• Title/Summary/Keyword: 2W

Search Result 22,940, Processing Time 0.06 seconds

STABILITY OF FUNCTIONAL EQUATIONS WITH RESPECT TO BOUNDED DISTRIBUTIONS

  • Chung, Jae-Young
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.21 no.3
    • /
    • pp.361-370
    • /
    • 2008
  • We consider the Hyers-Ulam type stability of the Cauchy, Jensen, Pexider, Pexider-Jensen differences: $$(0.1){\hspace{55}}C(u):=u{\circ}A-u{\circ}P_1-u{\circ}P_2,\\(0.2){\hspace{55}}J(u):=2u{\circ}\frac{A}{2}-u{\circ}P_1-u{\circ}P_2,\\(0.3){\hspace{18}}P(u,v,w):=u{\circ}A-v{\circ}P_1-w{\circ}P_2,\\(0.4)\;JP(u,v,w):=2u{\circ}\frac{A}{2}-v{\circ}P_1-w{\circ}P_2$$, with respect to bounded distributions.

  • PDF

A FUNCTIONAL EQUATION ON HOMOGENEOUS POLYNOMIALS

  • Bae, Jae-Hyeong;Park, Won-Gil
    • The Pure and Applied Mathematics
    • /
    • v.15 no.2
    • /
    • pp.103-110
    • /
    • 2008
  • In this paper, we obtain the general solution and the stability of the cubic functional equation f(2x + y, 2z + w) + f(2x - y, 2z - w) = 2f(x + y, z + w) + 2f(x - y, z - w) + 12f(x, z). The cubic form $f(x,\;y)\;=\;ax^3\;+\;bx^2y\;+\;cxy^2\;+\;dy^3$ is a solution of the above functional equation.

  • PDF

Characteristics of W-TiN Gate Electrode Depending on the Formation of TiN Thin Film (W-TiN 복층 전극 소자에서 TiN 박막 형성 조건에 따른 특성 분석)

  • 윤선필;노관종;양성우;노용한;김기수;장영철;이내응
    • Journal of the Korean Vacuum Society
    • /
    • v.10 no.2
    • /
    • pp.189-193
    • /
    • 2001
  • We have characterized physical and electrical properties of W-TiN stacked gate electrode structure with TiN as a diffusion barrier of fluorine. As the $N_2/Ar$ gas ratio increased during sputter deposition, TiN thin films became N-rich, and the resistivity of the films increased. However, the resistivity of W-TiN stacked gate reduced as a result of the crystallization of tungsten with the increase of $N_2/Ar$ gas ratio. On the other hand, tungsten in W-TiN stacked gate structure have the (100)-oriented crystalline structure although TiN films were subjected to annealing at high temperature (600~$800^{\circ}C$). Leakage currents of W-TiN gate MOS capacitors were less than $10^{-7}\textrm{/Acm}^2$ and also were lowered by the order of 2 compared with those of pure W gate electrode.

  • PDF

A Study on Development of the Secondary Reverse Vortex in Building Canyon (건물협곡에서의 2차 역회전 소용돌이 형성에 관한 연구)

  • Son, Minu;Kim, Do-Yong
    • Journal of the Korean Society for Environmental Technology
    • /
    • v.19 no.6
    • /
    • pp.528-535
    • /
    • 2018
  • In this study, the effect of obstacle aspect ratio on vortex in building canyon was numerically investigated using a computational fluid dynamics(CFD) model. The sensitivity experiments were performed in the cases of increasing building length(L) and height(H) by the width(W) of building canyon. The wind vector fields and secondary reverse vortex in building canyon were discussed in this study. For the horizontal vortex, the vortex zone increased as the building length increases, but the vectors at the middle of building canyon began to change in the case of L/W=2.5. In the case of L/W=3.0, the smaller primary vortex was presented with the secondary reverse vortex. For the vertical vortex, the vortex zone increased as the building height increases, but the direction of vectors at the bottom of building canyon began to change in the case of H/W=2.5. In the case of H/W=3.5, the smaller primary vortex was presented with the secondary reverse vortex.

