• 대한수학회논문집
• /
• 제26권2호
• /
• pp.291-296
• /
• 2011

Cs$\'{a}$sz$\'{a}$r [3] introduced the notions of ${\gamma}$-compact and ${\gamma}$-operation on a topological space. In this paper, we introduce the notions of almost ${\Gamma}$-compact, (${\gamma},{\tau}$)-continuous function and (${\gamma},{\tau}$)-open function defined by ${\gamma}$-operation on a topological space and investigate some properties for such notions.

• 대한수학회지
• /
• 제60권3호
• /
• pp.635-682
• /
• 2023

In this paper, we consider linear elliptic systems from composite materials where the coefficients depend on the shape and might have the discontinuity between the subregions. We derive a function which is related to the gradient of the weak solutions and which is not only locally piecewise Hölder continuous but locally Hölder continuous. The gradient of the weak solutions can be estimated by this derived function and we also prove the local piecewise gradient Hölder continuity which was obtained by the previous results.

• 한국수학사학회지
• /
• 제32권3호
• /
• pp.135-155
• /
• 2019

One of the reasons students have difficulty in studying probability is that they do not understand the meaning of mathematical terms precisely. One such term is a continuous random variable. Students tend not to think of the accurate definition of continuous random variables but to understand the definition of continuity of functions and the meaning of continuity in probability as equal. In this study, we try to explore the degree of pre-service teachers' understanding on the concept of continuation of functions and continuous random variables. To do this, the questionnaire items related to continuous random variables and continuity of functions were developed by experts and examined by pre-service teachers. Based on this, we make suggestions on implications for teaching and learning about continuous random variables.

• 제어로봇시스템학회:학술대회논문집
• /
• 제어로봇시스템학회 1990년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 26-27 Oct. 1990
• /
• pp.1377-1382
• /
• 1990

In Multi-Layer Perceptron (MLP) which realizes continuous mappings, the output errors is directly affected by the weight errors which may be caused by the limited precision of digital or analog hardware in implementations. So, it is important to study the sensitivity due to the perturbation of connection weights between neurons. In this paper, we derive a sensitivity function to the statistical weight perturbations in MLP with differentiable activation functions. This sensitivity function can be regarded as an ensemble average of deterministic sensitivity measures due to the perturbations of weights. Hence, this sensitivity function can be used as the criteria for selecting weights with the minimum sensitivity among possible sets of connection weights in MLP. For the verification of the validity of the proposed sensitivity function, computer simulations have been performed and through the simulations we find good agreement between the theoretical and simulation results.

• 대한수학회보
• /
• 제57권3호
• /
• pp.751-762
• /
• 2020

We define the average of a set of continuous functions of two variables (surfaces) using the structure of the two-parameter Wiener space that constitutes a probability space. The average of a sample set in the two-parameter Wiener space is defined employing the two-parameter Wiener process, which provides the concept of distribution over the two-parameter Wiener space. The average defined in our work, called an average function, also turns out to be a continuous function which is very desirable. It is proved that the average function also lies within the range of the sample set. The average function can be applied to model 3D shapes, which are regarded as their boundaries (surfaces), and serve as the average shape of them.

• 대한수학교육학회지:학교수학
• /
• 제4권4호
• /
• pp.677-688
• /
• 2002

The context and intuitive understanding is very important in Statistics Education. Especially, there is a need to mitigate student's difficulty in studying probability density function. One of teaching method this concept is to using relative frequency histogram. But, as using this method, we should know several problems included in that. This study investigate problems in the method for teaching probability density function as gradual meaning of histogram. Also, as alternative approach, this thesis introduce the density curve concept. The application of four methods to teach the concept of the probability density function and analysis of the survey result is done in this research.

• 한국통신학회논문지
• /
• 제21권10호
• /
• pp.2660-2669
• /
• 1996

In this paper, it is called nonlinear-symbol CPFSK(NCPFSK) which is modulated by the nonlinear function of information carrying phase function within all symbol interval produce time invariant trellis structure. In general, the bit error probability performance of CPFSK modultion scheme within given signal constellation is determined from the number of memory elementsof continuous phase encoder, i.e. number of state. In this paper the number of state of analyticall designed NCPFSK is time invariant. And the nonlinear symbol mapping function of the proposed moudlation produces the nonlinear symbol andthe phase state of the modulation for updating the phase function of NCPFSK. It si shown in this paper nonlinear symbol CPFSK with multiple TCM to make further improvements in d$^{2}$, and analyzed BER performance in AWGN channel envioronments.hannel envioronments.

