용이성에 영향을 미치는 환자의 특성)

  • Kim, Mi-Young;Kim, Yu-Jeong;Lee, Eun-Mi
    • Quality Improvement in Health Care
    • /
    • v.23 no.2
    • /
    • pp.57-66
    • /
    • 2017
  • Purpose:The purpose of this study was to identify the patient's characteristics influencing patient's comprehensibleness of doctor's explanation. Methods: This study was conducted as a secondary data analysis using the raw data of The 6th Korea National Health and Nutrition Examination Survey (KNHANES VI) conducted in 2015. The survey sampled 22,948 adults, and 4,469 of them were included in this analysis. Multiple regression analysis was performed to determine the patient's characteristics influencing patient's comprehensibleness of doctor's explanation. Results: The patient's comprehensibleness of doctor's explanation were more higher as age (t=5.65, p<.001), female (t=4.40, p<.001), subjective good health status (t=3.48, p=.001) were higher. On the other hand, the patient's comprehensibleness of doctor's explanation were more higher education level (t=-6.80, p<.001), not-recent outpatient experience (t=-6.04, p<.001), pain/discomfort (t=-2.64, p=.008), anxiety/depression (t=-2.58, p=.010) were lower. Conclusion:It is necessary to be provided the patients who are higher education level, pain/discomfort and anxiety/depression with applying the doctor's detailed explanation and intervention programs.

CONDITIONAL FOURIER-FEYNMAN TRANSFORM AND CONVOLUTION PRODUCT OVER WIENER PATHS IN ABSTRACT WIENER SPACE: AN Lp THEORY

  • Cho, Dong-Hyun
    • Journal of the Korean Mathematical Society
    • /
    • v.41 no.2
    • /
    • pp.265-294
    • /
    • 2004
  • In this paper, using a simple formula, we evaluate the conditional Fourier-Feynman transforms and the conditional convolution products of cylinder type functions, and show that the conditional Fourier-Feynman transform of the conditional convolution product is expressed as a product of the conditional Fourier-Feynman transforms. Also, we evaluate the conditional Fourier-Feynman transforms of the functions of the forms exp {$\int_{O}^{T}$ $\theta$(s,$\chi$(s))ds}, exp{$\int_{O}^{T}$ $\theta$(s,$\chi$(s))ds}$\Phi$($\chi$(T)), exp{$\int_{O}^{T}$ $\theta$(s,$\chi$(s))d${\zeta}$(s)}, exp{$\int_{O}^{T}$ $\theta$(s,$\chi$(s))d${\zeta}$(s)}$\Phi$($\chi$(T)) which are of interest in Feynman integration theories and quantum mechanics.

Weighted Integral H Control of Induction Motor using T-S fuzzy (T-S 퍼지를 사용한 유도전동기의 가중적분 H 제어)

  • Kim, Min-Chan;Park, Seung-Kyu;Yoon, Tae-Sung;Kwak, Gun-Pyong;Ahn, Ho-Gyun
    • Journal of the Korea Institute of Information and Communication Engineering
    • /
    • v.17 no.6
    • /
    • pp.1399-1408
    • /
    • 2013
  • This paper proposes a new $H_{\infty}$ T-S fuzzy controller with a novel integral control for induction motors which have nonlinear dynamics. The $H_{\infty}$ T-S fuzzy controller is used for the nonlinearity and robustness and weighted integral is used for tracking problem and control performance. A T-S Fuzzy controller is the fuzzy combination of local linear controllers considering the overall stability, and LMI(Linear Matrix Inequlity) is used for determining the gains of linear controllers. The tracking problem of an induction motor is changed into regulator problem by introducing the integral control technique with weighting factor, diminishing the conservatism of $H_{\infty}$ T-S fuzzy controller.

A Study on the Size Distribution and Chemical Composition of total Suspended Particulates at Industrial Region (공단지역에서 대기중 총 부유분진의 입자크기 분포와 화학적 성분에 관한 분석과 연구)

  • Park, Heung-Jae;Lee, Seong-Uk;Park, Won-U
    • Journal of Environmental Science International
    • /
    • v.2 no.3
    • /
    • pp.201-206
    • /
    • 1993
  • The concentration of Total Suspended Particulates(T.S.P), size distribution of suspended particulates, and soluble anions of T.S.P in atmosphere of industrial region in Busan were investigated. T.S.P was measured by High-Volume Air Sampler and particle size distribution was measured by Anderson Air Sampler. We analyzed the chemical component of the T.S.P by ion Chromatography and measure4 the shape and size of T.S.P by Scanning Electron Micrography The small size of T.S.P mainly exist in industrial region, but the large size of T.S.P mainly exist in residentail area.

