• Title/Summary/Keyword: $S_N2$

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Chain Length Effect on the Configurational Properties of an n-Alkane Chain in Solution

  • Jeon, Seung-Ho;Ree, Tai-Kyue;Oh, In-Joon
    • Bulletin of the Korean Chemical Society
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    • 제7권5호
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    • pp.367-371
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    • 1986
  • Dynamic and equilibrium properties of n-alkane chains immersed in solvent molecules have been investigated by a molecular dynamics method. The n-alkane chain is assumed to be a chain of elements (CH$_2$) interconnected by bonds having a fixed bond length and bond angle, but each bond of the chain is allowed to execute hindered internal rotation. We studied the effect of the number of the chain elements (N$_c$ = 10, 15 and 20) on the equilibrium properties of the system, e.g., the pair correlation functions between a chain element and solvent molecules, g$_{cs}$(r), and between the chain elements, g$_{cc}$(r), and the configurational properties such as the mean-square end-to-end distance < R$^2$ >, the mean-square radius of gyration < S$^2$ >, and the eigenvalues of the moment-of-inertia tensor < S$_i^2$ > / < S$^2$ > (i = 1, 2 and 3). We also studied the dynamic properties of the system, e.g., the autocorrelation function C(A;t) where A = R$^2$(t), = S$^2$(t), or = ${\vec{V}}(t)({\vec{V}}$ = velocity of the center of mass), and the diffusion coefficient D. The g$_{cs}$(r)'s are almost equal irrespective of the change of Nc while g$_{cc}$(r) becomes larger as N$_c$ increases; The MD computed configurational properties < R$^2$2 > and < S$^2$ > were found to be a little different from the values calculated from the statistical equations of < R$^2$ > and < S$^2$ >, it may be due to the fact that our model for the MD simulations includes a long-range volume effect. From the < S$_i^2$ > / < S$^2$ >, it is found that the chain molecule has a nearly spherical shape irrespective of the variation of N$_c$. For the dynamic properties we found that the C(R$^2$;t) and C(S$^2$;t) of lower N$_c$ decay faster than those of higher N$_c$, while the C($\vec V$;t) of the center of mass in the chain is weakly dependent on the N$_c$. The center of mass diffusion coefficient D$_c$ decreases as N$_c$ increases while the end point diffusion coefficient D$_e$ is nearly equal irrespective of the change of N$_c$.

A NOTE ON SUMS OF RANDOM VECTORS WITH VALUES IN A BANACH SPACE

  • Hong, Dug-Hun;Kwon, Joong-Sung
    • 대한수학회논문집
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    • 제10권2호
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    • pp.439-442
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    • 1995
  • Let ${X_n : n = 1,2,\cdots}$ be a sequence of pairwise independent identically distributed random vectors taking values in a separable Hilbert space H such that $E \Vert X_1 \Vert = \infty$. Let $S_n = X_1 + X_2 + \cdots + X_n$ and for any real $\alpha$ with $0 < \alpha < 1$ define a sequence ${\gamma_n(\alpha)}$ as $\gamma_n(\alpha) = inf {r : P(\Vert S_n \Vert \leq r) \geq \alpha}$. Then $$ lim_{n \to \infty} sup \Vert S_n \Vert/\gamma_n(\alpha) = \infty $$ holds. This is a generalization of Vvedenskaya[2].

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3-점 평균 피벗 퀵정렬 (3-Points Average Pivot Quicksort)

  • 이상운
    • 한국인터넷방송통신학회논문지
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    • 제14권6호
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    • pp.295-301
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    • 2014
  • 데이터를 정렬하는 방법들 중 O(n log n)보다 빠른 방법은 알려져 있지 않고 있으며, 가장 빠른 방법으로 퀵정렬이 있다. n개의 데이터에 대해 퀵정렬은 최적의 경우 O(n log n), 최악의 경우 $O(n^2)$ 수행 복잡도를 갖고 있다. 본 논문에서는 퀵정렬보다 빠르게 정렬하는 방법으로, 분할된 리스트의 첫 번째 L=a[s], 마지막 H=a[e]과 중간 $M=[{\lfloor}(s+e)/2{\rfloor}]$에 대해 P=(L+M+H)/3의 3-점 평균을 피벗값으로 결정하는 방법을 제안하였다. 실험 결과 제안된 3-점 평균 피벗 퀵정렬은 최적, 평균, 최악 모두 수행 복잡도가 O(n log n)으로 퀵정렬의 $O(n^2)$ 정렬 시간을 단축시킬 수 있었다.

