• Title/Summary/Keyword: 한국수학

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Security Analysis of Block Ciphers Designed with BOGI Strategy against Differential Attacks (BOGI 전략으로 설계된 블록 암호의 차분 공격에 대한 안전성 분석)

  • Lee, Sanghyeop;Kim, Seonggyeom;Hong, Deukjo;Sung, Jaechul;Hong, Seokhie
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.29 no.6
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    • pp.1259-1270
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    • 2019
  • The upper bound of differential characteristic probability is mainly used to determine the number of rounds when constructing a block cipher. As the number of rounds affects the performance of block cipher, it is critical to evaluate the tight upper bound in the constructing process. In order to calculate the upper bound of differential characteristic probability, the previous searching methods for minimum number of active S-boxes constructed constraint equations for non-linear operations and linear operations, independently. However, in the case of BOGI design strategy, where linear operation is dependent on non-linear operation, the previous methods may present the less tight upper bound. In this paper, we exploit the properties of BOGI strategy to propose a new method to evaluate a tighter upper bound of differential characteristic probability than previous ones. Additionally, we mathematically proved the validity of our method. Our proposed method was applied to GIFT-64 and GIFT-128, which are based on BOGI strategy, and the upper bounds of differential characteristic probability were derived until 9 round. Previously, the upper bounds of differential characteristic probability for 7-round GIFT-64 and 9-round GIFT-128 were 2-18.395 and 2-26.885, respectively, while we show that the upper bounds of differential characteristic probability are more tight as 2-19.81 and 2-28.3, respectively.

Breakage and Liberation Characteristics of Iron Ore from Shinyemi Mine by Ball Mill (신예미 광산 철광석의 볼밀 분쇄 및 단체분리 특성 연구)

  • Lee, Donwoo;Kwon, Jihoe;Kim, Kwanho;Cho, Heechan
    • Resources Recycling
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    • v.29 no.3
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    • pp.11-23
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    • 2020
  • This study aims to investigate breakage and liberation characteristics of iron ore from Shinyemi mine, Jeongseon by ball mill. Parameters of breakage functions for three grade samples of iron ore were obtained using single-sized-feed breakage test and back-calculation based on nonlinear programming. The results showed that with the increase in the grade of iron ore, the breakage rate factor decrease whereas the particle size sensitivity decreases. This results from retardation of microcrack-propagation by magnetite grain in the ore. Breakage distribution analysis showed that the breakage mechanism appear to be impact fracture dominant with the increase of grade owing to the stress distribution effect by magnetite grain. Degree of liberation (DOL) increased with the increase in grade and decrease in particle size, respectively. Using the breakage function and size-DOL relationship, a model that can predict time-dependent-DOL is established. When scale-up factors from operating condition are available, the model is expected to be capable of predicting size and DOL with time in actual mining process.

Performance Analysis of Routing Protocols for WLAN Mesh Networks (WLAN Mesh 망을 위한 라우팅 기법의 성능 분석)

  • Park, Jae-Sung;Lim, Yu-Jin;Ahn, Sang-Hyun
    • The KIPS Transactions:PartC
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    • v.14C no.5
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    • pp.417-424
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    • 2007
  • Mesh networks using WLAN technology have been paid attention as a key wireless access technology. However, many technical issues still exist for its successful deployment. One of those issues is the routing problem that addresses the path setup through a WLAN mesh network for the data exchanges between a station and a wired network. Since the characteristics of a WLAN mesh network can be very dynamic, the use of single routing protocol would not fit for all environments whether it is reactive or proactive. Therefore, it is required to develop an adaptive routing protocol that modifies itself according to the changes in the network parameters. As a logical first step for the development, an analytical model considering all the dynamic features of a WLAN mesh network is required to evaluate the performance of a reactive and a proactive routing scheme. In this paper, we propose an analytical model that makes us scrutinize the impact of the network and station parameters on the performance of each routing protocol. Our model includes the size of a mesh network, the density of stations, mobility of stations. and the duration of network topology change. We applied our model to the AODV that is a representative reactive routing protocol and DSDV that is a representative proactive routing protocol to analyze the tradeoff between AODV and DSDV in dynamic network environments. Our model is expected to help developing an adaptive routing protocol for a WLAN mesh network.