The Fermentation Properties of Red Wine using Active Dry Yeast Strains (활성건조효모를 이용한 포도주의 발효 특성)

  • Moon Young-Ja;Lee Myung-Soon;Sung Chang-Keun
    • The Korean Journal of Food And Nutrition
    • /
    • v.17 no.4
    • /
    • pp.450-457
    • /
    • 2004
  • In wine making, to perform yeast culture effectively, which is the most important factor, 5 strains of representative active dry yeasts were selected : Montrachet, Pasteur Champagne, Epernay II, Prise do Mousse, Lalvin W15. The results about fermentation properties were as follows. After 1 day of fermentation, the ethanol contents of Lalvin W15 wine and Montrachet wine were 5.4% and 4.0%. After 2 days of fermentation, the ethanol content of Lalvin W15 wine was 9.2%, which is the highest degree among all experimental groups. As for the content of sugar solution, the wine fermented by Lalvin W15 was the highest one. In acidic solution, fermentation activity of Prise de Mousse, Lalvin W15, Montrachet were highest degrees and Red wine fermentation activity of Prise de Mousse has shown the highest degree in its fermentation activity, if only initial SO$_2$ amounts were 200 ppm. In regard to the foaming tendency during fermentation, the size of foams in Montrachet was big and the amount of foams was a lot. The change in Brix during the fermentation became evident after two days. The Brix of Montrachet wine and Lalvin W15 wine was 3.0, a high initial fermentation speed. After 10 days of fermentation, total acidity of Lalvin W15 wine was 0.99g/100m1, the highest degree. After 3 days of fermentation, the ethanol content of Lalvin W15 wine was 7.4%, the highest degree. But after 9 days of fermentation Epernay II showed the higher ethanol concentration to 13.8%.

Thermal Characteristics of Living Leaves in Pinus Densiflora with Heat Flux (복사열 증가에 따른 소나무 생엽의 열적특성 분석)

  • Park, Young-Ju;Lee, Hae-Pyeong
    • Journal of the Korean Society of Hazard Mitigation
    • /
    • v.10 no.5
    • /
    • pp.75-82
    • /
    • 2010
  • To study the combustion characteristics of forest fuel by fire intensity, the experiment of combustion characteristics on Pinus Densiflora living leaves, which is the weakest species to the forest fire, was delivered, using variables of heat flux(25 kW/$m^2$, 50 kW/$m^2$, 75 kW/$m^2$). With the equipment of Cone calorimeter, the characteristics of ignition, heat, smoke release, CO and $CO_2$ release, and mass loss were analyzed. Pinus Densiflora living leaves containing moisture of 60.66% were not ignited at the heat flux of variables 25 kW/$m^2$, 50 kW/$m^2$, 75 kW/$m^2$. In proportion to the heat flux value, heat release amount and heat release rate reached maximum value rapidly: higher variables came to the maximum by the half rapidity and the maximum value were twice higher than the former lower variables respectively. As for the smoke release, the less heat flux the variable had, the more smoke release it had, due to incomplete combustion. The release amount of CO and $CO_2$ had more maximum value as the heat flux increased and more radiant heat meaned more carbon oxide. When the forest fire breaks out, therefore, a great amount of CO and $CO_2$ will be released by Pinus Densiflora.

Microstructural Feature of Full-densified W-Cu Nanocomposites Containing Low Cu Content

  • Lee, Jai-Sung;Jung, Sung-Soo;Choi, Joon-Phil;Lee, Geon-Yong
    • Journal of Powder Materials
    • /
    • v.20 no.2
    • /
    • pp.138-141
    • /
    • 2013
  • The microstructure evolution during sintering of the W-5 wt.%Cu nanocomposite powders was investigated for the purpose of developing a high density W-Cu alloy. The W-5 wt.%Cu nanopowder compact, fully-densified during sintering at 1623 K, revealed a homogeneous microstructure that consists of high contiguity structures of W-W grains and an interconnected Cu phase located along the edges of the W grains. The Vickers hardness of the sintered W-5 wt.%Cu specimen was $427{\pm}22$ Hv much higher than that ($276{\pm}19$ Hv) of the conventional heavy alloy. This result is mostly due to the higher contiguity microstructure of the W grains compared to the conventional W heavy alloy.

