• 제목/요약/키워드: multiple existence

검색결과 395건 처리시간 0.028초

MULTIPLE Lp ANALYTIC GENERALIZED FOURIER-FEYNMAN TRANSFORM ON THE BANACH ALGEBRA

  • Chang, Seung-Jun;Choi, Jae-Gil
    • 대한수학회논문집
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    • 제19권1호
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    • pp.93-111
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    • 2004
  • In this paper, we use a generalized Brownian motion process to define a generalized Feynman integral and a generalized Fourier-Feynman transform. We also define the concepts of the multiple Lp analytic generalized Fourier-Feynman transform and the generalized convolution product of functional on function space $C_{a,\;b}[0,\;T]$. We then verify the existence of the multiple $L_{p}$ analytic generalized Fourier-Feynman transform for functional on function space that belong to a Banach algebra $S({L_{a,\;b}}^{2}[0, T])$. Finally we establish some relationships between the multiple $L_{p}$ analytic generalized Fourier-Feynman transform and the generalized convolution product for functionals in $S({L_{a,\;b}}^{2}[0, T])$.

A HYBRID VOLTERRA-TYPE EQUATION WITH TWO TYPES OF IMPULSES

  • Belbas S.A.;Park Jong-Seo
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제13권2호
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    • pp.121-136
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    • 2006
  • We formulate and analyze a hybrid system model that involves Volterra integral operators with multiple integrals and two types of impulsive terms. We give a constructive proof, via an iteration method, of existence and uniqueness of solutions.

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On the ridge estimations with the correlated error structure

  • Won, Byung-Chool
    • 한국경영과학회:학술대회논문집
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    • 대한산업공학회/한국경영과학회 1990년도 춘계공동학술대회논문집; 한국과학기술원; 28 Apr. 1990
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    • pp.263-271
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    • 1990
  • In this paper, we shall construct a ridge estimator in a multiple linear model with the correlated error structure. The existence of the biasing parameter satisfying the Mean Squared Error Criterion is also proved. Furthermore, we shall determine the value of shrinkage factors by the iteration method.

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On the Ridge Estimations with the Corrlated Error Structure

  • Won, Byung Chool;Kim, Hae Kyung
    • 호남수학학술지
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    • 제9권1호
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    • pp.99-111
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    • 1987
  • In this paper we shall construct a ridge estimator in a multiple linear model with the correlated error structure. The existence of the biasing parameter satisfying the Mean Squared Error Criterion is also proved. Furthermore, we shall determine the value of shrinkage factors by the iteration method.

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소프트웨어 신뢰도 모형에서 다중 변화점 문제 (Software Reliability Model with Multiple Change-Points)

  • Dong Hoon Lim;Dong Hee Kim
    • 응용통계연구
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    • 제7권2호
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    • pp.101-111
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    • 1994
  • 본 논문은 소프트웨어 신뢰도 모형에서 다중 변화점을 고려함으로서 미래의 관찰치에 대한 예측 성능을 높일 수 있는 새로운 모형에서 프로그램 에러수의 최우추정량이 유한일 조건을 제시하고, 변화점 추정 방법에 대해 논의한다. 또한, 제안된 모형의 타당성을 조사하기 위해 실제 예제를 통하여 모형 성능을 평가한다.

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단일 레이저 스캐너와 Integrated Probabilistic Data Association Filter를 이용한 도심환경에서의 다중 차량추적 (Multiple Vehicle Tracking in Urban Environment using Integrated Probabilistic Data Association Filter with Single Laser Scanner)

  • 김동철;한재현;선우명호
    • 한국자동차공학회논문집
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    • 제21권4호
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    • pp.33-42
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    • 2013
  • This paper describes a multiple vehicle tracking algorithm using an integrated probabilistic data association filter (IPDAF) in urban environments. The algorithm consists of two parts; a pre-processing stage and an IPDA tracker. In the pre-processing stage, measurements are generated by a feature extraction method that manipulates raw data into predefined geometric features of vehicles as lines and boxes. After that, the measurements are divided into two different objects, dynamic and static objects, by using information of ego-vehicle motion. The IPDA tracker estimates not only states of tracks but also existence probability recursively. The existence probability greatly assists reliable initiation and termination of track in cluttered environment. The algorithm was validated by using experimental data which is collected in urban environment by using single laser scanner.

Physical Layer Secrecy Performance of RF-EH Networks with Multiple Eavesdroppers

  • Truong, Tien-Vu;Vo, Nhan-Van;Ha, Dac-Binh;Tran, Duc-Dung
    • Journal of information and communication convergence engineering
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    • 제14권3호
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    • pp.171-176
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    • 2016
  • In this study, we investigate the physical layer secrecy performance of RF energy harvesting (EH) networks over Rayleigh fading channels. The RF-EH system considered here consists of one power transfer station, one source, one destination, and multiple passive eavesdroppers. The source harvests energy from the power transfer station and transmits the information to the destination by using a time switching-based relaying protocol. The eavesdroppers try to extract the transmitted information without an active attack. By using the statistical characteristics of the signal-to-noise ratio (SNR), the exact closed-form expressions of the existence probability of the secrecy capacity and the secrecy outage probability are derived. Further, we analyze the secrecy performance of the system with respect to various system parameters, such as the location of the system elements and the number of eavesdroppers. Finally, the equivalent Monte Carlo simulation results are provided to confirm the correctness of our calculations.

Analysis of Traffic Noise Propagation around Main Roads in Kwang-ju City

  • Choi, Hyung-II;Cheong, Kyung-Hoon
    • Environmental Sciences Bulletin of The Korean Environmental Sciences Society
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    • 제4권1호
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    • pp.1-9
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    • 2000
  • This paper describes an analysis of various factors affecting traffic noise propagation, including the distance from the road, existence of a direct path of noise propagation, density and height of buildings, and procedure for predicting the attenuation of noise levels from roads. The analysis is based on a multiple number of regression models, utilizing the quantification theory of the first kind. This study incorporates a large amount of survey data concerning traffic noise propagation. The survey of the traffic noise propagation around main roads was carried out in several residential areas, mainly in Kwangju. The attenuation of noise levels measured provided 691 usable data samples. A multiple regression analysis demonstrated that the distance from the road makes the most significant contribution to the attenuation of the noise level. The second contributor was found to be the existence of a direct path of noise propagation. The building density and average height of the buildings also affected the attenuation of the noise level considerably. Other factors, such as the height of the building behind the receiver microphone and the number of traffic lanes on the noise-source roads, did not contribute as much to the attenuation of the noise level as the factors mentioned avove.

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구역분할 알고리즘을 이용한 다수 탐색플랫폼의 구역할당 방법 (A Methodology for Partitioning a Search Area to Allocate Multiple Platforms)

  • 안우선;조윤철;이찬선
    • 한국군사과학기술학회지
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    • 제21권2호
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    • pp.225-234
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    • 2018
  • In this paper, we consider a problem of partitioning a search area into smaller rectangular regions, so that multiple platforms can conduct search operations independently without requiring unnecessary coordination among themselves. The search area consists of cells where each cell has some prior information regarding the probability of target existence. The detection probability in particular cell is evaluated by multiplying the observation probability of the platform and the target existence probability in that cell. The total detection probability within the search area is defined as the cumulative detection probability for each cell. However, since this search area partitioning problem is NP-Hard, we decompose the problem into three sequential phases to solve this computationally intractable problem. Additionally, we discuss a special case of this problem, which can provide an optimal analytic solution. We also examine the performance of the proposed approach by comparing our results with the optimal analytic solution.