• Title/Summary/Keyword: $T_{\omega}$

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DERIVATIONS ON CR MANIFOLDS

  • Ryu, Jeong-Seog;Yi, Seung-Hun
    • Communications of the Korean Mathematical Society
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    • v.19 no.1
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    • pp.135-141
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    • 2004
  • We studied the relation between the tangential Cauchy-Riemann operator ${\={\partial}}_b$ CR-manifolds and the derivation $d^{{\pi}^{0,\;1}}$ associated to the natural projection map ${\pi}^{0.1}\;:\;TM\;{\bigotimes}\;{\mathbb{C}}\;=\;T^{1,0}\;{\bigoplus}\;T^{0,\;1}\;{\rightarrow}\;T^{0,\;1}$. We found that these two differential operators agree only on the space of functions ${\Omega}^0(M),\;unless\;T^{1,\;0}$ is involutive as well. We showed that the difference is a derivation, which vanishes on ${\Omega}^0(M)$, and it is induced by the Nijenhuis tensor associated to ${\pi}^{0.1}$.

IMPROVED MULTIPLICITY RESULTS FOR FULLY NONLINEAR PARABOLIC SYSTEMS

  • Jung, Tacksun;Choi, Q-Heung
    • Korean Journal of Mathematics
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    • v.17 no.3
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    • pp.283-291
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    • 2009
  • We investigate the existence of multiple solutions (${\xi},{\eta}$) for perturbations of the parabolic system with Dirichlet boundary condition $$(0.1)\;\begin{array}{lcr}{\xi}_t=-L{\xi}+g_1(3{\xi}+{\eta})-s{\phi}_1-h_1(x,t)\;in\;{\Omega}{\times}(0,\;2{\pi}),\\{\eta}_t=-L{\eta}+g_2(3{\xi}+{\eta})-s{\phi}_1-h_2(x,t)\;in\;{\Omega}{\times}(0,\;2{\pi}).\end{array}$$ We show the existence of multiple solutions (${\xi},{\eta}$) for perturbations of the parabolic system when the nonlinearity $g^{\prime}_1,\;g^{\prime}_2$ are bounded and $3g^{\prime}_1(-{\infty})+g^{\prime}_2(-{\infty})<{\lambda}_1,\;{\lambda}_n<3g^{\prime}_1(+{\infty})+g^{\prime}_2(+{\infty})<{\lambda}_{n+1}$.

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AN ERROR ANALYSIS OF THE DISCRETE GALERKIN SCHEME FOR NONLINEAR INTEGRAL EQUATIONS

  • YOUNG-HEE KIM;MAN-SUK SONG
    • Communications of the Korean Mathematical Society
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    • v.9 no.2
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    • pp.423-438
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    • 1994
  • We employ the Galerkin method to solve the nonlinear Urysohn integral equation (1.1) x(t) = f(t) + $∫_{D}$ k(t, s, x(s))ds (t $\in$ D), where D is a bounded domain in $R^{d}$ , the function f and k are known and x is the solution to be determined. We assume that D has a locally Lipschitz boundary ([1, p. 67]). We can rewrite (1.1) in operator notation as x = f + Kx. We consider (1.1) as an operator equation on $L_{\infty$}$(D) and assume that K is defined on the closure $\Omega$ of a bounded open set $\Omega$$L_{\infty}$(D). Throughout our analysis we put the following assumptions on (1.1).(omitted)(1.1).(omitted)

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Study on the CPW Structure Antenna (CPW 구조 안테나 연구)

  • Park, Yong-Wook
    • The Journal of the Korea institute of electronic communication sciences
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    • v.12 no.6
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    • pp.1003-1008
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    • 2017
  • In this paper, we studied the design and fabrication of double T Structure with CPW antenna at around 5 GHz band.. To improve of frequency properties of antenna, Double T Structure with CPW antenna was simulated by HFSS(: High Frequency Structure Simulator). A double T Structure with CPW antenna was designed and fabricated by photolithograph on an FR4 substrate (dielectric constant of 4.4 and thickness of 1.6 mm). The fabricated A double T Structure with CPW antenna showed a center frequency, the minimum return loss and impedance were 5.29GHz, -34dB, and 390MHz, $49.6{\Omega}$ respectively.