  • PDF

QUADRATIC FUNCTIONAL EQUATIONS ASSOCIATED WITH BOREL FUNCTIONS AND MODULE ACTIONS

  • Park, Won-Gil;Bae, Jae-Hyeong
    • Bulletin of the Korean Mathematical Society
    • /
    • v.46 no.3
    • /
    • pp.499-510
    • /
    • 2009
  • For a Borel function ${\psi}:\mathbb{R}{\times}\mathbb{R}{\rightarrow}\mathbb{R}$ satisfying the functional equation $\psi$ (s + t, u + v) + $\psi$(s - t, u - v) = $2\psi$(s, u) + $2\psi$(t, v), we show that it satisfies the functional equation $$\psi$$(s, t) = s(s - t)$$\psi$$(1, 0) + $$st\psi$$(1, 1) + t(t - s)$$\psi$$(0, 1). Using this, we prove the stability of the functional equation f(ax + ay, bz + bw) + f(ax - ay, bz - bw) = 2abf(x, z) + 2abf(y,w) in Banach modules over a unital $C^*$-algebra.

A Study on S&T Classification for Effective Planning and Management of National R&D Programs (국가 연구개발 사업의 효율적 기획.관리를 위한 과학기술 표준분류 체계에 관한 연구)

  • 정근하;최문정;고대승
    • Journal of Korea Technology Innovation Society
    • /
    • v.6 no.2
    • /
    • pp.265-277
    • /
    • 2003
  • The various technologies of the science and technology field were systematized to manage information, personnel and R&D activities related to S&T effectively. The resulting “National Standard Science and Technology Classification” which were composed of 19 areas, 160 divisions and 1,023 categories could contribute to establish rational S&T policy. “National Standard Science and Technology Classification” is synthetic in national level because they include all areas of S&T activities. 5 criteria, which were inclusiveness, exclusiveness, likeness, scale and universality, were used to exert every effort in including the opinion of all experts and to consider harmony between S&T areas. In addition, “National Standard Science and Technology Classification” was prepared to be interchangeable with various classification which were used in other R&D management institutes under the different ministries.

  • PDF

16S/23S Intergenic Spacer Region as a Genetic Marker for Thiobacillus thiooxidans and T.ferrooxidans

  • Lee, Hye-Won;Choi, Won-Young;Cho, Kyung-Suk;Choi, Won-Ja
    • Journal of Microbiology and Biotechnology
    • /
    • v.11 no.6
    • /
    • pp.1046-1054
    • /
    • 2001
  • Bioleaching is the process in which insoluble metal sulfide is oxidized by specialized iron- and/or sulfur-oxidizing lithotrophic bacteria in acidic, metal-rich environments. Most of these processes are carried out by the genus Thiobacillus. Three novel Thiobacillus strains (Thiobacillus thiooxidans AZ11, Thiobacillus thiooxidans MET, and thiobacillus thiooxidans TAS) associated with bioleaching have been isolated from soil and sludge (Korean patent No. 1999-0073060 for T. thiooxidans AZ11, Korean patent No. 1999-0005798 for T. thiooxidans MET, and Korean patent No. 1999-0073059 for T. thiooxidans TAS). A partial sequence of 16S ribosomal RNA gene (16S rDNA) and the entire sequence of 16S/23S intergenic spacer region (ISR) were determined in the three above novel strains and in Thiobacillus ferrooxidans ATCC19859 as a reference strain. When phylogenetic analysis was performed based on G+C contents and sequence alignments, T. ferroxidans ATCC19859 was found to be closely related to previously registered T. ferrooxidans strains in a monophyletic manner, while the three novel T. thiooxidans strains were classified in a paraphyletic manner. Close examination on the base composition of 16S/23S ISR revealed that the 5\` part (nucleotide residues 21-200) was specific for the genus Thiobacillus. On the other end, the 3\` part (nucleotide residues 201-520) showed specificity in T. ferrooxidans strains, but not in T. thiooxidans strains. These results suggest that the proximal and distal halves of 16S/23S could be used as a genetic marker for the identification of the genus Thiobacillus and the species T. ferrooxidans, respectively.

  • PDF