• 제목/요약/키워드: $C^{*}$-Integral

검색결과 658건 처리시간 0.026초

MULTIPLE Lp ANALYTIC GENERALIZED FOURIER-FEYNMAN TRANSFORM ON A FRESNEL TYPE CLASS

  • Chang, Seung Jun;Lee, Il Yong
    • 충청수학회지
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    • 제19권1호
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    • pp.79-99
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    • 2006
  • In this paper, we define a class of functional defined on a very general function space $C_{a,b}[0,T]$ like a Fresnel class of an abstract Wiener space. We then define the multiple $L_p$ analytic generalized Fourier-Feynman transform and the generalized convolution product of functionals on function space $C_{a,b}[0,T]$. Finally, we establish some relationships between the multiple $L_p$ analytic generalized Fourier-Feynman transform and the generalized convolution product for functionals in $\mathcal{F}(C_{a,b}[0,T])$.

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GENERALIZED ANALYTIC FOURIER-FEYNMAN TRANSFORMS AND CONVOLUTIONS ON A FRESNEL TYPE CLASS

  • Chang, Seung-Jun;Lee, Il-Yong
    • 대한수학회보
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    • 제48권2호
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    • pp.223-245
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    • 2011
  • In this paper, we de ne an $L_p$ analytic generalized Fourier Feynman transform and a convolution product of functionals in a Ba-nach algebra $\cal{F}$($C_{a,b}$[0, T]) which is called the Fresnel type class, and in more general class $\cal{F}_{A_1;A_2}$ of functionals de ned on general functio space $C_{a,b}$[0, T] rather than on classical Wiener space. Also we obtain some relationships between the $L_p$ analytic generalized Fourier-Feynman transform and convolution product for functionals in $\cal{F}$($C_{a,b}$[0, T]) and in $\cal{F}_{A_1,A_2}$.

고온 표면에 부착된 증발 액적에 의한 열유속 변화 추정 (The Evaluation of Heat Flux by Evaporating Droplet on the Hot Surface)

  • 신운철;배신철
    • 대한기계학회논문집B
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    • 제31권9호
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    • pp.764-771
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    • 2007
  • The objective of the present work is to evaluate the evaporation heat flux of deposited droplet on the hot surface by using of inverse heat transfer technique. On the basis of measured temperature, a integral form solution is determined for the transient temperatures beyond the two positions by using Green's function technique. This method first approximates the temperature data with a half polynomial series of time. we compared this result with constant radius model in single phase regime, nucleate boiling regime, film boiling regime respectively. this paper performed the experiments as following conditions: (a)the surface temperature is within the range between $80^{\circ}C\;and\;160^{\circ}C$ in the conduction, (b) droplet diameter are 2.4 and 3.0mm. (c) surface roughness is $0.18{\mu}m$.

STRICT TOPOLOGIES AND OPERATORS ON SPACES OF VECTOR-VALUED CONTINUOUS FUNCTIONS

  • Nowak, Marian
    • 대한수학회지
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    • 제52권1호
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    • pp.177-190
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    • 2015
  • Let X be a completely regular Hausdorff space, and E and F be Banach spaces. Let $C_{rc}(X,E)$ be the Banach space of all continuous functions $f:X{\rightarrow}E$ such that f(X) is a relatively compact set in E. We establish an integral representation theorem for bounded linear operators $T:C_{rc}(X,E){\rightarrow}F$. We characterize continuous operators from $C_{rc}(X,E)$, provided with the strict topologies ${\beta}_z(X,E)$ ($z={\sigma},{\tau}$) to F, in terms of their representing operator-valued measures.

온도변화에 따른 GaAs MESFET의 주파수 특성에 관한 연구 (A Study on Frequency Response of GaAs MESFET with different Temperatures)

  • 정태오;박지홍;안형근;한득영
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2001년도 하계학술대회 논문집
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    • pp.550-553
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    • 2001
  • In this study, unity current gain frequency f$\_$T/ of GaAs MESFET is predicted with different temperatures up to 400 $^{\circ}C$. Temperature dependence parameters of the device including intrinsic carrier concentration n$\_$i/ effective mass, depletion width are considered to be temperature dependent. Small signal parameters such as gate-source, gate dran capacitances C$\_$gs/ C$\_$gd/ are correlated with transconductance g$\_$m/ to predict the unity current gain frequency. The extrinsic capacitance which plays an important roles in high frequency region has been taken into consideration in evaluating total capacitance by using elliptic integral through the substrate. From the results, f$\_$T/ decreases as the temperature increases due to the increase of small signal capacitances and the mobility degradation. Finally the extrinsic elements of capacitances have been proved to be critical in deciding f$\_$T/ which are originated from the design rule of the device.

