• Title/Summary/Keyword: weak and strong solution

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SECOND ORDER NONSMOOTH MULTIOBJECTIVE FRACTIONAL PROGRAMMING PROBLEM INVOLVING SUPPORT FUNCTIONS

  • Kharbanda, Pallavi;Agarwal, Divya;Sinha, Deepa
    • Journal of applied mathematics & informatics
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    • v.31 no.5_6
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    • pp.835-852
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    • 2013
  • In this paper, we have considered a class of constrained non-smooth multiobjective fractional programming problem involving support functions under generalized convexity. Also, second order Mond Weir type dual and Schaible type dual are discussed and various weak, strong and strict converse duality results are derived under generalized class of second order (F, ${\alpha}$, ${\rho}$, $d$)-V-type I functions. Also, we have illustrated through non-trivial examples that class of second order (F, ${\alpha}$, ${\rho}$, $d$)-V-type I functions extends the definitions of generalized convexity appeared in the literature.

STABILITY OF THE MILSTEIN METHOD FOR STOCHASTIC DIFFERENTIAL EQUATIONS WITH JUMPS

  • Hu, Lin;Gan, Siqing
    • Journal of applied mathematics & informatics
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    • v.29 no.5_6
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    • pp.1311-1325
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    • 2011
  • In this paper the Milstein method is proposed to approximate the solution of a linear stochastic differential equation with Poisson-driven jumps. The strong Milstein method and the weak Milstein method are shown to capture the mean square stability of the system. Furthermore using some technique, our result shows that these two kinds of Milstein methods can well reproduce the stochastically asymptotical stability of the system for all sufficiently small time-steps. Some numerical experiments are given to demonstrate the conclusions.

A Study of viewing angle characteristics of the film compensated TN mode

  • Park, Chi-Hyuck;Kim, Eui-Man;Lee, Jang-Ho;Park, Cheol-Woo;Lee, Kyung-Ho
    • 한국정보디스플레이학회:학술대회논문집
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    • 2009.10a
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    • pp.1462-1465
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    • 2009
  • Because of its weak points that narrow viewing angle and grayscale inversion, 'bare' twisted nematic (TN) LCD has some limits to use as a display device, though its great strong points that low cost, high yield, simple design, high transmittance and normally white. The 'WideView(WV)' film which introduced by Fuji co., has been good solution to extend the viewing angles of TN mode, therefore that film have been used generally for TN panels needed wide viewing angle. This paper introduce the research to find the parameters of the Wide view film and a TN panel which affect viewing angle characteristics and how to adjust those parameters.

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Effect of Particle Pre-Treatment on Properties of Jatropha Fruit Hulls Particleboard

  • Iswanto, Apri Heri;Febrianto, Fauzi;Hadi, Yusuf Sudo;Ruhendi, Surdiding;Hermawan, Dede;Fatriasari, Widya
    • Journal of the Korean Wood Science and Technology
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    • v.46 no.2
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    • pp.155-165
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    • 2018
  • The objective of the research was to evaluate the effect of particle pre-treatment on physical, mechanical, and durability of jatropha fruit hulls (JFH) particleboard. The pre-treatments included were immersing in cold water, hot water, and acetic acid solution. After each treatment, the particles were dried up to 3% moisture content. Urea-formaldehyde (UF) resin was used to fabricate particleboards with board size, thickness and density target of 25 cm by 25 cm, 0.80 cm, and $0.70g/cm^3$, respectively. Board pressed at $130^{\circ}C$ for 10 minutes, and $25kg/cm^2$ pressure. The evaluation of particleboard followed the JIS A 5908-2003. Whilist their resistance to subterranean termite test (mass loss, mortality, antifeedant value and feeding rate) refers to the Indonesian standard (SNI 01.7207-2006). The physical and mechanical properties of particleboards showed that all pre-treatments decreased the pH of particles. Overall, all particle immersing treatments resulted of better physical and mechanical properties of particleboard than those of untreated ones. The acetic acid treatment resulted the best physical and mechanical properties of particleboard. Based on the mass loss of JFH particleboard, hot water and acetic acid treated particleboards were classified into weak resistance to subterranean attack. The other two treatments were classified into very weak resistance. Hot water treated particleboard provided the highest mortality and antifeedant as much as 87.40% and 34.20%, respectively. Based on antifeedant classification, hot water treated particleboards were classified into moderately strong resistance, while other treatments were categorized into weak resistance. The lowest feeding rate value ($45.30{\mu}g/termite/day$) was attained by hot water treatment.

