• Title/Summary/Keyword: commensurability

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Pre-Service Elementary Teachers' Visual Modeling Process for Reflection of Light (빛의 반사 현상에 대한 초등 예비교사의 시각적 모델링 과정)

  • Yoon, Hye-Gyoung;Lee, Insun;Park, Jeongwoo
    • Journal of The Korean Association For Science Education
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    • v.41 no.1
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    • pp.19-32
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    • 2021
  • This study aims to analyze the visual modeling process of pre-service elementary teachers on the reflection of light. The analytical framework was developed from three aspects; coherence, correspondence, and commensurability of the modeling thinking proposed by Halloun (2004). 20 pre-service elementary teachers participated and were randomly paired to observe the reflection of light. They were asked to construct the visual model individually at first and then collaboratively. Comparing personal and cooperative models, the level of correspondence and commensurability in some groups has increased, despite the lack of special educational treatment. In addition, three main features were found in their reasoning process. First, the level of commensurability to apply the law of reflection continued to change fluidly depending on the circumstances and often the verbal and visual explanations did not match. Second, in the process of visual modeling, correspondence was often given priority over commensurability and coherence. Third, in a situation where correspondence and commensurability are at odds with each other, participants resolved this conflict and developed reasoning through review and revision of the auxiliary hypothesis. Several implications have been discussed for effectively guiding visual modeling activities.

Proof of the Pythagorean Theorem from the Viewpoint of the Mathematical History (수학사적 관점에서 본 피타고라스 정리의 증명)

  • Choi, Young-Gi;Lee, Ji-Hyun
    • School Mathematics
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    • v.9 no.4
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    • pp.523-533
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    • 2007
  • This article focused the meaning of Pythagoras' and Euclid's proof about the Pythagorean theorem in a historical and mathematical perspective. Pythagoras' proof using similarity is based on the arithmetic assumption about commensurability. However, Euclid proved the Pythagorean theorem again only using the concept of dissection-rearrangement that is purely geometric so that it does not need commensurability. Pythagoras' and Euclid's different approaches to geometry have to do with Birkhoff's axiom system and Hilbert's axiom system in the school geometry Birkhoff proposed the new axioms for plane geometry accepting real number that is strictly defined. Thus Birkhoff's metrical approach can be defined as a Pythagorean approach that developed geometry based on number. On the other hand, Hilbert succeeded Euclid who had pursued pure geometry that did not depend on number. The difference between the proof using similarity and dissection-rearrangement is related to the unsolved problem in the geometry curriculum that is conflict of Euclid's conventional synthetical approach and modern mathematical approach to geometry.

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Optoelectronics based on 2D semiconductor heterostructures

  • Lee, Cheol-Ho
    • Proceedings of the Korean Vacuum Society Conference
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    • 2016.02a
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    • pp.101.1-101.1
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    • 2016
  • Van der Waals (vdW) heterostructures built from two-dimensional layered materials provide an unprecedented opportunity in designing new material systems because the lack of dangling bonds on the vdW surfaces enables the creation of high-quality heterointerfaces without the constraint of atomically precise commensurability. In particular, the ability to build artificial heterostructures, combined with the recent advent of transition metal dichalcogenides, allows the fabrication of unique semiconductor heterostructures in an ultimate thickness limit for fundamental studies as well as novel device applications. In this talk, we will present the characterization of the electronic and optoelectronic properties of atomically thin p-n junctions consisting of vertically stacked WSe2 and MoS2 monolayers. We observed gate-tunable diode-like current rectification and a photovoltaic response across the p-n interface. Unlike conventional bulk p-n junctions, the tunneling-assisted interlayer recombination of the majority carriers is responsible for the tenability of the charge transport and the photovoltaic response. Furthermore, we will discuss the enhanced optoelectronic characteristics in graphene-sandwiched vdW p-n junctions.

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A Transportation Problem with Uncertain Truck Times and Unit Costs

  • Mou, Deyi;Zhao, Wanlin;Chang, Xiaoding
    • Industrial Engineering and Management Systems
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    • v.12 no.1
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    • pp.30-35
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    • 2013
  • Motivated by the emergency scheduling in a transportation network, this paper considers a transportation problem, in which, the truck times and transportation costs are assumed as uncertain variables. To meet the demand in the practical applications, two optimization objectives are considered, one is the total costs and another is the completion times. And then, a multi-objective optimization model is developed according to the situation in applications. Because there are commensurability and conflicting between the two objectives commonly, a solution does not necessarily exist that is best with respective to the two objectives. Therefore, the problem is reduced to a single objective model, which is an uncertain programming with a chance-constrain. After some analysis, its equivalent deterministic form is obtained, which is a nonlinear programming. Based on a stepwise optimization strategy, a solution method is developed to solve the problem. Finally, the computational results are provided to demonstrate the effectiveness of our model and algorithm.

Order-to-disorder Behavior of Block Copolymer Films

  • Ryu, Du-Yeol;Kim, Eun-Hye;Choe, Seung-Hun
    • Proceedings of the Materials Research Society of Korea Conference
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    • 2011.05a
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    • pp.6.2-6.2
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    • 2011
  • Block copolymer (BCP) self-assembly in a film geometry has recently been the focus of increased research interest due to their potential use as templates and scaffolds for the fabrication of nanostructured materials. The phase behavior in a thin film geometry that confines polymer chains to the interfaces will be influenced by the interfacial interactions at substrate/polymer and polymer/air and the commensurability between the equilibrium period (L0) of the BCP and the total film thickness. We investigated the phase transitions for the films of block copolymers (BCPs) on the modified surface, like the order-to-disorder transition (ODT) by in-situ grazing incidence small angle x-ray scattering (GISAXS) and transmission electron microscopy (TEM). The selective interactions on the surface by a PS-grafted substrate provide the preferential interactions with the PS component of the block, while a random copolymer (PS-r-PMMA) grafted substrate do the balanced interfacial interactions on the surface. The thickness dependence of order-to-disorder behavior for BCP films will be discussed in terms of the surface interactions.

