• Title/Summary/Keyword: Point interactions

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ON THE APPROXIMATION BY REGULAR POTENTIALS OF SCHRÖDINGER OPERATORS WITH POINT INTERACTIONS

  • Galtbayar, Artbazar;Yajima, Kenji
    • Journal of the Korean Mathematical Society
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    • v.57 no.2
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    • pp.429-450
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    • 2020
  • We prove that wave operators for Schrödinger operators with multi-center local point interactions are scaling limits of the ones for Schrödinger operators with regular potentials. We simultaneously present a proof of the corresponding well known result for the resolvent which substantially simplifies the one by Albeverio et al.

Designing Technology for Visualisation of Interactions on Mobile Devices

  • Deray, Kristine;Simoff, Simeon
    • Journal of Computing Science and Engineering
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    • v.3 no.4
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    • pp.218-237
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    • 2009
  • Interactions are intrinsic part of what we do. We interact when we work, when we learn, when we visit a doctor, and when we play. With the advent of information and communications technology we can collect rich data (video, audio, and various transcripts including text chat) about such interactions. This opens an opportunity to monitor the dynamics of interactions and to get deeper insights of how they unfold and deliver this information to the interacting parties. This paper presents the design of a technology for visualising information about the dynamics of unfolding of interactions and presenting it in an ambient display on mobile devices. The purpose of this technology is the delivery of such information to the point of decision making.

MATHEMATICAL MODELING FOR THE OBESITY DYNAMICS WITH PSYCHOLOGICAL AND SOCIAL FACTORS

  • Kim, Sehjeong;Kim, So-Yeun
    • East Asian mathematical journal
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    • v.34 no.3
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    • pp.317-330
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    • 2018
  • We develop a mathematical model for the obesity dynamics to investigate the long term obesity trend with the consideration of psychological and social factors due to the increasing prevalence of obesity around the world. Many mathematical models for obesity dynamics adopted the modeling idea of infectious disease and treated overweight and obese people infectious and spreading obesity to normal weight. However, this modeling idea is not proper in obesity modeling because obesity is not an infectious disease. In fact, weight gain and loss are related to social interactions among different weight groups not only in the direction from overweight/obese to normal weight but also the other way around. Thus, we consider these aspects in our model and implement personal weight gain feature, a psychological factor such as body image dissatisfaction, and social interactions such as positive support on weight loss and negative criticism on weight status from various weight groups. We show that the equilibrium point with no normal weight population will be unstable and that an equilibrium point with positive normal weight population should have all other components positive. We conduct computer simulations on Korean demography data with our model and demonstrate the long term obesity trend of Korean male as an example of the use of our model.

Phase Behavior of Ternary Mixture of Poly(ethylene-co-octene) - Ethylene - 1-Octene (Poly(ethylene-co-octene) - Ethylene - 1-Octene 3성분계 혼합물의 상거동)

  • Lee, Sang-Ho;Sohn, Jin-Eun;Chung, Sung-Yoon;Han, Sang-Hoon
    • Elastomers and Composites
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    • v.41 no.2
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    • pp.116-124
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    • 2006
  • Cloud-point data to $160^{\circ}C$ and 1,000 bar are presented with poly(ethylene-co-15.3 mole% octene) copolymers ($PEO_{15}$) in pure 1-octene and mixtures of ethylene - 1-octene. The cloud-point curves for $PEO_{15}$ - ethylene - 1-octene mixture dramatically increase in pressure to as high as 1,000 bar with an increasing ethylene concentration. At ethylene concentrations less than 18 wt%, the ternary mixture has bubble- and cloud-point curves. As the ethylene concentration of the ternary mixture increases, the bubble-point curve and the single-phase region reduce. The reduction in the single phase region with increasing ethylene concentrations is the result of reduced dispersion interactions between $PEO_{15}$ and the mixed solvent. The single-phase region decreases with increasing temperatures when ethylene concentrations are lower than 36 wt%, whereas the single-phase region increases with temperatures at ethylene concentrations greater than 50 wt%. At ethylene concentrations greater than 50 wt% the effect of the polar interactions of the mixed solvent, which is unfavorable to dissolve PEO, is greater than the effect of the density of the mixed solvent. Therefore, the cloud-point pressures increase with a decreasing temperature. However, at ethylene concentrations less than 50 wt%, the cloud-point pressures decrease with temperature, because the effect of the polar interactions is less than the density effect.

A Study on the Application of Minimum Reinforcement Ratio in Pile-Bent structure (단일형 현장타설말뚝의 최소 철근비 적용을 위한 연구)

  • Kim, Jae-Young;Jeong, Sang-Seom
    • Proceedings of the Korean Geotechical Society Conference
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    • 2010.09b
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    • pp.122-130
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    • 2010
  • In recent days, the foundations of huge structures in general and mega foundations of grand bridges in particular are required in geotechnical engineering. However, previous design method based on virtual fixed point theory cannot adequately predict Pile-Bent structure‘s physical behavior. Therefore, this paper describes a new analysis and design of Pile-Bent structure for grand bridges. A detailed analysis was performed for column-pile interactions using FB-Pier program and Midas program. As a result, the behavior of a column-pile is estimated and highlighted. Moreover, based on this study, it is found that the minimum reinforcement ratio(=0.4%) is applicable for plastic behavior of columns.