Synthesis of Iron Oxide Using Ferrous Sulfate and Ammonia Water (황산제일철과 암모니아수를 이용한 산화철 합성)

  • Kim, Sam-Joong;Eom, Tae-Hyoung;Wang, Wei;Suhr, Dong-Soo
    • Korean Journal of Materials Research
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    • v.18 no.4
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    • pp.218-221
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    • 2008
  • A $Fe(OH)_2$ suspension was prepared by mixing iron sulfate and a weak alkali ammonia solution. Following this, iron oxides were synthesized by passing pure oxygen through the suspension (oxidation). The effects of different reaction temperatures ($30^{\circ}C$, $50^{\circ}C$, $70^{\circ}C$) and equivalent ratios ($0.1{\sim}10.0$) on the formation of iron oxides were investigated. An equilibrium phase diagram was established by quantitative phase analysis of the iron oxides using the Rietveld method. The equilibrium phase diagram showed a large difference from the equilibrium phase diagram of Kiyama when the equivalent ratio was above 1, and single $Fe_3O_4$ phase only formed above an equivalent ratio 2 at all reaction temperatures. Kiyama synthesized iron oxide using iron sulfate and a strong alkali NaOH solution.

Finite Element Analysis of Exterior R.C. Beam-Column Joints Containing Headed Bars utilized for Enhanced Seismic Performance (Headed bar를 사용한 외부 철근 콘크리트 보-기둥 접합부의 강화된 내진 성능에 대한 유한요소해석)

  • Bang, Suk;Lee, Joo-Ha;Yoon, Young-Soo
    • Proceedings of the Korea Concrete Institute Conference
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    • 2004.05a
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    • pp.506-509
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    • 2004
  • This paper proposes Headed bar as reinforcement of beam-column joint, and proves seismic performance and reduction of reinforcement congestion. In these case, the use of Headed bars have obvious advantages. The greatest benefit of using Headed bars is not only improved structural performance of beam-column joints, but also the ease of fabrication, construction, and placement. Three-dimensional finite element analysis model is compared with test program which was fulfilled by the proposed model with Headed bar. Also, the plastic hinge region is relocated to the center of the longitudinal beam length according to the strong column-weak beam design philosophy, so Headed bar is used as the joint reinforcement. Therefore, this paper presents results of a computer analysis of a practical solution for relocating potential beam plastic hinge regions by the placing of straight - Headed bar.

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Modeling the electric transport of HCl and H3PO4 mixture through anion-exchange membranes

  • Koter, Stanislaw;Kultys, Monika;Gilewicz-Lukasik, Barbara
    • Membrane and Water Treatment
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    • v.2 no.3
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    • pp.187-205
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    • 2011
  • The electric transport of the mixture of hydrochloric and phosphoric acids through strong base (Neosepta ACM) and weak base (Selemion AAV) anion-exchange membranes was investigated. The instantaneous efficiency of HCl removal from the cathode solution, $CE_{Cl}$, with and without $H_3PO_4$ was determined. It was found that $CE_{Cl}$ was 0.8-0.9 if the number of moles of elementary charge passed through the system, $n_F$, did not exceed ca. 80% of the initial number of HCl moles in the cathode solution, $n_{Cl,ca,0}$. The retention efficiency of $H_3PO_4$ in that range was close to one. The transport of acid mixtures was satisfactorily described by a model based on the extended Nernst-Planck and Donnan equations for $n_F$ not exceeding $n_{Cl,ca,0}$. Among the tested model parameters, most important were: concentration of fixed charges, the porosity-tortuosity coefficient, and the partition coefficient of an undissociated form of $H_3PO_4$. For the both membranes, the obtained optimal values of fixed charge concentration, $\bar{c}_m$, were up to 40% lower than the literature values of $\bar{c}_m$ obtained from the equilibrium measurements. Regarding the $H_3PO_4$ equilibria, it was sufficient to consider $H_3PO_4$ as a monoprotic acid.

Probing Understanding of Acid and Base Concepts of the 3rd-Grade Students in Middle School (중학교 3학년 학생들의 산 · 염기 개념 이해조사)

  • Kang, Soon Hee;Cho, Sung Ah
    • Journal of the Korean Chemical Society
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    • v.43 no.6
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    • pp.707-719
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    • 1999
  • This article studies the understanding of acid and base concepts of the 3rd-grade students in middle school. An effective teaching strategy for improving their acid and base concepts was designed by considering students' prior knowledge using Lawson's learning cycle method. The control group was adapted by the traditional teaching strategy which isn't considering students' prior knowledge. After the class, understanding of acid and base concepts of treatment group was significantly higher than that of control group. But the level of students' understanding of strong acid, weak acid strong base and the strength of acid in aqueous solution was low even after the class of two groups. This indicates indirectly that the microscopic views of acid and base concepts in aqueous solution are not easy to learn for these students. For the four categories of acid and base concepts, students' responses were reviewed carefully and classified into scientific conceptions and misconceptions. These results will be useful for developing an effective teaching strategy of acid and base concepts.

