• 호남수학학술지
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• 제30권4호
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• pp.733-741
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• 2008

Let T be Gauss transformation on the unit interval defined by T (x) = ${\frac{1}{x}}$ where {x} is the fractional part of x. Gauss transformation is closely related to the continued fraction expansions of real numbers. We show that almost every x is mod M normal number of Gauss transformation with respect to intervals whose endpoints are rational or quadratic irrational. Its connection to Central Limit Theorem is also shown.

• 한국수학사학회지
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• 제17권3호
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• pp.23-32
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• 2004

본 고에서는 유클리드의 원론에 나타난 대수적 개념들을 개괄하고, 현대적인 기호로 그 의미를 분석하였다. 유클리드의 원론에는 이차방정식, 곱셈공식, 비례식, 정수론, 무리수 등의 대수적 개념이 포함되어 있으나, 그 표현과 추론은 완전히 기하학적인 형태로 이루어져 있다 이러한 내용을 분석하는 것은 대수학의 발생적 본질을 찾아 최초에 수학이 만들어지는 상황을 학생들에게 경험하게 함으로써 수학화를 구현하려는 교육적인 문제의식에도 일종의 시사를 제공하게 될 것이다.

• 한국정보처리학회:학술대회논문집
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• 한국정보처리학회 2012년도 추계학술발표대회
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• pp.990-993
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• 2012

SCADA(Supervisory Control and Data Acquisition) 시스템은 국가중요기반망인 전력, 가스 등을 제어하기 위해 사용되어 왔다. 최근에는 기존의 폐쇄적인 통신 환경과 달리 외부망과 연결된 개방 통신 환경을 사용함에 따라 안전한 통신을 위한 암호화 기술이 연구되고 있다. 기존 시스템에 적용되고 있는 프로토콜들은 공유키를 갱신하기 위해 수동적으로 설정해야했다. 본 논문에서는 SCADA 시스템을 구성하는 Server와 RTU가 상호 인증하여 무리수 기반의 스트림 암호화 통신과 타임스탬프를 이용한 키 갱신 프로토콜을 제시하여 재사용공격과 가장공격이 불가능한 실시간 암호화통신 프로토콜을 연구하였다.

• 대한수학회지
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• 제56권4호
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• pp.985-1000
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• 2019

Let k be an integer with $k{\geq}3$. Define $h(k)=[{\frac{k+1}{2}}]$, ${\sigma}(k)={\min}\(2^{h(k)-1},\;{\frac{1}{2}}h(k)(h(k)+1)\)$. Suppose that ${\lambda}_1,{\ldots},{\lambda}_5$ are non-zero real numbers, not all of the same sign, satisfying that ${\frac{{\lambda}_1}{{\lambda}_2}}$ is irrational. Then for any given real number ${\eta}$ and ${\varepsilon}>0$, the inequality $${\mid}{\lambda}_1p^2_1+{\lambda}_2p^2_2+{\lambda}_3p^2_3+{\lambda}_4p^2_4+{\lambda}_5p^k_5+{\eta}{\mid}<({\max_{1{\leq}j{\leq}5}}p_j)^{-{\frac{3}{20{\sigma}(k)}}+{\varepsilon}}$$ has infinitely many solutions in prime variables $p_1,{\ldots},p_5$. This gives an improvement of the recent results.

• 한국수학사학회지
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• 제25권3호
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• pp.1-14
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• 2012

구장산술이래 동양의 전통 수학은 유리수체를 기본으로 이루어져 있다. 따라서 방정식의 무리수해는 허용되지 않으므로 근사해를 구하는 방법은 방정식론에서 매우 중요한 과제가 되었다. 중국의 사료에 나타나는 근사해에 관한 역사를 먼저 기술하고, 이를 조선산학에 나타나는 근사해에 관한 사료와 비교한다. 조선의 근사해에 대한 이론은 박율(1621 - 1668) 의 산학원본 (算學原本) 과 조태구 (趙泰耉, 1660-1723) 의 주서관견(籌書管見)에 이미 정립되었다. 중국의 이론과 달리 두 산학자 모두 근사해의 오차에 관심을 가지고 더 좋은 근사해를 구하는 방법을 얻어내었음을 밝힌다.

