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FINITE SETS WITH FAKE OBSERVABLE CARDINALITY

  • Artigue, Alfonso
    • 대한수학회보
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    • 제52권1호
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    • pp.323-333
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    • 2015
  • Let X be a compact metric space and let |A| denote the cardinality of a set A. We prove that if $f:X{\rightarrow}X$ is a homeomorphism and ${\mid}X{\mid}={\infty}$, then for all ${\delta}$ > 0 there is $A{\subset}X$ such that |A| = 4 and for all $k{\in}\mathbb{Z}$ there are $x,y{\in}f^k(A)$, $x{\neq}y$, such that dist(x, y) < ${\delta}$. An observer that can only distinguish two points if their distance is grater than ${\delta}$, for sure will say that A has at most 3 points even knowing every iterate of A and that f is a homeomorphism. We show that for hyperexpansive homeomorphisms the same ${\delta}$-observer will not fail about the cardinality of A if we start with |A| = 3 instead of 4. Generalizations of this problem are considered via what we call (m, n)-expansiveness.

고객만족모형의 기대 딜레마 : 확산과 기대불일치의 통합모형 (The Expectation Dilemma of Customer Satisfaction Model : A Unified Model of Expectancy Disconfirmation and Diffusion)

  • 박상준;김현철
    • 한국경영과학회지
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    • 제28권2호
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    • pp.61-74
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    • 2003
  • Many firms try to enhance the customer satisfaction, because they believe that higher customer satisfaction leads to superior returns. According to expectancy disconfirmation model, consumers judge the satisfaction in comparison with their expectations about the product performance. If the performance is above the expectations, increase in satisfaction is expected. If the performance is below the expectations, decrease in satisfaction is expected. This explanation contradicts our beliefs that higher expectation leads to consumer's choices. To address the contradiction, this paper present a unified model which combines the expectancy disconfirmation model with the well-known diffusion model. The unified model shows that the expectation can increase the choices even if the expectation decreases the satisfaction.

아시아 건설플랜트시장의 진출방안에 대하여 - 한.일 협력방안을 중심으로 - (Regarding the Advance Scheme of Asian Construction Plant Market -Focused on Cooperation Plan of Korea and Japan-)

  • 신용하
    • 산업경영시스템학회지
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    • 제20권43호
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    • pp.381-392
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    • 1997
  • Korea and Japan have maintained an intimate relationship of economic exchange. However, even though both countries have made sound advances in the ASIAN market, they have not established mutually remarkable cooperative relations and advances in the ASIAN market. If korean companies with abundant experience and management ability provide able managers and skilled labor and if Japanese companies provide construction technology, capital and information, they could enjoy enomorous mutual benefits by advancing in the area of plant construction in foreign countries. Therefore, if they cooperate with each other by establishing complementary cooperation, both countries can gain an advantage in international competitiveness with western advanced countries.

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Where Some Inert Minimal Ring Extensions of a Commutative Ring Come from

  • Dobbs, David Earl
    • Kyungpook Mathematical Journal
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    • 제60권1호
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    • pp.53-69
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    • 2020
  • Let (A, M) ⊂ (B, N) be commutative quasi-local rings. We consider the property that there exists a ring D such that A ⊆ D ⊂ B and the extension D ⊂ B is inert. Examples show that the number of such D may be any non-negative integer or infinite. The existence of such D does not imply M ⊆ N. Suppose henceforth that M ⊆ N. If the field extension A/M ⊆ B/N is algebraic, the existence of such D does not imply that B is integral over A (except when B has Krull dimension 0). If A/M ⊆ B/N is a minimal field extension, there exists a unique such D, necessarily given by D = A + N (but it need not be the case that N = MB). The converse fails, even if M = N and B/M is a finite field.

Stability of superconductor by integration formula

  • Seol, S.Y.
    • 한국초전도ㆍ저온공학회논문지
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    • 제21권3호
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    • pp.1-5
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    • 2019
  • The superconductor stability theories are consistently described by the integral formula. If the defined stability function is a simple decreasing function, it becomes a cryogenic stability condition. If the stability function has a maximum value and a minimum value, and the maximum value is less than 0, then it is a cold-end recovery condition. If the maximum value is more than 0, it can be shown that the unstable equilibrium temperature, that is, the MPZ (minimum propagation zone) temperature distribution can exist. The MPZ region is divided into two regions according to the current ratio. At the low current ratio, the maximum dimensionless temperature is greater than 1, and at the relatively high current ratio, the maximum dimensionless temperature is less than 1. In order to predict the minimum quench energy, the dimensionless energy was obtained for the MPZ temperature distribution. In particular, it was shown that the dimensionless energy can be obtained even when the MPZ maximum temperature is 1 or more.

