• Title/Summary/Keyword: 법칙

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The Analysis of Korean Elementary Mathematics Textbooks and Workbooks with Respect to Distributive Principles (우리나라 초등학교 수학교과서에서 제시된 분배법칙 지도내용 분석)

  • Kim, Mi Hwan;Lee, Soo Eun;Kim, Soo Mi
    • Journal of Educational Research in Mathematics
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    • v.27 no.3
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    • pp.451-467
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    • 2017
  • This study examined how the distributive principles(DP) works in our elementary school textbooks and work books to figure out the implications for developing the elementary mathematics curriculum and textbooks. For this purpose, Chinese and Japanese elementary textbooks were reviewed and five criteria for the analysis of Korean textbooks and workbooks were prepared by the review. The analysis showed that Korean textbooks and work books are inefficient to handle DP in many ways. Based on these findings, this study suggested that the DP should be codified into the curriculum and explicitly dealt with in elementary math textbooks.

Guidance Law to Control Impact-Time-And-Angle Using Time-Varying Gains (시변 이득을 이용한 비행시간 및 충돌각 제어 유도법칙)

  • Lee, Jin-Ik;Jeon, In-Soo
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.35 no.7
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    • pp.633-639
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    • 2007
  • This paper presents a new homing guidance law based on well-known BPN to achieve an impact time constraint as well as an impact angle constraint. The guidance commands are synthesized by introducing an additional command to control impact-time. The structure of the additional command has a BPN-based loop multiplied by time-varying gains being proportional to the time difference between the required time-to-go and the estimated time-to-go by BPN. Moreover, the proposed homing loop converges to BPN as the time-to-go error is reduced. The performance of the proposed guidance law is evaluated by the computer simulations.

A Study of the Or rule to reduce decision time of Primary User at the Cognitive radio (인지 통신에서 1차 사용자의 판단 시간을 줄이기 위한 Or 기법의 연구)

  • Choi, Moon-Geun;Kong, Hyung-Yun
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.10 no.5
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    • pp.161-166
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    • 2010
  • Conventional Or Rule decide final sensing result depending on all of SU making sensing result. So Conventional Or Rule must be combined all of local result to decide PU absent or not. But Proposed Or Rule is not needed all of local result depending on each of SU of local result. So Proposed Or Rule can reduce decision time. In this Paper, we verify proposed Or Rule using simulation tool similar with matlab. And we can calculate false alarm probability and miss detection probability of proposed Or rule and conventional Or rule.

Suboptimal Homing Guidance Law by Synthesis of the Aided Loop for Impact Angle Constraint (충돌각 구속조건을 위한 보조루프 합성을 통한 준최적 호밍 유도법칙)

  • Lee, Jin-Ik
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.35 no.11
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    • pp.1006-1012
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    • 2007
  • In this paper, a suboptimal homing guidance law for the homing missiles with an impact angle constraint is presented. Unlike general LQ optimal control, the aided loop ensuring some degrees of freedom for the constraint is introduced. Then an optimal feedback loop in consideration of the aided loop is designed by using Schwartz inequality. The aided loop is synthesized with the optimal control to produce the guidance command. Furthermore, to investigate the characteristics of the guidance law we carry out the comparative studies with other guidance laws. The results of the various computer simulations show the good performance of the proposed law.

A Study on Teaching Methods of Extension of Cosine Rule Using Analogy (유추를 활용한 코사인 법칙의 일반화 지도방안)

  • Kim, Sungsoo;Park, Dal-Won
    • Journal of the Korean School Mathematics Society
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    • v.16 no.4
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    • pp.927-941
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    • 2013
  • In this paper, we investigate and analysis high school students' generalization of cosine rule using analogy, and we study teaching and learning methods improving students' analogical thinking ability to improve mathematical thinking process. When students can reproduce what they have learned through inductive reasoning process or analogical thinking process and when they can justify their own mathematical knowledge through logical inference or deductive reasoning process, they can truly internalize what they learn and have an ability to use it in various situations.

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Aircraft Collision-Avoidance/Guidance Strategy in Dynamic Environments for Planar Flight (2차원 평면에서 이동장애물에 대한 항공기의 유도/회피기동 연구)

  • Rhee, Ihn-Seok
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.32 no.7
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    • pp.69-75
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    • 2004
  • An avoidance/guidance problem of an aircraft against moving obstacle is considered in two dimensional space. The aircraft is modelled as a point mass flying with constant speed. The lateral acceleration is assumed the control input. Artificial potential functions are applied to the terminal point and moving obstacles in order that repulsive forces and an attractive force are produced by the obstacles and the terminal point respectively. A real time guidance/avoidance law is proposed by using the potential forces and relative velocity. The guidance law for a logarithm potential function results the well-known proportional navigation law. The avoidance control command is inverse proportional to the time-to-go to the obstacle and turns the aircraft toward the negative direction of the line-of-sight change. The performance of the proposed guidance/avoidance law is verified with simulations.

