• Title/Summary/Keyword: Obtained point

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EXISTENCE OF COINCIDENCE POINT UNDER GENERALIZED NONLINEAR CONTRACTION WITH APPLICATIONS

  • Deshpande, Bhavana;Handa, Amrish;Thoker, Shamim Ahmad
    • East Asian mathematical journal
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    • v.32 no.3
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    • pp.333-354
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    • 2016
  • We present coincidence point theorem for g-non-decreasing mappings satisfying generalized nonlinear contraction on partially ordered metric spaces. We show how multidimensional results can be seen as simple consequences of our unidimensional coincidence point theorem. We also obtain the coupled coincidence point theorem for generalized compatible pair of mappings $F,G:X^2{\rightarrow}X$ by using obtained coincidence point results. Furthermore, an example and an application to integral equation are also given to show the usability of obtained results. Our results generalize, modify, improve and sharpen several well-known results.

Ionic Wind Generation Characteristics of a Water-Pen Point-to-Mesh Type Discharge System (수침대 그물전극형 방전장치의 이온풍 발생특성)

  • Jung, Jae-Seung;Moon, Jae-Duk
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.4
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    • pp.783-787
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    • 2009
  • A point-to-mesh type discharge system, utilizing a water-pen point as a corona discharge electrode and a mesh as an ion induction electrode, has been proposed, and the effect of the water-pen point electrode of the discharge system to the ionic wind velocity and generation yield was investigated. It was observed that the proposed discharge system with the water-pen point electrode can generate a higher ionic wind velocity as compared with that of the metal point electrode. As a result, the peak ionic wind velocities of 2.61 and 4.05 m/s for the positive and negative corona discharges of the proposed discharge system can be obtained, which are 1.39 and 1.15 times higher than those of the metal point electrode with same design. The ionic wind generation yield of 4.72 m/s/W of the discharge system with the water-pen point electrode was obtained for the positive corona, which was 3.66 times higher than that of the metal point electrode. This enhancement may be due to the effect of the water-pen point electrode.

A Study on Structural Intensity Measurement of Semi-infinite Beam (반무한보의 진동 인텐시티 계측에 대한 연구)

  • 이덕영;박성태
    • Journal of KSNVE
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    • v.7 no.1
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    • pp.43-53
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    • 1997
  • This paper investigated the practical use for measuring the structural intensity (power flow per width of cross section) in a uniform semi-infinite beam in flexural vibration. The structural intensity is obtained as a vector at a measurement point, One-dimensional structural intensity can be obtained from 4-point cross spectral measurement, or 2-point measurement on the assumption of far field. The measurement errors due to finite difference approximation and phase mismatch of accelerometers are examined. For precise measurements, it would be better to make the value of k$\delta$(wave number x space between accelerometers) between 0.5 and 1.0. Formulation of the relation between bending waves in structures and structural intensity makes it possible to separate the wave components by which one can get a state of the vibration field. Experimental results are obtained from 2- and 4-point measurement performed at 200mm (near field) and 400mm (far field) apart from excitation point in random excitation. the results are compared with the theoretical values and measured values of input power spectrum in order to verify the accuracy of structural intensity method, 2-point method is suggested as the practical structural intensity method.

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A Study on Analyzing Thermal Strain of Weldment during Cooling used at Low MS Point Weld Consumables (MS Point 저감 용접재에 적용한 냉각시 용접부 열변형률 분석에 관한 연구)

  • Ha, Yunsok;Nam, Seongkil;Park, Sejin;Kwon, Changgil
    • Journal of Welding and Joining
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    • v.31 no.6
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    • pp.37-43
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    • 2013
  • This study targets to make clear the connection between MS (Martensite start) point and welding shrinkage. We approved that a Martensite-transformed weldment may not yield state under low MS point, but also admitted the limitation of numerical calculation by inherent strain approach or thermal strain approach. Therefore, new thermal strain formulae during cooling stages were made. As a thermal strain is obtained by integrating thermal extension coefficient, a constant of integration should be decided. In our suggested formulae, the origin was based on totally remained austenite, and added strain from volume changes in Martensite transformation was based on totally transformed ferrite. Through the suggested methodology, It is verified that an MS point under a critical temperature can let weld shrinkage relax and the critical value can be obtained. For supporting this process, 15 weld-consumables were made, were tested by fillet type and were measured. As a result, a positive correlation between MS point and level of weld-distortion was obtained, but it was rather weak.