• 한국인터넷방송통신학회논문지
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• 제17권5호
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• pp.61-69
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• 2017

간섭 채널에 대한 연구는 정보 이론적으로 매우 중요한 문제로써 이에 관한 많은 연구가 진행되어 왔다. 하지만 가장 간단한 경우인 두 사용자 간섭 채널에서조차 특별한 경우를 제외하고는 채널 용량이 아직까지 밝혀져 있지 않다. 따라서 최근에는 채널 용량을 정확히 알아보는 대신, 높은 신호 대 잡음 비(SNR: Signal to noise power ratio) 대역에서의 전송률의 경향을 보는 다중화 이득에 대한 연구가 활발히 진행되고 있다. 최적의 다중화 이득을 얻으면 높은 신호 대 잡음 비 대역에서 채널 용량의 경향을 알 수 있다. 두 명의 사용자가 존재하는 간섭 채널에서는 간섭을 제거하면 최적의 다중화 이득을 얻을 수 있다. 하지만 사용자 수가 셋 이상인 경우에는 간섭 제거(Zero Forcing)만으로 최적의 다중화 이득을 얻을 수 없고, 간섭 정렬이라는 새로운 기법이 필요하다는 것이 최근 연구에서 밝혀졌다. 간섭정렬 기법은 크게 두 종류로 나눌 수 있다. 송수신 빔 형성(Beamforming) 행렬을 적절하게 골라서 신호와 간섭을 효과적으로 분리하는 방법과 유리수와 무리수의 성질을 이용하여 구조화된 코드(Structured code)를 구성하는 방법이다. 간섭 정렬 기법은 간섭 채널, X 채널, 복합 방송 채널(Compound broadcast channel), 다중 송수신처(Multi source multi destination)를 위한 다중 홉(Multi hop) 네트워크 등의 다양한 환경에서 최적의 다중화 이득을 달성할 수 있으며, 최근에는 데이터 분산 저장(distributed storage)에도 적용되고 있다. 본 논문에서는 지연된 채널 정보의 DoF를 구했다.

• 한국작물학회:학술대회논문집
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• 한국작물학회 2017년도 9th Asian Crop Science Association conference
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• pp.7-7
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• 2017

Unfavorable weather and soil conditions reduce rice yield and land and water productivity, aggravating existing encounters of poverty and food insecurity. These conditions are foreseen to worsen with climate change and with the unceasing irrational human practices that progressively debilitate productivity despite global appeals for more food. Our understanding of plant responses to abiotic stresses is advancing and is complex, involving numerous critical processes - each controlled by several genetic factors. Knowledge of the physiological and molecular mechanisms involved in signaling, response and adaptation, and in some cases the genes involved, is advancing. Moreover, the genetic diversity being unveiled within cultivated rice and its wild relatives is providing ample resources for trait and gene discovery, and this is being scouted for rice improvement using modern genomics and molecular tools. Development of stress tolerant varieties is now being fast-tracked through the use of DNA markers and advanced breeding strategies. Large numbers of drought, submergence and salt tolerant varieties were commercialized over recent years in South and Southeast Asia and more recently in Africa. These varieties are making significant changes in less favorable areas, transforming lives of smallholder farmers - progress considered incredulous in the past. The stress tolerant varieties are providing assurance to farmers to invest in better management of their crops and the ability to adjust their cropping systems for even higher productivity and more income, sparking changes analogous to that of the first green revolution, which previously benefited only favorable irrigated and rainfed areas. New breeding tools using markers for multiple stresses made it possible to develop more resilient, higher yielding varieties to replace the aging and obsolete varieties still dominating these areas. Varieties with multiple stress tolerances are now becoming available, providing even better security for farmers and lessening their production risks even in areas affected by complex and overlapping stresses. The progress made in these less favorable areas triggered numerous favorable changes at the national and regional levels in several countries in Asia, including adjusting breeding and dissemination strategies to accelerate outreach and enabling changes at higher policy levels, creating a positive environment for faster progress. Exploiting the potential of these less productive areas for food production is inevitable, to meet the escalating global needs for more food and sustained production systems, at times when national resources are shrinking while demand for food is mounting. However, the success in these areas requires concerted efforts to make use of existing genetic resources for crop improvement and establishing effective evaluation networks, seed production systems, and seed delivery systems to ensure faster outreach and transformation.

