• 제목/요약/키워드: $A_H/A_T$

검색결과 11,854건 처리시간 0.041초

VIABILITY FOR SEMILINEAR DIFFERENTIAL EQUATIONS OF RETARDED TYPE

  • Dong, Qixiang;Li, Gang
    • 대한수학회보
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    • 제44권4호
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    • pp.731-742
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    • 2007
  • Let X be a Banach space, $A:D(A){\subset}X{\rightarrow}X$ the generator of a compact $C_0-semigroup\;S(t):X{\rightarrow}X,\;t{\geq}0$, D a locally closed subset in X, and $f:(a,b){\times}C([-q,0];X){\rightarrow}X$ a function of Caratheodory type. The main result of this paper is that a necessary and sufficient condition in order that D be a viable domain of the semi linear differential equation of retarded type $$u#(t)=Au(t)+f(t,u_t),\;t{\in}[t_0,\;t_0+T],{u_t}_0={\phi}{\in}C([-q,0];X)$$ is the tangency condition $$\limits_{h{\downarrow}0}^{lim\;inf\;h^{-1}d(S(h)v(0)+hf(t,v);D)=0}$$ for almost every $t{\in}(a,b)$ and every $v{\in}C([-q,0];X)\;with\;v(0){\in}D$.

UNIQUE POSITIVE SOLUTION FOR A CLASS OF THE SYSTEM OF THE NONLINEAR SUSPENSION BRIDGE EQUATIONS

  • Jung, Tacksun;Choi, Q-Heung
    • Korean Journal of Mathematics
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    • 제16권3호
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    • pp.355-362
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    • 2008
  • We prove the existence of a unique positive solution for a class of systems of the following nonlinear suspension bridge equation with Dirichlet boundary conditions and periodic conditions $$\{{u_{tt}+u_{xxxx}+\frac{1}{4}u_{ttxx}+av^+={\phi}_{00}+{\epsilon}_1h_1(x,t)\;\;in\;(-\frac{\pi}{2},\frac{\pi}{2}){\times}R,\\{v_{tt}+v_{xxxx}+\frac{1}{4}u_{ttxx}+bu^+={\phi}_{00}+{\epsilon}_2h_2(x,t)\;\;in\;(-\frac{\pi}{2},\frac{\pi}{2}){\times}R,$$ where $u^+={\max}\{u,0\},\;{\epsilon}_1,\;{\epsilon}_2$ are small number and $h_1(x,t)$, $h_2(x,t)$ are bounded, ${\pi}$-periodic in t and even in x and t and ${\parallel} h_1{\parallel}={\parallel} h_2{\parallel}=1$. We first show that the system has a positive solution, and then prove the uniqueness by the contraction mapping principle on a Banach space

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MAX-MIN CONTROLLABILITY OF DELAY-DIFFERENTIAL GAMES IN HILBERT SPACES

  • Kang, Yong-Han;Jeong, Jin-Mun;Park, Jong-Yeoul
    • 대한수학회지
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    • 제38권1호
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    • pp.177-191
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    • 2001
  • We consider a linear differential game described by the delay-differential equation in a Hilbert space H; (※Equations, See Full-text) U and V are Hilbert spaces, and B(t) and C(t) are families of bounded operators on U and V to H, respectively. A(sub)0 generates an analytic semigroup T(t) = e(sup)tA(sub)0 in H. The control variables g, and u and v are supposed to be restricted in the norm bounded sets (※Equations, See Full-text). For given x(sup)0 ∈ H and a given time t > 0, we study $\xi$-approximate controllability to determine x($.$) for a given g and v($.$) such that the corresponding solution x(t) satisfies ∥x(t) - x(sup)0∥ $\leq$ $\xi$($\xi$ > 0 : a given error).

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Pork Quality Traits According to Postmortem pH and Temperature in Berkshire

