• Bulletin of the Korean Mathematical Society
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• v.45 no.4
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• pp.631-634
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• 2008

In this paper, the parabola will be characterized as the plane curve whose curvature function and support function satisfy a condition, where we define the support function as the distance from origin to the tangent line.

• Korean Journal of Mathematics
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• v.11 no.1
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• pp.17-30
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• 2003

In this paper, we use a generalized Brownian motion process to define a translation theorem. First we establish the translation theorem for function space integrals. We then obtain the general translation theorem for functionals on function space.

• Journal of the Korean Data and Information Science Society
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• v.16 no.4
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• pp.815-821
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• 2005

Among the various artificial neural networks the backpropagation network (BPN) has become a standard one. One of the components in a neural network is an activating function or a transfer function of which a representative function is a sigmoid. We have discovered that by updating the slope parameter of a sigmoid function simultaneous with the weights could improve performance of a BPN.

• Journal of applied mathematics & informatics
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• v.29 no.1_2
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• pp.517-521
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• 2011

In this paper, we introduce the concepts of m-convex set, mcconvex function and $m^*c$-convex function. We study basic properties for m-convex sets and characterization for such functions.

• Kyungpook Mathematical Journal
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• v.32 no.1
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• pp.21-30
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• 1992

• Proceedings of the KIEE Conference
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• 2000.07d
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• pp.2355-2358
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• 2000

This paper presents signal analyzer design, realization of system parameter estimation, analysis and system parameter estimation of distributed parameter systems using orthogonal function like Walsh function, block pulse function and Haar function.

• The Pure and Applied Mathematics
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• v.5 no.1
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• pp.65-72
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• 1998

We investigate a chain of properties of real function algebras along the analogous proofs of the complex cases such as the fact that any real function algebra which is both maximal and essential is pervasive. And some properties of real function algebras with a vertex property will be discussed.

• Journal of Nutrition and Health
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• v.31 no.9
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• pp.1457-1467
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• 1998

The relationship between cognitive function and dietary patterns in Korean elderly women was investigated in this study. Twenty-four-hour dietary recall and cognitive function tests were performed in 170 elderly women aged over 60 years. Average age of the subjects was 71 years and the average number of family members was 3.3. Most of the subjects had less than seven years of education and their monthly income was much lower than the Korean average. Most of the subjects engaged in regular exercise and did not indulge in drinking and smoking. The average cognitive function score of the subjects was 58.4. Most of the subjects appeared to consume insufficient amount of food ; average intakes of energy, Ca, iron, vitamin A, and riboflavin were lower than RDA for the elderly. Cognitive function score was positively related to education level and regularity of exercise. Also, cognitive function score had a strong relationship with food intake such as total amounts of foods, fish and shellfish, milk and dairy products, total animal food, fruit, bread and sugar. Energy, protein, Ca, p, riboflavin, and niacin were also shown to have positive relationships to cognitive function score, while carbohydrate caloric ratio had a negative relationship with cognitive function. According to the results of multiple regression analysis, factors that most influenced on cognitive function were education level and riboflavin intake. The subjects who had more than seven years of education had significantly higher cognitive function scores than those with no school education. And cognitive function scores f3r those who consumed more than 2/3 of the RDA for most nutrients were significantly higher than the ones fir the subjects who consumed less than 2/3 of the RDA. These results suggest that proper education and adequate nutrient intake in quantity and quality by achieving food diversity are essential in maintaining cognitive function in later life (Korean J Nutrition 31(9) : 1457-1467, 1998)

• The Mathematical Education
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• v.56 no.4
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• pp.387-405
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• 2017

The purpose of this study is to investigate the change of students 'perception and expression about the motion of object following distance function $={x \atop 3}$ and distance function $y=\frac{x^3}{3}+3$ according to the necessity of research on students' perception and expression about integral constant. In this paper, we present the recognition and the expression of the difference of the constant in the relationship between the distance function and the speed function of the students, while examining the process of constructing the speed function and the inverse process of the distance function. This provides implications for the relationship between the derivative and the indefinite integral corresponding to the inverse process. In particular, in a teaching experiment, a constructive activity was performed to analyze the motion of two distance functions, where the student had a difference of the constant term. At this time, the students used the expression 'starting point' for the constants in the distance function, and the motion was interpreted by using the meaning. This can be seen as a unique 'students' mathematics' in the process of analyzing the motion of objects. These scenes, in introducing the notion of the relation between differential and indefinite integral, it is beyond the comprehension of the integral constant as a computational procedure, so that the learner can understand the meaning of the integral constant in relation to the motion of the object. It is expected that it will be a meaningful basic research on the relationship between differential and integral.

• 한국공간정보시스템학회:학술대회논문집
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• 2000.06a
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• pp.93-105
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• 2000

GIS is a powerful toolbox in managing spatial data associated with attribute data. However GIS is short of spatial analysis function and graphic user interface(GUI) function in dealing with dynamic planning problems. Decision Support Systems(DSS) make up for the shortage of GIS by providing GUI function, modeling function and database function. Spatial Decision Support Systems(SDSS), a new kind of DSS, incorporate display function, basic spatial analysis function and manipulation function of spatial data and attribute data of GIS and GUI function, modeling function and database function of DSS in dealing with spatial planning problems. Planning Support Systems(PSS) add more advanced spatial analysis function and intertemporal function to the functions of SDSS. This study focuses on the modeling of a PSS for capacity expansion of water-distribution network depending upon land use planning by using GIS, value engineering(VE) and life cycle costing(LCC). The PSS shows a guideline about the investment of water-distribution networks related to urban growth management through generating certain numbers of dynamic alternatives to supply the amount of water caused by land use planning.