• Kyungpook Mathematical Journal
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• v.43 no.4
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• pp.519-538
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• 2003

This paper delineates some fundamental properties of the set of strongly unique best coapproximation. Uniqueness of strongly unique best coapproximation is studied. Some characterizations of strongly unique best coapproximation and strongly unique best approximation are obtained. Some more results concerning strongly unique best uniform coapproximation and strongly unique best uniform approximation are presented. Some relations between best uniform approximation and strongly unique best uniform coapproximation are established.

• Journal of the Korean Mathematical Society
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• v.58 no.3
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• pp.741-760
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• 2021

In this paper, we exhibit the equivalence between different notions of unique range sets, namely, unique range sets, weighted unique range sets and weak-weighted unique range sets under certain conditions. Also, we present some uniqueness theorems which show how two meromorphic functions are uniquely determined by their two finite shared sets. Moreover, in the last section, we make some observations that help us to construct other new classes of unique range sets.

• Science of Emotion and Sensibility
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• v.5 no.2
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• pp.73-78
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• 2002

The unique colors of paper, that is, blue, green, red, and yellow were used in the estimation of color from the subjective feeling. The monochrome with unique color or the unique color surrounded with the background color was presented. subject gazed the monochrome or the unique color, which was tailed target rotor. The target and background color were the complementary color each other. The various ratios of the area of gazed color and background were taken. Subject answered the level of subjective feeling consisted of pair of adjective items for unique color presented. With the use of the subjective feeling for the target color presented, the estimation of the unique color was cai\ulcornerlied out due to Fuzzy theory and neural networks. The results of color difference between unique color presented and the estimated color gave very small value for the case without background, while the results of the case with background color depended on the ratio of area of presented color and background color till the ration of 2:1, The relation showed the Kirschman's law, The color difference saturated In the increase of area of background with the ratio more than 2:1.

• Proceedings of the Korean Society for Emotion and Sensibility Conference
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• 2002.05a
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• pp.261-265
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• 2002

The unique colors of paper, that is, blue, green, red, and yellow were used in the estimation of color from the subjective feeling. The monochrome with unique color or the unique color surrounded with the background color was presented. Subject gazed the monochrome or the unique color, which was called target color. The target and background color were the complementary color each other. The various ratios of the area of gazed color and background were taken. Subject answered the level of subjective feeling consisted of pair of adjective items for unique color presented. With the use of the subjective feeling fer the target color presented, the estimation of the unique color was carried out due to Fuzzy theory and neural networks. The results of color difference between unique color presented and the estimated color gave very small value for the case without background, while the results of the case with background color depended on the ratio of area of presented color and background color till the ration of 2:1, The relation showed the Kirschman's law. The color difference saturated in the increase of area of background with the ratio more than 2:1.

• Journal of the Korean Mathematical Society
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• v.34 no.3
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• pp.533-541
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• 1997

Unique factorization of 2-dimensional complete intersection is investiagted by using the determinant method introduced by D. Eisenbud.

• Journal of the Korean Society of Clothing and Textiles
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• v.47 no.6
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• pp.1113-1136
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• 2023

With increasing interest in sustainability, several fashion and beauty brands have developed and offered unique types of sustainable packaging in their stores (e.g., 'knot-wrap,' 'seaweed-based' packaging). The purpose of this study was to investigate the perceived value (i.e., green, aesthetic, functional, emotional, social, self-expression) of unique types of sustainable packaging and its impact on consumers' packaging evaluation, store evaluation, and store patronage intentions in the context of a fashion retail store. This study also assessed the moderating effects of consumer innovativeness and environmental concern. Data were collected from 210 US consumers aged 18 to 26 years through Amazon MTurk. The results of structural equation modeling revealed that green, emotional, self-expression, functional, and aesthetic values perceived from unique types of sustainable packaging had significant positive impacts on packaging evaluation. Packaging evaluation, in turn, positively impacted store evaluation, subsequently influencing store patronage intentions. Consumer innovativeness and environmental concern moderated several paths between the variables. This study adds to the existing literature on sustainable packaging by investigating consumer responses to sustainable packaging that incorporates the 'uniqueness' aspect. Managerial implications regarding the importance of developing and offering unique types of sustainable packaging for fashion brands in their retail stores are discussed.

• Journal of applied mathematics & informatics
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• v.26 no.3_4
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• pp.779-784
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• 2008

We show that $\mathbb{Z}[\sqrt{-p}]$ is not a unique factorization domain (UFD) but a factorization domain (FD) with a condition $1\;+\;a^2p\;=\;qr$, where a and p are positive integers and q and r are positive primes in $\mathbb{Z}$ with q < p. Using this result, we also construct several specific non-unique factorization domains which are factorization domains. Furthermore, we prove that an integral domain $\mathbb{Z}[\sqrt{-p}]$ is not a UFD but a FD for some positive integer p.

• Journal for History of Mathematics
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• v.16 no.3
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• pp.89-94
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• 2003

Though the concept of unique factorization was formulated in tile 19th century, Euclid already had considered the prime factorization of natural numbers, so called tile fundamental theorem of arithmetic. The unique factorization of algebraic integers was a crucial problem in solving elliptic equations and the Fermat Last Problem in tile 19th century On the other hand the unique factorization of the formal power series ring were a critical problem in the past century. Unique factorization is one of the idealistic condition in computation and prime elements and prime ideals are vital ingredients in thinking and solving problems.

• The Pure and Applied Mathematics
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• v.5 no.1
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• pp.45-54
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• 1998

We study the space-times that have a unique terminal indecomposable past set or a unique terminal indecomposable future set and examine their causal boundary, and we investigate some conditions for the warped product space-times of the form (a, b) ${\times}_fF$ to have a unique terminal indecomposable past set or a unique terminal indecomposable future set.

• Journal of the Chungcheong Mathematical Society
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• v.15 no.2
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• pp.25-34
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• 2003

We prove a local unique continuation for Schr$\ddot{o}$dinger equations with time independent coefficients. The method of proof combines a technique of Fourier-Gauss transformation and a Carleman inequality for parabolic operator.