  • Kim, Tae Wan;Kim, Chul Wook;Yang, Mi Ra;No, Gun Ryoung;Kim, Sam Woong;Kim, Il-Suk
    • 한국축산식품학회지
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    • 제36권1호
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    • pp.29-36
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    • 2016
  • This study was performed to investigate the role of pH and temperature postmortem, and to demonstrate the importance of these factors in determining meat quality. Postmortem pH45min (pH at 45 min postmortem or initial pH) via analysis of Pearson’s correlation showed high positive correlation with pH change pHc24 (pH change from pH45min to pH24h postmortem). However, postmortem pH after 24 h (pH24h or ultimate pH) had a high negative correlation with pH change, pHc24, CIE L*, and protein content. Initial temperature postmortem (T1h ) was positively associated with a change in temperature from 45 min to 24 h postmortem (Tc24) and cooking loss, but negatively correlated with water holding capacity. Temperature at 24 h postmortem (T24h) was negatively associated with Tc24. Collectively, these results indicate that higher initial pH was associated with higher pHc24, T1h, and Tc24. However, higher initial pH was associated with a reduction in carcass weight, backfat thickness, CIE a* and b*, water holding capacity, collagen and fat content, drip loss, and cooking loss as well as decreased shear force. In contrast, CIE a* and b*, drip loss, cooking loss, and shear force in higher ultimate pH was showed by a similar pattern to higher initial pH, whereas pHc24, carcass weight, backfat thickness, water holding capacity, fat content, moisture content, protein content, T1h, T24h, and Tc24 were exhibited by completely differential patterns (p<0.05). Therefore, we suggest that initial pH, ultimate pH, and temperatures postmortem are important factors in determining the meat quality of pork.

ALGEBRAIC STRUCTURES IN A PRINCIPAL FIBRE BUNDLE

  • Park, Joon-Sik
    • 충청수학회지
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    • 제21권3호
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    • pp.371-376
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    • 2008
  • Let $P(M,G,{\pi})=:P$ be a principal fibre bundle with structure Lie group G over a base manifold M. In this paper we get the following facts: 1. The tangent bundle TG of the structure Lie group G in $P(M,G,{\pi})=:P$ is a Lie group. 2. The Lie algebra ${\mathcal{g}}=T_eG$ is a normal subgroup of the Lie group TG. 3. $TP(TM,TG,{\pi}_*)=:TP$ is a principal fibre bundle with structure Lie group TG and projection ${\pi}_*$ over base manifold TM, where ${\pi}_*$ is the differential map of the projection ${\pi}$ of P onto M. 4. for a Lie group $H,\;TH=H{\circ}T_eH=T_eH{\circ}H=TH$ and $H{\cap}T_eH=\{e\}$, but H is not a normal subgroup of the group TH in general.

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제일원리계산에 의한 단층 MoS2의 1H/1T 경계 자성 (First-principles Calculations on Magnetism of 1H/1T Boundary in Monolayer MoS2)

  • 제갈소영;홍순철
    • 한국자기학회지
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    • 제26권3호
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    • pp.71-75
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    • 2016
  • 단층 $MoS_2$는 1H 상을 가질 때 에너지적으로 가장 안정하다고 알려져 있지만, 전자선 등을 이용하여 에너지를 가하면 1T 상으로 상전이를 일으킬 수 있다. 1T 상도 1H 상과 마찬가지로 상자성 상태가 에너지적으로 안정하지만 1H $MoS_2$에 국소적인 1T 상이 존재하는 구조는 자성을 가질 수 있음을 알았다. 본 연구에서 도입한 ($2{\times}2$) 초격자에 2H와 1T가 3 : 1의 비율로 존재하는 국소 1T 구조 일 때 계산된 자기모멘트는 약 $0.049{\mu}_B/MoS_2$이었으며, 초격자 내의 1T 환경의 Mo 원자가 대부분의 자기모멘트를 기여하는 것으로 나타났다. 따라서 단층 $MoS_2$ 내에 자연스러운 자성/비자성 경계가 생성되므로 단층 $MoS_2$가 스핀트로닉스 소자로 응용 가능할 것으로 기대한다.

충전복극전해조에 의한 총 인 제거 (Removal of Total Phosphate by Bipolar Packed Bed Electrolytic Cell)

  • 김은희;박승조
    • 공업화학
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    • 제19권4호
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    • pp.366-369
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    • 2008
  • 입자상 알루미늄 충전복극조의 성능을 파악할 목적으로 실험은 회분식과 연속식으로 진행하였다. 입자상 알루미늄 충전복극조를 이용하여 T-P 농도 10 mg/L인 인산염 함유 용액을 6 V에서 3 h 회분식으로 전해처리 한 결과 T-P의 제거율은 88% 이었다. 입자상 알루미늄 충전복극조를 이용하여 T-P 농도 10 mg/L인 인산염 함유 용액을 6 V에서 HRT를 3 h으로 하여 연속식으로 전해처리 한 결과 T-P의 농도는 2 mg/L이었다. HRT 3 h으로 고정하여 전해처리 할 경우 120 h 처리 후 파과점을 관찰할 수 있었다.

