• 제목/요약/키워드: Homogeneous Solution

검색결과 561건 처리시간 0.021초

A NOTE ON MEROMORPHIC SOLUTIONS OF COMPLEX DIFFERENTIAL-DIFFERENCE EQUATIONS

  • Qi, Xiaoguang;Yang, Lianzhong
    • 대한수학회보
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    • 제56권3호
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    • pp.597-607
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    • 2019
  • In this article, we consider properties of transcendental meromorphic solutions of the complex differential-difference equation $$P_n(z)f^{(n)}(2+{\eta}_n)+{\cdots}+P_1(z)f^{\prime}(z+{\eta}_1)+P_0(z)f(z+{\eta}_0)=0$$, and its non-homogeneous equation. Our results extend earlier results by Liu et al. [9].

Testing the Curvature of the Universe

  • L'Huillier, Benjamin
    • 천문학회보
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    • 제44권2호
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    • pp.58.4-58.4
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    • 2019
  • In a homogeneous and isotropic universe, the solution to the Einstein Field equation is the Friedmann-Robertson-Lemaître-Walker metric, which describes an expanding Universe with spatial curvature. The curvature has profound implications, in particular regarding the early universe. In this talk, I will review the state-of-the-arts constraints on the spatial curvature of the Universe using different cosmological observations. In particular, I will focus on model-independent tests using baryon acoustic oscillations and supernovae.

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폴리머용액법 및 알루미나 seed를 도입한 YAG:Ce3+ 형광체 분말 합성 (Synthesis of YAG:Ce3+ Phosphor Powders by Polymer Solution Route and Alumina Seed Application)

  • 김용현;이상진
    • 한국분말재료학회지
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    • 제20권1호
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    • pp.37-42
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    • 2013
  • $YAG:Ce^{3+}$ phosphor powders were synthesized using a $Al_2O_3$ seed (average particle size: 5 ${\mu}m$) by the polymer solution route. PVA solution was added to the sol precursors consisting of the seed powder and metal nitrate salts for homogeneous mixing in atomic scale. All dried precursor gels were calcined at $500^{\circ}C$ and then heated at $1400^{\circ}C{\sim}1500^{\circ}C$ in $N_2/H_2$ atmosphere. The final powders were characterized by using XRD, SEM, PSA, PL and PKG test. All synthesized powders were crystallized to YAG phase without intermediate phases of YAM or YAP. The phosphor properties and morphologies of the synthesized powders were strongly dependent on the PVA content. Finally, the synthesized $YAG:Ce^{3+}$ phosphor powder heated at $1500^{\circ}C$, which is prepared from 12:1 PVA content and has an average particle size of 15 ${\mu}m$, showed similar phosphor properties to a commercial phosphor powder.

Plasma-PVD법에 의해 제작한 Zn-Mg합금 박막의 특성 분석 (Properties Analysis of Zn-Mg Alloy Thin Films Prepared by Plasma Enhanced PVD Method)

  • 이경희;배일용;김여중;문경만;이명훈
    • 한국마린엔지니어링학회:학술대회논문집
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    • 한국마린엔지니어링학회 2005년도 후기학술대회논문집
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    • pp.194-195
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    • 2005
  • (100-x)Zn xMg alloy films are prepared onto cold-rolled steel substrates; where x ranged from 0 to about 38 atomic %. The alloy films show microcrystalline and grain structures respectively, according to preparation conditions such as composition ratio of zinc and magnesium or gas pressures etc.. And X-ray diffraction analysis indicates not only the presence of Zn-Mg thin films with forced solid solution but also the one of $MgZn_2$ alloy films partly. In addition the influence of Mg/Zn composition ratio and morphology of the Zn-Mg alloy films on corrosion behavior is evaluated by electro-chemical anodic polarization tests in deaerated 3% NaCl solution. From this experimental results, all the prepared Zn-Mg alloy films showed obviously good corrosion resistance to compare with 99.99% Zn and 99.99% Mg Ingots for evaporation metal. It is thought that the Zn-Mg films with effective forced solid solution prepared by plasma enhanced PVD method, produces smaller and denser grain structure so that may improve the formation of homogeneous passive layer in corrosion environment.

