• Title/Summary/Keyword: $Theta^*$

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SAMELSON PRODUCTS IN FUNCTION SPACES

  • GATSINZI, JEAN-BAPTISTE;KWASHIRA, RUGARE
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.4
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    • pp.1297-1303
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    • 2015
  • We study Samelson products on models of function spaces. Given a map $f:X{\rightarrow}Y$ between 1-connected spaces and its Quillen model ${\mathbb{L}}(f):{\mathbb{L}}(V){\rightarrow}{\mathbb{L}}(W)$, there is an isomorphism of graded vector spaces ${\Theta}:H_*(Hom_{TV}(TV{\otimes}({\mathbb{Q}}{\oplus}sV),{\mathbb{L}}(W))){\rightarrow}H_*({\mathbb{L}}(W){\oplus}Der({\mathbb{L}}(V),{\mathbb{L}}(W)))$. We define a Samelson product on $H_*(Hom_{TV}(TV{\otimes}({\mathbb{Q}}{\oplus}sV),{\mathbb{L}}(W)))$.

Thermal and Fluid Flow of the air layer in a solar collector (태양열 집열판 공기층의 열 및 유체유동)

  • Bae, Kang-Youl;Yi, Chung-Sop;Lee, Kwang-Sung;Jeong, Hyo-Min;Chung, Han-Shik
    • Proceedings of the KSME Conference
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    • 2001.06d
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    • pp.642-647
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    • 2001
  • This study represents numerical analysis on the thermal and fluid flow of the air layer in a solar collector. The boundary conditions was assumed that the top and bottom wall of the air layer have a heating and cooling surface. respectively. and this calculation model have a solid body with a cooling temperature of $20^{\circ}C$. As the results of simulations. the magnitudes of the velocity vectors and isotherms are increased proportionally to the tilt angles. As the tilt angle is increased. the mean Nusselt numbers are increased and the maximum value of the mean Nusselt number was appeared at tilt angle ${\theta}=75^{\circ}$.

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Numerical Analysis for the Flow Field past a Two-Staged Conical Orifice (이단 원추형 오리피스를 지니는 유동장에 대한 수치해석)

  • Kim, Yeon-Soo;Kim, You-Gon
    • Proceedings of the KSME Conference
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    • 2001.06e
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    • pp.499-505
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    • 2001
  • The objective of the paper was to measure the pressure drop and to investigate the recirculation region of the conical orifices used in Kwang-yang Iron & Steel Company. The flow field with water used as a working fluid was the turbulent flow for Reynolds number of $2{\times}10^4$. The effective parameters for the pressure drop and the recirculation region were the conical orifice's inclined angle (${\theta}$) against the wall, the interval(L) between orifices, the relative angle of rotation(${\alpha}$) of the orifices, the shape of the orifice's hole(circle, rectangle, triangle) having the same area. It was found that the shape of the orifice's hole affected the pressure drop and the flow field a lot, But the other parameters did not make much differences to the pressure drop. The PISO algorithm with FLUENT code was employed.

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DILATIONS FOR POLYNOMIALLY BOUNDED OPERATORS

  • EXNER, GEORGE R.;JO, YOUNG SOO;JUNG, IL BONG
    • Journal of the Korean Mathematical Society
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    • v.42 no.5
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    • pp.893-912
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    • 2005
  • We discuss a certain geometric property $X_{{\theta},{\gamma}}$ of dual algebras generated by a polynomially bounded operator and property ($\mathbb{A}_{N_0,N_0}$; these are central to the study of $N_{0}\timesN_{0}$-systems of simultaneous equations of weak$^{*}$-continuous linear functionals on a dual algebra. In particular, we prove that if T $\in$ $\mathbb{A}$$^{M}$ satisfies a certain sequential property, then T $\in$ $\mathbb{A}^{M}_{N_0}(H) if and only if the algebra $A_{T}$ has property $X_{0, 1/M}$, which is an improvement of Li-Pearcy theorem in [8].

ANALYSIS OF ROTARY OSCILLATION CIRCULAR CYLINDER USING UNSTEADY TWO DIMENSIONAL NAVIER-STOKES EQUATIONS (2차원 Navier-Stokes식을 이용한 회전 진동하는 원형실린더 주위 유동해석)

  • Lee, M.K.;Kim, J.S.
    • 한국전산유체공학회:학술대회논문집
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    • 2009.11a
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    • pp.27-33
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    • 2009
  • In this paper, the flow past a rotary oscillating circular cylinder is simulated. The high-order and high-resolution numerical schemes with the characteristic boundary conditions are used for the compressible Navier-Stokes equation. The frequencies of rotating oscillation are $0.19\;{\leq}\;S_f\;{\leq}\;0.25$ for the maximum angular $\theta_{max}=10^{\circ}$ and $17^{\circ}$. The flow conditions are Mach number of 0.3 and Reynolds number of 1000. At Lock-on and Non-lock-on region which are defined by the relation between the vortex shedding frequency and the oscillating frequency, the drag and lift coefficient are analyzed.

