• 제목/요약/키워드: n-harmonic

검색결과 386건 처리시간 0.063초

SOME RESULTS OF f-BIHARMONIC MAPS INTO A RIEMANNIAN MANIFOLD OF NON-POSITIVE SECTIONAL CURVATURE

  • He, Guoqing;Li, Jing;Zhao, Peibiao
    • 대한수학회보
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    • 제54권6호
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    • pp.2091-2106
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    • 2017
  • The authors investigate f-biharmonic maps u : (M, g) ${\rightarrow}$ (N, h) from a Riemannian manifold into a Riemannian manifold with non-positive sectional curvature, and derive that if $\int_{M}f^p{\mid}{\tau}(u){\mid}^pdv_g$ < ${\infty}$, $\int_{M}{\mid}{\tau}(u){\mid}^2dv_g$ < ${\infty}$ and $\int_{M}{\mid}du{\mid}^2dv_g$ < ${\infty}$, then u is harmonic. When u is an isometric immersion, the authors also get that if u satisfies some integral conditions, then it is minimal. These results give an affirmative partial answer to conjecture 4 (generalized Chen's conjecture for f-biharmonic submanifolds).

역률제어회로를 갖는 인버터 구동 에어컨 (Inverter Driven Air-Conditioner With Power Factor Correction Circuit)

  • 권경안;박병욱;김정태;정용채
    • 전력전자학회논문지
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    • 제4권1호
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    • pp.105-110
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    • 1999
  • 이 논문은 역률제어회로를 갖는 인버터 구동 에어컨에 관해 설명한다. 정류기에 역률제어회로를 적용함에 의해서 전원선으로의 고조파 삽입을 줄일 수 있고, 효율을 향상시킬 수 있으며, 기존의 인버터와 비교해서 전체 시스템 가격을 낮출 수 있다. 또한, 역률제어회로의 출력전압을 안정화함에 의해서 시스템 성능을 향상시킨다. 본 논문에서는 역률제어회로의 자세한 설계절차를 제시하고, 역률제어회로의 여러 가지 장점을 시뮬레이션과 실험을 통해서 확인하였다.

Design of a Digital PWM Controller for a Soft Switching SEPIC Converter

  • Nashed, Maged N.F.
    • Journal of Power Electronics
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    • 제4권3호
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    • pp.152-160
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    • 2004
  • This paper presents analysis, modeling, and design of a low-harmonic, isolated, active-clamped SEPIC for future avionics applications. Simpler converter dynamics, high switching frequency, zero voltage-Transition-PWM switching, and a single-layer transformer construction result. This paper describes complete design of a digital controller for a high-frequency switching power supply. Guidelines for the minimum required resolution of the analog-to-digital converter, the pulse-width modulator, and the fixed-point computational unit is derived. A design example based on a SEPIC converter operating at the high switching frequency is presented. The controller design is based on direct digital design approach and standard root-locus techniques.

MULTIDIMENSIONAL SYMMETRIC STABLE PROCESSES

  • Chen, Zhen-Qing
    • Journal of applied mathematics & informatics
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    • 제6권2호
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    • pp.329-368
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    • 1999
  • This paper surveys recent remarkable progress in the study of potential theory for symmetric stable processes. It also contains new results on the two-sided estimates for Green functions Poisson kernels and Martin kernels of discontinuous symmetric $alpha$ -stable process in bounded $C^{1,1}$ open sets. The new results give ex-plicit information on how the comparing constants depend on pa-rametrer $alpha$ and consequently recover the green function and Poisson kernel estimates for Brownian motion by passing $alpha{\uparrow}2$. In addition to these new estimates this paper surveys recent progress in the study of notions of harmonicity integral representation of harmonic func-tions boundary harnack inequality conditional gauge and intrinsic ultracontractivity for symmetric stable processes. Here is a table of contents.

ITERATES OF WEIGHTED BEREZIN TRANSFORM UNDER INVARIANT MEASURE IN THE UNIT BALL

  • Lee, Jaesung
    • Korean Journal of Mathematics
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    • 제28권3호
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    • pp.449-457
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    • 2020
  • We focus on the interations of the weighted Berezin transform Tα on Lp(τ), where τ is the invariant measure on the complex unit ball Bn. Iterations of Tα on L1R(τ) the space of radial integrable functions played important roles in proving 𝓜-harmonicity of bounded functions with invariant mean value property. Here, we introduce more properties on iterations of Tα on L1R(τ) and observe differences between the iterations of Tα on L1(τ) and Lp(τ) for 1 < p < ∞.

