• 제목/요약/키워드: harmonic mean

검색결과 184건 처리시간 0.023초

BERGMAN SPACES, BLOCH SPACES AND INTEGRAL MEANS OF p-HARMONIC FUNCTIONS

  • Fu, Xi;Qiao, Jinjing
    • 대한수학회보
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    • 제58권2호
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    • pp.481-495
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    • 2021
  • In this paper, we investigate the properties of Bergman spaces, Bloch spaces and integral means of p-harmonic functions on the unit ball in ℝn. Firstly, we offer some Lipschitz-type and double integral characterizations for Bergman space ��kγ. Secondly, we characterize Bloch space ��αω in terms of weighted Lipschitz conditions and BMO functions. Finally, a Hardy-Littlewood type theorem for integral means of p-harmonic functions is established.

Some Optimal Convex Combination Bounds for Arithmetic Mean

  • Hongya, Gao;Ruihong, Xue
    • Kyungpook Mathematical Journal
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    • 제54권4호
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    • pp.521-529
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    • 2014
  • In this paper we derive some optimal convex combination bounds related to arithmetic mean. We find the greatest values ${\alpha}_1$ and ${\alpha}_2$ and the least values ${\beta}_1$ and ${\beta}_2$ such that the double inequalities $${\alpha}_1T(a,b)+(1-{\alpha}_1)H(a,b)<A(a,b)<{\beta}_1T(a,b)+(1-{\beta}_1)H(a,b)$$ and $${\alpha}_2T(a,b)+(1-{\alpha}_2)G(a,b)<A(a,b)<{\beta}_2T(a,b)+(1-{\beta}_2)G(a,b)$$ holds for all a,b > 0 with $a{\neq}b$. Here T(a,b), H(a,b), A(a,b) and G(a,b) denote the second Seiffert, harmonic, arithmetic and geometric means of two positive numbers a and b, respectively.

HARMONIC WAVELET TRANSFORM FOR MINIMIZING RELATIVE ERRORS IN SENSOR DATA APPROXIMATION

  • Kang Seonggoo;Yang Seunghoon;Lee Sukho;Park Sanghyun
    • 대한원격탐사학회:학술대회논문집
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    • 대한원격탐사학회 2005년도 Proceedings of ISRS 2005
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    • pp.276-279
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    • 2005
  • As the Ubiquitous generation approaches, the importance of the sensor data processing is growing. The data approximation scheme, one of the data processing methods, can be the key of sensor data processing, for it is related not only to the lifetime of sensors but also to the size of the storage. In this paper, we propose the Harmonic Wavelet transform which can minimize the relative error for given sensor data. Harmonic Wavelets use the harmonic mean as a representative which is the minimum point of the maximum relative error between two data values. In addition, Harmonic Wavelets retain the relative errors as wavelet coefficients so we can select proper wavelet coefficients that reduce the relative error more easily. We also adapt the greedy algorithm for local optimization to reduce the time complexity. Experimental results show the performance and the scalability of Harmonic Wavelets for sensor data.

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온라인 고조파 해석 지수의 개발 (On-line Harmonic Distortion Index for Power Quality Assessment)

  • 장길수;송화창;이병준
    • 대한전기학회논문지:전력기술부문A
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    • 제50권8호
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    • pp.373-378
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    • 2001
  • This paper introduces a new online index to quantify the harmonic distortion. The proposed index based on VI product can represent the harmonic distortion of both voltage and current, and it includes the effect of interharmonic distortion. Also, the new index is suitable to online harmonic distortion evaluation since it only requires the r.m.s. (root mean square) value and fundamental frequency value of the signals. Case studies are presented to show the availability of the proposed index using the comparison with the THD (Total Harmonic Distortion).

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철도급전시스템의 고조파 평가를 위한 확률론적 방법 (Probabilistic Method for The Harmonic Analysis of Railroad Feeding System)

  • 이승혁;송학선;이준경;김진오
    • 대한전기학회논문지:전력기술부문A
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    • 제55권9호
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    • pp.384-391
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    • 2006
  • The harmonic currents generated along with the operating speed of electrical railroad traction are very difficult to analyze because of its nonlinear characteristics. This paper therefore presents probabilistic approach for the evaluation of harmonic currents about the operating speed of the arbitrary single traction. To use probabilistic method for railroad system, PDF(Probability Density Function) using measuring data based on the realistic h 따 monic currents per operating speed is calculated. Measuring data of harmonic current per operating speed is obtained using the result data of PSCAD/EMTDC dynamic simulation based on an IAT(Intra Airport Transit) in Incheon International Airport. The means(expected values) and variances of harmonic currents of single traction also are obtained by the PDF of the operating traction speed and harmonic currents. The uncertainty of harmonic currents can be calculated through the mean and variance of PDF. The probability of harmonic currents generated with the operating of arbitrary many tractions is calculated by the convolution of functions. The harmonics of different number of tractions are systematically investigated to assess the TDD(Total Demand Distortion) for the railroad system. The calculation of TDD was carried out using Monte-Carlo Simulations(MSCs) and the results of TDD evaluation of the power quality in the IAT power feeding system.

