• Honam Mathematical Journal
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• v.22 no.1
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• pp.37-46
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• 2000

We prove the stability of a generalized Cauchy functional equation of the form ; $$f(a_1x+a_2y)=b_1f(x)+b_2f(y)+w.$$ That is, we obtain a partial answer for the open problem which was posed by the Th.M Rassias and J. Tabor on the stability for a generalized functional equation.

• Food Science of Animal Resources
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• v.29 no.5
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• pp.545-549
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• 2009

The functional properties of cheese, such as texture and melt, are known to be controlled by several important parameters. Recently, the characteristics of Ca in cheeses, especially the form of Ca (insoluble (INSOL) or soluble) and the shift in Ca equilibrium (i.e., from INSOL to soluble Ca), during aging has received a lot of attention. The INSOL form of Ca, which is present as a structural form in casein, plays a critical role in determining the functional properties of cheese during the early period of ripening (~1 mon). It seems that there is always a reduction of INSOL Ca content in cheese during ripening and there are also factors that can affect the shift in Ca equilibrium. These factors may include the composition of cheese milk, cheese manufacturing pH, acid development during aging, adopting curd-washing in various methods, pre-acidification of milk, etc. There have been many studies showing that the rheological and melting properties of cheese during ripening were significantly (p<0.05) affected by the shift in Ca equilibrium. Therefore, for cheese makers, it is now possible to predict/manage the functional properties of cheese by monitoring and controlling Ca equilibrium in cheese during aging.

• Journal of the Korean Institute of Telematics and Electronics C
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• v.34C no.9
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• pp.43-52
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• 1997

Processors using the superscalar rchitecture can achieve high performance by executing multipel instructions in a clock cycle. It is made possible by having multiple functional units and issuing multiple instructions to functional units simultaneously. But instructions can be dependent on one another and these dependencies prevent some instructions form being issued at the same cycle. In this paper, we designed an issue unit of a superscalar RISC microprocessor that can issue four instructions per cycle. The issue unit receives instructions form a prefetch unit, and issues them in order at a rate of as high as four instructions in one cycle for maximum utilization of functional units. By using an instruction buffer, the unit decouples instruction fetch and issue to improve instruction ussue rate. The issue unit is composed of an instruction buffer and an instruction decoder. The instruction buffer aligns and stores instructions from the prefetch unit, and sends the earliest four available isstructions to the instruction decoder. The instruction decoder decodes instructions, and issues them if they are free form data dependencies and necessary functional units and rgister file prots are available. The issue unit is described with behavioral level HDL (lhardware description language). The result of simulation using C programs shows that instruction issue rate is improved as the instruction buffer size increases, and 12-entry instruction buffer is found to be optimum considering performance and hardware cost of the instruction buffer.

• Journal of applied mathematics & informatics
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• v.9 no.2
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• pp.837-844
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• 2002

In this paper, we obtain the Hyers-Ulam Stability for the difference equations of the form f(x + 1) = $\Gamma$(x)f(x), which is the reciprocal functional equation of the double gamma function.

• Journal of applied mathematics & informatics
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• v.6 no.3
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• pp.929-935
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• 1999

By applications of the stability for a class of functional equa-tions we obtain the hyers-Ulam stability for the equations of the form g($\chi$+y)=kg($\chi$)g(y) in the following setting; ｜g($\chi$+y)-kg($\chi$)g(y)｜$\leq$$\Delta$($\chi$,y).

• Nutrition Research and Practice
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• v.5 no.4
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• pp.313-321
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• 2011

The Korea Food and Drug Administration (KFDA) revised the Health Functional Food Act in 2008 and extended the form of health functional foods to general food types. Therefore, this study was performed to investigate consumers' perceptions of the expanded form of health functional food and to predict consumption patterns. For this study, 1,006 male and female adults aged 19 years and older were selected nationwide by multi-stage stratified random sampling and were surveyed in 1:1 interviews. The questionnaire survey was conducted by Korea Gallup. The subjects consisted of 497 (49.4%) males and 509 (50.6%) females. About 57.9% of the subjects recognized the KFDA's permission procedures for health functional foods. Regarding the health functional foods that the subjects had consumed, red ginseng products were the highest (45.3%), followed by nutritional supplements (34.9%), ginseng products (27.9%), lactobacillus-containing products (21.0%), aloe products (20.3%), and Japanese apricot extract products (18.4%). Opinions on expanding the form of health functional foods to general food types scored 4.7 points on a 7-point scale, showing positive responses. In terms of the effects of medicine-type health functional foods versus generic health functional foods, the highest response was 'same effects if the same ingredients are contained' at a rate of 34.7%. For intake frequency by food type, the response of 'daily consistent intake' was 31.7% for capsules, tablets, and pills, and 21.7% for extracts. For general food types, 'daily consistent intake' was 44.5% for rice and 22.8% for beverages, which were higher rates than those for medicine types. From the above results, consumers had positive opinions of the expansion of health functional foods to generic forms but are not expected to maintain accurate intake frequencies or amounts. Thus, continuous promotion and education are needed for proper intake of generic health functional foods.

• Honam Mathematical Journal
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• v.31 no.3
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• pp.451-462
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• 2009

In this paper we prove the superstability of a generalized exponential functional equation $f(x+y)=a^{2xy-1}g(x)f(y)$. It is a generalization of the superstability theorem for the exponential functional equation proved by Baker. Also we investigate the stability of this functional equation in the following form : ${\frac{1}{1+{\delta}}}{\leq}{\frac{f(x+y)}{a^{2xy-1}g(x)f(y)}}{\leq}1+{\delta}$.

• Journal of the Chungcheong Mathematical Society
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• v.31 no.2
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• pp.199-230
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• 2018

In this paper, we introduce the general form of a viginti functional equation. Then, we find the general solution and study the generalized Ulam-Hyers stability of such functional equation in multi-Banach spaces by using fixed point technique. Also, we indicate an example for non-stability case regarding to this new functional equation.

• Communications of the Korean Mathematical Society
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• v.20 no.1
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• pp.93-106
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• 2005

In this paper, we obtain the generalization of the Hyers-Ulam-Rassias stability in the sense of Gavruta and Ger of the generalized G-type functional equations of the form $f({{\varphi}(x)) = {\Gamma}(x)f(x)$. As a consequence in the cases ${\varphi}(x) := x+p:= x+1$, we obtain the stability theorem of G-functional equation : the reciprocal functional equation of the double gamma function.

• Proceedings of the PSK Conference
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• 2003.04a
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• pp.96-98
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• 2003

1. Standard and regulations for functional food evaluation cases form overseas (1) Japan For food function indication, Food Nutrition Improvement Act was amended in September 1991 and they managed functional food after setting specific health food in one of classification of special functional foods. For manification of raw material usage, the classification of health functional foods was performed by their application on: the control of internal organ status, cholesterol, blood pressure, mineral absorption, and prevention of dental caries. (omitted)