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Partial Discharge Characteristics of the XLPE/EPDM Interface in Power Cable Joint (전력케이블 접속재 XLPE/EPDM 계면의 부분방전 특성)

  • Cho, Kyung-Soon;Hong, Jin-Woong
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.20 no.9
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    • pp.780-786
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    • 2007
  • This paper describes the influence on partial discharge characteristics of defects at the model XLPE/EPDM interfaces of power cable joints. The defects of void and copper which could inadvertently be present at the joint interface. We measured ${\Phi}-n,\;{\Phi}-q$ patterns by a computer-aided partial discharge measuring system. Several parameters i, e, maximum discharge $q_{max}$ [pC], average discharge q [pC/cycle], and average angle of discharge ${\Theta}g$ [deg] were found to depend upon the defect type varying applied voltage. As the result of time evaluation, partial discharges are small different at copper defects, but is decreasing obviously about 20 minutes at void defect. It considered that difference of magnitude of total positive discharge of Q+ [pC] and total negative discharge of Q- [pC] is SPMD(swarming pulsive micro discharges).

A Numerical Study on the Mixed Convection in Open-Ended Inclined Channels (양 끝이 개방된 경사진 채널 내에서의 혼합대류에 관한 수치적 연구)

  • Piao Ri-Long;Bae Dae-Seok
    • Journal of Advanced Marine Engineering and Technology
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    • v.29 no.1
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    • pp.78-85
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    • 2005
  • A numerical calculation is performed to study the effects of buoyancy force on the heat transfer characteristics of laminar forced convection flow in inclined parallel plates with the upper part cooled and the lower Part heated uniformly. Numerical results are presented for the Reynolds number ranges from $4.0\times10^{-3}$ to $1.13\times10^{-1}$. the angle of inclination, $\theta$. from 0 to 90 degree and Pr of the high viscosity fluid is 909. It is found that the flow pattern of mixed convection in inclined parallel Plates can be classified into four patterns which affected by Reynolds number and the angle of inclination.

Two-dimensional Heat Conduction and Convective Heat Transfer a Circular Tube in Cross Flow (원관 주위의 2차원 전도열전달과 국소 대류열전달)

  • Lee Euk-Soo
    • Journal of Advanced Marine Engineering and Technology
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    • v.29 no.1
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    • pp.25-33
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    • 2005
  • When a circular tube with uniform heat generation within the wall was placed in a cross flow, heat flows by conduction in the circumferential direction due to the asymmetric nature of the fluid flow around the perimeter of the circular tube The circumferential heat flow affects the wall temperature distribution to such an extent that. in some cases, significantly different results may be obtained for geometrically similar surfaces. In the present investigation, the effect of circumferential wall heat conduction is investigated for forced convection around circular tube in cross flow of air and water Two-dimensional temperature distribution $T_w(r,{\theta})$ is calculated through the numerical analysis. The difference between one-dimensional and two-dimensional solutions is demonstrated on the graph of local heat transfer coefficients. It is observed that the effect of working fluid is very remarkable.

Estimation of Lifetime Distribution under Time-Censored Ramp Test for Weibull Lifetime Distribution: The Case Where Stress is Bounded and Loaded from Use Condition (스트레스 한계가 있고 사용조건에서 스트레스를 가하는 정시중단 램프시험에서 신뢰수명분포의 추정 : 와이블분포의 경우)

  • 전영록
    • The Korean Journal of Applied Statistics
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    • v.12 no.2
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    • pp.463-478
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    • 1999
  • 가속수명시험은 제품의 사용조건 보다 높은 스트레스 수준에서 시험하여 제품의 신뢰수명을 추정하는 것으로써 스트레스 수준을 일정하게 유지하는 일정형 시험이 일반적이다. 그러나 경우에 따라서는 시험절차의 편리와 시험기간의 단축을 위해서 스트레스를 시간에 따라 선형적으로 증가시키는 램프(ramp)형 시험을 사용하기도 한다. 이 논문에서는 일정스트레 s에서 제품의 수명이 모수 $\Theta$(s), $\beta$인 와이블분포를 따르고 수명과 스트레스의 관계가 역거듭제곱모형인 경우에 스트레스를 사용조건에서 가하고, 스트레스 수준의 최대 한계가 주어져 있는 램프시험 하에서 시험제품이 갖는 수명분포를 유도하고, 정시관측중단시험의 경우에 대해서 수명분포의 최우추정량과 추정량의 점근분포를 구하며, 최우추정치를 구하는 알고리즘을 제안한다.

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Fuzzy quasi extremally disconnected spaces (퍼지 준 extremally disconnected 공간)

  • Park, Jin-Han;Park, Yong-Beom;Lee, Bu-Young
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2005.11a
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    • pp.209-212
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    • 2005
  • In this paper, we introduce the concept of fuzzy quasi extremally disconnectedness in fuzzy bitopological space, which is a generalization of fuzzy extremally disconnectedness due to Ghosh [5] in fuzzy topological space and investigate some of its properties using the concepts of quasi-semi-closure, quasi-$\Theta$_closure and related notions in a fuzzy bitopological setting.

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