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Torsional flexural steady state response of monosymmetric thin-walled beams under harmonic loads

  • Hjaji, Mohammed A.;Mohareb, Magdi
    • Structural Engineering and Mechanics
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    • 제52권4호
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    • pp.787-813
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    • 2014
  • Starting with Hamilton's variational principle, the governing field equations for the steady state response of thin-walled beams under harmonic forces are derived. The formulation captures shear deformation effects due to bending and warping, translational and rotary inertia effects and as well as torsional flexural coupling effects due to the cross section mono-symmetry. The equations of motion consist of four coupled differential equations in the unknown displacement field variables. A general closed form solution is then developed for the coupled system of equations. The solution is subsequently used to develop a family of shape functions which exactly satisfy the homogeneous form of the governing field equations. A super-convergent finite element is then formulated based on the exact shape functions. Key features of the element developed include its ability to (a) isolate the steady state response component of the response to make the solution amenable to fatigue design, (b) capture coupling effects arising as a result of section mono-symmetry, (c) eliminate spatial discretization arising in commonly used finite elements, (d) avoiding shear locking phenomena, and (e) eliminate the need for time discretization. The results based on the present solution are found to be in excellent agreement with those based on finite element solutions at a small fraction of the computational and modelling cost involved.

광화학적 방법을 이용한 금속입자의 합성과 광학적 특성 연구 (Surface Plasmon Resonances of Metal Colloidal Particles Synthesized by a Photo-Chemical Process)

  • 고민진
    • 대한화학회지
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    • 제43권1호
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    • pp.1-7
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    • 1999
  • 이 논문에서는 광화학적 방법을 이용하여 금속 콜로이드 입자를 반도체 나노입자를 함유한 수용액내에서 제조하여 그 광학적 특성을 관찰하였다. 형성된 금속입자는 사용된 반도체 입자에 따라 다른 경향을 나타낸다. Au 금속 입자를 CdS 입자를 함유한 수용액내에서 제조한 경우 일반적인 금속 입자의 Plasmon Resonance의 특성을 보이는 반면 Ag금속 입자를 AgBr 입자를 함유한 용액내에서 제조한 경우 Red-Shift 현상을 보였고, 그 정도는 UV 조사량에 따라 달라졌다. 이러한 금속 Plasmon Resonance의 Red-Shift 현상을 Effective Medium 이론을 이용하여 이론적으로 설명하였다.

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태양전지용 CdSe 나노입자의 합성 (Preparation and Characterization of CdSe nanoparticle for Solar Cell application)

  • 김신호;박명국;이보람;이현주;김양도
    • 한국신재생에너지학회:학술대회논문집
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    • 한국신재생에너지학회 2007년도 추계학술대회 논문집
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    • pp.318-321
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    • 2007
  • CdSe nanoparticles were prepared by chemical solution methods using $CdCl_2{\cdot}4H_2O$ (or $Cd(NO_3)_ 2{\cdot}4H_2O$) and $Na_2SeSO_3$. The characteristics of CdSe nanoparticles were controlled by the react ion time, reaction temperature and reaction method as well as the surfactants. Cetyltrimethyl ammonium bromide(CTAB) was used as a capping agent to control the chemical reactions in aqueous solution. Polyvinylalcohol(PVA) was used as a templet in sono-chemical method. CdSe nanoparticles synthesized in aqueous solution showed homogeneous size distribution with relatively stable surface. CdSe nanoparticles synthesized in non-aqueous solution containing diethanolamine(DEA) showed the structure transformation from cubic to hexagonal as the reduction temperature increased from 80 to $160^{\circ}C$. Core shell CdSe was synthesized by sono-chemical method. Characteristics of CdSe nanoparticles were analyzed using transmission electron microscopy(TEM), x-ray photoelectron spectroscopy(XPS), x-ray diffraction(XRD), UV-Vis absorption spectra, fourier transform infrared spectroscopy(FT-IR) and photoluminescence spectra spectroscopy(PL). This paper presents simple routes to prepare CdSe nanoparticles for solar cell applications.

