• Title/Summary/Keyword: lim sup

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Comparison of Growth Characteristics of Strawberry according to Integrated Solar Radiation Control by Growth Stages (딸기 생육단계별 일사비례제어 급액 방법에 따른 딸기 생육 비교)

  • Kim, So Hui;Roh, Mi Young;Choi, Gyeong Lee;Lim, Mi Young
    • Journal of Bio-Environment Control
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    • v.31 no.4
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    • pp.279-285
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    • 2022
  • This study was carried out to establish proper irrigation standards by growth stages using integrated solar radiation (ISR) for strawberry hydroponics cultivation. The irrigation methods were automatically controlled when it reached ISR values based on the external solar irradiance. The ISR standards were set at 150 J·cm-2 and 200 J·cm-2, and as the last treatment, ISR value was changed from 200 J·cm-2 to 150 J·cm-2 according to growth stage. The timer-automated irrigation system was applied as a control. The monthly average irrigation frequency of 150 J·cm-2, growth stages (150 J·cm-2) treatment in March were 5.6 times, that of 200 J·cm-2, growth stages (200 J·cm-2) treatment in December were 2.7 times, and that of timer system was 3.6-3.8 times. The water use efficiency (WUE) of timer was 19.8 g·L-1 lower than ISR. There was no significant difference in growth and fruit characteristics between ISR and timer. The total yield and rate of marketable fruit of treatments by growth stages was the highest 328 g/10 a and 85.3 %, respectively. Therefore, in case of strawberry hydroponic cultivation, controlling ISR by growth stages was more helpful to improve yield rather than applying same ISR standard during cultivation.

ASYMPTOTIC BEHAVIOR OF POSITIVE SOLUTIONS TO SEMILINEAR ELLIPTIC EQUATIONS IN ℝn

  • Lai, Baishun;Luo, Qing;Zhou, Shuqing
    • Journal of the Korean Mathematical Society
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    • v.48 no.2
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    • pp.431-447
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    • 2011
  • We investigate the asymptotic behavior of positive solutions to the elliptic equation (0.1) ${\Delta}u+|x|^{l_1}u^p+|x|^{l_2}u^q=0$ in $\mathbb{R}^n$. We obtain a conclusion that, for n $\geq$ 3, -2 < $l_2$ < $l_1$ $\leq$ 0 and q > p > 1, any positive radial solution to (0.1) has the following properties: $lim_{r{\rightarrow}{\infty}}r^{\frac{2+l_1}{p-1}}\;u$ and $lim_{r{\rightarrow}0}r^{\frac{2+l_2}{q-1}}\;u$ always exist if $\frac{n+1_1}{n-2}$ < p < q, $p\;{\neq}\;\frac{n+2+2l_1}{n-2}$, $q\;{\neq}\;\frac{n+2+2l_2}{n-2}$. In addition, we prove that the singular positive solution of (0.1) is unique under some conditions.

ON SIMULTANEOUS LOCAL DIMENSION FUNCTIONS OF SUBSETS OF ℝd

  • OLSEN, LARS
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.5
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    • pp.1489-1493
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    • 2015
  • For a subset $E{\subseteq}\mathbb{R}^d$ and $x{\in}\mathbb{R}^d$, the local Hausdorff dimension function of E at x and the local packing dimension function of E at x are defined by $$dim_{H,loc}(x,E)=\lim_{r{\searrow}0}dim_H(E{\cap}B(x,r))$$, $$dim_{P,loc}(x,E)=\lim_{r{\searrow}0}dim_P(E{\cap}B(x,r))$$, where $dim_H$ and $dim_P$ denote the Hausdorff dimension and the packing dimension, respectively. In this note we give a short and simple proof showing that for any pair of continuous functions $f,g:\mathbb{R}^d{\rightarrow}[0,d]$ with $f{\leq}g$, it is possible to choose a set E that simultaneously has f as its local Hausdorff dimension function and g as its local packing dimension function.