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열하중하에 있는 IC 패키지의 점탄성 파괴해석 (Visco-Elastic Fracture Analysis of IC Package under Thermal Loading)

  • 이강용;양지혁
    • 한국정밀공학회지
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    • 제15권1호
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    • pp.43-50
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    • 1998
  • The purpose of the paper is to protect the damage of plastic IC package with searching the cause of the fracture due to the delamination and crack when the encapsulant of plastic IC package is on viscoelastic behavior with the effect of creep on high temperature, The model for analysis is the plastic SOJ package with dimpled diepad in the IR soldering process of surface mounting technology. The risk of delamination with calculating the distribution of viscoelastic thermal stress in the package without the crack in the surface mounting process is checked. The package model with the perfect delamination between chip and diepad is chosen to estimate the resistance against fracture in thermal loading with calculating C (t)-integrals according to the change of the design. The optimum design to depress the delamination and crack is presented.

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COMPLEX SUBMANIFOLDS IN REAL HYPERSURFACES

  • Han, Chong-Kyu;Tomassini, Giuseppe
    • 대한수학회지
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    • 제47권5호
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    • pp.1001-1015
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    • 2010
  • Let M be a $C^{\infty}$ real hypersurface in $\mathbb{C}^{n+1}$, $n\;{\geq}\;1$, locally given as the zero locus of a $C^{\infty}$ real valued function r that is defined on a neighborhood of the reference point $P\;{\in}\;M$. For each k = 1,..., n we present a necessary and sufficient condition for there to exist a complex manifold of dimension k through P that is contained in M, assuming the Levi form has rank n - k at P. The problem is to find an integral manifold of the real 1-form $i{\partial}r$ on M whose tangent bundle is invariant under the complex structure tensor J. We present generalized versions of the Frobenius theorem and make use of them to prove the existence of complex submanifolds.

혼합모드 하중하에서 제하 컴플라이언스법에 의한 파괴 인성 측정 (Measurement of Fracture Toughness JC Under Mixed Mode Loading Using Unloading Compliance Method)

  • 심재룡;이영숙;김도형;범현규;강기추
    • 대한기계학회논문집A
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    • 제26권1호
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    • pp.113-120
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    • 2002
  • Experimental procedure to measure fracture toughness (J$_{c}$) under mixed mode loading using CTS(Compact Tension-Shear) specimens is described. It\`s loading angle ranges from 0$^{\circ}$ to 45$^{\circ}$ with interval of 157. The general outline of experimental procedure is similar to that of ASTM E8l3-89 fur mode I fracture. Equations fur determining J-integral is quoted from the authors' previous works. The relation between unloading compliance and physical crack size was calibrated. As an example, fracture toughness of aluminum alloy 2024p-7361 was measured and some reasonable results of J$_{c}$ with various loading angles were obtained.

SPC/F2 Water Model의 온도변화에 따른 물 분자의 양자효과 비교 : 분자동력학 모의실험

  • 김태훈;문성욱
    • EDISON SW 활용 경진대회 논문집
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    • 제4회(2015년)
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    • pp.105-110
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    • 2015
  • 본 연구의 목적은 $SPC/F_2$ water model에 대하여 정해진 여러 온도(250K, 280K, 300K, 350K)에서 경수(light water)와 중수(heavy water)의 일정부피 열용량($C_V$)을 계산하는 것이다. 모의실험은 path integral molecular dynamics (PIMD) 방법을 바탕으로, 계산상에서 물 분자 64개에 대해서 실제 물의 밀도에 맞는 일정한 부피를 설정한 후, 이 때 ring-polymer의 bead수는 양자효과를 보일 수 있는 24개와, 양자효과가 없는1개로 실험을 진행했다. 그 결과로 system의 $C_V$를 얻었고, 수소 동위원소의 변화, 온도의 변화, 양자조건의 여부에 따라 나타나는 차이를 각각 비교했다. 모의실험 결과로 온도가 낮을수록, 양자효과가 클수록, 수소의 질량이 작을수록 열용량이 증가하는 결과를 보였다.

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Molecular and Functional Characterization of Mouse Cardiac Junctate

  • Hong, Chang-Soo;Cho, Myeong-Chan;Kwak, Yong-Geun;Chae, Soo-Wan;Kim, Do-Han
    • 한국생물물리학회:학술대회논문집
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    • 한국생물물리학회 2002년도 제9회 학술 발표회 프로그램과 논문초록
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    • pp.57-57
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    • 2002
  • Junctate is a newly identified integral endo(sarco)plasmic reticulum membrane calcium binding protein, which is an alternative splicing form of the same gene generating aspartyl-hydroxylase and junctin. Screening a mouse heart cDNA library using canine junctin cDNA as a probe yielded 3 complete mouse heart cDNAs.(omitted)

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