• Title/Summary/Keyword: the objects of the connection

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An Analysis of the Objects and Methods of Mathematical Connections in Elementary Mathematics Instruction (초등학교 수학 수업에 나타난 수학적 연결의 대상과 방법 분석)

  • Kim, YuKyung;Pang, JeongSuk
    • The Mathematical Education
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    • v.51 no.4
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    • pp.455-469
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    • 2012
  • Given the importance of mathematical connections in instruction, this paper analyzed the objects and the methods of mathematical connections according to the lesson flow featured in 20 elementary lessons selected as effective instructional methods by local educational offices in Korea. Mathematical connections tended to occur mainly in the introduction, the first activity, and the sum-up period of each lesson. The connection between mathematical concept and procedure was the most popular followed by the connection between concept and real-life context. The most prevalent method of mathematical connections was through communication, specifically the communication between the teacher and students, followed by representation. Overall it seems that the objects and the methods of mathematical connections were diverse and prevalent, but the detailed analysis of such cases showed the lack of meaningful connection. These results urge us to investigate reasons behind these seemingly good features but not-enough connections, and to suggest implications for well-connected mathematics teaching.

Recovery of the connection relationship among planar objects

  • Yao, Fenghui;Shao, Guifeng;T amaki, Akikazu;Kato, Kiyoshi
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.430-433
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    • 1996
  • The shape of an object plays a very important role in pattern analysis and classification. Roughly, the researches on this topic can be classified into three fields, i.e. (i) edge detection, (ii) dominant points extraction, and (iii) shape recognition and classification. Many works have been done in these three fields. However, it is very seldom to see the research that discusses the connection relationship of objects. This problem is very important in robot assembly systems. Therefore, here we focus on this problem and discuss how to recover the connection relationship of planar objects. Our method is based on the partial curve identification algorithm. The experiment results show the efficiency and validity of this method.

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ON GENERALIZED SHEN'S SQUARE METRIC

  • Amr Soleiman;Salah Gomaa Elgendi
    • Korean Journal of Mathematics
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    • v.32 no.3
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    • pp.467-484
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    • 2024
  • In this paper, following the pullback approach to global Finsler geometry, we investigate a coordinate-free study of Shen square metric in a more general manner. Precisely, for a Finsler metric (M, L) admitting a concurrent π-vector field, we study some geometric objects associated with ${\widetilde{L}}(x, y)={\frac{(L+{\mathfrak{B}}^2)}L}$ in terms of the objects of L, where ${\mathfrak{B}}$ is the associated 1-form. For example, we find the geodesic spray, Barthel connection and Berwald connection of ${\widetilde{L}}(x,y)$. Moreover, we calculate the curvature of the Barthel connection of ${\tilde{L}}$. We characterize the non-degeneracy of the metric tensor of ${\widetilde{L}}(x,y)$.

The Existence of Mathematical Objects and Contingency (수학적 대상의 존재와 우연성)

  • Choi, Won-Bae
    • Korean Journal of Logic
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    • v.12 no.2
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    • pp.1-29
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    • 2009
  • According to Field, mathematical objects do not exist but they might have existed. In this paper I examine how persuasive this 'contingent' nominalism could be. For this I give a detailed analysis of the recent debate on the contingency of mathematical objects. I argue that the putative connection between contingency and explanation could still be sustained, but an independent argument is needed in order to support a general principle underlying the connection. I show that the attacks based on the anti-insularity principles already reflect their own positions on the modal status of the existence of mathematical objects.

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GLOBAL THEORY OF VERTICAL RECURRENT FINSLER CONNECTION

  • Soleiman, Amr
    • Communications of the Korean Mathematical Society
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    • v.36 no.3
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    • pp.593-607
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    • 2021
  • The aim of the present paper is to establish an intrinsic generalization of Cartan connection in Finsler geometry. This connection is called the vertical recurrent Finsler connection. An intrinsic proof of the existence and uniqueness theorem for such connection is investigated. Moreover, it is shown that for such connection, the associated semi-spray coincides with the canonical spray and the associated nonlinear connection coincides with the Barthel connection. Explicit intrinsic expression relating this connection and Cartan connection is deduced. We also investigate some applications concerning the fundamental geometric objects associated with this connection. Finally, three important results concerning the curvature tensors associated to a special vertical recurrent Finsler connection are studied.