A 85-mW Multistandard Multiband CMOS Mobile TV Tuner for DVB-H/T, T-DMB, and ISDB-T Applications with FM Reception

  • Nam, Ilku;Bae, Jong-Dae;Moon, Hyunwon;Park, Byeong-Ha
    • JSTS:Journal of Semiconductor Technology and Science
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    • 제15권3호
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    • pp.381-389
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    • 2015
  • A fully integrated multistandard multiband CMOS mobile TV tuner with small silicon area and low power consumption is proposed for receiving multiple mobile digital TV signals and FM signal. In order to reduce the silicon area of the multistandard multiband receiver, other RF front-end circuits except LNAs are shared and a local oscillator (LO) signal generation architecture with a single VCO for a frequency synthesizer is proposed. To reduce the low frequency noise and the power consumption, a vertical NPN BJT is used in an analog baseband circuits. The RF tuner IC is implemented in a $0.18-{\mu}m$ CMOS technology. The RF tuner IC satisfies all specifications for DVB-H/T, T-DMB, and ISDB-T with a sufficient margin and a successful demonstration has been carried out for DVB-H/T, T-DMB, and ISDB-T with a digital demodulator.

가산일대(架山一帶)의 삼림식생(森林植生) : 삼림환경형(森林環境型) 분류(分類) (Forest Vegetation of Mt. Kasan : A Habitat Type Classification)

  • 배관호;조현제;홍성천
    • 한국산림과학회지
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    • 제79권2호
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    • pp.162-172
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    • 1990
  • 가산일대(架山一帶)에 대해 삼림환경형분류(森林環境型分類)(Habitat Type 분류(分類))를 적용(適用)한 결과(結果) 다음과 같이 요약(要約)할 수 있었다. 1. 소나무/철쭉 삼림환경형(森林環境型)(PIDE/RHSC H.T.) : 산릉선부(山陵線部)와 사면상부(斜面上部)에 분포(分布)하는 지형적(地形的) 극성상(極盛相)이다. 하층(下層)에 철쭉꽃이 잘 나타난다. 2. 서어나무/실새풀 삼림환경형(森林環境型)(CALA/CAAR H.T.) : 계곡(溪谷)을 낀 사면하부(斜面下部)에 분포(分布)하며 사면상부(斜面上部)와 능선부(陵線部)의 소나무림과 접하고 있다. 하층(下層)에 실새풀이 잘 나타난다. 3. 신갈나무/산거울 삼림환경형(森林環境型)(QUMO/CAHU H.T.) : 산성외부(山城外部)의 사면(斜面)에 분포(分布)하며 해발(海拔) 600-790m에 이른다. 하층(下層)에 산거울이 잘 나타난다. 4. 신갈나무/실새풀 삼림환경형(森林環境型)(QUMO/CAAR H.T.) : 산성내부(山城內部)의 평정봉(平頂峰)에 분포(分布)하며 해발(海拔) 700-870m에 이른다. 하층(下層)에 실새풀이 많다. 5. 물푸레나무/물봉선 산림환경형(森林環境型)(FRRH/IMTE H.T.) : 계곡부(溪谷部)에 분포(分布)하며 하층(下層)에 물 물봉선이 잘 나타난다. 6. 층층나무/백당나무 삼림환경형(森林環境型)(COCO/VISA H.T.) : 계곡부(溪谷部)와 계곡(溪谷) 근원지(根源地)에 분포(分布)하며 해발(海拔) 780-830m에 이른다. 하층(下層)에 백당나무가 잘 나타난다.

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Dynamic Compressed Representation of Texts with Rank/Select

  • Lee, Sun-Ho;Park, Kun-Soo
    • Journal of Computing Science and Engineering
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    • 제3권1호
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    • pp.15-26
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    • 2009
  • Given an n-length text T over a $\sigma$-size alphabet, we present a compressed representation of T which supports retrieving queries of rank/select/access and updating queries of insert/delete. For a measure of compression, we use the empirical entropy H(T), which defines a lower bound nH(T) bits for any algorithm to compress T of n log $\sigma$ bits. Our representation takes this entropy bound of T, i.e., nH(T) $\leq$ n log $\sigma$ bits, and an additional bits less than the text size, i.e., o(n log $\sigma$) + O(n) bits. In compressed space of nH(T) + o(n log $\sigma$) + O(n) bits, our representation supports O(log n) time queries for a log n-size alphabet and its extension provides O(($1+\frac{{\log}\;{\sigma}}{{\log}\;{\log}\;n}$) log n) time queries for a $\sigma$-size alphabet.