• 제목/요약/키워드: Practical Mathematics

검색결과 486건 처리시간 0.022초

Network Attack and Defense Game Theory Based on Bayes-Nash Equilibrium

  • Liu, Liang;Huang, Cheng;Fang, Yong;Wang, Zhenxue
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • 제13권10호
    • /
    • pp.5260-5275
    • /
    • 2019
  • In the process of constructing the traditional offensive and defensive game theory model, these are some shortages for considering the dynamic change of security risk problem. By analysing the critical indicators of the incomplete information game theory model, incomplete information attack and defense game theory model and the mathematical engineering method for solving Bayes-Nash equilibrium, the risk-averse income function for information assets is summarized as the problem of maximising the return of the equilibrium point. To obtain the functional relationship between the optimal strategy combination of the offense and defense and the information asset security probability and risk probability. At the same time, the offensive and defensive examples are used to visually analyse and demonstrate the incomplete information game and the Harsanyi conversion method. First, the incomplete information game and the Harsanyi conversion problem is discussed through the attack and defense examples and using the game tree. Then the strategy expression of incomplete information static game and the engineering mathematics method of Bayes-Nash equilibrium are given. After that, it focuses on the offensive and defensive game problem of unsafe information network based on risk aversion. The problem of attack and defense is obtained by the issue of maximizing utility, and then the Bayes-Nash equilibrium of offense and defense game is carried out around the security risk of assets. Finally, the application model in network security penetration and defense is analyzed by designing a simulation example of attack and defense penetration. The analysis results show that the constructed income function model is feasible and practical.

Reaching Beyond the Science Education Guidelines: Project-Centered Approaches

  • Son, Yeon-A;Shin, Young-Joon;Lee, Yang-Rak;Choi, Don-Hyung
    • 한국과학교육학회지
    • /
    • 제24권1호
    • /
    • pp.29-47
    • /
    • 2004
  • Two project-centered secondary school programs were studied as part of an effort to elucidate successful components for science reform-based curriculum development. The Teachers for Exciting Science (TES), and Foundational Approaches in Science Teaching (FAST) programs in Korea and U.S., respectively, are project-centered programs because their curricula are centered on the activities initiated and engaged in by the students. Students serve as principal investigators in their projects, and teachers serve as guides. Both programs were analyzed based on criteria such as curriculum design, teaching, lives of students, lives of teachers, evaluation of program, from the Third International Mathematics and Science Study (TIMSS). In the programs, teachers and students directed the development of curricula and their implementation. Students assumed teacher roles as mentors of other students. And emphasis was on development of communication skills through student-delivered talks and written papers, and professional development of teachers as educators and scientists. Participation in TES stimulated secondary school student interest in science, encouraged inquiry thinking, increased achievement in learning science, and promoted better awareness of science related to real life. FAST students practice laboratory and field techniques, experimental design, hypothesis formation, generalization, and practical implications of research as academic and applied disciplinarians. These project-centered programs have been successfully implemented in field, lab, and classroom curricula for secondary science education. Comparison of these programs will provide an opportunity for identifying key elements instrumental in successful implementation of guidelines for science education, as measured through successful outcomes.

우리나라 지구물리학의 현황과 미래 전망 (Current Status and Perspectives of Korean Geophysics)

  • 권병두
    • 한국지구물리탐사학회:학술대회논문집
    • /
    • 한국지구물리탐사학회 2007년도 특별 심포지엄 논문집
    • /
    • pp.1-14
    • /
    • 2007
  • This paper briefly reviews the history of the Korean geophysics and analyze the current status of geophysical researches. And the future prospects of geophysics are discussed based on social demands for the science and technology in Korea. About thirty universities offer geophysics courses in their academic curricula. Although the number of Ph.D. graduates in geophysics had been small until the year of 1990, but is rapidly increasing. In recent years about $7{\sim}8$ Ph.D's are produced every year. The major geophysical methods used in Ph.D. theses are seismic, electrical and electromagnetic methods, and earthquake waves and research themes are computational geophysics, which involve data processing, modelling, inversion and tomography, geological structures, and paleomagnetic studies in the order of numbers. The Solid Earth Geophysics is generally distinguished in two categories such as "Global Geophysics" and "Exploration Geophysics". However, they are intimately connected, and overlap in many sectors, especially in large scale research projects. The global geophysics has a more academic and general scientific meaning, and several research groups in Korean universities are carrying out the earthquake seismology and paleomagnetic studies. On the other hand the exploration geophysics focuses on practical application of geophysical concepts, and the public research institutes conduct large projects for exploration of energy and mineral resources and to cope with environmental and natural disaster problems. The geophysical studies for local geology and regional crustal structure utilize various survey methods and usually cover both academic and exploration purposes. The computational geophysics constitutes the indispensable theoretical backgrounds for all geophysical sectors. Many young Korean geophysicists, who have strong background in mathematics and physics, devote to the computational geophysics and several groups have made the internationally highest level achievements. But, Korean geophysicists have to expand their research interests to include more global-scale, high-tech researches and collaborative works with various other science groups.

