• 호남수학학술지
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• 제35권1호
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• pp.51-71
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• 2013

In the present paper, we evaluate the analytic conditional Fourier-Feynman transforms and convolution products of unbounded function which is the product of the cylinder function and the function in a Banach algebra which is defined on an analogue o Wiener space and useful in the Feynman integration theories and quantum mechanics. We then investigate the inverse transforms of the function with their relationships and finally prove that th analytic conditional Fourier-Feynman transforms of the conditional convolution products for the functions, can be expressed in terms of the product of the conditional Fourier-Feynman transforms of each function.

• 한국지반공학회지:지반
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• 제13권1호
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• pp.101-110
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• 1997

본 논문에서는 무한영역에서 발생하는 임의의 1$1/r^n$변위감쇠특성을 해석할 수 있는 p-버전 정적 무한요소를 연구하였다. 무한요소를 개발하기 위하여 이론해를 근사화한 형상함수를 사용하였다. 균질한 무한 탄성체내의 공동변형문제와 반무한탄성체위에 놓인 강성기초의 거동해석을 통하여, 본 연구에서 개발된 무한요소가 무한영역을 효율적으로 묘사할 수 있음을 검토하였다.

• 대한수학회지
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• 제50권5호
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• pp.1105-1127
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• 2013

Let C[0, $t$] denote the function space of real-valued continuous paths on [0, $t$]. Define $X_n\;:\;C[0,t]{\rightarrow}\mathbb{R}^{n+1}$ and $X_{n+1}\;:\;C[0,t]{\rightarrow}\mathbb{R}^{n+2}$ by $X_n(x)=(x(t_0),x(t_1),{\ldots},x(t_n))$ and $X_{n+1}(x)=(x(t_0),x(t_1),{\ldots},x(t_n),x(t_{n+1}))$, respectively, where $0=t_0 <; t_1 <{\ldots} < t_n < t_{n+1}=t$. In the present paper, using simple formulas for the conditional expectations with the conditioning functions $X_n$ and $X_{n+1}$, we evaluate the $L_p(1{\leq}p{\leq}{\infty})$-analytic conditional Fourier-Feynman transforms and the conditional convolution products of the functions, which have the form $fr((v_1,x),{\ldots},(v_r,x)){\int}_{L_2}_{[0,t]}\exp\{i(v,x)\}d{\sigma}(v)$ for $x{\in}C[0,t]$, where $\{v_1,{\ldots},v_r\}$ is an orthonormal subset of $L_2[0,t]$, $f_r{\in}L_p(\mathbb{R}^r)$, and ${\sigma}$ is the complex Borel measure of bounded variation on $L_2[0,t]$. We then investigate the inverse conditional Fourier-Feynman transforms of the function and prove that the analytic conditional Fourier-Feynman transforms of the conditional convolution products for the functions can be expressed by the products of the analytic conditional Fourier-Feynman transform of each function.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2008년도 정기 학술대회
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• pp.14-19
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• 2008

This paper presents dynamic infinite element formulations which have been developed for soil-structure interaction analysis both in frequency and in time domains by the present authors during the past twenty years. Axisymmetric, 2D and 3D layered half-space soil media were considered in the developments. The displacement shape functions of the infinite elements were established using approximate expressions of analytical solutions in frequency domain to represent the characteristics of multiple waves propagating into the unbounded outer domain of the media. The proposed infinite elements were verified using benchmark examples, which showed that the present formulations are very effective for the soil-structure interaction analysis either in frequency or in time domain. Example applications to actual interaction problems are also given to demonstrate the capability and versatility of the present methodology.

• Journal of Computing Science and Engineering
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• 제1권2호
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• pp.211-232
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• 2007

In this paper we investigate some issues and solutions related to the design of a Data Warehouse (DW), storing several aggregate measures about trajectories of moving objects. First we discuss the loading phase of our DW which has to deal with overwhelming streams of trajectory observations, possibly produced at different rates, and arriving in an unpredictable and unbounded way. Then, we focus on the measure presence, the most complex measure stored in our DW. Such a measure returns the number of distinct trajectories that lie in a spatial region during a given temporal interval. We devise a novel way to compute an approximate, but very accurate, presence aggregate function, which algebraically combines a bounded amount of measures stored in the base cells of the data cube. We conducted many experiments to show the effectiveness of our method to compute such an aggregate function. In addition, the feasibility of our innovative trajectory DW was validated with an implementation based on Oracle. We investigated the most challenging issues in realizing our trajectory DW using standard DW technologies: namely, the preprocessing and loading phase, and the aggregation functions to support OLAP operations.

• 공업화학
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• 제21권2호
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• pp.200-204
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• 2010

고체 표면의 성질은 물질의 사용을 결정하는데 있어서 중요하다. 그래서 고분자 박막을 사용하여 표면을 개질시켜 표면층의 물리적, 화학적 성질을 제어하는 방법이 떠오르고 있다. 본 연구에서는 기판 표면과 고분자 간의 화학적 derivatization 없이 광화학 반응을 통하여 간단하고 효과적인 방법으로 고체 표면위에 고분자 박막을 흡착하여 표면을 개질시키는 방법을 설명하였다. 실리콘 웨이퍼에 스핀 코팅으로 형성된 광반응성이 있는 P4VP 박막을 이용하여 다른 고분자를 얹혀 UV 노광을 조사하여 벤질 라디칼 moieties 반응으로 고정하였다. 광화학 반응의 결과, UV 가교가 일어난 고분자는 P4VP 박막에 고정되어 지고, 반응이 일어나지 않은 부분은 초음파 세척으로 제거할 수 있다. 고정된 박막의 두께는 UV 노광 시간과 고분자의 분자량에 상관하여 형성되며, 광화학 반응으로 고정되기 때문에 photolithography 공정으로 마이크론 패턴 형성이 가능하다.