Property of Nickel Silicides with Hydrogenated Amorphous Silicon Thickness Prepared by Low Temperature Process (나노급 수소화된 비정질 실리콘층 두께에 따른 저온형성 니켈실리사이드의 물성 연구)

  • Kim, Jongryul;Choi, Youngyoun;Park, Jongsung;Song, Ohsung
    • Korean Journal of Metals and Materials
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    • v.46 no.11
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    • pp.762-769
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    • 2008
  • Hydrogenated amorphous silicon(a-Si : H) layers, 120 nm and 50 nm in thickness, were deposited on 200 $nm-SiO_2$/single-Si substrates by inductively coupled plasma chemical vapor deposition(ICP-CVD). Subsequently, 30 nm-Ni layers were deposited by E-beam evaporation. Finally, 30 nm-Ni/120 nm a-Si : H/200 $nm-SiO_2$/single-Si and 30 nm-Ni/50 nm a-Si:H/200 $nm-SiO_2$/single-Si were prepared. The prepared samples were annealed by rapid thermal annealing(RTA) from $200^{\circ}C$ to $500^{\circ}C$ in $50^{\circ}C$ increments for 30 minute. A four-point tester, high resolution X-ray diffraction(HRXRD), field emission scanning electron microscopy (FE-SEM), transmission electron microscopy (TEM), and scanning probe microscopy(SPM) were used to examine the sheet resistance, phase transformation, in-plane microstructure, cross-sectional microstructure, and surface roughness, respectively. The nickel silicide on the 120 nm a-Si:H substrate showed high sheet resistance($470{\Omega}/{\Box}$) at T(temperature) < $450^{\circ}C$ and low sheet resistance ($70{\Omega}/{\Box}$) at T > $450^{\circ}C$. The high and low resistive regions contained ${\zeta}-Ni_2Si$ and NiSi, respectively. In case of microstructure showed mixed phase of nickel silicide and a-Si:H on the residual a-Si:H layer at T < $450^{\circ}C$ but no mixed phase and a residual a-Si:H layer at T > $450^{\circ}C$. The surface roughness matched the phase transformation according to the silicidation temperature. The nickel silicide on the 50 nm a-Si:H substrate had high sheet resistance(${\sim}1k{\Omega}/{\Box}$) at T < $400^{\circ}C$ and low sheet resistance ($100{\Omega}/{\Box}$) at T > $400^{\circ}C$. This was attributed to the formation of ${\delta}-Ni_2Si$ at T > $400^{\circ}C$ regardless of the siliciation temperature. An examination of the microstructure showed a region of nickel silicide at T < $400^{\circ}C$ that consisted of a mixed phase of nickel silicide and a-Si:H without a residual a-Si:H layer. The region at T > $400^{\circ}C$ showed crystalline nickel silicide without a mixed phase. The surface roughness remained constant regardless of the silicidation temperature. Our results suggest that a 50 nm a-Si:H nickel silicide layer is advantageous of the active layer of a thin film transistor(TFT) when applying a nano-thick layer with a constant sheet resistance, surface roughness, and ${\delta}-Ni_2Si$ temperatures > $400^{\circ}C$.