THE RETRIEVABILITY OF CEMENTATION TYPE IMPLANT ABUTMENT BY SURFACE TREATEMENTS AND TYPES OF CEMENTS (Cemented type implant에서 지대치의 표면조도와 cement의 종류가 Retrievability에 미치는 영향에 관한 연구)

  • Lee, Jai-Bong
    • The Journal of Korean Academy of Prosthodontics
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    • v.37 no.5
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    • pp.651-657
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    • 1999
  • This study was performed to investigate the retrievability of the cementation type implant abutments. The cements used in this study were Cavitec, Tembond and Zinc Phosphate Cement. The types of surface conditioning were no treatment, 50 microne sandblasting, 250 microne sandblasting, fine diamond finishing point and coarse diamond point. The retention of cast crown was measured with Instron Universal Testing Machine(Instron Engineering Co., U.S.A.). The results were as fellows: 1. The Maximium retention was obtained by the group of Z.P.C. cementation and Coarse diamond point surface conditioning. 2. Z.P.C. shows maximum retention, and reduced in orders Tembond, Cavitec, No cement. 3. The value of retention of surface condition was highest in coarse diamond point, lowest in no tretment. 4. The similar results were obtained between fine diamond point and 50 microne sandblasting, coarse diamond point and 250 microne sandblasting. 5. The were no direct corelation between mechanical retention and cementation retention.

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POSITIVE SOLUTIONS OF SINGULAR FOURTH-ORDER TWO POINT BOUNDARY VALUE PROBLEMS

  • Li, Jiemei
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1361-1370
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    • 2009
  • In this paper, we consider singular fourth-order two point boundary value problems $u^{(4)}$ (t) = f(t, u), 0 < t < 1, u(0) = u(l) = u'(0) = u'(l) = 0, where $f:(0,1){\times}(0,+{\infty}){\rightarrow}[0,+{\infty})$ may be singular at t = 0, 1 and u = 0. By using the upper and lower solution method, we obtained the existence of positive solutions to the above boundary value problems. An example is also given to illustrate the obtained theorems.

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MULTIDIMENSIONAL INTEGRATION VIA TRAPEZOIDAL AND THREE POINT GENERATORS

  • Cerone, P.
    • Journal of the Korean Mathematical Society
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    • v.40 no.2
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    • pp.251-272
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    • 2003
  • Multidimensional integrals are expressed in terms of lower dimensional integrals and function evaluations. An iterative process is used where a trapezoidal and three point identities are used as generators for higher dimensional identities. Bounds are obtained utilising the resulting identities. It is demonstrated that earlier Ostrowski type results are obtained as particular instances of the current work.

Analysis of the Coplanar Waveguide Shielded by Rectangular Waveguide (구형 도파관으로 차폐된 코플래너 도파관 해석)

  • 황정섭;이상설
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.30A no.7
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    • pp.19-25
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    • 1993
  • By using the point matching method, the coplanar waveguide shielded by the rectangular waveguide has been analyzed. The particular potential solution of C.P.W has been obtained from the boundary condition by using the point matching method. The line capacitance has been obtained from the total charge of the center conductor per length. The effective dielectric constant and the line impedance have been obtained from the line capacitance of C.P.W.

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An Experimental Study on Fracture Energy of Plain Concrete

  • Lee, Jaeha;Lopez, Maria M.
    • International Journal of Concrete Structures and Materials
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    • v.8 no.2
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    • pp.129-139
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    • 2014
  • In this study, the concrete fracture energy was obtained using the three point notched beam test method developed by Hillerborg et al. (Cem Concr Res 6(6):773-782, 1976). A total of 12 notched concrete beams were tested under two different loading conditions: constant stroke control and constant crack mouth opening displacement (CMOD) control. Despite individual fracture energies obtained from the two different loading conditions showing some variation, the average fracture energy from both loading conditions was very similar. Furthermore, the results obtained support the idea that a far tail constant "A" could change the true fracture energy by up to 11 %, if it is calculated using CMOD instead of LVDT. The far tail constant "A" is determined using a least squares fit onto a straight line according to Elices et al. (Mater Struct 25(148):212-218, 1992) and RILEM report (2007). It was also observed that the selection of the end point can produce variations of the true fracture energy. The end point indicates the point in the experiment at which to stop. An end point of 2 mm has been recommended, however, in this study other end points were also considered. The final form of the bilinear softening curve was determined based on Elices and Guinea's methods (1992, 1994) and RILEM report (2007). This paper proposes a bilinear stress-crack opening displacement curve according to test results as well as the CEB-FIP model code.