The Effect of N-Substituted Alkyl Groups on the Anticonvulsant Activities of N-Cbz-${\alpha}$-amino-N-alkylsuccinimides

  • Lee, Jae-Won;Son, Ki-Chun;Jung, Kyung-Im;Choi, Jong-Won;Park, Min-Soo
    • Archives of Pharmacal Research
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    • 제20권1호
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    • pp.53-57
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    • 1997
  • For the purpose of defining the effects of the N-substituted alkyl groups on the anticonvulsant activities of N-Cbz-.alpha.-aminosuccinimides, various (R)- and (S)-N-alkyl substituted N-Cbz-.alpha.-aminosuccinimides (1 and 2) were prepared from the corresponding (R)- and (S)-N-Cbz-aspartic acid by using known reaction and were evaluated the anticonvulsant activies in the MES and PTZ tests, including their neurotoxicities. The most active compound in the MES test was (R)N-Cbz-.alpha.-amino-N-methylsuccinimide (1b) $(ED_{50}=52.5 mg/kg, Pl=3.2)$. And in case of the PTZ test, (R)-N-Cbz-.alpha.-amino-N-ethylsuccinimide (1c) was the most active compound $(ED_{50}/=32.5mg/kg, Pl=3.1)$. The order of anticonvulsant activities of these compounds against the MES test, as judged from the ED_50values for the R series (1), was N-methyl > N-isobutyl > non-substituted > N-ethyl, N-allyl > N-benzyl compound; for the S series (2) N-methyl > N-altyl > non-substituted > N-isobutyl > N-ethyl > N-benzyl compound. The anticonvulsant activities in the PTZ tests of these compounds exhibited somewhat different pattern ; for the R series (1) Nethyl > N-methyl > N-isobutyl> non-substituted > N-allyl > N-benzyl compound in order of decreasing activity; for S series (2) N-ethyl > N-allyl, non-substituted > N-isobutyl > N-methyl > N-benzyl compound in order of decreasing activity.

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흰쥐현장지질 감소에 관한 n-3/n-6 와 P/S 섭취비율의 반응표면분석 (Response Surface Analysis of Dietary n-3/n-6 and P/S Ratio on Reduction of Plasma Lipids in Rats)

  • 박병성
    • 한국응용과학기술학회지
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    • 제21권2호
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    • pp.148-155
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    • 2004
  • Response surface analysis was used to study dietary ratios of n-3/n-6 fatty acid and P/S to minimize plasma triglycerides, total cholesterol and LDL ${\cdot}$ VLDL-C levels and maximize plasma HDL ${\cdot}$ C levels of rats. Because the dietary components were not statistically independent, they were studied in combinations of two variables. The two-variable combinations were the most useful in locating the desired maximum or minimum plasma triglycerides, total cholesterol and LDL ${\cdot}$ VLDL-C response in terms of the proportions of the dietary components. Response surface contours and three dimensional plots were developed for each plasma lipid response. The contours and three dimensional plots were used to help determine those combinations of the dietary fatty acid ratios that would produce the desired minimum or maximum lpid responses. The statistical analyses indicated that the minimized plasma cholesterol response levels could be attained with a diet consisting of 2.26 n-3/n-6 fatty acid and 2.15 P/S ratios.

T800/924C 탄소-에폭시 복합재판의 압축강도에 대한 두께 효과 (Thickness Effect on the Compressive Strength of T800/924C Carbon Fibre-Epoxy Laminates)

  • Lee, J.;C. Kong;C. Soutis
    • Composites Research
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    • 제17권4호
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    • pp.7-17
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    • 2004
  • 본 연구에서 복합재의 압축 강도에 대한 두께 효과가 $[0_4]_{ns},{\;}[45/0/-45/90]_{ns},{\;}[45_n/0_n/-45_n/90_n]_s$ (n=2 to 8) 등의 적층 방법을 이용하여 체계적인 실험을 통해 조사되었다. 여기서 섬유 체적비, 기공률, 섬유 굴곡도, 층간 응력 등, 적층 두께 증가에 따른 압축 강도에 영향을 주는 파라미터들이 실험과 이론적으로 연구되었다. 또한 엇교차 대칭 복합재판의 파괴강도에 대한 적층 순서 효과도 조사되었다. 이를 위해 2종류의 다른 스케일링 효과를 갖는 (1) 폰라이-레벨 기법인 $[45_n/0_n/-45_n/90_n]_s$과 (2) 서브라미네이트-레벨 기법인 $[45_n/0_n/-45_n/90_n]_s$가 적용되었다. 일 방향 적층 시편 $[0_4]_{ns}$과 플라이-레벨인 $[45_n/0_n/-45_n/90_n]_s$에는 분명한 두께효과를 나타내었다. 그리고 섬유 굴곡도와 기공률의 두께효과에 기여하는 주요 파라미터 들임이 확인되었다. 그러나 서브라미네이트-레벨인 $[45/0/-45/90]_{ns}$의 압축강도는 시편 두께의 변화에도 불구하고 별 영향을 나타내지 않았으면, 서브라미네이트- 레벨 시편에서 구한 강토가 플라이-레벨 시편에서 구한 강도보다 약간 높았다. 이 같은 효과에 대한 이유는 섬유 굴곡도, 기공률, 자유단 효과 및 $0^{\circ}$층과 비 $0^{\circ}$층 사이의 응력 재 분포에 의한 영향인 것으로 보인다. 측정된 파괴강도는 예측 값과 비교되었다.

