• 한국수학교육학회지시리즈B:순수및응용수학
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• 제17권4호
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• pp.397-411
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• 2010

In this paper, we will investigate the superstability for the sine functional equation from the following Pexider type functional equation: $f(x+y)-g(x-y)={\lambda}{\cdot}h(x)k(y)$ ${\lambda}$: constant, which can be considered an exponential type functional equation, the mixed functional equation of the trigonometric function, the mixed functional equation of the hyperbolic function, and the Jensen type equation.

• 대한수학회보
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• 제56권3호
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• pp.779-787
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• 2019

In this paper, we study two functional equations with two unknown functions from an Abelian group into a commutative ring without zero divisors. The two equations are generalizations of Swiatak's functional equations with an involution. We determine the general solutions of the two functional equations and the properties of the general solutions of the two functional equations under three different hypotheses, respectively. For one of the functional equations, we establish the Hyers-Ulam stability in the case that the unknown functions are complex valued.

• 대한수학회지
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• 제60권2호
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• pp.375-393
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• 2023

Rabinowitz action functional is the Lagrange multiplier functional of the negative area functional to a constraint given by the mean value of a Hamiltonian. In this note we show that on a symplectization there is a one-to-one correspondence between gradient flow lines of Rabinowitz action functional and gradient flow lines of the restriction of the negative area functional to the constraint. In the appendix we explain the motivation behind this result. Namely that the restricted functional satisfies Chas-Sullivan additivity for concatenation of loops which the Rabinowitz action functional does in general not do.

• 충청수학회지
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• 제36권2호
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• pp.107-123
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• 2023

In this paper, we present some hyperstability results for a general quintic functional equation and a general septic functional equation.

• 대한수학교육학회지:학교수학
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• 제13권4호
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• pp.651-674
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• 2011

함수적 사고는 학교 수학에서 가장 중요한 주제이고 함수적 사고 지도의 목적은 학생들의 함수적 사고를 향상시키는 것이라고 할 때 초등학교에서 함수적 사고를 지도한다는 것은 함수적 사고의 속성인 지정과 종속의 연관이 내재된 현상을 의미하는 함수적 사고이다. 함수적 사고를 습득했는지에 대한 평가 방법은 함수적 사고의 지도를 통해 학생들이 함수적 사고를 한다고 판단할 수 있는 학생들의 활동이다. 이를 위해서 교사는 함수적 속성을 갖는 타 교과의 내용과 관련된 함수적 상황의 형태의 전형적인 예(paradigm)을 제공하고, 적절한 발문을 통해 안내해야 한다. 본 연구의 목적은 타 교과와 연결된 상황 설정을 통한 함수적 사고의 지도 방안을 구안하고 적용하여 보다 발전된 지도 방안을 모색하는 것이다. 이를 위해 본 연구에서 제안하는 지도 방안은 함수적 상황의 준비단계, 적용단계, 반성단계의 3단계로 구성되며, 각 단계에서 지도해야 할 방안들을 제안하고자 한다.

• 응용통계연구
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• 제19권3호
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• pp.431-445
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• 2006

본 연구는 함수적 데이터 분석의 몇 가지 이론에 대해 소개하고 분석 기법을 실제 자료에 적용하는 내용을 다루었다. 함수적 데이터 분석의 이론적 내용으로 기저를 이용해 자료를 함수적 데이터로 표현하는 방법, 그리고 함수적 데이터의 변동성을 조사하는 주성분분석, 선형모형 등에 대해 살펴보았다. 그리고 우리나라 기온 데이터와 강수량 데이터를 대상으로 각각 함수적 데이터 분석 기법을 적용해 보았다. 또한, 기온과 강수량 데이터에 대해 함수적 회귀모형을 적합시켜 두 변수간의 함수관계를 살펴보았다.

• 한국세라믹학회지
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• 제46권5호
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• pp.441-446
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• 2009

Dense crack-free yttria film with 10 $\mu m$ thickness was prepared on aluminum by aerosol deposition. X-ray diffraction pattern on the film showed that it contained the same crystalline phase as the raw powder. Transmission electron microscopy revealed a nanostructured yttria film with grains smaller than 100 nm. Tensile adhesion strength between the film and aluminum substrate was 57.8 $\pm$ 6.3MPa. According to the etching test with $CF_4-O_2$ plasma, the etching rate of the yttria film was 1/100 that of quartz, 1/10 that of sintered alumina and comparable to that of sintered yttria.

