• Title/Summary/Keyword: set of uniqueness

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ON BI-POINTWISE CONTROL OF A WAVE EQUATION AND ALGORITHM

  • Kim, Hong-Chul;Lee, Young-Il
    • Journal of applied mathematics & informatics
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    • v.7 no.3
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    • pp.739-763
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    • 2000
  • We are concerned with mathematical analysis related to the bi-pointwise control for a mixed type of wave equation. In particular, we are interested in the systematic build-up of the bi-pointwise control actuators;one at the boundary and the other at the interior point simultaneously. The main purpose is to examine Hilbert Uniqueness Method for the setting of bi-pointwise control actuators and to establish relevant algorithm based on our analysis. After discussing the weak solution for the state equation, we investigate bi-pointwise control mechanism and relevant mathematical analysis based on HUM. We then proceed to set up an algorithm based on the conjugate gradient method to establish bi-pointwise control actuators to halt the system.

THE CONDITIONAL COVERING PROBLEM ON UNWEIGHTED INTERVAL GRAPHS

  • Rana, Akul;Pal, Anita;Pal, Madhumangal
    • Journal of applied mathematics & informatics
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    • v.28 no.1_2
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    • pp.1-11
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    • 2010
  • The conditional covering problem is an important variation of well studied set covering problem. In the set covering problem, the problem is to find a minimum cardinality vertex set which will cover all the given demand points. The conditional covering problem asks to find a minimum cardinality vertex set that will cover not only the given demand points but also one another. This problem is NP-complete for general graphs. In this paper, we present an efficient algorithm to solve the conditional covering problem on interval graphs with n vertices which runs in O(n)time.

INVERSE PROBLEM FOR INTERIOR SPECTRAL DATA OF THE DIRAC OPERATOR

  • Mochizuki, Kiyoshi;Trooshin, Igor
    • Communications of the Korean Mathematical Society
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    • v.16 no.3
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    • pp.437-443
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    • 2001
  • In this paper the inverse problems for the Dirac Operator are studied. A set of values of eigenfunctions in some internal point and spectrum are taken as a data. Uniqueness theorems are obtained. The approach that was used in the investigation of inverse problems for interior spectral data of the Sturm-Liouville operator is employed.

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Strongly Unique Best Coapproximation

  • RAO, GEETHA S.;SARAVANAN, R.
    • 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.

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Locally Competitive Equilibrium and Properties (부분 경쟁 균형 및 균형의 특성)

  • Kim, Do-Whan
    • Korean Management Science Review
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    • v.26 no.1
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    • pp.1-5
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    • 2009
  • I study a solution concept which preserves the nice Nash equilibrium properties of two-person zero-sum games, and define a locally competitive equilibrium which is characterized by a saddle point with respect to the coordinates of strategies. I show that a locally competitive equilibrium shares the properties of uniqueness of equilibrium payoffs, interchangeablity of equilibrium strategies and convexity of the equilibrium set.

One-sided best simultaneous $L_1$-approximation for a compact set

  • Park, Sung-Ho;Rhee, Hyang-Joo
    • Bulletin of the Korean Mathematical Society
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    • v.35 no.1
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    • pp.127-140
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    • 1998
  • In this paper, we discuss the characterizations and uniqueness of a one-sided best simultaneous approximation for a compact subset from a convex subset of a finite-dimensional subspace of a normed linear space $C_1(X)$. The motivation is furnished by the characterizations of the one-sided best simultaneous approximations for a finite subset ${f_1, \ldots, f_\ell}$ for any $\ell \in N$.

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Existence Results for the Nonlinear First Order Fuzzy Neutral Integrodifferential Equations

  • Radhakrishnan, Bheeman;Nagarajan, Murugesan;Narayanamoorthy, Samayan
    • Kyungpook Mathematical Journal
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    • v.53 no.1
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    • pp.87-98
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    • 2013
  • In this paper, we devoted to study the existence and uniqueness of nonlinear fuzzy neutral integrodifferential equations. Moreover we study the fuzzy solution for the normal, convex, upper semicontinuous, and compactly supported interval fuzzy number. The results are obtained by using the Banach fixed-point theorem. An example is provided to illustrate the theory.

The Effect of Contexts, Clothing Cues and Perceiver's Age on Male Impressions. (상황, 의복단서 및 관찰자의 연령이 남자 의복착용자의 인상에 미치는 영향)

  • 남미우;강혜원
    • Journal of the Korean Society of Clothing and Textiles
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    • v.18 no.3
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    • pp.311-326
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    • 1994
  • The purpose of this study was to identify 1) the effect of two contexts (job interview, Informal outing) and clothing cues (type, style, color) on male impresssions 2) the effect of perceiver's age on male impressions created by the clothing cues and contexts. The subjects consisted of 256 male undergraduate students and 256 middle-aged men. The experimental materials developed for this study were a set of stimuli and response scales. The stimuli were 8 color photographs of drawings of a male figure in clothing which were manipulated in two levels, each of three clothing cues including type, style and color. The experimental design was full factorial design of $(2^4contex^2{\times}clothing type^2{times}clthing color^2$. Each of the 16 sub-samples includes 16 subjects from the two perceiver group. Questionnaires used to measure perceivers responses to the stimuli were 7-point semantic differential scales composed of 37 bipolar adjectives representing personal traits. The data was processed by factor analysis, ANOVA, multiple classification analysis, Duncan's multiple range test. The major findings drawn from this study were as follows: 1. Three factors emerged to account for the dimensional structure of the impressions of the male figure in clothing in two social situations. These factors involved evaluation, activity and uniqueness. 2. The contexts, clothing types and clothing styles had significant effects on evaluation, activity and uniqueness. The clothing styles had a considerable effect on both evaluation and uniqueness while the clothing types affected activity. The clothing color had least effect on the impression and had only moderate effect on evaluation. 3. Perceiver's age influenced impressions formed by the social contexts and clothing cues. Male college students were least affected by contexts and clothing cues, while middle-aged men wert affected most.

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