분자선 에피택시를 이용하여 GaN 나노로드를 성장시 구조 및 광학적인 특성에 미치는 N2의 양의 효과 (Effect of N2 flow rate on growth and photoluminescence properties of GaN nanorods grown by using molecular beam epitaxy)

  • 박영신
    • 한국진공학회지
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    • 제16권4호
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    • pp.298-304
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    • 2007
  • rf 플라즈마 소스가 장착된 분자선 에피택시 장비를 이용하여 Si(111) 기판위에 GaN 나노로드를 성장할 때, N2의 흐름양을 조절하여 나노로드의 구조 및 광학적인 특성을 조사하였다. $N_2$의 양이 1.1sccm에서 2.0sccm으로 변할 때 육각형 모양의 나노로드가 성장되었으며, 평균 직경이 80nm에서 190nm 까지 변화 하였다. 그러나 나노로드와 compact한 영역의 길이 (두께)비는 $N_2$의 양이 1.7sccm 까지는 증가하지만 그 이상에서는 변화지 않았다. PL 측정으로부터, $N_2$의 양이 적은 나노로드에서 자유 엑시톤의 피이크가 더욱 뚜렷하게 관측되었고, 모든 PL 피이크의 위치는 직경이 적을수록 나노로드의 크기 효과에 의해서 고에너지 쪽으로 이동하였다. $N_2$의 양이 1.7sccm 인 시료에서는 온도에 따른 PL의 피이크의 위치가 온도가 증가함에 따라서 "S-형"의 거동을 나타내었다.

PRECISE ASYMPTOTICS IN COMPLETE MOMENT CONVERGENCE FOR DEPENDENT RANDOM VARIABLE

  • Han, Kwang-Hee
    • 호남수학학술지
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    • 제31권3호
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    • pp.369-380
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    • 2009
  • Let $X,X_1,X_2,\;{\cdots}$ be identically distributed and negatively associated random variables with mean zeros and positive, finite variances. We prove that, if $E{\mid}X_1{\mid}^r$ < ${\infty}$, for 1 < p < 2 and r > $1+{\frac{p}{2}}$, and $lim_{n{\rightarrow}{\infty}}n^{-1}ES^2_n={\sigma}^2$ < ${\infty}$, then $lim_{{\epsilon}{\downarrow}0}{\epsilon}^{{2(r-p}/(2-p)-1}{\sum}^{\infty}_{n=1}n^{{\frac{r}{p}}-2-{\frac{1}{p}}}E\{{{\mid}S_n{\mid}}-{\epsilon}n^{\frac{1}{p}}\}+={\frac{p(2-p)}{(r-p)(2r-p-2)}}E{\mid}Z{\mid}^{\frac{2(r-p)}{2-p}}$, where $S_n\;=\;X_1\;+\;X_2\;+\;{\cdots}\;+\;X_n$ and Z has a normal distribution with mean 0 and variance ${\sigma}^2$.

$n-CdS_{0.69}Se_{0.31}/p-Cu_{2-x}S_{0.69}Se_{0.31}$ Heterojunction 태양전지의 제작과 특성 (Fabrication and Characteristics of $n-CdS_{0.69}Se_{0.31}/p-Cu_{2-x}S_{0.69}Se_{0.31}$ Heterojunction Solar Cell)

  • 백승남;홍광준
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2004년도 춘계학술대회 논문집 반도체 재료 센서 박막재료 전자세라믹스
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    • pp.51-55
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    • 2004
  • $CdS_{0.69}Se_{0.31}$ single crystal grown by sublimation method. Hall effect measurement were carried out by the Van der Pauw method. The measurement values under the temperature were found to be carrier density $n=1.95{\times}10^{23}m^{-3}$, Hall coeffcient $RH=3.21{\times}10^{-5}m^3/c$, conductivity ${\sigma}=362.41{\Omega}^{-1}m^{-1}$, and Hall mobility ${\mu}=1.16{\times}10^{-2}m^2/v.s.$ Heterojunction solar cells of $n-CdS_{0.69}Se_{0.31}/p-Cu_{2-x}S_{0.69}Se_{0.31}$ were fabricated by the substitution reaction. The open-circuit voltage, short-circuit currint density, fill factor and power conversion efficiency of $n-CdS_{0.69}Se_{0.31}/p-Cu_{2-x}S_{0.69}Se_{0.31}$ heterojunction solar cell under $80mW/cm^2$ illumination were found to be 0.41V, $19.5mA/cm^2$, 0.75 and 9.99%, respectivity.

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