• Journal of applied mathematics & informatics
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• 제3권2호
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• pp.279-290
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• 1996

In the present paper we study the Cauchy problem in a Banach space E for an abstract nonlinear differential equation of form $$\frac{d^2u}{dt^2}=-A{\frac{du}{dt}}+B(t)u+f(t, W)$$ where W=($A_1$(t)u, A_2(t)u)..., A_{\nu}(t)u), A_{i}(t),\;i=1,2,...{\nu}$,(B(t), t{\in}I$=[0, b]) are families of closed operators defined on dense sets in E into E, f is a given abstract nonlinear function on $I{\times}E^{\nu}$ into E and -A is a closed linar operator defined on dense set in e into E which generates a semi-group. Further the existence and uniqueness of the solution of the considered Cauchy problem is studied for a wide class of the families ($A_{i}$(t), i =1.2...${\nu}$), (B(t), $t{\in}I$) An application and some properties are also given for the theory of partial diferential equations.

• 한국자기학회지
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• 제3권1호
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• pp.13-17
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• 1993

수소$(^{1}H)$와 불소$(^{19}F)$ 원자핵에 대한 펄스 핵자기공명 기법을 써서 $CuF_{2}.2H_{2}O$ 분말 시료를 연구하였다. 선모양과 스핀-격자 완화의 측정으로 공명 원자핵들은 격자내 상자성 이온들의 영향을 강하게 받음을 알 수 있었다. 또 이로부터 상자성 이온의 상관시간(correlation time)을 계산할 수 있었으며 관측된 공명선 폭과 스핀 메아리 붕괴상수로부터 스핀-스핀 상호작용의 크기와 공명원자핵들은 운동상태를 유추할 수 있었다.

• 인터넷정보학회논문지
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• 제6권3호
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• pp.1-16
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• 2005

본 논문은 모바일 전자 상거래 환경에서 투자 신탁을 위한 MDIT(Mobile Digital Investment Trust) 에이전트 설계를 제안하고 또한 이 MDIT에서 모바일 전자 상거래 환경이 가지고 있는 기억 장치 용량, CPU 처리 속도 문제, 그리고 보안 강화 문제점을 해결하기 위해, 비밀키 암호 알고리즘인 3BC(Bit, Byte end Block Cypher)와 공개키 알고리즘인 F2mECC 설계를 제안한다. 특히, MDIT는 모바일 전자상거래에 투자 신탁의 개념을 도입한 은행 업무 보안 프로토콜로서 공개키 알고리즘인 ECC를 이용해 공유 비밀키를 생성한 후, 이 값을 공유 비밀키를 대칭키로 사용하는 블록 암호화 기법인 3BC에 사용하여, 보안 기능을 강화시키고, 처리속도를 감소시킨 MDIT 보안 에이전트를 구축하였다.

• 대한수학회지
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• 제45권5호
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• pp.1393-1404
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• 2008

Let K be a nonempty closed convex subset of a Banach space E. Suppose $\{T_{n}\}$ (n = 1,2,...) is a uniformly asymptotically regular sequence of nonexpansive mappings from K to K such that ${\cap}_{n=1}^{\infty}$ F$\(T_n){\neq}{\phi}$. For $x_0{\in}K$, define $x_{n+1}={\lambda}_{n+1}x_{n}+(1-{\lambda}_{n+1})T_{n+1}x_{n},n{\geq}0$. If ${\lambda}_n{\subset}[0,1]$ satisfies $lim_{n{\rightarrow}{\infty}}{\lambda}_n=0$, we proved that $\{x_n\}$ weakly converges to some $z{\in}F\;as\;n{\rightarrow}{\infty}$ in the framework of reflexive Banach space E which satisfies the Opial's condition or has $Fr{\acute{e}}chet$ differentiable norm or its dual $E^*$ has the Kadec-Klee property. We also obtain that $\{x_n\}$ strongly converges to some $z{\in}F$ in Banach space E if K is a compact subset of E or there exists one map $T{\in}\{T_{n};n=1,2,...\}$ satisfy some compact conditions such as T is semi compact or satisfy Condition A or $lim_{n{\rightarrow}{\infty}}d(x_{n},F(T))=0$ and so on.