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A Study on the Qualities of Infant Day-Care Centers and Caregiver′s Interactions with Infants (영아보육의 실태 및 질적 특성 평가에 기초한 보육의 질 제고)

  • 정옥분;김숙령;권민균
    • Journal of the Korean Home Economics Association
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    • v.42 no.6
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    • pp.123-136
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    • 2004
  • The purposes of this study were to investigate the qualities of infant day-care centers and the caregivers' interactions with infants. Forty-six day-care centers from Seoul, Daejeon, and Daegu were enrolled in this study. Two kinds of methods were used for data collection; one was the Assessment Scale for Infant/Toddler Care Center developed by Choi and the other was the Qualitative Rating Scale for Caregiver used in the NICHD Early Child Care Project. Frequency, percentile, Crollbach's, one-way ANOVA, and Pearson's correlation were calculated for data analysis. Qualities on 5 factors of infant day-care centers were ranged from 3.44∼4.35, the highest with health managing and the lowest with support system in the Likert 5-point scales. Sensitivity, developmental stimulation and positive regard to child, which are the caregiver's positive interactions with infants were rated minimally or usually characteristic. In addition, intrusiveness, detachment, negative regard to child and flatness, which are negative interactions with infants were rated never or minimally characteristic. Finally, some suggestions for good quality and facilitation of infant care were made.

Basic Principles of Drug Interaction (약물상호작용의 원리와 의의)

  • Chun, Boe-Gwun
    • Korean Journal of Biological Psychiatry
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    • v.7 no.1
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    • pp.3-13
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    • 2000
  • There is nothing that is harmless ; the dose alone decides that something is no poison(Paracelsus, 1493-1541). So, in a point of view to maximize the therapeutic efficacy of drug therapy in a way that minimize the drug toxicity, the knowledges of the drug-ineractions as well as the pharmacokinetic and pharmacodynamic principles of every therapeutic drug used in the medical clinic cannot be emphasized too much. Many drug interactions can be predicted if the pharmacokinetic properties, pharmacodynamic mechanisms of action of the interacting drugs are known, and most adverse interactions can be avoided. In this paper, the clinical importance, classification, and general principles of clinical drug-interactions are presentated with a few explanatory examples.

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Phase Behavior Study of Poly(ethylene-co-octene) in normal-Hydrocarbons

  • Kwon, Hyuk-Sung;Lee, Sang-Ho
    • Elastomers and Composites
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    • v.38 no.1
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    • pp.51-56
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    • 2003
  • Cloud-point and bubble-point data to $170^{\circ}C$ and 50 bar are presented for four different solvents, normal pentane. n-hexane, n-heptane, and n-octane with poly(ethylene-co-42 wt% octene) ($PEO_{42}$) copolymer. The pressure-concentration isotherms measured for $PEO_{42}$ - normal pentane have maximums at around 5 wt% of the copolymer concentrations in the solution. $PEO_{42}$- normal pentane system exhibits LCST-type phase behavior at temperatures greater than $130^{\circ}C$. Below $120^{\circ}C$, bubble-point type transitions are observed. However, the binary mixtures for $PEO_{42}$ in n-hexane, n-heptane, and n-octane have only bubble-point type transitions at the pressure-temperature region investigated in this study. The single-phase region of PEO - alkane mixtures increases with the molecular size of alkane solvent due to the increasing dispersion interactions between PEO and the alkane.

Case Study on Verbal Interactions of Teacher-Small Group Students in Science Experiments (과학 실험에서 교사-모둠학생의 언어적 상호작용 사례연구)

  • Seong, Suk-Kyoung;Choi, Byung-Soon
    • Journal of the Korean Chemical Society
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    • v.51 no.4
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    • pp.375-386
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    • 2007
  • The purpose of this study is to investigate the aspects of verbal interactions of teacher?small group students by categorizing those interactions which affect students' thinking thus to improve teacher's interaction. First, verbal interactions of teacher-small group students were divided into two categories ?Behaviors related to problem-solving, and Others. Behaviors related to problem-solving were also classified into two elements?Receiving opinion based on the students' thinking process, and Giving help based on the teacher's thinking process. Receiving opinion consists of agreement, question, correction, objection while giving help consists of information, hint, question, summary, and ask & answer. Most of teacher-small group students' interactions were in the form of teacher's questions and students' answers, and teacher's questions tended to require simple answers rather than answers from deep thought. In addition, there was a tendency that the teacher focused more on her own thinking process than students' and that she interacted with only a couple of students who gave correct answers. As a result, even after teacher's scaffolding, many students were often unable to understand the particular contents. However, through the interactions, the teacher made students to have confidence by restating their opinions and agreeing or praising them. She also created an atmosphere where students can give their opinions freely. From the observation of interactions, we can find that students' thinking process is affected by the characteristics of teacher's interactions such as expression of agreement and encouragement, hint giving rise to thought, interactions based on the students' thinking process, permission of students' activities and questions, allowing time for students' thought, and correction of wrong opinions. At this point, educational implications of teacher-small group students' interactions were drawn.

ALTERNATIVE PROOF OF EXISTENCE THEOREM FOR CERTAIN COMPETITION MODELS

  • Ahn, Inkyung
    • Journal of the Chungcheong Mathematical Society
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    • v.13 no.1
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    • pp.119-130
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    • 2000
  • We give alternative proof of the existence theorem for certain elliptic systems describing competing interactions with nonlinear di usion. The existence of positive solution depends on the sign of the principal eigenvalue of suitable operators of Schr$\ddot{o}$dinger type. If the sign of such operators are both positive, then system has a positive solution. The main tool employed is the fixed point index of compact operator on positive cones.

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