• 대한전기학회:학술대회논문집
• /
• 대한전기학회 1995년도 하계학술대회 논문집 B
• /
• pp.995-998
• /
• 1995

As the modern industrial processes become more complex, it is getting more difficult to model and control the processes. Naturally, an advanced type of DCS(Distributed Control System) with higher level functions is being sought Advanced DCS is a DCS with advanced functions such as fault diagnosis, GPC(Generalized Predictive Control), NN(Neural Network), and Fuzzy Control. In this thesis, we have studied a fuzzy control algorithm for realizing an advanced DCS. Its algorithm is implemented in a form of function code which is a process control language, being used by the industrial engineers. To verify the realized function code of the fuzzy control, the function code is applied to a continuous casting process of the Pohang Iron & Steel Works in Kwangyang. The rules of the fuzzy control were collected via interviews of the field operators and their operation documents. Finally, usability of the function code of the fuzzy control is shown via simulation for the continuous casting process model.

• 재활치료과학
• /
• 제3권2호
• /
• pp.71-81
• /
• 2014

목적: 본 연구의 목적은 CPM (Continuous Passive Motion)을 뇌졸중 환자의 손 기능 및 수부 근력 재활에 사용하고 그 영향을 살펴보는데 있다. 연구방법 : 본 연구의 대상자는 뇌졸중으로 인한 편마비 증상을 가진, Brunnstrom 4-6단계에 해당하는 치료후 18개월 이내의 급성기 환자 3명이다 연구방법은 3명의 대상자에 대하여 단일사례 (A-B) 실험설계를 사용하였으며 CPM의 영향을 검사하기 위해 젭슨수지기능, 퍼듀페그보드, 수부근력 세 가지를 측정하였다. CPM 적용기간은 3주였으며, 적용회수는 하루 2회, 매회 20분씩, 총 30회기였다. 연구결과: 수부근력 측정 중 손끝잡기에서 대상자 2명의 값이 변화가 없었다. 그 외의 젭슨수지기능, 퍼듀페그보드, 수부근력 검사에서는 CPM 적용 후의 검사 결과가 향상되었다. 결과의 유효성 검증을 위하여 비모수적 통계방법인 Wilcoxon signed ranks test를 실시한 결과 모든 항목에 대한 P-Value가 0. 05 보다 큰 값이 나와 처치 전 후 값의 차이가 통계적으로는 유의미하지 않다는 결과를 얻었다. 결론: 참여 대상자 수가 적고 프로그램 적용 기간이 짧은 제한점이 있으나, 수부 재활을 위해 실시한 CPM이 연구대상자 전원의 손 기능 및 근력 향상에 영향을 주었다는 것을 확인하였다. 이는 주로 하지 기능과 근력 향상을 위해 사용되는 CPM이 급성기 뇌졸중 환자의 수부 치료에도 유용하게 사용될 수 있음을 보여준다.

• 한국수자원학회논문집
• /
• 제42권11호
• /
• pp.953-961
• /
• 2009

본 연구의 목적은 현재 국내 홍수예경보 시스템의 유출해석모형으로 이용되고 있으며 단일 호우사상에 대해 적용이 가능한 유역 및 하도 저류함수모형을 추계학적 연속형 저류함수모형으로 개발하고자 하는데 있다. 이를 위해 기존 저류함수모형에 토양수분 산정 컴포넌트를 추가하고 지표면유출, 중간유출, 지하수유출 및 실제증발산량을 토양수분의 함수로 나타내어 각 수문성분에 대한 연속적인 모의가 가능하도록 하였다. 또한 실시간 관측유량자료 동화를 위해 앙상블 칼만 필터 기법을 도입하여 확정론적 모형을 추계학적 모형으로 개선하였다. 따라서 본 연구에서 개발된 추계학적 연속형 저류함수모형은 장기간의 연속적인 유출해석이 가능할 뿐만 아니라 관측자료 동화를 통해 기존 저류함수 모형보다 신뢰성 있는 결과를 제시할 수 있을 것으로 판단된다.