Flavobacterium amnigenum sp. nov. Isolated from a River

  • Patil, Kishor Sureshbhai;Padakandla, Shalem Raj;Chae, Jong-Chan
    • Journal of Microbiology and Biotechnology
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    • v.28 no.9
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    • pp.1536-1541
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    • 2018
  • A yellowish, flexirubin-pigment-producing strain $I3-3^T$ was isolated from river water in Iksan, the Republic of Korea. The strain was gram-negative, aerobic, non-motile, showed catalase and oxidase activities, and could grow at a temperature range of $10-35^{\circ}C$, pH 5.0-10 and 0-2.0% (w/v) of NaCl. The major fatty acids were iso-$C_{15:0}$, iso-$C_{17:0}$ 3-OH and summed feature 3 (comprising $C_{16:1}{\omega}7c$ and/or $C_{16:1}{\omega}6c$). The isolate contained phosphatidylethanolamine, one aminolipid, and two unidentified lipids as the major polar lipids. Menaquinone-6 (MK6) was the major respiratory quinone. The G+C content of the genomic DNA of strain $I3-3^T$ was 35.6%. Comparison of the 16S rRNA gene sequence with the sequences of the closely related type strains showed highest sequence similarity of 96.95% and 96.93% to Flavobacterium nitrogenifigens $NXU-44^T$ and Flavobacterium compostarboris $15C3^T$, respectively. Based on phenotypic and phylogenetic distinctiveness, strain $I3-3^T$ is considered as a member of novel species within the genus Flavobacterium, for which Flavobacterium amnigenum sp. nov. is proposed. The type strain is $I3-3^T$ (=KCTC $52884^T$ =NBRC $112871^T$).

ON THE PETTIS INTEGRABILITY

  • Kim, Jin Yee
    • Journal of the Chungcheong Mathematical Society
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    • v.8 no.1
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    • pp.111-117
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    • 1995
  • A function $f:{\Omega}{\rightarrow}X$ is called intrinsically-separable valued if there exists $E{\in}{\Sigma}$ with ${\mu}(E)=0$ such that $f({\Omega}-E)$ is a separable in X. For a given Dunford integrable function $f:{\Omega}{\rightarrow}X$ and a weakly compact operator T, we show that if f is intrinsically-separable valued, then f is Pettis integrable, and if there exists a sequence ($f_n$) of Dunford integrable and intrinsically-separable valued functions from ${\Omega}$ into X such that for each $x^*{\in}X^*$, $x^*f_n{\rightarrow}x^*f$ a.e., then f is Pettis integrable. We show that a function f is Pettis integrable if and only if for each $E{\in}{\Sigma}$, F(E) is $weak^*$-continuous on $B_{X*}$ if and only if for each $E{\in}{\Sigma}$, $M=\{x^*{\in}X^*:F(E)(x^*)=O\}$ is $weak^*$-closed.

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Identification of linearly unstable modes in the near-Earth current disruption

  • Mok, Chin-Ook;Ryu, Chang-Mo
    • Bulletin of the Korean Space Science Society
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    • 2009.10a
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    • pp.44.1-44.1
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    • 2009
  • Identification of wave characteristics during current disruption events in the near-Earth geomagnetic tail region (~ 10 RE) is important to understand the substorm onset mechanism. In this paper, linear stability analysis in the ion-cyclotron grequency range, considering temperature anisotropy and cross-field flow is presented. It is found that the ion-cyclotron drift waves propagating in a quasi-perpendicular direction with respect to the ambient magnetic field are characterized by low frequencies ($\omega$ < $0.5{\Omega}ci$), while quasi-parallel waves have frequencies close to the ion-cyclotron frequency ($\omega{\sim}{\Omega}ci$). This finding is consistent with the observation by THEMIS spacecraft of a current disruption event in which a similar high- and low-frequency band structure is also present [A. T. Y. Lui, et al., J. Geophys. Res. 113, A00C06 (2008)]. It is also found that the quasi-perpendicular mode is excited by the ion cross-field flow.

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UV 처리에 의해 표면 산화 처리한 Silver Oxide 박막의 결정 변화에 따른 Nano Mechanics 특성 연구

