• Title/Summary/Keyword: Problem Spaces

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A Survey Study on the Consciousness of the School Fence Removal -focused on the consciousness of the five schools on fence removal, in Wonju city- (학교담장허물기에 관한 의식조사 연구 -원주지역 5개 학교담장에 관한 의식조사를 중심으로-)

  • Lee, Eun-Hee;Seo, Deok-Suk;Choi, Jae-Suk
    • The Journal of Sustainable Design and Educational Environment Research
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    • v.9 no.1
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    • pp.11-22
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    • 2010
  • Recently, the necessity of open spaces is increased greatly in the city. But in many reasons, open spaces are diminishing gradually in the existing cities. It is more difficult to keep that space because of expensive land price, and the interests between the neighbors. To solve this problem, the local governments tries to change the street system more convenient to the pedestrian by adapting no vechile street system during some specific time. In this point of view, the street which include fence of school, house, and apartment can be the open space. Especially, removal of the school fence can be a useful solution providing open spaces to small cities suffering from lack of open spaces. In this researching background, several schools in Wonju were selected in this research, some has already been opened, and others yet. Opinions of students, presidents of these schools, and citizens are surveyed about removal of fence. In the basis of this result, we deduce problems followed by removing the fence, and reflect it in the plan of opening the fence to present the guidance to cross over the functional limitation of the fence and use it as a open space.

Color Space Exploration and Fusion for Person Re-identification (동일인 인식을 위한 컬러 공간의 탐색 및 결합)

  • Nam, Young-Ho;Kim, Min-Ki
    • Journal of Korea Multimedia Society
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    • v.19 no.10
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    • pp.1782-1791
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    • 2016
  • Various color spaces such as RGB, HSV, log-chromaticity have been used in the field of person re-identification. However, not enough studies have been done to find suitable color space for the re-identification. This paper reviews color invariance of color spaces by diagonal model and explores the suitability of each color space in the application of person re-identification. It also proposes a method for person re-identification based on a histogram refinement technique and some fusion strategies of color spaces. Two public datasets (ALOI and ImageLab) were used for the suitability test on color space and the ImageLab dataset was used for evaluating the feasibility of the proposed method for person re-identification. Experimental results show that RGB and HSV are more suitable for the re-identification problem than other color spaces such as normalized RGB and log-chromaticity. The cumulative recognition rates up to the third rank under RGB and HSV were 79.3% and 83.6% respectively. Furthermore, the fusion strategy using max score showed performance improvement of 16% or more. These results show that the proposed method is more effective than some other methods that use single color space in person re-identification.

COMPOSITION OPERATORS ON 𝓠K-TYPE SPACES AND A NEW COMPACTNESS CRITERION FOR COMPOSITION OPERATORS ON 𝓠s SPACES

  • Rezaei, Shayesteh
    • Communications of the Korean Mathematical Society
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    • v.32 no.1
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    • pp.55-64
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    • 2017
  • For -2 < ${\alpha}$ < ${\infty}$ and 0 < p < ${\infty}$, the $\mathcal{Q}_K$-type space is the space of all analytic functions on the open unit disk ${\mathbb{D}}$ satisfying $$_{{\sup} \atop a{\in}{\mathbb{D}}}{\large \int_{\mathbb{D}}}{{\mid}f^{\prime}(z){\mid}}^p(1-{{\mid}z{\mid}^2})^{\alpha}K(g(z,a))dA(z)<{\infty}$$, where $g(z,a)=log\frac{1}{{\mid}{\sigma}_a(z){\mid}}$ is the Green's function on ${\mathbb{D}}$ and K : [0, ${\infty}$) [0, ${\infty}$), is a right-continuous and non-decreasing function. For 0 < s < ${\infty}$, the space $\mathcal{Q}_s$ consists of all analytic functions on ${\mathbb{D}}$ for which $$_{sup \atop a{\in}{\mathbb{D}}}{\large \int_{\mathbb{D}}}{{\mid}f^{\prime}(z){\mid}}^2(g(z,a))^sdA(z)<{\infty}$$. Boundedness and compactness of composition operators $C_{\varphi}$ acting on $\mathcal{Q}_K$-type spaces and $\mathcal{Q}_s$ spaces is characterized in terms of the norms of ${\varphi}^n$. Thus the author announces a solution to the problem raised by Wulan, Zheng and Zhou.

