• 제목/요약/키워드: Change of scale formula

검색결과 36건 처리시간 0.022초

GENERALIZED ANALYTIC FEYNMAN INTEGRAL VIA FUNCTION SPACE INTEGRAL OF BOUNDED CYLINDER FUNCTIONALS

  • Chang, Seung-Jun;Choi, Jae-Gil;Chung, Hyun-Soo
    • 대한수학회보
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    • 제48권3호
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    • pp.475-489
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    • 2011
  • In this paper, we use a generalized Brownian motion to define a generalized analytic Feynman integral. We then obtain some results for the generalized analytic Feynman integral of bounded cylinder functionals of the form F(x) = $\hat{v}$(($g_1,x)^{\sim}$,..., $(g_n,x)^{\sim}$) defined on a very general function space $C_{a,b}$[0,T]. We also present a change of scale formula for function space integrals of such cylinder functionals.

CHANGE OF SCALE FORMULAS FOR A GENERALIZED CONDITIONAL WIENER INTEGRAL

  • Cho, Dong Hyun;Yoo, Il
    • 대한수학회보
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    • 제53권5호
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    • pp.1531-1548
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    • 2016
  • Let C[0, t] denote the space of real-valued continuous functions on [0, t] and define a random vector $Z_n:C[0,t]{\rightarrow}\mathbb{R}^n$ by $Z_n(x)=(\int_{0}^{t_1}h(s)dx(s),{\ldots},\int_{0}^{t_n}h(s)dx(s))$, where 0 < $t_1$ < ${\cdots}$ < $ t_n=t$ is a partition of [0, t] and $h{\in}L_2[0,t]$ with $h{\neq}0$ a.e. Using a simple formula for a conditional expectation on C[0, t] with $Z_n$, we evaluate a generalized analytic conditional Wiener integral of the function $G_r(x)=F(x){\Psi}(\int_{0}^{t}v_1(s)dx(s),{\ldots},\int_{0}^{t}v_r(s)dx(s))$ for F in a Banach algebra and for ${\Psi}=f+{\phi}$ which need not be bounded or continuous, where $f{\in}L_p(\mathbb{R}^r)(1{\leq}p{\leq}{\infty})$, {$v_1,{\ldots},v_r$} is an orthonormal subset of $L_2[0,t]$ and ${\phi}$ is the Fourier transform of a measure of bounded variation over $\mathbb{R}^r$. Finally we establish various change of scale transformations for the generalized analytic conditional Wiener integrals of $G_r$ with the conditioning function $Z_n$.

CHANGE OF SCALE FORMULAS FOR FUNCTION SPACE INTEGRALS RELATED WITH FOURIER-FEYNMAN TRANSFORM AND CONVOLUTION ON Ca,b[0, T]

  • Kim, Bong Jin;Kim, Byoung Soo;Yoo, Il
    • Korean Journal of Mathematics
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    • 제23권1호
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    • pp.47-64
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    • 2015
  • We express generalized Fourier-Feynman transform and convolution product of functionals in a Banach algebra $\mathcal{S}(L^2_{a,b}[0,T])$ as limits of function space integrals on $C_{a,b}[0,T]$. Moreover we obtain change of scale formulas for function space integrals related with generalized Fourier-Feynman transform and convolution product of these functionals.

한방 복합치료로 호전된 섬유근통 증후군 치료 1례 (One Case Report of Fibromyalgia Syndrome(FMS) Patient Improved by Korean Medical Combined Treatment)

  • 김민철;김성호
    • 대한한의학방제학회지
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    • 제20권1호
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    • pp.149-158
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    • 2012
  • Objectives : The purpose of this study is to evaluate the effect of oriental medical combined treatment on the fibromyalgia syndrome patient. Methods : Oriental medical combined treatment was administered during 3 weeks at 2 times admissions. The improvement of clinical symptom was evaluated by VAS(visual analogue scale), SF-MPQ(short form-McGill pain questionnarie) and PRS(pain rating scale), change of tender points. Results : After treatment, the patient's VAS score was reduced to 3-5, 4-5 point. First admission, there is no observable change in the SF-MPQ. But, Second admission, SF-MPQ score was reduced from 16 to 6. The PRS score was reduced from 72 to 24, from 75 to 48 respectively. Tender points was reduced generally. Conclusions : Oriental medical combined treatment for the fibromyalgia syndrome patient was effective. Although this case presented valuable result, further research is encouraged to confirm the effectiveness of this treatment with large number of patient.

임신오조 2례에 대한 임상적 고찰 (Clinical study of the two cases of the Hyperemesis)

  • 조성희;반혜란
    • 대한한의학방제학회지
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    • 제12권2호
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    • pp.213-220
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    • 2004
  • Background: We had treatment for two cases of Hyperemesis Gravidarum . they had difficulty in taking herbal medcine(Gamibosengtang), because of bitter taste and increased nausea and vomiting. So We used acupuncture treatment for increasing of taking herbal medicine and reduction of nausea and vomiting. Methods: The patients estimated their dgree of chief complain on a visual analogue scale and change of oral intake and change of frequency of vomiting. Result: Herbal treatment andacupuncture treatment was efficacious for Hyperemesis Gravidarum. Conclusion: More study fo herbal medicine is needed because of bitter taste.