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Regulation of Anthocyanin Biosynthesis by Light and Nitrogen in Sarracenia purpurea (Sarracenia purpurea에서 빛 및 질소 의존성 anthocyanin 생합성)

  • Yoon, Joon Sup;Lee, Seung hi;Riu, Young Sun;Kong, Sam-Geun
    • Journal of Life Science
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    • v.29 no.10
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    • pp.1055-1061
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    • 2019
  • Sarracenia purpurea as a carnivorous plant in the family Sarraceniaceae is known to require strong light for its growth and to absorb nutrients from the decomposed molecules of insects that are attracted by color, sweet juice, and the like. S. purpurea grew greenish in whole body under weak light conditions, while the whole of the insectivorous sac including leaves, is changed to dark red under strong light conditions. The phenomenon of reddish S. purpurea is thought to be related to the flavonoid pigment anthocyanin. Interestingly, the color change was not observed when S. purpurea was grown in a growth condition with abundant nitrogen fertilizer. The expression levels of anthocyanin contents and biosynthesis-related genes were strongly correlated with light intensity and nitrogen fertilizer. The anthocyanin content in the strong light condition ($240{\mu}mol\;m^{-2}s^{-1}$) was 6.15 times higher than that in the weak light ($40{\mu}mol\;m^{-2}s^{-1}$). In contrast, the anthocyanin contents were not significantly changed when 0.8% urea solution was supplied as nitrogen fertilizer. Consistently, CHALCONE SYNTHASE (CHS) gene was up-regulated by strong light and down-regulated by nitrogen fertilizer. These results suggest that the environmental changes of light and nitrogen in soil regulate the anthocyanin content in S. purpurea.

EVALUATION OF SODIUM DICHLOROISOCYANURATE AS A ROOT CANAL IRRIGATION SOLUTION;Cl- CONCENTRATION, pH, CYTOTOXICITY AND ANTIMICROBIAL EFFECT IN VITRO (이염화이소시아뉼산나트륨 제재의 근관세척액 사용 가능성 평가;염소이온농도, 세포독성, 항균성 및 pH)

  • Lee, Woo-Cheol;Kang, Bong-Sun;Kim, Cheol-Ho;Son, Ho-Hyun
    • Restorative Dentistry and Endodontics
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    • v.28 no.5
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    • pp.425-430
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    • 2003
  • The purpose of this study was to evaluate the clinical applications of the Sodium Dichloroisocyanurate effervescent tablet as a routine root canal irrigant by performing several in vitro tests such as $Cl^{-}$ content. cytotoxicity. antimicrobial effect as well as its pH level compared to the equivalent concentration of sodium hypochlorite solution. 1. Sodium Dichloroisocyanurate demonstrated lower level of $Cl^{-}$ concentration than each dilution of sodium hypochlorite solution. Both solution has increased level of $Cl^{-}$ as the concentration of each solution increased. There was no significant change of $Cl^{-}$ concentration in sodium hypochlorite as time goes by. However. $Cl^{-}$ concentration in Sodium Dichloroisocyanurate was increased. 2. The antimicrobial effects of both solutions were increased when their concentrations were increased. One day after dilution. antimicrobial effect of Sodium Dichloroisocyanurate was slightly higher than sodium hypochlorite. however. there was no difference in 1 week dilution solution. One month dilution solution of sodium hypochlorite still retain its activity. but antimicrobial effect of Sodium Dichloroisocyanurate was drastically decreased 1 month after dilution. 3. The cytotoxicity of Sodium Dichloroisocyanurate was rather higher than same concentration of sodium hypochlorite solution until 1 week after dilution. Then in 1 month. cytotoxicity of Sodium Dichloroisocyanurate was decreased than that of 1 week dilution solution. especially 4% Sodium Dichloroisocyanurate solution has almost no toxicity. However. 1% and 2% sodium hypochlorite solution has unchanged moderate degree of cytotoxicity after the dilution. Furthermore. 4% sodium hypochlorite solution showed high level of toxicity. 4. The pH level of Sodium Dichloroisocyanurate showed that the solution was weak acid (pH5). On the other hand. sodium hypochlorite was revealed as a strong alkaline solution (pH12). There was no change in pH following the dilution of each solution. As results. Sodium Dichloroisocyanurate solution fully satisfy the basic requirements as a root canal irrigation solution. However. we strongly recommend to use this solution clinically in low concentration and try to apply into the root canal within 1 week after dilution.