• 생명과학회지
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• 제15권6호
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• pp.972-978
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• 2005

제주말의 혈통보존을 위한 기초자료를 마련할 목적으로 국내에서 사육중인 제주말 102두를 대상으로 적혈구항원형 및 혈액단백질형의 유전적 다형성을 조사한 결과는 다음과 같다. 적혈구항원형의 표현형 빈도는 $A^{af}$28두($27.45\%),\;C^{a}$ 101두 ($99.02\%),\;K^{-}$ 99두 ($97.06\%),\;U^{a}$ 64두 ($62.75\%),\;P^{b}$ 37두 ($36.27\%),\;Q^{c}$ 48두 ($47.06\%$)에서 높은 빈도를 나타냈으며, D시스템의 31개의 대립유전자 중 $D^{cgm/dghm}$ 14두($13.73\%),\;D^{adn/cgm}$ 10두($9.80\%),\;D^{ad/cgm}$ 9두($8.82\%),\;D^{dghm/dghm}$ 8두($7.84\%),\;D^{cgm/cgm}$ 8두($7.84\%$)에서 높은 빈도의 유전자형이 관찰되었다. 또한 null allele로 추정되는 $D^{ad/c(e)fgm}\;D^{adn/c(e)fgm}\;D^{c(d)fgm/dghm}$대립유전자가 4두에서 관찰되었다. 혈액단백질형은 $AL^{B}$ 49두($48.04\%),\;GC^{F}$ 101두($99.02\%),\;AlB^{K}$ 99두($97.06\%),\;ES^{FI}$ 37두($36.27\%),\;TF^{F2}$ 26두($25.49\%),\;HB^{B1}$ 46두($45.10\%$), and $PGD^{F}$ 88두($86.27\%$)로 높은 빈도를 보였으며, $HB^{A2B1}$ 4두($3.92\%),\;HB^{AB1}$ 2두($1.96\%),\;HB^{AB2}$ 1두($0.98\%),\;PGD^{D}$ 1두($0.98\%$가 특이하게 관찰되었다. 유전자 빈도는 $A^{af}$ (0.3726), $A^{C}$ (0.2647), $C^{-}$ (0.5050), $K^{-}$ (0.9853), $U^{-}$ (0.6863), $P^{b}$ (0.4657), $Q^{c}$ (0.5294), $D^{cgm}$ (0.3039), $HB^{B1}$(0.6863), $PGD^{F}$ (0.9265), $AL^{B}$ (0.6912), $ALB^{K}$ (0.9852), $GC^{F}$ (0.9950), $ES^{I}$ (0.5000) and $TF^{F2}$ (0.4950) 대립유전자가 가장 높은 빈도를 나타내었고 $D^{cgm(f)}$ (0.0196), $HB^{A}$ (0.0147), $HB^{A2}$ (0.0196), $ES^{G}$ (0.0441), $ES^{H}$ (0.0098), $TF^{E}$TF'(0.0246), $TF^{H2}$ (0.0049) and $PGD^{D}$ (0.0098)의 대립유전자가 제주말 에서 특이하게 관찰되었다. 결론적으로 혈액형에 의한 제주말의 유전적 다형은 $A^{af},\;A^{c},\;C^{-},\;K^{-},\;U^{-},\;P^{b},\;Q^{c},\;D^{cgm},\;D^{dghm},\;D^{adn},\;HB^{B1}$, $PGD^{F},\;AL^{B},\;A1B^{K},\;GC^{F},\;ES^{I},\;TF^{F2},\;AL^{B}$, 대립유전자의 빈도가 비교적 높은 것으로 관찰되었고 $A^{ab},\;A^{abf},\;D^{cgm(f)},\;(D^{cfg(k)m}$ 혹은$D^{c(e)fgm}),\;HB^{A},\;HB^{A2},\;ES^{H},\;TF^{E},\;TF^{H2},\;PGD^{D},\;AL^{B}$의 대립유전자가 제주말에서 특이하게 관찰되었다.