• 한국문헌정보학회지
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• 제24권
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• pp.9-51
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• 1993

The purpose of this study is twofold: to investigate into general characteristics of the abstracting services in Korea and to discuss general directions of development of the abstracting services in the country. This study is designed to achieve the purpose by gathering and analysing data related to the abstracting journals published in the past ten years and by comparing the results with similar data gathered by the investigator in 1984. The major conclusions made in this study is summarised as follows. (1) Researchers and professionals working in limited numbers of subject fields are benefited by abstracting services of recent achievements in research and development in Korea. Those in most of the fields have essentially no abstracting services of such achievements. Even many researchers and professionals in the limited numbers of the fields that have some elementary abstracting services are not informed of research results in their fields because the abstracting journals are scattered in many narrow subjects and in many cases, the abstracting journals only cover publications in some specific forms and kinds. (2) Abstracting journals of general subjects, which are supposed to be of more or less help to the researchers in the subject fields that have no abstracting journals of their own, have rapidly increased in number in the past ten years. Most of such abstracting journals carry thesis and dissertation abstracts, and the rest those of research papers published in specific places, in specific forms, by specific institutes, and of reports of research projects sponsored by specific foundations. These abstracting journals are not of the kind that comprehensively provide general readers with current awareness of publications of research results in Korea. (3) Most of the abstracting journals existing in Korea are published by institutions of higher education and research institutes, and the rest by commercial publishers, industrial firms, libraries, information centers, government agencies, research foundations, learned societies, etc. Those which publish many titles are small in number and those publish one or two titles are large in number. The former is largely made up of institutions of higher education and research institutes. (4) Ten years ago, there was not a single publishing house that produced abstracting journals. Three commercial publishing houses now produce abstracting journals. As this change occurs, centers of excellence are founded and competitive elements are introduced in abstracting services. This change, in turn, is expected to improve quality of the other abstracting journals in Korea. (5) The abstracting journals published in Korea are classified by type into those of dissertations, research papers, journal articles, patent specifications in that descending order. The fact that Master's and doctoral dissertation abstracts are dominating in Korea is due to the irrational practice of publishing those abstracts at many institutions. (6) Most of the abstracting journals existing in Korea are published by national or government-supported research institutes in order to publicise their own research outputs. Their coverage of literature is normally narrow, and naturally their value to users is limited. (7) The abstracting journals published in Korea increased in number at the rate of $77.8-100\%$ every five years in the past twenty-five years. Most of the abstracting journals that ceased to be published during the period survived for two years. (8) Korean is the desirable language for the abstracting journals designed to be distributed within Korea. About half of the abstracting journals published in Korea is printed in Korean and the other half in foreign languages, and in Korean with foreign languages. All the abstracting journals in foreign languages are printed in English xcept one, which is printed in Japanese. (9) Some twenty percent of the abstracting journals in Korea is published monthly, bimonthly, and quarterly. Others are published annually, biannually, and irregularly. The latter may not function properly as a current-awareness tool due to long intervals between their issues. It is particularly undesirable that about half of the abstracting journals in Korea is published irregularly. Most of the abstracting journals published in Korea are distributed freely to individuals and institutions selected by the publishers. (10) The abstracting journals published by the use of computers increased drastically in the past ten years. The abstracting journals produced by the conventional type-setting method will probably disappear In Korea in another ten years to come. Automation of the production of abstracting journals does not simply mean technical, economic improvement of publishing processes but availability of machine-readable databases that can be used for other purposes, including the generation of other publications and the provision of machine literature searching capabilities. Necessary steps should be taken for this important development that is occurring in the abstracting services in Korea.