• Title/Summary/Keyword: Common property of the society

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WEAK AND STRONG CONVERGENCE TO COMMON FIXED POINTS OF NON-SELF NONEXPANSIVE MAPPINGS

  • Su, Yongfu;Qin, Xiaolong
    • Journal of applied mathematics & informatics
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    • v.24 no.1_2
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    • pp.437-448
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    • 2007
  • Suppose K is a nonempty closed convex nonexpansive retract of a real uniformly convex Banach space E with P as a nonexpansive retraction. Let $T_1,\;T_2\;and\;T_3\;:\;K{\rightarrow}E$ be nonexpansive mappings with nonempty common fixed points set. Let $\{\alpha_n\},\;\{\beta_n\},\;\{\gamma_n\},\;\{\alpha'_n\},\;\{\beta'_n\},\;\{\gamma'_n\},\;\{\alpha'_n\},\;\{\beta'_n\}\;and\;\{\gamma'_n\}$ be real sequences in [0, 1] such that ${\alpha}_n+{\beta}_n+{\gamma}_n={\alpha}'_n+{\beta'_n+\gamma}'_n={\alpha}'_n+{\beta}'_n+{\gamma}'_n=1$, starting from arbitrary $x_1{\in}K$, define the sequence $\{x_n\}$ by $$\{zn=P({\alpha}'_nT_1x_n+{\beta}'_nx_n+{\gamma}'_nw_n)\;yn=P({\alpha}'_nT_2z_n+{\beta}'_nx_n+{\gamma}'_nv_n)\;x_{n+1}=P({\alpha}_nT_3y_n+{\beta}_nx_n+{\gamma}_nu_n)$$ with the restrictions $\sum^\infty_{n=1}{\gamma}_n<\infty,\;\sum^\infty_{n=1}{\gamma}'_n<\infty,\; \sum^\infty_{n=1}{\gamma}'_n<\infty$. (i) If the dual $E^*$ of E has the Kadec-Klee property, then weak convergence of a $\{x_n\}$ to some $x^*{\in}F(T_1){\cap}{F}(T_2){\cap}(T_3)$ is proved; (ii) If $T_1,\;T_2\;and\;T_3$ satisfy condition(A'), then strong convergence of $\{x_n\}$ to some $x^*{\in}F(T_1){\cap}{F}(T_2){\cap}(T_3)$ is obtained.

Effect of Super Heated Steam Treatment on Physical Property and Smoke Component of Burley Cut Tobacco (과열증기처리에 의한 Burley종 각초의 물리성 및 연기성분 변화에 관한 연구)

  • 김천석;안기영
    • Journal of the Korean Society of Tobacco Science
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    • v.17 no.2
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    • pp.139-148
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    • 1995
  • This study was carried out to investigate the effects of super heated steam on the physical and chemical changes of burley cut tobacco. Total sugar, total alkaloid, ether extracts, crude ash, total nitrogen and pH for leaf chemical constituents were analyzed. Filling power and fineness index for physical properties, and carbonyl compounds, phenol compounds, amonia, pH, hydrogen cyanide nicotine, carbon monoxide, total volatile base and tar for smoke components were also analyzed. The cut tobacco treated with super heated steam showed significant decrease in total sugar and total alkaloid. The filling power of the sample treated with the super heated steam system was increased abruptly when heated at over 250℃. The fineness index showed similar tendency to that of common toast method. Super heated steam treatment slightly decreased carbonyl compounds, phenol compounds, hydrogen cyanide, nicotine, carbon monoxide and tar in the tobacco. Especially the decrease of ammonia was the most remarkable. The pH of smoke was a little different compared with that in the common toast. The sensory test results showed that, compared to the common conveyer moving system, the tobacco treated with super heated steam system brought out more roasted flavor, lowered impact, irritation, and sting, further improved aftertaste, and lowered bitterness. The super heated steam treatment method used in the studies is expected to give better filling power, mild taste and toasted odor of tobacco than that of the common method for toast treatment. Key words : burley tobacco, super heated steam, expansion, toast.