클로르페나피르 중독 후 지연성 사망 (Delayed death after chlorfenapyr poisoning)

  • 이장영
    • 대한임상독성학회지
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    • 제19권1호
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    • pp.51-54
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    • 2021
  • Chlorfenapyr is a widely used insecticide, that is very lethal if ingested. It exhibits delayed toxicity in which there are few symptoms at first which suddenly worsen after a few days. A 66-year-old female patient ingested about 90 mL of chlorfenapyr liquid hydrating agent (Chlofenapyr 10%) and showed stable vital signs with no specific symptoms and findings other than a mild fever, vomiting, and nausea. From the 3rd day of ingestion, creatine kinase was high, and rhabdomyolysis was suspected. From the 4th day of ingestion, pancreatic enzymes began to gradually increase. A diffusion-weighted image showed a multifocal high signal intensity in the white matter and corpus callosum area. On the 8th day after ingestion, she suffered a high fever and a heart attack and died. Thus, if a patient is suspected of taking chlorfenapyr, he/she needs active treatment and monitoring even if he/she does not exhibit any symptoms.

FORBIDDEN THETA GRAPH, BOUNDED SPECTRAL RADIUS AND SIZE OF NON-BIPARTITE GRAPHS

  • Shuchao Li;Wanting Sun;Wei Wei
    • 대한수학회지
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    • 제60권5호
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    • pp.959-986
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    • 2023
  • Zhai and Lin recently proved that if G is an n-vertex connected 𝜃(1, 2, r + 1)-free graph, then for odd r and n ⩾ 10r, or for even r and n ⩾ 7r, one has ${\rho}(G){\leq}{\sqrt{{\lfloor}{\frac{n^2}{4}}{\rfloor}}}$, and equality holds if and only if G is $K_{{\lceil}{\frac{n}{2}}{\rceil},{\lfloor}{\frac{n}{2}}{\rfloor}}$. In this paper, for large enough n, we prove a sharp upper bound for the spectral radius in an n-vertex H-free non-bipartite graph, where H is 𝜃(1, 2, 3) or 𝜃(1, 2, 4), and we characterize all the extremal graphs. Furthermore, for n ⩾ 137, we determine the maximum number of edges in an n-vertex 𝜃(1, 2, 4)-free non-bipartite graph and characterize the unique extremal graph.

An Upper Bound for the Probability of Generating a Finite Nilpotent Group

  • Halimeh Madadi;Seyyed Majid Jafarian Amiri;Hojjat Rostami
    • Kyungpook Mathematical Journal
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    • 제63권2호
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    • pp.167-173
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    • 2023
  • Let G be a finite group and let ν(G) be the probability that two randomly selected elements of G produce a nilpotent group. In this article we show that for every positive integer n > 0, there is a finite group G such that ${\nu}(G)={\frac{1}{n}}$. We also classify all groups G with ${\nu}(G)={\frac{1}{2}}$. Further, we prove that if G is a solvable nonnilpotent group of even order, then ${\nu}(G){\leq}{\frac{p+3}{4p}}$, where p is the smallest odd prime divisor of |G|, and that equality exists if and only if $\frac{G}{Z_{\infty}(G)}$ is isomorphic to the dihedral group of order 2p where Z(G) is the hypercenter of G. Finally we find an upper bound for ν(G) in terms of |G| where G ranges over all groups of odd square-free order.

분광반사율에 기반한 색영상처리 시스템 개발 (Development of Color Image Processing System based on Spectral Reflectance Ratio)

  • 방상택;오현수;안석출
    • 한국인쇄학회지
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    • 제18권1호
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    • pp.25-33
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    • 2000
  • In recent year, many imaging systems have been developed, and it became increasingly important to exchange image data through the computer network. Therefore, it is required to reproduce color image independently on each imaging device. However, even if the image are same, perceived color is not always same under different viewing conditions. On the other hand, even if the image are different, we want to perceive same color under different viewing conditions. Therefore we must know the spectral reflectance information of object. We measured many reflectance human skin can be estimate using only three principal component. For Munsell color patches, five principle components were necessary to estimate the reflectance spectra. For that purpose, we have developed color image acquisition system that is composed of five band filters and CCD camera. Improved spectral reflectance of object is predicted by five band images taken by color image acquisition system and then we take account of camera's noise and component of object image for predicting accurate spectral reflectance of object. In the results, we confirmed that color difference and MSE(Mean Square Error) between measured and predicted spectral reflectance of object decreased into 0.0071 and 7.72 respectively.

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An Efficient Quadtree Method Based on SDT for Noise Image

  • Cho Gang Seok;Chung Hoon;Chung Yong Duk;Jung Byung Yoon;oh Sung Shik;Kim Chung Hwa
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2004년도 학술대회지
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    • pp.640-644
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    • 2004
  • Since the existing quadtree image segmentation methods decide the presence of image information using the maximum and minimum pixel value within an image block, they are very sensitive to noise. Although many image segmentation methods have been researched up to date, they can not execute the optimum image segmentation if noise is included in an image because there is no accurate parameters which can distinguish noise. For that reason, all application using the existing quadtree segmentation has potential of decreasing in performance due to noise. This paper proposed a quadtree image segmentation based on SDT (Standard Deviation Threshold) that can effectively extract image information parameters from a noise image. This method has the advantage of distinguishing the presence of image information even if the image has noises caused by communication. Furthermore, this paper verified through test comparison that the proposed quadtree segmentation could estimate more accurate image information parameters than the existing ones even in noise-added environment.

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