• Journal of applied mathematics & informatics
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• 제34권1_2호
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• pp.167-178
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• 2016

In this paper, we study the stochastic integral of processes taking values of generalized operators based on a triple E ⊂ H ⊂ E^∗, where H is a Hilbert space, E is a countable Hilbert space and E^∗ is the strong dual space of E. For our purpose, we study E-valued Wiener processes and then introduce the stochastic integral of L(E, F^∗)-valued process with respect to an E-valued Wiener process, where F^∗ is the strong dual space of another countable Hilbert space F.

• 한국식품위생안전성학회지
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• 제35권3호
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• pp.271-278
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• 2020

Enterotoxigenic Escherichia coli는 신생 및 이유기 돼지설사의 주요 원인체로서 전세계적으로 양돈산업에 큰 경제적 손실을 끼치고 있다. 그러나 현재 국내에는 이러한 E. coli가 보유하는 다양한 병원성유전자의 분포 및 특성에 대한 정보가 부족한 실정이다. 이에 본 연구에서는 2013년부터 2016년까지 국내 163개 양돈농장에서 이유기 설사증 개체로부터 면봉스왑 샘플을 채취하여 동일 농장의 개체일 경우 5개에서 10개 정도를 혼합한 후, MacConkey agar에 배양하여 최종 API 32E system을 통하여 동정하였다. 분리된 모든 균주에 대해서 3 가지의 다른 multiplex PCR을 수행하여 총 13 종의 병원성유전자의 분포를 확인하였다. 이를 통하여 총 172개의 최소 한가지 이상의 병원성 유전자를 가지는 E. coli 균주를 확인하였고, 그 결과 병원성 유전자의 분포는 (1) fimbrial adhesins (43.0%): F4 (16.9%), F5 (4.1%), F6 (1.7%), F18 (21.5%), and F41 (3.5%); (2) toxins (90.1%): LT (19.2%), STa (20.9%), STb (25.6%), Stx2e (15.1%), EAST1 (48.3%); and (3) non-fimbrial adhesin (19.6%): EAE (14.0%), AIDA-1 (11.6%) and PAA (8.7%)로 나타났다. 결론적으로 본 연구결과는 국내 양돈농장의 이유기 설사증에 관연하는 E. coli는 다양한 종류의 병원성 유전자를 가지고 있으며 그러한 병원성 유전자의 조합도 매우 다양하게 분포하고 있음을 나타낸다.

• Maxillofacial Plastic and Reconstructive Surgery
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• 제11권1호
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• pp.187-202
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• 1989