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A study on logit choice probability model taking into account the problems of common-nodes and common-links (노드중복과 링크중복문제를 고려한 로짓선택확률의 비교연구)

  • 백승걸;임용택;임강원
    • Journal of Korean Society of Transportation
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    • v.18 no.2
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    • pp.63-71
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    • 2000
  • One Problem of the choice Property in logit model is interpreted as the Problem of common links and common nodes in choice set. Common node Problem Plays important role in deciding the efficiency of network loading and common link problem is connected with choice Problem, both of which are to be solved to improve the logit choice model. Although much need has been pointed out for research on the topic, however, no Paper as yet considers these two factors at the same time. In the Paper we develop a new logit formulation, which is able to ease the logit Problem, widely known as the Problem of IIA(Independence of Irrelevant Alternatives). An example network is used to assess the Proposed model and compare it with other conventional models. From the results, we find out that the model is superior to others.

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A Study on Accounting for Fishery Right (어업권 회계에 관한 연구)

  • 정준수;김태용
    • The Journal of Fisheries Business Administration
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    • v.11 no.1_2
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    • pp.115-155
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    • 1980
  • Nowadays managers of fisheries enterprises and users of accounting information have a considerable interest in the fishery right. The fishery right, which is given by administrative quarters, is referred to exclusive fishing right in a certain coastal fishing ground, and it has been one of the property rights since the turn of the century. The main purpose of this study is to provide an improved accounting method of the fishery right from the side of accounting. To achieve this purpose, legal nature of the fishery right should be understood in the first place, for the fishery right, an intangible asset, is a sort of property right guaranteed by the fisheries laws, According to the basic law in the fisheries "Fisheries Law, " the fishery right is broken down largely into three categories; culture fishing right, set fishing right and common fishing right. The legal characteristics of these fishery rights are as followings: 1. The fishery right is a private right. 2. The fishery right is a property right. 3. The fishery right is a right in rem, and legal provisions pertaining to land are applied to the fishery right with necessary modifications. In addition to the above fishery rights, the Fisheries Law provides some provisions on the so-called entrance right, and those who obtained the right are authorized to access to a certain common fishing right fishing ground where they have been traditionally fishing. In the inland fisheries, the fishery right system similar to that of the coastal fisheries discussed above is adopted in conformity with the Inland Fisheries Developing and Expediting Law. Viewing from an angle of accounting, there are two kinds of additional fishing rights which are dealt as assets. These fishery rights dealt as asset include the license of entry in the so-called permitted fishing which is also called as fishery right in plain language, and tile entrance right obtained abroad. Although these two kinds of rights are not the fishery right from a viewpoint of law, they are regarded as fishing rights in accounting which intends to provide a useful economic information.formation.

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APPROXIMATION OF COMMON FIXED POINTS OF NON-SELF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

  • Kim, Jong-Kyu;Dashputre, Samir;Diwan, S.D.
    • East Asian mathematical journal
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    • v.25 no.2
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    • pp.179-196
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    • 2009
  • Let E be a uniformly convex Banach space and K a nonempty closed convex subset which is also a nonexpansive retract of E. For i = 1, 2, 3, let $T_i:K{\rightarrow}E$ be an asymptotically nonexpansive mappings with sequence ${\{k_n^{(i)}\}\subset[1,{\infty})$ such that $\sum_{n-1}^{\infty}(k_n^{(i)}-1)$ < ${\infty},\;k_{n}^{(i)}{\rightarrow}1$, as $n{\rightarrow}\infty$ and F(T)=$\bigcap_{i=3}^3F(T_i){\neq}{\phi}$ (the set of all common xed points of $T_i$, i = 1, 2, 3). Let {$a_n$},{$b_n$} and {$c_n$} are three real sequences in [0, 1] such that $\in{\leq}\;a_n,\;b_n,\;c_n\;{\leq}\;1-\in$ for $n{\in}N$ and some ${\in}{\geq}0$. Starting with arbitrary $x_1{\in}K$, define sequence {$x_n$} by setting {$$x_{n+1}=P((1-a_n)x_n+a_nT_1(PT_1)^{n-1}y_n)$$ $$y_n=P((1-b_n)x_n+a_nT_2(PT_2)^{n-1}z_n)$$ $$z_n=P((1-c_n)x_n+c_nT_3(PT_3)^{n-1}x_n)$$. Assume that one of the following conditions holds: (1) E satises the Opial property, (2) E has Frechet dierentiable norm, (3) $E^*$ has Kedec -Klee property, where $E^*$ is dual of E. Then sequence {$x_n$} converges weakly to some p${\in}$F(T).

