• Title/Summary/Keyword: interesting point

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Fixed Point Theorems for Expansion Mappings on Probabilistic Metric Spaces

  • Pant, B.O.;Dimri, R.C.;Singh, S.L.
    • Honam Mathematical Journal
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    • v.9 no.1
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    • pp.77-81
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    • 1987
  • In this paper we introduce the notion of expansion mapping on a probabilistic metric space and prove common fixed point theorems for a pair of such mappings. These results being new of their kind. are interesting generafizations of some of the known results.

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The Critical Point Equation on 3-dimensional α-cosymplectic Manifolds

  • Blaga, Adara M.;Dey, Chiranjib
    • Kyungpook Mathematical Journal
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    • v.60 no.1
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    • pp.177-183
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    • 2020
  • The object of the present paper is to study the critical point equation (CPE) on 3-dimensional α-cosymplectic manifolds. We prove that if a 3-dimensional connected α-cosymplectic manifold satisfies the Miao-Tam critical point equation, then the manifold is of constant sectional curvature -α2, provided Dλ ≠ (ξλ)ξ. We also give several interesting corollaries of the main result.

Developing Food Safety Education Program for Employees at School Foodservice Implementing HACCP (HACCP 적용 학교 급식소의 조리종사자 대상 위생교육 프로그램 개발)

  • Lee, Hye-Yeon;Bae, Hyun-Joo
    • Korean Journal of Community Nutrition
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    • v.21 no.1
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    • pp.84-92
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    • 2016
  • Objectives: This study was performed to develop a food safety education program for school foodservice employees and evaluate its effectiveness. Methods: Food safety education programs were made into two levels; one for new employees in school foodservice and another for employees in charge of Critical Control Point (CCP) monitoring. The programs were for 40-minute-long lecture using PowerPoint. The effectiveness of these programs were assessed based on eleven evaluation items by school foodservice dieticians (n=30) and the Hazard Analysis Critical Control Point (HACCP) specialist (n=13). All statistical analyses are conducted by SPSS package program (ver 20.0). Results: According to the results of evaluating the food safety education program by dietitian and HACCP specialist, the overall satisfaction score was 4.14, evaluated by 5 point scale. There were no significant difference in results of evaluation between dieticians and HACCP specialists. The score of 'it is helpful to work' and 'pictures, images and charts are pertinent to study' were higher than others while the score of 'education contents is pleasant and interesting' and 'screen is pleasant and interesting' were the lowest among all evaluation items. Conclusions: To increase the school foodservice quality, employees should be offered regular food safety education and training through effective education media including prerequisite program and HACCP manual for school foodservice.

A Study on the Connecting Paper Folding Activities of Triangle with Mathematical Proof (삼각형의 접기 활동과 논증의 연계 가능성에 관한 연구)

  • 한인기;신현용
    • The Mathematical Education
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    • v.41 no.1
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    • pp.79-90
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    • 2002
  • In this article we study on connecting paper 131ding activities of triangle with mathematical proof Folding median, bisector of angle, and hight of paper triangle, we from and extract some ideas that help us to proof some important theorems of plane geometry. In this study using formed ideas in the process of paper folding activities, we suggest some interesting new mathematical proofs of the following theorems: 1. three medians of triangle are intersect in a point; 2. three bisectors of interior angles of triangle are intersect in a point; 3. three heights of triangle are intersect in a point.

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Electrochemical Characteristics of a Water-Pen Point Discharge in Atmosphere (수성(水性)펜침방전(針放電)의 전기화학적(電氣化學的) 특성(特性))

  • Lee, Dae-Hee;Kim, Jin-Gyu;Moon, Jae-Duk
    • Proceedings of the KIEE Conference
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    • 1995.07c
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    • pp.1378-1381
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    • 1995
  • Some interesting electrochemical characteristics of waterpen point-to-plate airgaps for dc and ac powers have been investigated at room atmosphere in a metal chamber. It is found that the ac discharge on the Pt point generated much ozone, while the negative do discharge on the waterpen point generated the highest ozone. And, the ac discharges of the waterpen point and the Pt point produced a little $NO_x$. But the dc discharge of the Pt point and waterpen point did not generated $NO_x$ anyway. As a result, it could be said that the water on the pen point acts something to generate ozone and $NO_x$ in room atmosphere.