Halpern Subgradient Method for Pseudomonotone Equilibrium Problems in Hilbert Space

  • Thang, Tran Van;Khoa, Nguyen Minh
    • Kyungpook Mathematical Journal
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    • v.62 no.3
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    • pp.533-555
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    • 2022
  • In this paper, we introduce a new algorithm for finding a solution of an equilibrium problem in a real Hilbert space. Our paper extends the single projection method to pseudomonotone variational inequalities, from a 2018 paper of Shehu et. al., to pseudomonotone equilibrium problems in a real Hilbert space. On the basis of the given algorithm for the equilibrium problem, we develop a new algorithm for finding a common solution of a equilibrium problem and fixed point problem. The strong convergence of the algorithm is established under mild assumptions. Several of fundamental experiments in finite (infinite) spaces are provided to illustrate the numerical behavior of the algorithm for the equilibrium problem and to compare it with other algorithms.

A NEW RELAXED TSENG METHOD FOR FINDING A COMMON SOLUTION OF FIXED POINT AND SPLIT MONOTONE INCLUSION PROBLEMS

  • Lusanda Mzimela;Akindele Adebayo Mebawondu;Adhir Maharaj;Chinedu Izuchukwu;Ojen Kumar Narain
    • Nonlinear Functional Analysis and Applications
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    • v.29 no.1
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    • pp.225-258
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    • 2024
  • In this paper, we study the problem of finding a common solution to a fixed point problem involving a finite family of ρ-demimetric operators and a split monotone inclusion problem with monotone and Lipschitz continuous operator in real Hilbert spaces. Motivated by the inertial technique and the Tseng method, a new and efficient iterative method for solving the aforementioned problem is introduced and studied. Also, we establish a strong convergence result of the proposed method under standard and mild conditions.

ONE-POINTED GRAVITATIONAL GROMOV-WITTEN INVARIANTS FOR GRASSMANNIANS

  • Kim, Bum-Sig
    • Journal of the Korean Mathematical Society
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    • v.38 no.5
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    • pp.1061-1068
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    • 2001
  • We write down explicity a recursive formula of one-pointed gravitational Gromov-Witten invariants and reduce the computation of them to a combinatoric problem which is not solved yet. The one-pointed invariants were played important role in Givental’s program in mirror symmetry. In section 3, we describe the combinatoric problem which can be read independently.

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REMARKS ON UNIQUENESS AND BLOW-UP CRITERION TO THE EULER EQUATIONS IN THE GENERALIZED BESOV SPACES

  • Ogawa, Takayoshi;Taniuchi, Yasushi
    • Journal of the Korean Mathematical Society
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    • v.37 no.6
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    • pp.1007-1019
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    • 2000
  • In this paper, we discuss a uniqueness problem for the Cauchy problem of the Euler equation. W give a sufficient condition on the vorticity to show the uniqueness of a class of generalized solution in terms of the generalized solution in terms o the generalized Besov space. The condition allows the iterated logarithmic singularity to the vorticity of the solution. We also discuss the break down (or blow up) condition for a smooth solution to the Euler equation under the related assumption.

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EXISTENCE OF A POSITIVE INFIMUM EIGENVALUE FOR THE p(x)-LAPLACIAN NEUMANN PROBLEMS WITH WEIGHTED FUNCTIONS

  • Kim, Yun-Ho
    • Korean Journal of Mathematics
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    • v.22 no.3
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    • pp.395-406
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    • 2014
  • We study the following nonlinear problem $-div(w(x){\mid}{\nabla}u{\mid}^{p(x)-2}{\nabla}u)+{\mid}u{\mid}^{p(x)-2}u={\lambda}f(x,u)$ in ${\Omega}$ which is subject to Neumann boundary condition. Under suitable conditions on w and f, we give the existence of a positive infimum eigenvalue for the p(x)-Laplacian Neumann problem.

STRONG CONVERGENCE THEOREMS FOR INFINITE COUNTABLE NONEXPANSIVE MAPPINGS AND IMAGE RECOVERY PROBLEM

  • Yao, Yonghong;Liou, Yeong-Cheng
    • Journal of the Korean Mathematical Society
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    • v.45 no.6
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    • pp.1591-1600
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    • 2008
  • In this paper, we introduce an iterative scheme given by infinite nonexpansive mappings in Banach spaces. We prove strong convergence theorems which are connected with the problem of image recovery. Our results enrich and complement the recent many results.