The Assessment of Hand for Enzyme Hydrolyzed Denim fabrics(Part I) (셀룰라아제 처리된 데님직물의 태에 관한 연구(제1보);주관적인 태 평가를 위한 척도개발)

  • 김경애;이미식;김정희
    • Journal of the Korean Society of Clothing and Textiles
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    • v.23 no.8
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    • pp.1139-1148
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    • 1999
  • This paper discussed the assessment of hand of denim fabrics finished by enzymatic hydrolysis. The semantic differential scale established using the database collected from university students. Analyzing the subjective rating by common factor analysis with oblimin rotation five factors expressing the hand were induced. Factor one was the surface property related to the surface roughness or softness Factor two was the durability which was related to the compactness and bearing strength Factor three was the sense of weight which was related to the thickness and weight. The moisture related properties and the sense of shape recovery were the forth and fifth factors respectively. the evaluations on the surface property weight and moisture related properties were similar by men and women However the shape recovery and the durability were evaluated differently. Surface and weight related properties were important factors judging the hand of fabrics by both group.

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Emulsifying Property of Carboxymethylchitin

  • Byun, Hee-Guk;Park, Pyo-Jam;Kim, Se-Kwon
    • Proceedings of the Korean Society of Fisheries Technology Conference
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    • 2001.10a
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    • pp.237-238
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    • 2001
  • Chitin is the second most abundant natural polymer after cellulose. It is mainly extracted from crustaceous shells and cell walls of fungi, insects and yeast. Chitin is known to be insoluble in most common solvents except for strong acids or N,N-dimethylacetamid because of its rigid crystalline structure through intra- and intermolecular hydrogen bonds. Therefore, different derivatives have been prepared based on chemical and enzymic modification of chitin. (omitted)

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A CHARACTERIZATION OF GAMMA DISTRIBUTION BY INDEPENDENT PROPERTY

  • Lee, Min-Young;Lim, Eun-Hyuk
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.1
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    • pp.1-5
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    • 2009
  • Let {$X_n,\;n{\geq}1}$ be a sequence of independent identically distributed(i.i.d.) sequence of positive random variables with common absolutely continuous distribution function(cdf) F(x) and probability density function(pdf) f(x) and $E(X^2)<{\infty}$. The random variables $\frac{X_i{\cdot}X_j}{(\Sigma^n_{k=1}X_k)^{2}}$ and $\Sigma^n_{k=1}X_k$ are independent for $1{\leq}i if and only if {$X_n,\;n{\geq}1}$ have gamma distribution.

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PROPERTIES OF A κTH ROOT OF A HYPONORMAL OPERATOR

  • Ko, Eun-Gil
    • Bulletin of the Korean Mathematical Society
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    • v.40 no.4
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    • pp.685-692
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    • 2003
  • In this paper, we study some properties of (equation omitted) (defined below). In particular we show that an operator T $\in$(equation omitted) satisfying the translation invariant property is hyponormal and an invertible operator T $\in$ (equation omitted) and its inverse T$^{-1}$ have a common nontrivial invariant closed set. Also we study some cases which have nontrivial invariant subspaces for an operator in (equation omitted).

ON A SECURE BINARY SEQUENCE GENERATED BY A QUADRATIC POLYNOMIAL ON $\mathbb{Z}_{2^n}$

  • Rhee, Min-Surp
    • Journal of applied mathematics & informatics
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    • v.29 no.1_2
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    • pp.247-255
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    • 2011
  • Invertible functions with a single cycle property have many cryptographic applications. The main context in which we study them in this paper is pseudo random generation and stream ciphers. In some cryptographic applications we need a generator which generates binary sequences of period long enough. A common way to increase the size of the state and extend the period of a generator is to run in parallel and combine the outputs of several generators with different period. In this paper we will characterize a secure quadratic polynomial on $\mathbb{Z}_{2^n}$, which generates a binary sequence of period long enough and without consecutive elements.