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EXISTENCE OF TRIPLE POSITIVE SOLUTIONS OF A KIND OF SECOND-ORDER FOUR-POINT BVP

  • Zhao, Junfang;Ge, Weigao
    • Journal of applied mathematics & informatics
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    • v.27 no.1_2
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    • pp.183-194
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    • 2009
  • In this paper, we considered the following four-point boundary value problem $\{{x"(t)+h(t)f(t,x(t),x'(t))=0,\;0<t<1\atop%20x'(0)=ax(\xi),\;x'(1)=bx(\eta)}\$. where $0\;<\;{\xi}\;<\;{\eta}\;<\;1,\;{\delta}\;=\;ab{\xi}\;-\;ab{\eta}\;+\;a\;-\;b\;<\;0,\;0\;<\;a\;<\;\frac{1}{\xi},\;0\;<\;b\;<\;\frac{1}{\eta}$. After the discussion of the Green function of the corresponding homogeneous system, we establish some criteria for the existence of positive solutions by using the generalized Leggett-William's fixed point theorem. The interesting point is the expression of the Green function, which is a difficulty for multi-point BVP.

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Optimal locations of point supports in laminated rectangular plates for maximum fundamental frequency

  • Wang, C.M.;Xiang, Y.;Kitipornchai, S.
    • Structural Engineering and Mechanics
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    • v.5 no.6
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    • pp.691-703
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    • 1997
  • This paper investigates the optimal locations of internal point supports in a symmetric crossply laminated rectangular plate for maximum fundamental frequency of vibration. The method used for solving this optimization problem involves the Rayleigh-Ritz method for the vibration analysis and the simplex method of Nelder and Mead for the iterative search of the optimum support locations. Being a continuum method, the Rayleigh-Ritz method allows easy handling of the changing point support locations during the optimization search. Rectangular plates of various boundary conditions, aspect ratios, composed of different numbers of layers, and with one, two and three internal point supports are analysed. The interesting results on the optimal locations of the point supports showed that (a) there are multiple solutions; (b) the locations are dependent on both the plate aspect ratios and the number of layers (c) the fundamental frequency may be raised significantly with appropriate positioning of the point supports.

Zero-Inflated Poisson Model with a Change-point (변화시점이 있는 영과잉-포아송모형)

  • Kim, Kyung-Moo
    • Journal of the Korean Data and Information Science Society
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    • v.9 no.1
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    • pp.1-9
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    • 1998
  • In case of Zero-Inflated Poisson model with a change-point, likelihood ratio test statistic was used for testing hypothesis for a change-point. A change-point and several interesting parameters were estimated by using the method of moments and maximum likelihood. In order to compare the estimators, empirical mean-square-error was used. Real data for the Zero-Inflated Poisson model with a change-point and Poisson model without a change-point were examined.

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Setting and Compressive Strength Development of Hihg Flowing Concrete (고유동 콘크리트의 응결특성과 압축강도 발현)

  • 권영진;김무한
    • Proceedings of the Korea Concrete Institute Conference
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    • 1995.10a
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    • pp.8-13
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    • 1995
  • High flowing concrete has been made using a combination of different cementitious material. The use of supplementary cementitious material like ground granulated slag is not only interesting from an economical point of view but also from a mechanical and rheological point of view. In the case of high strength concrete, relation between the maturity and compressive strength development of high strength concrete is aproximated by appling gompertz curve and suggested new estimating method. It is the aim of this study to analysis the effect of different types of mineral fine power on the setting and compressive strength development of high flowing concrete.

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Strong Convergence Theorems for Common Points of a Finite Family of Accretive Operators

  • Jeong, Jae Ug;Kim, Soo Hwan
    • Kyungpook Mathematical Journal
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    • v.59 no.3
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    • pp.445-464
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    • 2019
  • In this paper, we propose a new iterative algorithm generated by a finite family of accretive operators in a q-uniformly smooth Banach space. We prove the strong convergence of the proposed iterative algorithm. The results presented in this paper are interesting extensions and improvements of known results of Qin et al. [Fixed Point Theory Appl. 2014(2014): 166], Kim and Xu [Nonlinear Anal. 61(2005), 51-60] and Benavides et al. [Math. Nachr. 248(2003), 62-71].