Optimization of biomethane production by biogas upgrading process using response surface mothodolgy (반응표면분석을 이용한 바이오가스 고질화공정을 통한 바이오메탄)

  • Park, Seong-Bum;Sung, Hyun-Je;Shim, Dong-Min;Kim, Nack-Joo
    • Journal of Energy Engineering
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    • v.23 no.2
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    • pp.62-73
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    • 2014
  • This research was focused to apply response surface methodology for optimization of bio-methane production by biogas upgrading process. Methane concentration(Y1) and methane efficiency(Y2) on biogas upgrading process were mathematically described as being modeled by the use of the Box-Behnken design on response surface methodology. The results of ANOVA(analysis of variance) about models, the probability value of the methane concentration and methane recovery response surface model are 0.0001 and 0.0001, respectively and coefficient of determination($R^2$) are 0.9788 and 0.9710, respectively. The response surface model is proved of high reliability and suitability. The operation pressure had the greatest influence to methane concentration than other operation parameters and the PSA rotary valve velocity had the greatest influence to methane recovery than other operation parameters. Optimal condition of biogas upgrading process for production of $100Nm^3/hr$ bio-methane were operation pressure 8.0bar and outlet flow rate 31.55RPM, respectively. At that operation condition the methane concentration of bio-methane was 97.13% and methane recovery in biogas upgrading process was 75.89%.

A Study on Replacing Method Global Illumination Using Ambient Occlusion (Ambient Occlusion을 이용한 Global Illumination 대체기법 연구)

  • Park, Jae-Wook;Kim, Yun-Jung
    • Cartoon and Animation Studies
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    • s.36
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    • pp.493-510
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    • 2014
  • From game consoles to TV and Hollywood films, 3D rendering technology is involved in various fields. Up until the late 90s, the computer image rendering method was rasterization that mainly used Phong Shading, and up until recently it was the go-to method for movies and film animation. In the 21st century, the quality provided by Ray Tracing and the development of Global Illumination was much more realistic and thus became popularized. However, despite its growing use in architectural rendering to the markets, Global Illumination in film animation and movies was limited due to its long render time. So, in this thesis, if one were to take the concept from each rendering method and consider it from a mathematical perspective, one could adapt the Ambient Occlusion's equation to the illumination loop equation used in rasterization. This algorithm modification has the capability to reflect the lighting of a diverse array of colors, like in Global Illumination, with a fast render time, as in rasterization, and the example RenderMan Shader is based upon this new algorithm. In conclusion, with Global Illumination's naturalistic lighting and rasterization's rendering speed, the combination of the best points of each is a new method with a short rendering time while producing good quality. I hope animations and films can benefit from this algorithm by the reduction of budget with an overall better quality output in VFX production.

A Study on Design Education in Primary School -With Emphasis on Analysing the Present Condition of Design Education in Korean Primary School- (초등학교 디자인 교육에 관한 연구 -국내 디자인 교육의 현황 분석을 중심으로-)

  • 김혜숙;권은숙
    • Archives of design research
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    • v.12 no.4
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    • pp.191-200
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    • 1999
  • Improving the design ability of idea developing and creative problem solving should be started from the primary school. Design education in the primary school should be not education for design but education by design. It helps students can naturally understand the basic concept of design and experience the process of activities. Therefore primary educational circle use the term of 'Design-related activities', or 'Design-Based Education'. It can be applied to variable themes of mathematics, science, music, society as well as Art. On the Basis of these literature review, the traditional design education as a part of the art education is analyzed in two aspects of its contents and behaviors. The contents in design education involve aesthetic·symbolic, useful·functional, and scientific·technological area. And, the basic design behaviors are classified with 'know', 'perceive', 'inquire', and so on. This concept becomes the analytic frame of the present condition of design education in Korean primary school. Through the analysis, it is found that the portion of scientific·technological area in contents and 'inquire' related behaviors are relatively very low. Also, the planning and teaching methods for leading children's opportunity of creative expression are found inadequate. This study proposes the potential capability and the integrative contents of design education in primary school.

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Trend of Research and Industry-Related Analysis in Data Quality Using Time Series Network Analysis (시계열 네트워크분석을 통한 데이터품질 연구경향 및 산업연관 분석)

  • Jang, Kyoung-Ae;Lee, Kwang-Suk;Kim, Woo-Je
    • KIPS Transactions on Software and Data Engineering
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    • v.5 no.6
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    • pp.295-306
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    • 2016
  • The purpose of this paper is both to analyze research trends and to predict industrial flows using the meta-data from the previous studies on data quality. There have been many attempts to analyze the research trends in various fields till lately. However, analysis of previous studies on data quality has produced poor results because of its vast scope and data. Therefore, in this paper, we used a text mining, social network analysis for time series network analysis to analyze the vast scope and data of data quality collected from a Web of Science index database of papers published in the international data quality-field journals for 10 years. The analysis results are as follows: Decreases in Mathematical & Computational Biology, Chemistry, Health Care Sciences & Services, Biochemistry & Molecular Biology, Biochemistry & Molecular Biology, and Medical Information Science. Increases, on the contrary, in Environmental Sciences, Water Resources, Geology, and Instruments & Instrumentation. In addition, the social network analysis results show that the subjects which have the high centrality are analysis, algorithm, and network, and also, image, model, sensor, and optimization are increasing subjects in the data quality field. Furthermore, the industrial connection analysis result on data quality shows that there is high correlation between technique, industry, health, infrastructure, and customer service. And it predicted that the Environmental Sciences, Biotechnology, and Health Industry will be continuously developed. This paper will be useful for people, not only who are in the data quality industry field, but also the researchers who analyze research patterns and find out the industry connection on data quality.