On the Tail Series Laws of Large Numbers for Independent Random Elements in Banach Spaces (Banach 공간에서 독립인 확률요소들의 Tail 합에 대한 대수의 법칙에 대하여)

  • Nam Eun-Woo
    • The Journal of the Korea Contents Association
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    • v.6 no.5
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    • pp.29-34
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    • 2006
  • For the almost certainly convergent series $S_n=\sum_{i=1}^nV-i$ of independent random elements in Banach spaces, by investigating tail series laws of large numbers, the rate of convergence of the series $S_n$ to a random variable s is studied in this paper. More specifically, by studying the duality between the limiting behavior of the tail series $T_n=S-S_{n-1}=\sum_{i=n}^{\infty}V-i$ of random variables and that of Banach space valued random elements, an alternative way of proving a result of the previous work, which establishes the equivalence between the tail series weak law of large numbers and a limit law, is provided in a Banach space setting.

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Formulations of the Law of Demeter in the Object Oriented Programming (객체지향 프로그래밍에서의 Demeter 법칙의 정식화)

  • Hwang, Seok-Hyeong;Lee, Yong-Geun;Yang, Hae-Sul
    • The Transactions of the Korea Information Processing Society
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    • v.1 no.1
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    • pp.63-72
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    • 1994
  • In the last years, several articles have been devoted to the study of the Law of Demeter in the object oriented programming. The Law of Demeter is a style rule that aims at eliminating unnecessary coupling among classes. Although a large number of studies have been made on the informal definitions, little is known about the formulation of the Law of Demeter. In this article, we define three relationships among classes i.e. inheritance, aggregation and association, and formulate the Law of Demeter. We also propose the algorithms to decide whether a given program satisfies the law and to transform an unfulfilled program into a fulfilled one.

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Eine Verstaendnis fuer die Si Dan(四端) in dem Mengtzu unter dem Gesichtspunkt der Bedeutung des Abbruchs der Selbstliebe in der Kriktik der praktischen Vernunft (『실천이성비판』의 자기 사랑의 단절 의미로 읽어본 『맹자』의 사단(四端))

  • Hwang, Soon-u
    • Journal of Korean Philosophical Society
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    • v.116
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    • pp.465-484
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    • 2010
  • In diesem Aufsatz werden die Si Dan(四端) in dem Mengtzu durch die Bedeutung des Abbruchs der Selbstliebe in der Kriktik der praktischen Vernunft projiziert und gelesen. Fuer Kant ist die Befriedigung der Neigungen die subjektiven Bestimmungsgruenden seiner Willkuer. Nach ihnen macht sich selbst das allgemeine Prinzip der Selbstliebe die eigene Glueckseligkeit "zum objektiven Bestimmungsgrund." Das moralische Gesetz schlaegt jenes subjektive Prinzip der Selbstliebe nieder, und das bedeutet die Si Dan(四端) in dem Mentzu. Die Si Dan sind die Bestimmungsgruende der menschlichen Wesen. Das Subjekt des moralischen Gesetzes bricht deswegen seine Selbstliebe ab und richtet sich an sozialen Gemeinschaft, weil die Selbstlibe fuer den Individualismus.

A study on applicability of the digit frequency analysis to Hydrological Data (수문학적 데이터의 자릿수 빈도 분석 적용가능성 연구)

  • Jung Eun Park;Seung Jin Maeng;Kwang Suop Lim
    • Proceedings of the Korea Water Resources Association Conference
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    • 2023.05a
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    • pp.102-102
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    • 2023
  • 벤포드 법칙(Benford's Law)은 실생활에서 관찰되는 수치 데이터를 첫 자리 숫자에 따라 분류할 때 첫 자리의 숫자가 커질수록 그 분포가 점차 감소되는 현상을 말한다. 이러한 벤포드 법칙은 일반식으로 도출하여 다양한 자릿수로 확장하여 적용할 수 있는 연구결과가 제시되었으며, 회계학, 사회과학, 물리학, 컴퓨터과학, 생물학 등 다방면의 수치 자료에서 그 유효성이 확인되고 있다. 자릿수의 관찰빈도를 분석하는 것만으로 많은 양의 실생활 데이터에서 빠르고 쉽게 데이터 조작여부를 탐지하거나 1차적인 데이터 품질검사에 효과적으로 활용되고 있다. 본 연구에서는 다학제적 연구의 측면에서 수학·물리적 법칙인 벤포드 법칙을 일유량 등 다양한 수문학 측정자료에 적용하여 그 적용가능성을 확인하고 자료의 불균질성과 신뢰성을 빠르게 탐지할 수 있는 방법론을 제시하고자 한다. 수문자료는 공인심의를 통해 자료의 신뢰도를 확보하고 있으나 확정·배포까지 약 2년이 소요되어 활용기간 단축에 대한 사용자 요구가 지속되고 있는 실정이다. 따라서 본 연구에서는 분석대상 데이터의 자릿수 관찰빈도가 벤포드 법칙에 의한 예상자릿수 빈도를 따르는지 여부에 대한 가설을 설정하고 카이제곱 검정 또는 Kolmogorov-Smirnov(K-S) 검정 등을 통해 적합도에 대한 통계적 유의미함을 분석함으로써 대략적으로나마 빠르고 쉽게 측정자료의 신뢰성을 판단할 수 있다. 본 연구는 다양한 학문과의 결합을 통한 새로운 접근을 시도함으로써 빅데이터 시대에 효과적으로 수자원의 개발, 관리 및 운영의 의사결정을 하는데 도움이 될 수 있을 것으로 판단된다.

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