• Journal of the Chungcheong Mathematical Society
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• v.36 no.3
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• pp.155-162
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• 2023

We study permutatons that satisfy a necessary and sufficient condition for the equality of Fulton's essential set and the maximal-inversion-descent(MID) set.

• Journal of the Korean Mathematical Society
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• v.38 no.3
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• pp.669-681
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• 2001

This paper introduces the notions of essential and inessential map for countably $textsc{k}$-set contractive maps. These ideas enable us to establish a Krasnoselskii-Petryshyn compression and expansion theorem in a cone for countably $textsc{k}$-set contractive maps.

• Journal of the Chungcheong Mathematical Society
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• v.25 no.2
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• pp.341-347
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• 2012

The Reidemeister orbit set plays a crucial role in the Nielsen type theory of periodic orbits, much as the Reidemeister set does in Nielsen fixed point theory. Extending our work on Reidemeister orbit sets, we improve our theorem for formulae for Nielsen type essential orbit numbers.

• Kyungpook Mathematical Journal
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• v.60 no.3
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• pp.423-443
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• 2020

Generalizations of essential arity of partial functions, based on essential sets of arguments, are introduced, and their interplay with the minor relation of functions is investigated.

• The Journal of Society for e-Business Studies
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• v.4 no.2
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• pp.59-79
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• 1999

In order to construct a successful electronic commerce system, three main essential factors must be satisfied to obtain the best effective outcomes. The three main essential factors are as follows : economic factor, effectiveness factor and convenient factor. In order to understand the role of these three factors, one must have some insight knowledge about security to assist him to implement these three factors in his construction of an electronic commerce system. This paper analyses a implementation mechanism of security systems based on the SET 1.0 standard for electronic commerce systems, thus providing an effective plan for the construction of a security system in the SET-based electronic commerce field. This paper helps to analyse the elements of security vulnerabilities in the SET 1.0 standard implementation and also helps to understand the SET 1.0 protocol.

• Korean Journal of Mathematics
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• v.17 no.2
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• pp.161-167
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• 2009

Category Fuz of fuzzy sets has a similar function to the Category Set. We study injective, absolute retract, enough injectives, injective hulls and essential extension in the Category Fuz of fuzzy sets.

• Communications of the Korean Mathematical Society
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• v.21 no.1
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• pp.193-209
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• 2006

The Reidemeister orbit set plays a crucial role in the Nielsen type theory of periodic orbits, much as the Reidemeister set does in Nielsen fixed point theory. In this paper, extending Cardona and Wong's work on relative Reidemeister numbers, we show that the Reidemeister orbit numbers can be used to calculate the relative essential orbit numbers. We also apply the relative Reidemeister orbit number to study periodic orbits of fibre preserving maps.

• Journal of the Chungcheong Mathematical Society
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• v.27 no.4
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• pp.721-734
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• 2014

The Reidemeister orbit set plays a crucial role in the Nielsen type theory of periodic orbits, much as the Reidemeister set does in Nielsen fixed point theory. Extending our work on Reidemeister orbit sets, we obtain algebraic results such as addition formulae for irreducible Reidemeister orbit sets. Similar formulae for Nielsen type irreducible essential orbit numbers are also proved for fibre preserving maps.

• Nutrition Research and Practice
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• v.16 no.sup1
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• pp.126-133
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• 2022

Choline is a water-soluble organic compound that is important for the normal functioning of the body. It is an essential dietary component as de novo synthesis by the human body is insufficient. Since the United States set the Adequate Intakes (AIs) for total choline as dietary reference values in 1998, Australia, China, and the European Union have also established the choline AIs. Although choline is clearly essential to life, the 2020 Dietary Reference Intakes for Koreans (KDRIs) has not established the values because very few studies have been done on choline intake in Koreans. Since choline intake levels differ by race and country, human studies on Koreans are essential to set KDRIs. Therefore, the present study was undertaken to provide basic data for developing choline KDRIs in the future by analyzing data on choline intake in Koreans to date and reference values of choline intake and dietary choline intake status by country and race.

• Journal of the Korean Institute of Telematics and Electronics
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• v.21 no.1
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• pp.57-61
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• 1984

This paper deals with the selection of minimal test instruction set for microprocessor data processing test. This test method is based on a function description of the instructions which are obtained from the data given by the user's manual. Selecting procedure is done in 3 steps: 1) a test execution graphs are represented on the instructions which are grouped functionally, 2) the essential graphs, the eliminable graphs, the eliminable graphs, and the eligible graphs are built, 3) optimal test instruction set from the essential graphs and the eligible graphs is defined. In the case of INTEL 8048, 50 test instructions can be selected optimally from 8048 instruction repertories (96 instructions)