• 한국학교수학회논문집
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• 제4권1호
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• pp.103-114
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• 2001

The purpose of this study is to develop learning materials for functional concept on variable and to verify the effect of how well students could learn functional concept after they studied with those materials. To accomplish the purpose of this study, I developed learning materials and after teaching students with them. I have concluded the followings : First, there was little effect in teaching functional concept on variable between two experimental groups, whereas teaching functional concept had greater effect on forming functional concept in high level groups in those two experimental groups. Second, teaching functional concept on variable had little effect on students' understanding of functional concept and perfecting tables in Black box, graph, and mathematical problems, whereas there was much effect in students' understanding functional concept and solving relation formula, image, and range problems related to everyday life or general things. On the basis of the problems which appeared in the process of this study, the following can be suggested : First, we should develop learning materials fit for low level students so that they could understand functional concept. Second, we should continue to teach the basic problems like solving relation formula, image, and range, and understanding functional concept in graph until students are able to understand them exactly. Third, since the goals of Unit Function in a middle school textbook is to solve problems related to everyday life through functional thinking, there should be change in constructing systematic contents of Unit Function in a middle school textbook.

• 한국실내디자인학회논문집
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• 제21권4호
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• pp.21-30
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• 2012

Interior space of modern society has a request for non-functional considerations as well as a need for function. French sociologist Jean Baudrillard defined this phenomenon as a dialectical relationship between the functional system and the non-functional system in his book "The System of Objects". The main goal of interior design is the pursuit of non-functional aspects which can satisfy emotional needs of human being without ignoring functional side. This means that designer should exceed the limitation of the functional system and overcome it by his own idea and method. Under this recognition, this paper tried to understand how Shiro Kuramata and Takashi Sugimoto accomplished the overcoming successfully. Sugimoto breaks through mechanical monotony introducing the non-functional objects into the functional system. His objects have power and form of the nature. They also shows traces of manufacture and labor. They works as media transferring old life and values. Sugimoto sometimes adopts the non-functional system such as collection, so it reveals time of collecting and arrangement of various objects. In contrast to Sugimoto, Kuramata erased the form of functional object and turned over the everydayness of the functional system. Instead, aesthetical phenomena substitutes form. Having doubts about the geometrical order of functional system, he opened a discourse for its meaning and limitation. However they have something in common which works as a blueprint for establishing subject's discourse. This discourse is comprised of their own memories of scenes. These subjects' discourse institute worlds through their design works based on each methodology. From the Heideggerian point of view, the worlds offer a foundation which allows the establishment of art in interior design.

• 대한영양사협회학술지
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• 제17권2호
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• pp.190-205
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• 2011

The purpose of this study was to investigate the consumption of health functional foods according to age group. We surveyed 300 subjects with quota sampling aged 10 to 50 and over. The rate of consumption of health functional foods by users was substantial (52.7%). Consumers of health functional foods showed higher scores for interest in health (3.97 vs 3.49, P<0.001) and knowledge of health functional foods (3.79 vs 3.30, P<0.001) than non-consumers of health functional foods. Regarding consumers of health functional foods, the number (P<0.01) and types (P<0.05) of health functional foods, reasons for taking (P<0.05), motivations for buying (P<0.05), periods of taking (P<0.001), cost per month (P<0.01), observance of instruction (P<0.01), and effectiveness (P<0.01) were significantly different according to age group. For non-consumers of health functional foods, reasons for not-taking (P<0.01) and types of health functional foods to be planned (P<0.001) were different according to age group. For consumers and non-consumers, problems (P<0.01) andimprovements (P<0.001) for health functional foods showed significant differences according to age group. The majority of subjects (85.4%) answered that heath functional foods had no side-effects. Reported side effects were inappetence (6.6%), constipation (2.6%), and headache (2.0%). In conclusion, differentiated strategies and specialized education programs according to age group might be needed for promoting adequate consumption and preventing side-effects of health functional foods.