The Effects of Leadership Education Program on Leadership Skills of the Primary Gifted Students (초등 영재 리더십 교육 프로그램이 리더십 기술 향상에 미치는 효과)

  • Yang, Kyu-Mo;Kim, Jung-Sub
    • Journal of Gifted/Talented Education
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    • v.20 no.3
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    • pp.743-765
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    • 2010
  • The purpose of this study was to provide and analyze the fundamental data on leadership skills and to analyze leadership skills among giftd elementary students according to grade, subject and gender. The main research questions in order to achieve the purpose of research are as follow. First, are there any differences of gifted elementary students' leadership skills in gifted groups? Second, do leadership program have an effect on improvement of gifted elementary students' leadership skills? The subjects for this study were 488 gifted elementary in 4th-6th grade in Busan. The students in the experiential group went thought 16 session do leadership program. After that, they had pre-tests and post-tests. the devices used to verify the effectiveness of the program were leadership skill scales. For this research analysis, MANOVA was used to investigate the first research questions and MANCOVA was used to investigate the second research question. Results from this study are as follows. Firstly, students in higher grades received fewer leadership skills points. This fact suggests that the leadership programs from the fourth grade should be implemented in 5th and 6th grade gifted education as well. Secondly, in the analysis of the results from gifted mathematics and gifted science, little significant statistical difference was shown. Thirdly, the analysis of leadership skills according to gender showed statistical significance. Finally, the study showed that the leadership education program had a positive effect. So the gifted 4th, 5th, and 6th grade students improve their leadership skills points by the end of the 16 week programs. Consequently, it is suggested that leadership education program on gifted elementary education was significant to improvement of leadership skills.

An Analysis of Undergraduate School Admission Policy of France (프랑스 대학입학제도의 주요 특징 및 시사점 분석)

  • Park, Sang-wan
    • Korean Journal of Comparative Education
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    • v.26 no.4
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    • pp.1-30
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    • 2016
  • The purposes of this study are to analyze the higher education admission policy of France and to draw policy implications for Korea. For this study, literature reviews and interviews (face-to-face, email, telephone) were adopted for main research methods. The major findings were as follows: First, baccalaur?at diploma is necessary for higher education admission in France but each higher education has different admission policy according to their legal status. University has open enrollment policy and has no student selection process. Other higher institutions such as grands ?coles select students based on students' academic achievements. Second, baccalaur?at is national diploma which shows successful conclusion of the upper secondary education and gives right of access to higher education. This diploma is awarded to candidates who have passed a series of standardized written and oral tests drawn up at national level (10/20points). Third, students' academic achievements in high schools are major criteria for admission for higher institutions which has student selection process. Fourth, entrance exams implemented at college level are various according to higher institution. Last, 'Admission Post-bac-APB' site is used to support and facilitate the whole admission process. Based on these findings, several policy implications were suggested.

Kinematic Approximation of Partial Derivative Seismogram with respect to Velocity and Density (편미분 파동장을 이용한 탄성파 주시 곡선의 평가)

  • Shin, Chang-Soo;Shin, Sung-Ryul
    • Geophysics and Geophysical Exploration
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    • v.1 no.1
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    • pp.8-18
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    • 1998
  • In exploration seismology, the Kirchhoff hyperbola has been successfully used to migrate reflection seismo-grams. The mathematical basis of Kirchhoff hyperbola has not been clearly defined and understood for the application of prestack or poststack migration. The travel time from the scatterer in the subsurface to the receivers (exploding reflector model) on the surface can be a kinematic approximation of Green's function when the source is excited at position of the scatterer. If we add the travel time from the source to the scatterer in the subsurface to the travel time of exploding reflector model, we can view this travel time as a kinematic approximation of the partial derivative wavefield with respect to the velocity or the density in the subsurface. The summation of reflection seismogram along the Kirchhoff hyperbola can be evaluated as an inner product between the partial derivative wavefield and the field reflection seismogram. In addition to this kinematic interpretation of Kirchhoff hyperbola, when we extend this concept to shallow refraction seismic data, the stacking of refraction data along the straight line can be interpreted as a measurement of an inner product between the first arrival waveform of the partial derivative wavefield and the field refraction data. We evaluated the Kirchhoff hyperbola and the straight line for stacking the refraction data in terms of the first arrival waveform of the partial derivative wavefield with respect to the velocity or the density in the subsurface. This evaluation provides a firm and solid basis for the conventional Kirchhoff migration and the straight line stacking of the refraction data.

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