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아로마용액과 0.9% N/S 구강함수가 간호대학생의 구강건조, 구취 및 타액 pH에 미치는 효과 비교 (Comparisons of the Effects of A-solution and 0.9% Normal Saline Oral Gargling on Xerostomia, Halitosis, and Salivary pH in Nursing Students)

  • 조미경;조윤희
    • Journal of Korean Biological Nursing Science
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    • 제16권2호
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    • pp.141-149
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    • 2014
  • Purpose: The purpose of this study was to compare the effects of gargling with A-Solution and 0.9% normal saline on xerostomia, halitosis, and salivary pH among nursing students. Methods: The study design was a randomized, controlled trial. The experimental group received oral gargling treatment for 15 seconds with A-solution while the control group received oral gargling treatment for the same time with 0.9% normal saline. Outcome variables were measured at baseline, 60 minutes, and 120 minutes. Results: The groups were homogeneous in general characteristics, and the outcome variables before the treatment between the experimental group and the control group. 1) There were no significant differences in xerostomia, halitosis, and salivary pH between the two groups. 2) There were no significant differences in xerostomia, halitosis, and salivary pH based on the time. 3) There were significant interactions between group and time in subjective halitosis (F=3.766, p=.034) only. Conclusion: These findings indicate that oral gargling with Aroma solution and 0.9% normal saline could have the same effect of reducing xerostomia and halitosis in nursing students.

용매 증발법에 의한 $Pb(Mg_{1/3}Nb_{2/3})O_3$ 분말 합성 및 유전 성질 (Synthesis of $Pb(Mg_{1/3}Nb_{2/3})O_3$ powder by Solvent Evaporation and its Dielectric Property)

  • 이종필;이종국;강상구;김환
    • 한국세라믹학회지
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    • 제33권1호
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    • pp.17-24
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    • 1996
  • Pb(Mg1/3Nb2/3)O3 powder with high purity chemical homogeniety and reactivity was prepared by solvent eva-poration of common solution. The common solution was fabricated using a Pb(NO3)2 Mg(NO)3 and NB solution which was prepared by dissolving NbC in H2O2 acquous solution. In precusor powder prepared by solvent evaporation method the synthetic temperature of Pb(Mg1/3 Nb2/3)O3 phase was lowered. And the formation of homogeneous Pb(Mg1/3Nb2/3)O3 phase was enhanced but the formation of pyrochlore phase was reduced. The dielectric constant of PMN ceramics from the synthesized powder was found to increase with both sintering temperature and excess MgO and subsequent analysis of the microstructures confirmed that this was due to an increase in grain size. The grain size dependence is explained as a consequence of low-permittivity grain boundaries.

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Investigation of Demixing Phenomena of a Polymer Solution During the Phase Inversion Process

  • Han, Myeong-Jin;D. Bhattacharyya
    • 한국막학회:학술대회논문집
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    • 한국막학회 1995년도 춘계 총회 및 학술발표회
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    • pp.11-15
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    • 1995
  • Polysulfone (PS) membranes were prepared by the phase inversion process using water or isopropanol as nonsolvent. The Flory-Huggins theory for a ternary system nonsolvent/solvent/polymer is applied to describe the thermodynamic equilibria of the components. The calculated ternary phase equilibria show that demixing of a PS binary solution with n-methylpyrrolidone (NMP) will be fast in a water coagulation bath and will be delayed in an isopropanol bath. The prepared membranes were characterized by SEM, gas adsorption-desorption measurement, and permeability test. The membrane, which is precipitated by fast demixing in a water bath, has nodular structures in the skin region and includes finger-like cavities in the sublayer. The membrane coagulated by isopropanol has a very dense and thick skin structure, which is formed by delayed demixing. The membrane coagulated by isopropanol showed considerably lower pore volume and surface area compared to that observed with water coagulation method. With dimethylformamide (DMF) as solvent and 2-3 wt% of water, the solution can show the liquid-liquid phase separation due to agglomation of the polymer-lean phase from the homogeneous solution. The membranes, which were coagulated near an equilibrium state, show the large (micron size) round pores in the whole membranes. The pores do not contribute the permeation characteristics.

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