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

• 자연과학논문집
• /
• 제15권1호
• /
• pp.11-34
• /
• 2005

전산분산시늉(computational molecular simulation)을 이용하여 생물분자와 같이 다양하고 복잡한 분자계들을 연구하는데 있어서, 그 성과는 표본추출 알고리즘의 배열공간(configuration space) 탐사능력에 의해 결정된다고 말해도 과언이 아니다. 본 연구에서는 기존의 방법들이 안고 있는 문제점들을 제거 또는 완화시킬 수 있는 유력한 방법 중 하나인 Multiensemble Sampling(MES) 방법의 실용적 속성에 대한 체계적인 연구로부터, 분자배열공간상에서 떨어져 있는 영역들을 탐사하는데 MES를 효과적으로 적용할 수 있는 체계적이면서도 일반적인 실행 방법론을 도출해 내기 위한 작업을 수행하였다. 이 작업에서는 좀 더 일반화시킨 MES의 무게함수의 꼴을 이용하여, '물속에서의 공동 형성'을 몬테카를로(MC)로 수행하였다. 여러 경우에 대해 시늉내기 매개변수들과 계산의 효율성과의 상관관계를 조사하여 그 결과로부터 효율성을 극대화할 수 있는 실행 체계를 제시할 수 있었다. 그 체계에 따라 반지름이 0에서 5.64A에 이르는 여러 크기의 공동을 갖는 계들을 한 번의 시늉으로 탐사할 수 있었다.

• Journal of Chest Surgery
• /
• 제10권1호
• /
• pp.98-105
• /
• 1977

A 36 year old blindman, engineer was admitted with chief complaints of hemoptysis, recurrent sore throat, pyoderma in genital organ, uveitis and thrombophlebitis for 10 years. Above the chief complaints were remission or exacerbation during hospitalization. Physicalexamination showed that left radial, ulnar & brachial pulse was not palpable. No bruit or murmur was obtained over the mass. Neurologic examination revealed no significant finding.On admission, chest P-A showed hen egg sized round & oval compact hazy density on left upper lung field. Bronchogram revealed no pathological finding and Lt. tomogram showed well define large,ovoid mass density in the superior mediastinum. Fluoroscopy finding showed nonpulsatile on left upper lung field. Pre-op. aortography was not taken, under the impression of lung Ca. rule out .sortie aneurysm, exploratory operation was performed through the 2nd intercostal space, Lt. It was performed that the mass was ascending sortie aneurysm of saccular type. Direct aneurysmectomy with multiple figure of eight suture were done without any prosthetic graft. Post-op. control I.V.C graphy showed completely obstruction sign. Postopcontrol aortography revealed good surgical result. Final, histopathological answered non-specific sortie aneurysm, saccular type. Post-op. courses were uneventful except mild neurologic disturbance with subclavian steal syndrome and associated with both lower leg pitting edema due to inferior vena cava obstruction. After op, 3 month later, discharged to home, with big systemic problem. Behcet`s syndrome reviewed with related literatures. The coexistence of mouth and genital ulceration with hypopyon mentioned by hippocrates and described by various workers in the early part of this century was first defined as a syndrome by Behcet in 1937. In 1937 Behcet described a chronic relapsing triple symptom complex of oral ulceration, genital ulceration, and ocular inflammation. The place of the syndrome as part of a systemic disorder in now clearer, and the under lying pathology appears to be a vasculitis. The disease runs a- chronic course, blindness being the greatest disability and control nervous system involvement a cause of death. Thrombophlebitis is fairly frequent, france et al [1951] giving an incidence of 25% and Dowling [1961] 12%, superficial thrombophlebitis migrans and thrombosis of large veins, including venae cavae [Thomas, 1947: Boolukos 1960] are recorded. Little attention has been paid to arterial involvement. Mishima et al. [1961] described resection cf an aortic aneurysm in a 38 year old man with Behcet`s syndorme. Mounsey in a clinicopathological conference described a case [Brit, med. J., 1966] of ruptured aortic aneurysm in Bechcet`s syndrome treated by aorto-iliac graft. Also, Shikano and Oshima et al [1963] recorded two aneyrysm of smaller arteries. Unfrequently, aortic aneurysm was presumed to be secondary to osteomyelitis of the lumber spine, though the possible association between aortic aneurysm and Behcet`s syndrome was raised. A further case is reported here, in which ascending aortic aneurysm with Behcet`s Ds. appeared to form part of this generalized disease. This is a case report of surgical experience of Behcet`s Ds. with ascending aortic aneurysm which had nearly all the typical clinical features. Above mentioned and was reviewed with related literatures.