• Title/Summary/Keyword: Omega-3

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Nonlinear Analysis of a Forced Beam with Internal Resonances (내부공진을 가진 보의 비선형 강제진동해석)

  • 이원경;소강영
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.6
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    • pp.1897-1907
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    • 1991
  • An analysis is presented for the primary resonance of a clamped-hinged beam, which occurs when the frequency of excitation is near one of the natural frequencies, .omega.$_{n}$. Three mode interactions, .omega.$_{2}$=3.omega.$_{1}$, and .omega.$_{3}$=.omega.$_{1}$+2.omega.$_{2}$, are considered and their influence on the response is studied. The case of two mode interaction, .omega.$_{2}$=3.omega.$_{1}$, is also considered in order to compare it with the case of three mode interactions. The straight beam experiencing mid-plane stretching is governed by a nonlinear partial differential equation. By using Galerkin's method the governing equation is reduced to a system of nonautonomous nonlinear ordinary differential equations. The method of multiple scales is applied to obtain steady-state responses of the system. Results of numerical investions show that there exists no significant difference between both modal interactions.

Comparison of Fatty Acid Composition of Phospholipids from Human Mature Milk, Infant Formulas and Market Milk. (인유, 조제 분유 및 시유의 인 지방질의 지방산 조성의 비교)

  • Yoon, Tai-Heon;Im, Kyung-Ja
    • Journal of the Korean Applied Science and Technology
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    • v.2 no.1
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    • pp.33-36
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    • 1985
  • The fatty acid composition of Phospholipids from human mature milk, modified milk formula and market milk were analyzed by gas-liquid chromatography. The levels of 8:0, 10:0, 19:0, 20:0 and 22:0 were significantly higher in modified milk formula than in human milk. The levels of 14:0 and 16:0 were significantly lower in modified milk formula than in human milk. Modified milk formula had a higher $18:2{\omega}6$ content than human milk (17.9 versus 7.9%). The metabolites of the ${\omega}$9-, ${\omega}$6-$ and ${\omega}$3-series showed lower levels in modified milk formula than in human milk. The fatty acid composition of phospholipids from modified milk formula was similar to that of market milk.

Design of Electrodes of the Tapered Region of the Traveling-Wave Optical Modulator: SOR Method (진행파 광변조기의 Taper영역 전극 설계 : SOR기법)

  • 정석원;김창민
    • Korean Journal of Optics and Photonics
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    • v.7 no.1
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    • pp.77-86
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    • 1996
  • We employ the SOR method to analyze CPW electrodes of Ti:$LiNbO_3$ Mach-Zehnder traveling-wave optical modulator in the tapered region of an optical modulator. In the tapered region of the modulator, we design the electrodes satisfying $Z_c=50{\Omega}$. In the modulation region, we find two find sets of design parameters. One set is for $Z_c=50{\Omega}$, $n_{eff}=2.26$ and the another is for $n_{eff}=2.2$, $Z_c=47.7{\Omega}$.

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DENSE SETS IN WEAK STRUCTURE AND MINIMAL STRUCTURE

  • Modak, Shyamapada
    • Communications of the Korean Mathematical Society
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    • v.28 no.3
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    • pp.589-596
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    • 2013
  • This paper is an attempt to study and introduce the notion of ${\omega}$-dense set in weak structures and the notion of m-dense set in minimal structures. We have also investigate the relationships between ${\omega}$-dense sets, $m$-dense sets, ${\sigma}({\omega})$ sets, ${\pi}({\omega})$ sets, $r({\omega})$ sets, ${\beta}({\omega})$ sets, m-semiopen sets and $m$-preopen sets. Further we give some representations of the above generalized sets in minimal structures as well as in weak structures.

GEOMETRY OF L2(Ω, g)

  • Roh, Jaiok
    • Journal of the Chungcheong Mathematical Society
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    • v.19 no.3
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    • pp.283-289
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    • 2006
  • Roh[1] derived 2D g-Navier-Stokes equations from 3D Navier-Stokes equations. In this paper, we will see the space $L^2({\Omega},\;g)$, which is the weighted space of $L^2({\Omega})$, as natural generalized space of $L^2({\Omega})$ which is mathematical setting for Navier-Stokes equations. Our future purpose is to use the space $L^2({\Omega},\;g)$ as mathematical setting for the g-Navier-Stokes equations. In addition, we will see Helmoltz-Leray projection on $L^2_{per}({\Omega},\;g)$) and compare with the one on $L^2_{per}({\Omega})$.

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Comparative Analysis of Charging Modes of Series Resonant Converter for an Energy Storage Capacitor (에너지저장 커패시터의 최적 충전을 위한 직렬공진형 컨버터의 운용 모드 비교)

  • Lee, Byung-Ha;Kang, Tae-Sub;Cha, Han-Ju
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.61 no.3
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    • pp.394-400
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    • 2012
  • In this paper, charging modes of series resonant converter for a high voltage energy storage capacitor are compared in terms of charging time, peak resonant current, normalized peak resonant current and voltage in each operation mode. Operating principles of the full bridge series resonant converter with capacitor load are explained and analyzed in discontinuous and continuous operation mode. Based on the analysis and simulation result, $0.6{\omega}_r$ < ${\omega}_s$ < $0.75{\omega}_r$ and $1.3{\omega}_r$ < ${\omega}_s$ < $1.4{\omega}_r$ are evaluated to the best range of switching frequency for charging of an high voltage energy storage capacitor. 1.8 kJ/s SRC prototype is assembled with TI 28335 DSP controller and 40 kJ, 7 kV energy storage capacitor. Design rules based on the comparative analysis are verified by experiment.