BIFURCATION PROBLEM FOR A CLASS OF QUASILINEAR FRACTIONAL SCHRÖDINGER EQUATIONS

  • Abid, Imed
    • Journal of the Korean Mathematical Society
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    • v.57 no.6
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    • pp.1347-1372
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    • 2020
  • We study bifurcation for the following fractional Schrödinger equation $$\{\left.\begin{eqnarray}(-{\Delta})^su+V(x)u&=&{\lambda}f(u)&&{\text{in}}\;{\Omega}\\u&>&0&&{\text{in}}\;{\Omega}\\u&=&0&&{\hspace{32}}{\text{in}}\;{\mathbb{R}}^n{\backslash}{\Omega}\end{eqnarray}\right$$ where 0 < s < 1, n > 2s, Ω is a bounded smooth domain of ℝn, (-∆)s is the fractional Laplacian of order s, V is the potential energy satisfying suitable assumptions and λ is a positive real parameter. The nonlinear term f is a positive nondecreasing convex function, asymptotically linear that is $\lim_{t{\rightarrow}+{\infty}}\;{\frac{f(t)}{t}}=a{\in}(0,+{\infty})$. We discuss the existence, uniqueness and stability of a positive solution and we also prove the existence of critical value and the uniqueness of extremal solutions. We take into account the types of Bifurcation problem for a class of quasilinear fractional Schrödinger equations, we also establish the asymptotic behavior of the solution around the bifurcation point.

113Cd and 133Cs NMR Study of Nucleus-Phonon Interactions in Linear-Chain Perovskite-Type CsCdBr3

  • Park, Sung Soo;Lim, Ae Ran
    • Journal of the Korean Magnetic Resonance Society
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    • v.20 no.4
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    • pp.109-113
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    • 2016
  • Resonance frequencies from the $^{113}Cd$ and $^{133}Cs$ nuclear magnetic resonance (NMR) spectra for the $CsCdBr_3$ single crystal were measured at varying temperatures by the static NMR method. The temperature-dependent changes of these frequencies are related to the changing structural geometry of the ${CdBr_6}^{4-}$ units, which affects the environment of $^{133}Cs$. The spin-lattice relaxation rates ($1/T_1$) for the $^{113}Cd$ and $^{133}Cs$ nuclei were measured in order to obtain detailed information about the dynamics of $CsCdBr_3$ crystals. The dominant relaxation mechanisms for $^{113}Cd$ and $^{133}Cs$ nuclei are direct single-phonon and Raman spin-phonon processes, respectively.

Structured Data Question Answering using S3-NET (S3-NET을 이용한 정형 데이터 질의 응답)

  • Park, Cheoneum;Lee, Changki;Park, Soyoon;Lim, Seungyoung;Kim, Myungji;Lee, Jooyoul
    • Annual Conference on Human and Language Technology
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    • 2018.10a
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    • pp.273-277
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    • 2018
  • 기계가 주어진 텍스트를 이해하고 추론하는 능력을 기계독해 능력이라 한다. 기계독해는 질의응답 태스크에 적용될 수 있는데 이것을 기계독해 질의응답이라 한다. 기계독해 질의응답은 주어진 질문과 문서를 이해하고 이를 기반으로 질문에 적합한 답을 출력하는 태스크이다. 본 논문에서는 구조화된 표 형식 데이터로부터 질문에 대한 답을 추론하는 TableQA 태스크를 소개하고, $S^3-NET$을 이용하여 TableQA 문제를 해결할 것을 제안한다. 실험 결과, 본 논문에서 제안한 방법이 EM 96.36%, F1 97.04%로 우수한 성능을 보였다.

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Complete Assignments of the 1H and 13C NMR Data of Flavone Derivatives

  • Moon, Byoung-Ho;Lee, Young-Shim;Shin, Choon-Shik;Lim, Yoong-Ho
    • Bulletin of the Korean Chemical Society
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    • v.26 no.4
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    • pp.603-608
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    • 2005
  • The $^1H\;and\;^{13}C$ chemical shifts of flavone and its five derivatives were determined completely using the basic 1D and 2D NMR experiments and molecular modeling. Of the six compounds used for our experiments, the NMR data of three compounds were published previously, but we found that the data of two compounds included wrong assignments. Therefore, we report the corrected data and the complete assignments of NMR data of the other three compounds.

The 1H and 13C NMR Data of 19 Methoxyflavonol Derivatives

  • Park, Young-Hee;Moon, Byoung-Ho;Lee, Eun-Jung;Hong, Sun-Hee;Lee, Sun-Hee;Lim, Yoong-Ho
    • Bulletin of the Korean Chemical Society
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    • v.29 no.1
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    • pp.81-84
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    • 2008
  • In the present study, we report 1H and 13C NMR data of 19 methoxyflavonol derivatives with different substitution patterns on A- and B-ring. In addition, the influence of the methoxy substituents in A- and B-ring on the 1H and 13C NMR chemical shifts is discussed: the 1H and 13C chemical shifts of and the number of methoxyl groups provided information allowing elimination of many structural isomers from consideration and in certain instances greatly simplified structural elucidation.