  • PDF

국내 입양아동의 학업성취수준과 영향 요인 (Factors Affecting the School Achievement of Domestic Adopted Children in Korea)

  • 안재진;최운선;변미희;권지성
    • 한국사회복지학
    • /
    • 제69권3호
    • /
    • pp.141-164
    • /
    • 2017
  • 이 연구의 목적은 국내 공개입양가정에서 성장한 아동들의 학업성취도 수준과 관련 요인들을 밝히고자 하는 것이다. 공개입양가정에서 성장한 아동들의 경우, 그동안 다양한 발달측면에서 관심을 받아왔으나 지금까지 국내입양아동의 학업성취도를 분석한 연구는 없었다. 본 연구에서는 "입양아동발달에 관한 종단연구"의 제5차 양적자료 중 초등학교 4학년 이상인 아동들을 대상으로 분석을 실시하였다. 분석결과, 입양아동들의 학업성취도는 초등학생 때에는 일반아동과 큰 차이가 없으나, 중학교 진학 이후 일반아동과 차이를 보이는 것으로 나타났다. 입양아동의 전체 학업성취도에 영향을 미치는 요인은 학교급과 모의 학력, 연장아 여부, 아동의 자존감과 학교적응인 것으로 나타났으며, 과목별로 구체적인 영향요인들은 차이를 보이고 있다. 연구결과를 근거로, 입양아동들의 학업성취도 향상을 지원하기 위한 정책과 실천 지침들을 제언하였으며, 앞으로 필요한 후속연구들에 대해서도 제언하였다.

  • PDF

중학교 과학 영재들의 공학 설계 과정에 대한 인식 조사 연구 (A Study on Perceptions of Scientifically Gifted Middle School Students about Engineering Design Process)

  • 송신철;한화정;심규철
    • 한국과학교육학회지
    • /
    • 제37권5호
    • /
    • pp.835-846
    • /
    • 2017
  • 본 연구에서는 중학교 과학영재들의 성별과 재능영역에 따른 공학 설계 과정에 대한 인식을 조사하였다. 공학 설계 과정에 대한 인식 조사 도구는 문제 정의 능력, 정보 수집 및 활용 능력, 아이디어 도출 능력, 탐구 수행 능력, 협업능력(의사소통, 협동, 리더십) 등의 총 5개 영역으로 구성되어 있으며, 리커르트 5점 척도로 설문에 응답하도록 하였다. 연구 대상으로는 총 102명(남자 69명, 여자 33명)의 중학교 과학영재들이 설문 조사에 참여하였으며, 성별과 재능영역(물리학, 생명과학, 소프트웨어, 수학, 천문지질, 화학)에 따라 비교 분석하였다. 과학영재들은 자신의 공학 설계 과정에 대해 높은 수준의 인식을 갖고 있었다. 따라서 과학 영재들의 성별과 재능영역에 따라 관심분야의 영재성이 충분히 발휘될 수 있도록 공학 설계 과정을 반영한 맞춤형 영재 교육 프로그램의 개발이 필요하다. 또한 과학영재들의 실제적인 요구를 충분히 반영하여 과학 영재를 위한 공학 설계 프로그램의 교수 학습 방법 및 전략이 수립되어야 할 것이다.

택시거리함수를 이용한 평면기하에 관한 연구 (On the plane geometry using taxicab distance function)

  • 곽경민;백승민;최우석;최준범;고일석;김병학
    • 한국수학교육학회지시리즈E:수학교육논문집
    • /
    • 제24권3호
    • /
    • pp.659-689
    • /
    • 2010
  • 택시거리함수는 거리함수의 조건을 만족하면서 실제로 택시가 갈 수 있는 경로를 따라 이동할 때 거리 개념을 주는 실용적인 거리개념이라 할 수 있다. 비 유클리드 기하의 하나로서 실제로 평면상을 이동하는 우리 실생활을 반영할 수 있는 이 개념은 러시아 태생의 수학자 H. Minkowski에 의해 처음으로 제안되고, E. F. Krause(1986)에 의해 단행본으로 출판되어 기본개념과 그간의 결과들이 소개 되어졌다. 그 후 이 거리개념을 가지는 공간에서 많은 연구가 이루어지고 있다. 본 연구에서는 비 유클리드 기하인 택시기하의 문제를 유클리드 평면기하의 결과 및 택시기하에 대한 선행연구결과 등을 참조하여 유클리드 기하와의 차별점과 택시거리함수를 이용한 평면기하의 제정리를 고찰하였다.

주행거리를 이용한 연료소비량 산정방법: 몬테카를로 기법 중심으로 (Estimation methods of fuel consumption using distance traveled: Focused on Monte Carlo method)

  • 박천건;소진영;이영섭
    • Journal of the Korean Data and Information Science Society
    • /
    • 제23권2호
    • /
    • pp.247-256
    • /
    • 2012
  • 최근 온실가스 배출량에 대한 국제적 이슈가 지속적으로 대두되어 왔다. 본 연구는 이동 배출원중에서 도로교통부분에 대한 배출량을 산출하는데 필요한 연료소비량 산정에 관한 통계적인 기법들을 비교한 것이다. 지금까지 연료소비량을 산정하는데 단순히 연료공급량 또는 주행거리에 의한 방법으로 초점을 두어왔다. 그러나 연료공급량을 토대로 산출된 배출량은 다양한 차량 및 연식을 반영하지 못한다. 본 연구는 통계적 관점에서 주행거리와 연비를 조합한 각 차량의 연료소비량 및 모든 차량의 소비한 총연료소비량의 추정에 적용되는 방법들을 나열하고 비교한다. 또한 향후 연구로 제시된 일부 방법들에 대해서 차량 및 연식을 고려한 연료소비량의 추정에 관한 현실적인 적용방법을 제시한다.