Relationship Between Plasma, Erythrocyte Membrane, and Dietary Intake Levels of $\omega$-3 Fatty Acids in Young Korean Females : Effect of Diet Survey for Two Months (한국 성인 여성의 혈장 및 적혈구막의 $\omega$-3 지방산함량과 2개월간의 식이섭취와의 관계)

  • 한은경
    • Journal of Nutrition and Health
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    • v.28 no.10
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    • pp.995-1003
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    • 1995
  • This study was conducted to asses the $\omega$-3 fatty acid intake levels and to evaluate the relationship between the levels of $\omega$-3 fatty acids in plasma and erythrocyte membrane and the dietary intake of these fatty acids over the period of two months in 56 young Korean females. Dietary survey was conducted to obtain 7-day weiged records and six 24-hour recalls. Fasting blood sample was collected from each subject after the dietary survey period. Mean daily intakes of energy, fat, and cholesterol were 1,569㎉, 41.8g, and 217mg, respectively. Fat suppled 24% of total energy intake. Mean daily intake levels of eicosapentaenoic acid(EPA), docosahexaenoic acid(DHA), and total $\omega$-3 fatty acids were 0.04g, 0.06g, and 0.48g, respectively. Plasma cholesterol levels of most of the subjects were within normal range, and there was no significant correlation between plasma cholesterol levels and intake levels of any specific fatty acid. Levels of EPA, DHA, EPA+DHA in plasma and erythrocyte membrane, but not the levels of $\alpha$-linolenic acid(LNA), were significantly correlated with dietary in take of respective fatty acids. Such a correlation, however, was not observed in a previous study where dietary intake was assessed for 3 days. The results of this study show that dietary intakes of $\omega$-3 fatty acids are low in the subject and that about two-month period is required to assess dietary intake levels of $\omega$-3 fatty acids with a reasonable accuracy.

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Physiological Activity of $\omega3$ Polyunsaturated Fatty Acids in Dark Fleshed Fishes II. Antioxidative Effect on Lipid Peroxidation in Rats ($\omega3$ 고도불포화지방산의 생리활성에 관한 연구 II. 과산화지질에 대한 항산화 작용)

  • CHOI Jin-Ho;Byun Dae-Seok
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.22 no.2
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    • pp.109-114
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    • 1989
  • To compare antioxidant action of u 3 polyunsaturated fatty acid (PUFA) on lipid peroxidation in rats, the formation of malondialdehyde (MDA) and membranes of liver and brain and activities of antioxidant-related enzymes such as catalase, glutathione peroxidase, and superoxide dismutase (SOD) in blood, were studied. Malondialdehyde contents of $\omega3$ PUFA and sardine oil groups were significantly decreased compared with lard group as control (p<0.05). Catalase and superoxide dismutase showed higher activities in $\omega3$ PUFA and sardine oil groups than those of lard control group. These findings suggest that fish oil has a inhibitory effect on formation of lipid peroxides in blood and membranes of rats.

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A SURVEY ON SYMPLECTIC GEOMETRY

  • Nam, Jeong-Koo
    • The Pure and Applied Mathematics
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    • v.3 no.1
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    • pp.19-32
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    • 1996
  • A symplectic manifold is a pair (M, $\omega$) consisting of a smooth manifold M and a non-degenerate closed 2-form $\omega$ on M. Locally, $\omega$ = (equation omitted) and d$\omega$ = 0, when n = dimM. The condition d$\omega$ = 0 implies that locally $\omega$ = d${\alpha}$ with ${\alpha}$ = (equation omitted). There are three main sources of symplectic manifolds.(omitted)

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${H^1}({\Omega})$-NORM ERROR ANALYSIS UNDER NUMERICAL QUADRATURE RULES BY THE P-VERSION OF THE FINITE ELEMENT METHOD

  • Kim, Ik-Sung;Kim, Chang-Geun;Song, Man-Suk
    • Communications of the Korean Mathematical Society
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    • v.9 no.2
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    • pp.467-489
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    • 1994
  • Let $\Omega$ be a closed and bounded polygonal domain in R$^2$, or a closed line segment in R$^1$ with boundary $\Gamma$, such that there exists an invertible mapping T : $\Omega$ \longrightarrow $\Omega$ with the following correspondence: x$\in$$\Omega$ ↔ x = T(x) $\in$$\Omega$, (1.1) and (1.2) t $\in$ U$\sub$p/($\Omega$) ↔ t = to T$\^$-1/ $\in$ U$\sub$p/($\Omega$), where $\Omega$ denotes the corresponding reference elements I = [-1,1] and I ${\times}$ I in R$^1$ and R$^2$ respectively, (1.3) U$\sub$p/($\Omega$) = {t : t is a polynomial of degree $\leq$ p in each variable on $\Omega$}, and (1.4) U$\sub$p/($\Omega$) = {t : t = to T $\in$ U$\sub$p/($\Omega$)}.(omitted)

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