  • Lee, Gyu-Yeong;Kim, Seong-Jun;Song, Ji-Eun;Kim, Su-In;Lee, Chang-U
    • Proceedings of the Korean Vacuum Society Conference
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    • 2013.02a
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    • pp.506-506
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    • 2013
  • Ag (Silver) 박막은 낮은 전기 저항과 높은 가시광대의 반사율을 가져 T-OLED (Top Emission-Organic Light Emitting Diode)의 Anode로 각광 받고 있지만, 일반적인 Ag 박막의 일함수는 4.3 eV 이하로 T-OLED의 Anode로 사용하기에는 낮은 단점이 있다. 따라서 이를 극복하기 위한 방법으로 Ag 박막 표면을 산화시켜 일함수를 증가시키기 위한 연구가 진행중에 있다. 하지만 연구는 단순히 일함수를 증가시키는 것에 한정되어 있을 뿐 UV 처리된 박막의 nano-mechanics 특성에 대한 연구는 현재 전무하다. 따라서 본 연구에서는 순도 99.9%의 Ag 타겟을 이용하여 rf magnetron sputter 장비를 통해 Ag 박막을 증착 하였고, 이후 UV (Ultra-Violet) 램프를 통해 시료 표면을 산화시켰다. 특히, 이 논문의 주요 관심사인 박막의 nano mechanics 특성 분석을 위하여 nano indenter와 SPM (Scanning Probe microscope) 장치를 활용 하였다. 실험 결과 후처리 시간이 3분 이하인 경우 박막이 비결정질의 silver oxide로 성장하는 것을 확인하였으며, 이때 박막의 면저항은 $0.16{\Omega}$/sq.에서 $0.55{\Omega}$/sq.로 증가하는 것을 관찰할 수 있었고, 3분 이후, 비결정질의 silver oxide가 conducting 특성을 갖는 silver oxide 결정을 이루면서 면저항이 $0.55{\Omega}$/sq.에서 $0.21{\Omega}$/sq.로 감소하는 것을 보았다. 또한 결정질의 박막이 자라는 3분이상의 박막에서 surface hardness는 급격하게 증가($3.57{\rightarrow}9.47$ GPa)했으며, 6분 이후에는 감소하는($9.47{\rightarrow}3.46$ GPa) 경향을 보였다. 이러한 경향은 silver oxide의 결정 크기가 Ag 결정 보다 크므로 상대적인 압축응력을 받아 표면 경도가 증가됐다. 처리시간 6분 이후, 경도 감소는 박막의 표면 물성이 불안정해졌기 때문이다.

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Enhancing liquid-chilled storage and cryopreservation capacities of ram spermatozoa by supplementing the diluent with different additives

  • Rateb, Sherif A.;Khalifa, Marwa A.;El-Hamid, Ibrahim S. Abd;Shedeed, Hesham A.
    • Asian-Australasian Journal of Animal Sciences
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    • v.33 no.7
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    • pp.1068-1076
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    • 2020
  • Objective: In the present study, we determined efficiency of incorporating caffeine, melatonin or omega-3 polyunsaturated fatty acid in the diluent on mitigating consequences of (a) liquid chilled- and (b) cryo-storage of ram spermatozoa. Methods: In the first experiment, ejaculates (n = 30) were collected from 5 adult rams and were pooled, diluted (1:10) with Tris-citric acid (base diluent) and were split into 4 aliquots assigned for: control (untreated), caffeine (0.1 mM), melatonin (0.3 mM) or omega-3 fatty acids (0.3 mM) (T0). The diluted specimens were stored at 4℃ for 48 h, during which sperm physical and cytological properties were evaluated along with oxidative stress indices (T24, T48). In the second experiment, 15 ejaculates (3 per male) were pooled, diluted with glycerolized base diluent (4% glycerol, v/v) and were split corresponding to the same previous treatment groups before being processed for cryopreservation. Post-thaw physical and kinematic sperm properties were assessed by a computer-assisted sperm analysis system. Results: The results clarified superiority of both melatonin and omega-3 supplementation on maintaining (p<0.05) sperm properties, while reducing (p<0.05) lipid peroxidase reaction and enzymatic activities of alanine aminotransferase, aspartate aminotransferase, and alkaline phosphatase in preservation medium, compared to caffeine either during liquid-chilled storage or cryopreservation of spermatozoa. Conclusion: Melatonin and omega-3 are regarded efficient alternatives to caffeine when processing ram spermatozoa for application of artificial insemination or in vitro fertilization.