초등학교 6학년 학생들의 변수 개념 이해에 관한 사례 연구 (Case Study on the 6th Graders' Understanding of Concepts of Variable)

  • 하수현;이광호
    • 한국수학교육학회지시리즈A:수학교육
    • /
    • 제50권2호
    • /
    • pp.213-231
    • /
    • 2011
  • The purpose of this study is to analyze the 6th graders' understanding of the concepts of variable on various aspects of school algebra. For this purpose, the test of concepts of variable targeting a sixth-grade class was conducted and then two students were selected for in-depth interview. The level of mathematics achievement of the two students was not significantly different but there were differences between them in terms of understanding about the concepts of variable. The results obtained in this study are as follows: First, the students had little basic understanding of the variables and they had many cognitive difficulties with respect to the variables. Second, the students were familiar with only the symbol '${\Box}$' not the other letters nor symbols. Third, students comprehended the variable as generalizers imperfectly. Fourth, the students' skill of operations between letters was below expectations and there was the student who omitted the mathematical sign in letter expressions including the mathematical sign such as x+3. Fifth, the students lacked the ability to reason the patterns inductively and symbolize them using variables. Sixth, in connection with the variables in functional relationships, the students were more familiar with the potential and discrete variation than practical and continuous variation. On the basis of the results, this study gives several implications related to the early algebra education, especially the teaching methods of variables.

Indirect measure of shear strength parameters of fiber-reinforced sandy soil using laboratory tests and intelligent systems

  • Armaghani, Danial Jahed;Mirzaei, Fatemeh;Toghroli, Ali;Shariati, Ali
    • Geomechanics and Engineering
    • /
    • 제22권5호
    • /
    • pp.397-414
    • /
    • 2020
  • In this paper, practical predictive models for soil shear strength parameters are proposed. As cohesion and internal friction angle are of essential shear strength parameters in any geotechnical studies, we try to predict them via artificial neural network (ANN) and neuro-imperialism approaches. The proposed models was based on the result of a series of consolidated undrained triaxial tests were conducted on reinforced sandy soil. The experimental program surveys the increase in internal friction angle of sandy soil due to addition of polypropylene fibers with different lengths and percentages. According to the result of the experimental study, the most important parameters impact on internal friction angle i.e., fiber percentage, fiber length, deviator stress, and pore water pressure were selected as predictive model inputs. The inputs were used to construct several ANN and neuro-imperialism models and a series of statistical indices were calculated to evaluate the prediction accuracy of the developed models. Both simulation results and the values of computed indices confirm that the newly-proposed neuro-imperialism model performs noticeably better comparing to the proposed ANN model. While neuro-imperialism model has training and test error values of 0.068 and 0.094, respectively, ANN model give error values of 0.083 for training sets and 0.26 for testing sets. Therefore, the neuro-imperialism can provide a new applicable model to effectively predict the internal friction angle of fiber-reinforced sandy soil.

문제중심학습(PBL)이 문제해결능력에 미치는 효과에 관한 메타분석 (The Effect of Problem-based Learning Strategies (PBL) on Problem Solving Skill: A Meta-Analysis.)

  • 박일수
    • 한국융합학회논문지
    • /
    • 제10권10호
    • /
    • pp.197-205
    • /
    • 2019
  • 이 연구는 문제중심학습(PBL)이 문제해결능력에 미치는 효과에 대한 일반화된 결론을 도출하고, 이와 관련된 조절변인을 발견하는 데 목적이 있었다. 연구의 목적을 달성하기 위하여 국내에서 1998년부터 2017년까지 발행된 석사학위 논문과 국내 학술지 논문 41편을 분석하고, 41개의 개별 효과 크기를 산출하였다. PBL이 문제해결능력에 미치는 평균 효과 크기는 .753이었으며, 이것은 PBL이 문제해결능력에 유의미한 교수-학습 방법이라는 것을 의미한다. 한편 문제해결능력에 영향을 미치는 조절변인은 교과, 유형, 학교급이었다. PBL의 문제해결능력 효과는 수학(d=.922), 예술(d=.916), 실과(d=.827), E-PBL(d=.791), 중학교(d=.972)에서 더 높았다. 교사들은 학생들의 문제해결능력 신장을 위하여, PBL 학습 환경을 유의미하게 조성할 필요가 있었다. PBL이 4차 산업혁명 시대의 학습 환경 변화에 따른 학생들의 고차원적인 문제해결능력을 신장하는 교수-학습방법으로 활용되기를 기대된다.