A NOTE ON w-NOETHERIAN RINGS

  • Xing, Shiqi;Wang, Fanggui
    • Bulletin of the Korean Mathematical Society
    • /
    • v.52 no.2
    • /
    • pp.541-548
    • /
    • 2015
  • Let R be a commutative ring. An R-module M is called a w-Noetherian module if every submodule of M is of w-finite type. R is called a w-Noetherian ring if R as an R-module is a w-Noetherian module. In this paper, we present an exact version of the Eakin-Nagata Theorem on w-Noetherian rings. To do this, we prove the Formanek Theorem for w-Noetherian rings. Further, we point out by an example that the condition (${\dag}$) in the Chung-Ha-Kim version of the Eakin-Nagata Theorem on SM domains is essential.

Effect of the Ni Content and W Grain Size on the High Temperature Com-pressive Properties of W-Ni Activated Sintered Parts (Ni 함량과 W 결정립 크기에 따른 W-Ni 활성소결체의 고온압축 특성)

  • 박영삼;오승탁;양주환;김영도;문인형
    • Journal of Powder Materials
    • /
    • v.11 no.2
    • /
    • pp.149-157
    • /
    • 2004
  • High temperature deformation behavior of activated sintered W powder compacts was investigated. The compression tests were carried out in the temperature range between 900 and 110$0^{\circ}C$ at the strain rate of $10^{-3}s^{-1}$. The sintered specimens of Ni-doped submicron W powder compacts showed decrease in W grain size with increasing the Ni content. As the result, the flow stress was significantly increased with increasing the Ni content. We obtained Ni-activated sintered W compacts with the relative density of 94 $\pm$ l%and the average grain size of less than 5${\mu}{\textrm}{m}$. A moderate true strain up to 0.60 was obtained without fracture even at 110$0^{\circ}C$ with the strain rate of $10^{-3}s^{-1}$ for the activated W compact despite adding the 1.0 wt%Ni to submicron W powder.

Changes of Physicochemical Properties of Paper Mill Sludge and Sewage Sludge Mixed with Various Ratios of a Bulking Agent During Composting (공극개선재의 혼합비율에 따른 제지·하수슬러지의 퇴비화과정중 이화학성 변화)

  • Yu, Young-Suk;Chang, Ki-Woon
    • Journal of the Korea Organic Resources Recycling Association
    • /
    • v.6 no.2
    • /
    • pp.45-57
    • /
    • 1998
  • The object of this experiment was to determine the optimum mixing ratio of paper mill sludge and sewage sludge with woodchips as a bulking agent. The bulking agent was mixed with the mixture of paper mill sludge and sewage sludge(2:1 by dried weight) at the rates of 0(W-0), 20(W-20), 33(W-33), and 50(W-50)% on volume basis, and then the mixtures were composted by forced aerated static pile. The changes of physicochemical properties of the mixtures were measured during the composting in order to evaluate the maturity of composts. The temperatures of W-30 and W-50 treatments increased rapidly as soon as the composting started, and reached $60^{\circ}C$ in the fifth day of composting. Reduction of hot water soluble C/N ratio of W-33 and W-50 treatments showed faster than that of W-0 and W-20 treatments at early stage of the composting. The contents of hot water soluble $NO_3{^-}-N$ showed little change in the early stage of the composting in all treatments, but increased rapidly after 20 days of the composting, and the contents of W-0 among all treatments were lower than the others. The G.I. values of W-50 treatment were over 80 before 20 days after starting the composting, those of W-0 treatment were over 80 after 30 days. As a result of evaluation of compost, W-33 and W-50 treatments were found very reasonable at the mixing ratio of a bulking agent. But it is very difficult to aerate compost pile for W-50 treatment than W-33 treatment due to intensified fluctuation of temperature. Considering cost, availability of a bulking agent, and productivity of compost, W-33 treatments more efficient than W-50 treatment.

  • PDF