• 충청수학회지
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• 제15권1호
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• pp.75-85
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• 2002

Let X be a compact metric space and let f be a continuous relation on X. Let U be an attractor block for f and let A bean attractor determined by U. Then there exists a continuous function ${\lambda}^{-1}:X{\rightarrow}[0,1]$ such that ${\lambda}^{-1}(0)=A$, ${\lambda}^{-1}(1)=X-B(A,U)$, and $M({\lambda},f)(x)$ < ${\lambda}(x)$ for all $x{\in}B(A,U)-A$.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제9권1호
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• pp.20-29
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• 2009

In this paper, by using the definition of fuzzy equivalence relations introduced by Dib and Youssef, we obtain fuzzy analogues of many results concerning ordinary equivalence relations. Moreover, we investigate fuzzy analogues of many results concerning relationships between ordinary equivalence relations and ordinary functions. In particular, we obtain the fuzzy-canonical decomposition of a fuzzy function.

• Journal of Information Science Theory and Practice
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• 제1권3호
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• pp.6-11
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• 2013

A new explanation, using exponential functions, is given for the S-shaped functional relation between the mean citation score and the proportion of top 10% (and other percentages) publications for the 500 Leiden Ranking universities. With this new model we again obtain an explanation for the concave or convex relation between the proportion of top $100{\theta}%$ publications, for different fractions of ${\theta}$.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2007년도 정기 학술대회 논문집
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• pp.657-662
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• 2007

We studied the piezoresistivity of a steel-alloy 'wire when the deformation exceeds the elastic limit. It is that the piezoresistivity of the steel-alloy wire could be modeled by a bilinear function. To predict the plastic piezoresistivity relation, we developed a simple plastic piezoresistivity model based on the classical hardening plasticity. If structural members such as prestressing tendons in concrete structures are concerned, it is a very efficient and simple tool for monitoring.

• 한국지능시스템학회논문지
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• 제2권3호
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• pp.17-21
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• 1992

In this paper we consider the notion of fuzzy relation as a generalization of that of fuzzy set. For a complete Heyting algebra L. the category set(L) of all L-fuzzy sets is shown to be a bireflective subcategory of the category Rel(L) of all L-fuzzy relations and L-fuzzy relation preserving maps. We investigate categorical structures of subcategories of Rel(L) in view of quasitopos. Among those categories, we include the category L-fuzzy similarity relations with respect to both max-min and max-product compositions, respectively, as a cartesian closed topological category. Moreover, we describe exponential objects explicitly in terms of function space.

• East Asian mathematical journal
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• 제40권1호
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• pp.95-107
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• 2024

Let K be an imaginary quadratic field with ring of integers 𝓞_K and N be a positive integer. By K_(N) we mean the ray class field of K modulo N𝓞_K. In this paper, for each prime p of K relatively prime to N𝓞_K we explicitly describe the action of the Artin symbol (${\frac{K_{(N)}/K}{p}}$) on special values of modular functions of level N. Furthermore, we extend the Kronecker congruence relation for the elliptic modular function j to some modular functions of higher level.

• 대한지역사회영양학회:학술대회논문집
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• 대한지역사회영양학회 2000년도 추계학술대회:통일한국을 대비한 영양감시체계 개발
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• pp.87-87
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• 2000

• 대한수학회지
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• 제37권1호
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• pp.21-30
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• 2000

We give a proof of the distribution relation for q-Bernoulli polynomials $B_{k}$(x : q) by using q-integral and evaluate the values of p-adic q-L-function.n.

• 대한수학교육학회지:학교수학
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• 제11권1호
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• pp.131-145
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• 2009

본 연구는 초등학교 학생들에게 함수의 그래프 표현 및 해석의 지도가능성을 탐색하기 위하여 설계되었다. 이를 위하여 부분적으로 역동적인 기하 소프트웨어를 이용하는 점진적인 함수 그래프 지도 방법을 고안하여, 초등학교 5학년생 4명을 대상으로 8차시의 수업을 실행하였다. 연구 결과, 아동들은 함수 관계에 대한 개념화, 1차 함수 그래프의 해석, 1차 함수 그래프 기울기의 의미를 인식하고, 기울기에 대한 논의와 실생활과의 관련성을 파악하는 것으로 나타났다. 함으로써 함수의 그래프 표현 및 해석의 지도가 가능함을 알 수 있었다. --삭제) 또한, 아동들은 GSP-선그래프를 통하여 그래프에서의 점과 선의 관계를 시각적으로 명확히 인식하였으며, 함수관계를 그래프로 정확하게 표현하는 데에 있어서 결정적인 역할을 했음을 알 수 있었다.

• 사상체질의학회지
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• 제12권2호
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• pp.17-33
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• 2000

Purpose of this study is to investigate the correlation between Sung-Jung' concept of Sasang Constitutional Medicine and Brain. So, After studying the meaning of Sung-Jung' concept of Sasang Constitutional Medicine, I made a comparative study through the structure, function, development of Brain. The conclusions were as follows. 1. Human's brain acts a rational, control his actions. and It manage human body's physiology and pathology. and It perceive his surroundings, express his emotion through comprehension, synthesis, judgement about information from various fields. and It's abnormality bring about a spiritual, bodily injury. Therefore, human's brain have many correlation with Sung-Jung' concept of Sasang Constitutional Medicine. 2. Neocortex' function have many correlation with Sung' concept of Hearing-Sight-Smell-Taste (聽視嗅味=sensation=a highly mental capacity) through Ear-Eye-Nose-Mouse(耳目鼻?). 3. Limbic-system'function have many correlation with Jung' concept of Sorrow-Anger-Pleasure-Joy(哀怒喜榮=emotion) through Lung-Spleen-Liver-Kidney(肺脾肝腎) 4. Brain-stem' function have many correlation with vitalistic concept through Qui of Sorrow - Anger - Pleasure - Joy(哀怒喜樂之氣)' rise and fall. 5. Relation of emotions and diseases through Limbic system and Autonomic nervous system have many correlation with relation of Sung-Jung and diseases of Sasang Constitutional Medicine 6. Left-hemisphere' function that has superior power of verbal, analysis, logicality, consideration have many correlation with tendency of Soeumin and Taeumin. and Right-hemisphere' function that has superior power of emotion, non-verbal, imagination, spatial perception have many correlation with tendency of Soyangin and Taeyangin.