• Proceedings of the Korean Magnestics Society Conference
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• 2007.05a
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• pp.181.1-181.1
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• 2007

• The Pure and Applied Mathematics
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• v.17 no.4
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• pp.363-372
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• 2010

In this paper we obtain the Hyers-Ulam stability of functional equations $f(x+y)=f(x)+f(y)+In\;{\alpha}^{2xy-1}$ and $f(x+y)=f(x)+f(y)+In\;{\beta(x,y)^{-1}$ which is related to the exponential and beta functions.

• Bulletin of the Korean Mathematical Society
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• v.58 no.2
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• pp.269-275
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• 2021

Let ℝ be the set of real numbers, f, g : ℝ → ℝ and �� ≥ 0. In this paper, we consider the stability of partially pexiderized exponential-radical functional equation $$f({\sqrt[n]{x^N+y^N}})=f(x)g(y)$$ for all x, y ∈ ℝ, i.e., we investigate the functional inequality $$\|f({\sqrt[n]{x^N+y^N}})-f(x)g(y)\|{\leq}{\epsilon}$$ for all x, y ∈ ℝ.

• Structural Engineering and Mechanics
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• v.16 no.1
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• pp.83-99
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• 2003

The aim of this paper is to develop the ISCOSTFUN (Intelligent System for Prediction of Concrete Strength by Functional Networks) in order to provide in-place strength information of the concrete to facilitate concrete from removal and scheduling for construction. For this purpose, the system is developed using Functional Network (FN) by learning functions instead of weights as in Artificial Neural Networks (ANN). In serial functional network, the functions are trained from enough input-output data and the input for one functional network is the output of the other functional network. Using ISCOSTFUN it is possible to predict early strength as well as 7-day and 28-day strength of concrete. Altogether seven functional networks are used for prediction of strength development. This study shows that ISCOSTFUN using functional network is very efficient for predicting the compressive strength development of concrete and it takes less computer time as compared to well known Back Propagation Neural Network (BPN).

• The Journal of Korean Medicine
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• v.35 no.1
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• pp.68-74
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• 2014

Objectives: To analyze the growth pattern of the functional food market in Korea, and thus produce essential information in mapping out a strategy for Korean medicine. Methods: A survey of literature or analysis reports about market changes related to functional foods in Korea was undertaken. Results: The Korean functional food market has been growing rapidly, to 1.4 trillion won in 2012 compared to 250 billion won in 2004, which is an annual growth rate of about 14%. In particular, individually-approved functional food is worthy of notice regarding its growth rate and functional position, which is similar to herbal drugs. The expanding growth of functional food affects negatively the decrease of herbal drug industry in Korea to date. Conclusions: To compete with functional foods, the Korean medicine community needs to develop patient-friendly and cost-effective herbal drugs, and strategies to adopt them as therapeutic modalities.

• Proceedings of the Korean Society of Life Science Conference
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• 2003.10a
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• pp.122-122
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• 2003

• The Mathematical Education
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• v.43 no.2
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• pp.199-210
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• 2004

This study investigates 55 preservice secondary mathematics teachers' situational understanding of functional relationship. Functional thinking is fundamental and useful because it develops students' quantitative thinking about the world and analytical thinking about complex situations through examination of the relations between interdependent factors. Functional thinking is indispensable for understanding natural phenomena, for investigation by science, and for the technological inventions in engineering and navigation. Therefore, it goes without saying that teachers should be able to represent and communicate about various functional situations in the course of teaching and learning functional relationships to develop students' functional thinking. The result of this study illustrates that many preservice teachers were not able to appropriately represent and communicate about various functional situations. Additionally, it shows that most preservice teachers have limited understanding of the value of teaching function.

• Journal for History of Mathematics
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• v.34 no.5
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• pp.153-164
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• 2021

A functional equation is an equation which is satisfied by a function. Some elementary functional equations can be manipulated with elementary algebraic operations and functional composition only. However to solve such functional equations, somewhat critical and creative thinking ability is required, so that it is educationally worth while teaching functional equations. In this paper, we look at the origin of functional equations, and their characteristics and educational meaning and effects. We carefully suggest the use of the functional equations as a material for school mathematics education.

• Proceedings of the Korea Inteligent Information System Society Conference
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• 2001.01a
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• pp.400-409
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• 2001

In conceptual design of engineering devices, a designer decomposes a required function into sub-functions, so-called functional decomposition, using a kind of functional knowledge representing achievement relations among functions. However, such knowledge about functionality of engineering devices is usually left implicit because each designer possesses it. Even if such knowledge is found in documents, it is often scattered around technical domains and lacks consistency. Aiming at capturing such functional knowledge explicitly and sharing it in design teams, we discuss its systematic description based on functional ontologies which provide common concepts for its consistent and generic description. We propose a new concept named “was of achievement” as a key concept for capturing such functional knowledge. Categorization of typical representations of the knowledge and its organization as is-a hierarchies are also discussed. The generic concepts representing functionality of a device in the functional knowledge are provided by the functional concept ontology, which makes the functional knowledge consistent and applicable to other domains. We also discuss development of a design supporting system using the systematized knowledge, called a functional was server. It helps human designers redesign an existing engineering device by providing a wide range of alternative ways of achievement of the required function in a manner suitable for the viewpoint of each designer and then facilitates innovative design.

• Natural Product Sciences
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• v.10 no.6
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• pp.310-314
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• 2004

This is the re-arrangement of the 2004 Asia Nutrition & Dietary Supplement Conference organized by ABF(The Asia Business Forum) in Singapore, especially regulatory view of point of health functional foods for Korea, Japan, and China. Foods that may have health benefits beyond the traditional nutrients that they contain are often called 'Functional Foods'. The concept of functional foods has become popular in recent years, first in Japan and later in other countries, including the USA. In USA, The functional foods was controlled by ACSH (the American Council on Science and Health). In Korea, 'Functional Foods'. was defined on the 'The Law for the Health Functional Foods'(Law No. 6727 : effective as of $26^{th}$, Aug. 2002). KFDA(Korea Food and Drug Administration) is the only authority body for approval, advertisement and claims for the Health Functional Foods in Korea. In Japan, the Japan Health Food and Nutrition Food Association controls the approval, regulate functional foods' advertisement and claims under the name of FOSHU (Foods for Specified Health Uses). In China, the State Food and Drug Administration(SFDA) is the only authoritative organization for the application, supervision and administration of health related products. Asia, especially Korea, Japan and China, is one of the leader in the vitamins and dietary supplement(VDS) market. Regulatory issues on restrictions are the most important how to tap into the health functional foods market including Korea.