Application of a Coupled Harmonic Oscillator Model to Solar Activity and El Niño Phenomena

  • Muraki, Yasushi
    • Journal of Astronomy and Space Sciences
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    • 제35권2호
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    • pp.75-81
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    • 2018
  • Solar activity has an important impact not only on the intensity of cosmic rays but also on the environment of Earth. In the present paper, a coupled oscillator model is proposed to explain solar activity. This model can be used to naturally reduce the 89-year Gleissberg cycle. Furthermore, as an application of the coupled oscillator model, we herein attempt to apply the proposed model to El $Ni{\tilde{n}}o$-southern oscillation (ENSO). As a result, the 22-year oscillation of the Pacific Ocean is naturally explained. Finally, we search for a possible explanation for coupled oscillators in actual solar activity.

3상 PWM 콘버어터에 의한 정지형 무효전력 보상장치의 동작특성( II ) (Static VAR Compensator Using 3-Phase PWM Converter(II))

  • 권순재;황영문;김광태;김철우
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1988년도 추계학술대회 논문집 학회본부
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    • pp.287-289
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    • 1988
  • A reactive power compensator whiych employs a 3-phase voltage source PWM converter is presented and ana lysed in this study. In this study, instantaneous reactive power compensator by the theort of instantaneous real and imaginary power are theoretically studied how to compensate reactive power occured by fundamental and harmonic reactive current. And we showed the compensation characteristic as well as the capacity of condenser.

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자동차 엔진 텐션베어링에 대한 구조해석 (Structural Analysis on Tension Bearing of Automotive Engine)

  • 조재웅;한문식
    • 한국기계가공학회지
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    • 제11권5호
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    • pp.21-28
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    • 2012
  • This study analyzes about automotive engine tension bearing through the structural analyses of fatigue and vibration. Maximum equivalent stress is shown at the lower of tensioner. Among the cases of nonuniform fatigue loads, 'SAE bracket history' with the severest change of load becomes most unstable but 'Sample history' becomes most stable. In case of 'Sample history' with the average stress of 0 to $-10^{6}MPa$, the possibility of maximum damage becomes 3%. This stress state can be shown with 6 times more than the damage possibility of 'SAE Bracket history' or 'SAE transmission'. The structural result of this study can be effectively utilized with the design of tension bearing by investigating prevention and durability against its damage.

초음파 금속 용착기를 이용한 Cu 박판의 용착성 실험 (The Establishment of Bonding Conditions of Cu Using an Ultrasonic Metal Welder)

  • 장호수;박우열;박동삼
    • 한국생산제조학회지
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    • 제20권5호
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    • pp.570-575
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    • 2011
  • Ultrasonic metal welder is consisted of power supply, transducer, booster, and horn. Precise designing is required since each parts' shape, length and mass can affect driving frequency and vibration mode. This paper analyzed Cu sheet deposition characteristics using ultrasonic metal welder and tension tester. A horn suitable for 40,000Hz was attached to the ultrasonic metal welder in order to weld Cu plates. The Cu sheet welding was done with different amplitude, pressure, and welding time, and its maximum tension was measured with tension tester. Maximum tension of 153.87N was obtained when the pressure was 2.0bar, amplitude was 80%, and welding time was 0.30s. Therefore, excessive welding condition negatively influences maximum tension measurement result.

SEVERAL RESULTS ASSOCIATED WITH THE RIEMANN ZETA FUNCTION

  • Choi, Junesang
    • 충청수학회지
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    • 제22권3호
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    • pp.467-480
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    • 2009
  • In 1859, Bernhard Riemann, in his epoch-making memoir, extended the Euler zeta function $\zeta$(s) (s > 1; $s{\in}\mathbb{R}$) to the Riemann zeta function $\zeta$(s) ($\Re$(s) > 1; $s{\in}\mathbb{C}$) to investigate the pattern of the primes. Sine the time of Euler and then Riemann, the Riemann zeta function $\zeta$(s) has involved and appeared in a variety of mathematical research subjects as well as the function itself has been being broadly and deeply researched. Among those things, we choose to make a further investigation of the following subjects: Evaluation of $\zeta$(2k) ($k {\in}\mathbb{N}$); Approximate functional equations for $\zeta$(s); Series involving the Riemann zeta function.

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