This study was undertaken to investigate the effect of indomethacin on prostaglandins in 4-Nitroquinoline-N-Oxide (4-NQO) induced palatal carcinoma of albino rats. 128 Sprague-Dawley strain albino rats-about 100g in body weight-were used in this study, divided into as belows; 1. Normal group (16-albino rats) with no treatment, 2. Control group (16-albino rats) treated with prophylene application onto palatal mucosa 3 times a week. 3. Experimental group I (48-albino rats) treated with 0.5% 4-NQO in prophylene application onto palatal mucosa 3 times a week. 4. Experimental group II (48-albino rats) treated with 0.5% 4-NQO in prophylene application with administered $20{\mu}g/ml$ of indomethacin in drinking water ad. lib. Four animals were sacrificed 7th, 13th, 19th, and 25th week respectively in normal and control group, and 7th, 9th, 11th, 13th, 15th, 17th, 19th, 21st, 23rd, 25th, 27th and 29th week respectively in experimental group I and II at each time. The palatal and lingual tissues were excised and kept frozen at $-70^{\circ}C$. Densitometer scan and Beta-counting counter were used for the thin layer chromatography of the arachidonic acid metabolites. The obtained results were as belows; 1. In normal and control group, there was little change of the arachidonic acid metabolites during experiment period, and the tissue homogenates included prostaglandin $D_2$, 6-keto-prostaglandin $F_{1{\alpha}}$, prostaglandin $E_2$, thromboxane $B_2$, prostaglandin $F_{2{\alpha}}$ in that order of relative abundances. 2. In experimental group I, prostaglandin $D_2$, and prostaglandin $E_2$ were increased, while 6-keto-prostaglandin $F_{1{\alpha}}$ and thromboxane $B_2$ were decreased in relative abundances of arachidonic acid metabolites. And there was little change in prostaglandin $F_{1{\alpha}}$ 3. In experimental group II, prostaglandin $D_2$, and prostaglandin $E_2$ were increased, while 6-keto-prostaglandin $F_{1{\alpha}}$ and thromboxane $B_2$ were decreased in relative abundances of arachidonic acid metabolites. And there was little change in prostaglandin $F_{2{\alpha}}$ also. 4. In the range of increase in prostaglandin $D_2$, and prostaglandin $E_2$, and that of decrease in 6-keto-prostaglandin $F_{1{\alpha}}$ and thromboxane $B_2$, in relative abundances, there was wider in experimental group I than in group II. 5. In the range of increase in prostaglandin $D_2$, and prostaglandin $E_2$, and that of decrease in 6-keto-prostaglandin $F_{1{\alpha}}$ and thromboxane $B_2$, in relative abundances, there was wider in palatal mucosa than in lingual mucosa in experimental group I and II.

• 대한수학회논문집
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• 제29권2호
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• pp.285-293
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• 2014

Let M be a closed, symplectic connected Riemannian manifold and f a symplectomorphism on M. We prove that if f is $C^1$-stably weak shadowable on M, then the whole manifold M admits a partially hyperbolic splitting.

• 대한수학회보
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• 제60권4호
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• pp.1085-1100
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• 2023

For any given function f, we focus on the so-called prescribed mean curvature problem for the measure e^-f(|x|2)dx provided thate^-f(|x|2) ∈ L¹(ℝⁿ⁺¹). More precisely, we prove that there exists a smooth hypersurface M whose metric is ds² = dρ² + ρ²d𝜉² and whose mean curvature function is ${\frac{1}{n}}(\frac{u^p}{{\rho}^{\beta}})e^{f({\rho}^2)}{\psi}(\xi)$ for any given real constants p, β and functions f and ψ where u and ρ are the support function and radial function of M, respectively. Equivalently, we get the existence of a smooth solution to the following quasilinear equation on the unit sphere 𝕊ⁿ, $${\sum_{i,j}}({{\delta}_{ij}-{\frac{{\rho}_i{\rho}_j}{{\rho}^2+|{\nabla}{\rho}|^2}})(-{\rho}ji+{\frac{2}{{\rho}}}{\rho}j{\rho}i+{\rho}{\delta}_{ji})={\psi}{\frac{{\rho}^{2p+2-n-{\beta}}e^{f({\rho}^2)}}{({\rho}^2+|{\nabla}{\rho}|^2)^{\frac{p}{2}}}}$$ under some conditions. Our proof is based on the powerful method of continuity. In particular, if we take $f(t)={\frac{t}{2}}$, this may be prescribed mean curvature problem in Gauss measure space and it can be seen as an embedded result in Gauss measure space which will be needed in our forthcoming papers on the differential geometric analysis in Gauss measure space, such as Gauss-Bonnet-Chern theorem and its application on positive mass theorem and the Steiner-Weyl type formula, the Plateau problem and so on.