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다구찌 방법을 이용한 SLS 조형품의 치수정밀도 향상에 관한 연구 (A Study on Improvement on Dimensional Accuracy of SLS parts using Taguchi Method)

  • 황보중;양화준;이석희
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 춘계학술대회논문집A
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    • pp.860-865
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    • 2000
  • This Paper Proposes the test pieces of X, Y and Z axes to compensate the shape distortion of Selective Laser Sintering(SLS) parts resulting from the phase change during the sintering process. In no case of the proposed compensation test pieces of X, Y axes the accurate rates of shrinkage can be measured with the reduction of curling which is obtained from adjustment of build orientation and the formula used to get scale factors are proposed with the shrinkage rates of them. The scale factors of X, Y and Z axes are generated by building up proposed compensation test pieces. The generated scale iactors are required to satisfy the dimensional accuracy even if there are changes of the build position and the size of SLS parts in the build chamber. For this reason, it is proposed that the build positions and the size be considered to be noise factors against the compensation test pieces and a method is also proposed that scale factors be selected to robustly maintain the dimensional accuracy of SLS parts under the actual operating conditions with the application of the Taguchi Method.

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간편법에 의한 소규모저수지의 수문학적 안전성 평가 (Hydrologic Safety Evaluation of Small Scale Reservoir by Simplified Assesment Method)

  • 이주헌;양승만;김성준;강부식
    • 한국농공학회논문집
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    • 제53권2호
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    • pp.9-17
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    • 2011
  • Based on the statistical annual report, there are 17,649 reservoirs are operating for the purpose of agricultural water supply in Korea. 58 % of entire agricultural reservoirs had been constructed before 1948 which indicate the termination of required service life and rest of those reservoirs have also exposed to the dam break risk by extreme flood event caused by current ongoing climate change. To prevent damages from dam failure accident of these risky small size dams, it is necessary to evaluate and manage the structural and hydrological safety of the reservoirs. In this study, a simplified evaluation method for hydrologic safety of dam is suggested by using Rational and Creager formula. Hydrologic safety of small scale dams has evaluated by calculating flood discharge capacity of the spillway and compares the results with design frequency of each reservoir. Applicability and stability of suggested simplified method have examined and reviewd by comparing the results from rainfall-runoff modeling with dam break simulation using HEC-HMS. Application results of developed methodology for three sample reservoirs show that simplified assessment method tends to calculate greater inflow to the reservoirs then HEC-HMS model which lead lowered hydrologic safety of reservoirs. Based on the results of application, it is expected that the developed methodology can be adapted as useful tool for small scale reservoir's hydrologic safety evaluation.

에칭공정에서의 Panel-Scale Etching Uniformity 향상을 위한 에칭노즐 궤적예측에 관한 연구 (The Prediction of Nozzle Trajectory on Substrate for the Improvement of Panel-Scale Etching Uniformity)

  • 정기호
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2008년도 추계학술대회 논문집 Vol.21
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    • pp.160-160
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    • 2008
  • In practical etching process, etch ant is sprayed on the metal-deposited panel through nozzles collectively connected to the manifold and that panel is usually composed of many PCB(printed circuit board)'s. The etching uniformity, the difference between individual PCB's on the same panel, has become one of most important features of etching process. In this paper, the prediction of nozzle trajectory has been performed by the combination of algebraic formula and numerical simulation. With the pre-determined geometrical factors of nozzle distribution, the trajectories of individual nozzles were predicted with the change of process operational factors such as panel speed, nozzle swing frequency and so on. As results, two dimensional distribution of impulsive force of etchant spray which could be considered as a key factor determining the etching performance have been successfully obtained. Though only qualitative prediction of etching uniformity have been predicted by the process developed in this study, the expansion to the quantitative prediction of etching uniformity is expected to be apparent by this study.

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3차원 유한요소해석에 의한 얕은 기초의 지지력 특성 (Bearing Capacity Characteristics of Shallow Foundation by Three Dimension FEM)

  • 박춘식;김종환
    • 한국지반공학회논문집
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    • 제35권3호
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    • pp.17-24
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    • 2019
  • 본 연구는 지반 위 얕은 기초의 지지력에 대한 특성을 파악하기 위하여 지반 조건, 기초 크기, 기초 형상 등의 다양한 조건에 대하여 3차원 유한요소해석을 수행하여 기존의 지지력 이론과 비교 검토하였다. 유한요소해석 결과 극한지지력은 기초크기에 따라 지지력이 거듭제곱이나 로그 식으로 차츰 수렴하였고, 지반강도가 증가할수록 지지력 증가가 커지지 않는 직선적인 변화를 보였다. 기존 지지력 이론과 비교한 결과 순수모래는 지지력 비($q_{FEA}/q_{theory}$)가 Terzaghi식의 결과와 가장 유사하였다. 순수점토는 약 0.4~0.6, 일반토사는 0.3~1.3 정도로 산정되었고, 지반강도가 증가할수록 지지력 비가 감소하면서 1.0 이하로 나타났다. 기초 크기에 따른 지지력을 1.0m 기초의 지지력으로 정규화시킨 지지력 비($q_u/q_{u(1.0)}$)는 순수모래에서 ${\phi}=25^{\circ}$, $30^{\circ}$, $35^{\circ}$일 때 이론식의 35%, 15%, 5% 정도로 산정되었고, 순수점토는 크기 효과가 없었으며, 일반토사는 지반강도가 작은 경우에 순수모래의 이론식에 대해 약 10% 이하로 나타났다. 지반강도 증가에 따른 지지력 비는 내부마찰각의 영향이 큰 것으로 나타났다. 기초형상별 지지력 비에 따른 형상계수는 기초형상에 따라 다르게 나타났고, 원형기초는 1.5, 정사각형 기초는 1.3, 직사각형 기초와 연속 기초는 1.1~1.0의 형상계수를 나타내었다.