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38개의 식쌍성의 공전주기 연구

  • Kim, Cheon-Hwi
    • The Bulletin of The Korean Astronomical Society
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    • v.37 no.2
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    • pp.145.1-145.1
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    • 2012
  • 복잡한 공전주기 변화를 보이면서 극심시각 관측 역사가 40년 이상 되는 38개 식쌍성의 공전주기를 연구하였다. 그 별들의 (O-C) 도를 영년주기 감소(또는 증가)와 광시간 효과를 가정하여 분석한 결과, 잘 정의된 영년 변화와 최소 두 개 이상의 광시간 효과가 겹쳐 있음을 발견하였다. 영년주기 감소율은 $-2.0{\times}10^{-12}d/P$에서 $-9.0{\times}10^{-10}d/P$ 사이에 있고, 증가율은 $6.6{\times}10^{-13}d/P$에서 $1.3{\times}10^{-8}d/P$ 사이에 있다. 광시간 궤도 주기는 약 6년에서 150년 사이에 있다. 두 개의 광시간 궤도의 평균 운동 사이에는 모두 commensurability가 모두 존재한다. 이 결과를 쌍성의 진화 및 궤도공명이란 관점에서 논의한다.

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The General Mass Media System Theory -Based on Theories of Habermas, Luhmann, Delueze, Guattari, and Derrida (하버마스, 루만, 들뢰즈.가타리, 데리다의 이론을 통한 일반 대중매체 체계론의 제안)

  • Park, Daemin
    • Korean journal of communication and information
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    • v.67
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    • pp.119-151
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    • 2014
  • The absence of the commensurable general mass media system theory has been problematic in empirical communication studies. This study first suggests the static mass media system theory based on modified Habermas's two level society, and then develops the dynamic mass media system theory based on the boundary-agencement theory that synthesizes Luhmann's boundary theory and Delueze & Guattari's agencement theory. In the static mass media system theory, the mass media system interpenetrates other social subsystems and the life world as a part of the cultural system coordinated by generalized language media. In the dynamic mass media system theory, the mass media system is a boundary of all social subsystems. The mass media system also articulates its self-referential observations to other-referential observations from other subsystems, mediated interpenetrations between the social subsystems and the life world. Especially, performances in the mass media system deterritorizes social systems to the life world, and reterritorizes the life world to social systems. The general mass media system theory can provide commensurability for various empirical mass media system studies, and prevent biases when researchers choose research topics.

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Concept of Science and Indices of Scientification in the Task of 'Scientification of Korean Medicine' ('한의학 과학화'명제에서 과학의 개념과 과학화의 목록)

  • Chi, Gyoo Yong
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.33 no.6
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    • pp.303-310
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    • 2019
  • In order to search for the causes of having difficulty with the scientification task of the Korean medicine, the definition and conception of science were reviewed first and then formalization of reasoning scheme and a practical method of scientification were proposed. Science in its definition is meant by foundation of method and system for production of scientific knowledge not by knowledge of science itself. The formation of science is composed of complex processes including not only scientific knowledge but also politicosocial output containing activity of scientist society, spreading of social value and intercommunication. The production of scientific knowledge of Korean medicine is begun from logicality of the differential diagnosis and treatment theory through abductive verification of analogical inference by yinyang and 5 phase theory. For the commensurability between the various heterogenic theories within Korean medicine, the scientific activity of collecting, compiling, analyzing, distributing, and discussing the significant knowledge gained through abductive verification in the experiment and clinical process should be formed broadly. Based on these knowledge database, organization of scientist society with Korean medicine, life science, medical engineering, social expansion and generalization of pattern conception, and then social propagation and contribution for national health should be driven forward.

Review on Molecular Simulation of Graphene from a Tribological Perspective (트라이볼로지 관점에서의 그래핀 분자시뮬레이션 연구동향)

  • Kim, Hyun-Joon;Chung, Koo-Hyun
    • Tribology and Lubricants
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    • v.36 no.2
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    • pp.55-63
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    • 2020
  • Recently, graphene has attracted considerable attention owing to its unique electrical, optical, thermal, and mechanical properties. The broad spectrum of applications from optics, sensors, and electronics to biodevice have been proposed based on these properties. In particular, graphene has been proposed as a protective coating layer and solid lubricant for microdevices and nanodevices because of its high mechanical strength, chemical inertness, and low friction characteristics. During the past decade, extensive efforts have been made to explore the tribological characteristics of graphene under various conditions and to expand its applicability. In addition to the experimental approaches, the molecular simulations performed provide fundamental insights into the friction and wear characteristics of graphene resulting from molecular interactions. This work is a review of the studies conducted over the past decade on the tribological characteristics of graphene using molecular simulation. These studies demonstrate the principal mechanisms of the superlubricity of graphene and help clarify the influences of surface conditions on tribological behavior. In particular, the investigation of the effects of the number of layers, strength of adhesion to the substrate, surface roughness, and commensurability provides deeper insights into the tribological characteristics of graphene. These fundamental understandings can help elucidate the feasibility of graphene as a protective coating layer and solid lubricant for microdevices and nanodevices.