내용 기반 여과와 협력적 여과의 병합을 통한 추천 시스템에서 조화 평균 가중치 (Harmonic Mean Weight by Combining Content Based Filtering and Collaborative Filtering in a Recommender System)

  • 정경용;류중경;강운구;이정현
    • 한국정보과학회논문지:소프트웨어및응용
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    • 제30권3_4호
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    • pp.239-250
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    • 2003
  • 전자 상거래 분야에서 증가하고 있는 정보들 중에 사용자가 자신의 기호에 맞는 정보 만들 만을 선택하기 위해서 각 정보를 일일이 검토하기 어려운 일이다. 이를 보완하기 위해 정보 여과 기술이 사용되는데 최근 추천 시스템은 협력적 여과 시스템의 희박성과 초기 평가 문제를 해결하기 위해서 내용 기반 여과 시스템과 협력적 적과 시스템을 병합하늘 방법을 사용한다. 본 논문에서는 혼합형 추천시스템에서의 예측의 정확도를 향상시키기 위해서 조화 평균 가중치(CBCF_harmonic_mean)를 사용자 유사도 가중치를 구할 때 사용한다. 내용 기반의 성능을 고려하여 임계치 값을 45로 설정한 후, n/45의 Significance weight을 사용자 유사도 가중치에 적용한다. 제안된 방법의 성능을 평가하기 위해서 기존의 협력적 여과 시스템과 내용 기반 여과 시스템을 병합한 방법과 비교 평가하였다. 그 결과 기존의 협력적 여과 시스템의 문제점을 해결하여 예측의 정확도를 높이는데 효과적임을 확인하였다.

Harmonic Elimination and Reactive Power Compensation with a Novel Control Algorithm based Active Power Filter

  • Garanayak, Priyabrat;Panda, Gayadhar
    • Journal of Power Electronics
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    • 제15권6호
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    • pp.1619-1627
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    • 2015
  • This paper presents a power system harmonic elimination using the mixed adaptive linear neural network and variable step-size leaky least mean square (ADALINE-VSSLLMS) control algorithm based active power filter (APF). The weight vector of ADALINE along with the variable step-size parameter and leakage coefficient of the VSSLLMS algorithm are automatically adjusted to eliminate harmonics from the distorted load current. For all iteration, the VSSLLMS algorithm selects a new rate of convergence for searching and runs the computations. The adopted shunt-hybrid APF (SHAPF) consists of an APF and a series of 7th tuned passive filter connected to each phase. The performance of the proposed ADALINE-VSSLLMS control algorithm employed for SHAPF is analyzed through a simulation in a MATLAB/Simulink environment. Experimental results of a real-time prototype validate the efficacy of the proposed control algorithm.

퍼지규칙의 신경망 학습을 통한 스케치 특징점 추출 (Sketch Feature Extraction Through Learning Fuzzy Inference Rules with a Neural Network)

  • 조성목
    • 한국정보처리학회논문지
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    • 제5권4호
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    • pp.1066-1073
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    • 1998
  • 본 논문에서는 신경회로망을 사용하여 영상에 존재하는 스케치 특징점을 효과적으로 추출할 수 있는 퍼지규칙을 발생시킨다. 이를 위한 퍼지 입력변수로 DBAH(difference between arithmetic mean and harmonic mean)오 특징점정도가 정의된다. DBAH는 국부 밝기를 반영하는 특성을 가지며, 매우 어두운 영역에서의 작은 밝기변화에서는 낮은 출력을 나타내는 장점을 가진다. 퍼지규칙의 신경망학습을 통한 스케치 특징점을 추출은 특징점 추출을 위한 퍼지규칙의 설정에 효과적인 방법이 될 수 있음이 증명된다.

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Initial Second Harmonic Generation in Narrowband Surface Waves by Multi-Line Laser Beams for Two Kinds of Spatial Energy Profile Models: Gaussian and Square-Like

  • Choi, Sungho;Jhang, Kyung-Young
    • 비파괴검사학회지
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    • 제33권3호
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    • pp.257-263
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    • 2013
  • Acoustic nonlinearity of surface waves is an effective method to evaluate the micro damage on the surface of materials. In this method, the $A_1$ (magnitude of the fundamental wave) and $A_2$ (magnitude of the second-order harmonic wave) are measured for evaluation of acoustic nonlinearity. However, if there is another source of second-order harmonic wave other than the material itself, the linear relationship between $A_1{^2}$ and $A_2$ will not be guaranteed. Therefore, the second-order harmonic generation by another source should be fully suppressed. In this paper, we investigated the initial second-order harmonic generation in narrowband surface waves by multi-line laser beams. The spatial profile of laser beam was considered in the cases of Gaussian and square-like. The temporal profile was assumed to be Gaussian. In case of Gaussian spatial profile, the generation of the initial second-order harmonic wave was inevitable. However, when the spatial profile was square-like, the generation of the initial second-order harmonic wave was able to be fully suppressed at specific duty ratio. These results mean that the multi-line laser beams of square-like profile with a proper duty ratio are useful to evaluate the acoustic nonlinearity of the generated surface waves.