Implementation of TINA CM Package Functionning as Connection Setup and Release (TINA 연결관리 패키지의 연결 설정 및 해제 기능 구현)

  • Park, Jun-Hee;Oh, Hyun-Ju;Kim, Sang-Ha
    • The Transactions of the Korea Information Processing Society
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    • v.4 no.9
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    • pp.2391-2402
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    • 1997
  • TINA is the Open Networking Architecture which as newly introduced software architecture shares the network managements and the service managements on the Distributed Processing Environment. In this paper, based on the concepts and principles defined up to now, we implement and test the CM(Connection Management) Package included in CM which is one of the six functional areas into which TINA Management Architecture is devided. Before the implementation we learn the basic concepts accepted by the four architectures in TINA, and medelling concept of the CM. The interfaces of eaxh information objects explain the functions of computational objects implemented, and the message flows among the computational objects show the connection setup and release procedures.

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An Art-Robot Expressing Emotion with Color Light and Behavior by Human-Object Interaction

  • Kwon, Yanghee;Kim, Sangwook
    • Journal of Multimedia Information System
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    • v.4 no.2
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    • pp.83-88
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    • 2017
  • The era of the fourth industrial revolution, which will bring about a great wave of change in the 21st century, is the age of super-connection that links humans to humans, objects to objects, and humans to objects. In the smart city and the smart space which are evolving further, emotional engineering is a field of interdisciplinary researches that still attract attention with the development of technology. This paper proposes an emotional object prototype as a possibility of emotional interaction in the relation between human and object. By suggesting emotional objects that produce color changes and movements through the emotional interactions between humans and objects against the current social issue-loneliness of modern people, we have approached the influence of our lives in the relation with objects. It is expected that emotional objects that are approached from the fundamental view will be able to be in our lives as a viable cultural intermediary in our future living space.

Connection Control and Network Management of OBS with GSMP Open Interface (GSMP 개방형 인터페이스 기반의 OBS 연결 제어 및 망 관리 메커니즘)

  • Choi In-Sang;Kim Choon-Hee;Cha Young-Wook;Kwon Tae-Hyun
    • Journal of Korea Multimedia Society
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    • v.9 no.1
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    • pp.89-100
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    • 2006
  • The introduction of GSMP open interface to OBS network can materialize to separate the transport plane and the control plane in OBS network. This makes the implementation of OBS switches simple and provides various flexibility. However, the introduction of open interface will cause the connection setup delay because of the additional processing overhead of open interface protocol. Also, in GSMP based network, the location of network management functions are not defined explicitly and the research result about the OBS network management is almost nothing. This paper proposes a parallel connection setup mechanism using centralized connection control server to minimize connection setup delay in OBS network with GSMP open interface and defines managed objects to support connection, configuration, performance, and fault management for the management of OBS network with GSMP open interface. This paper also proposes a distributed network management model, in which the above managed objects are distributed in a controller and an OBS switch according to network management functions. We verify the possibility of OBS control and network management by implementing network management function using proposed parallel connection setup mechanism and distributed network management model.

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DETECTING INTERSTELLAR OBJECTS BY USING SPACE WEATHER DATA (우주기상 데이터를 활용한 성간천체 탐색)

  • Ryun Young Kwon;Minsun Kim;Sungwook E. Hong;Thiem Hoang
    • Publications of The Korean Astronomical Society
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    • v.38 no.2
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    • pp.91-98
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    • 2023
  • We present a novel method that can enhance the detection success rate of interstellar objects. Interstellar objects are objects that are not gravitationally bound to our solar system and thus are believed to have originated from other planetary systems. Since the finding of two interstellar objects, 1l/'Oumuamua in 2017 and 2l/Borisov in 2019, much attention has been paid to finding new interstellar objects. In this paper, we propose the use of Heliospheric Imagers (HIs) for the survey of interstellar objects. In particular, we show HI data taken from Solar TErrestrial RElation Observatory/Sun Earth Connection Coronal and Heliospheric Investigation and demonstrate their ability to detect 'Oumuamua-like interstellar objects. HIs are designed to monitor and study space weather by observing the solar wind traveling through interplanetary space. HIs provide the day-side observations and thus it can dramatically enlarge the observable sky range when combined with the traditional night-side observations. In this paper, we first review previous methods for detecting interstellar objects and demonstrate that HIs can be used for the survey of interstellar objects.