• Title/Summary/Keyword: Third-order

Search Result 6,134, Processing Time 0.028 seconds

CERTAIN COMBINATORIC CONVOLUTION SUMS AND THEIR RELATIONS TO BERNOULLI AND EULER POLYNOMIALS

  • Kim, Daeyeoul;Bayad, Abdelmejid;Ikikardes, Nazli Yildiz
    • Journal of the Korean Mathematical Society
    • /
    • v.52 no.3
    • /
    • pp.537-565
    • /
    • 2015
  • In this paper, we give relationship between Bernoulli-Euler polynomials and convolution sums of divisor functions. First, we establish two explicit formulas for certain combinatoric convolution sums of divisor functions derived from Bernoulli and Euler polynomials. Second, as applications, we show five identities concerning the third and fourth-order convolution sums of divisor functions expressed by their divisor functions and linear combination of Bernoulli or Euler polynomials.

Image-rejection down-conversion mixer for bluetooth application using CMOS (CMOS를 이용한 Bluetooth용 이미지 제거 하향 주파수 변환기 설계)

  • 김대연;이진택;오승민;이상국
    • Proceedings of the IEEK Conference
    • /
    • 2000.11a
    • /
    • pp.365-368
    • /
    • 2000
  • This paper describes image-rejection down conversion mixer for bluetooth application using 0.35u CMOS process. the proposed architecture is composed of LO phase shifter, mixer core, IF buffer, and IF phase shifter. IF phase shifter is designed using polyphase fillet. Simulation results show conversion gain = l0㏈, input 1㏈ compression point = -15.7㏈m. input third-order intercept point(IIP3) = -4.4㏈m, and image-rejection ratio = 37.8㏈, respectively, at 3V supply voltage, and 15.7㎃ current.

  • PDF

Nonresonant-Pump Four Wave Mixing : New Scheme of Phase Matching for Third Order Nonlinear Laser Spectroscopy (비공명펌프 사광자혼합 : 3차 비선형 레이저 분광법을 위한 새로운 위상정합법)

  • 이은성;최대식;이재용;한재원
    • Proceedings of the Optical Society of Korea Conference
    • /
    • 2002.07a
    • /
    • pp.222-223
    • /
    • 2002
  • 3차 비선형 광학현상을 이용한 레이저 분광학은 코헤런트 반스톡스 라만산란(Coherent Anti-Stokes Raman Scattering, CARS)이나 축퇴 사광자혼합(Degenerate Four-Wave Mixing, DFWM)이 기계공학의 연소진단이나 화학분야에 응용된 이래 활발히 연구되어져왔다.[1] 비선형 광학현상의 특성상, 발생한 신호는 입사 레이저광들과의 위상정합조건이 만족되는 특정한 방향으로만 진행하고 레이저광처럼 가간섭성을 갖는다. (중략)

  • PDF

A novel resonant pulse control in resonant DC link inverter (공진형 직류 링크 인버터의 공진 펄스 제어기)

  • 유동욱;원충연
    • Journal of the Korean Institute of Telematics and Electronics B
    • /
    • v.33B no.5
    • /
    • pp.152-158
    • /
    • 1996
  • A novel resonant pulse control technique which generates high-quality sinusoidal output voltage from a resonant dc link inverter is presented for UPS applicatons. The proposed control technique limits resonant voltae overshoot without any passive or active clamp circuit, resulting in resonant pulses iwth uniform amplitude and high efficiency. The output voltage is controlled by the third order contorller iwth an inner loop of th efilter inductor current and the feedforward controller. Analysis and design of the proposed control technique are illustrated and verified on a 5kVA experimental unit.

  • PDF

BEHAVIOR OF SOLUTIONS OF A RATIONAL THIRD ORDER DIFFERENCE EQUATION

  • ABO-ZEID, R.
    • Journal of applied mathematics & informatics
    • /
    • v.38 no.1_2
    • /
    • pp.1-12
    • /
    • 2020
  • In this paper, we solve the difference equation $x_{n+1}={\frac{x_nx_{n-2}}{ax_n-bx_{n-2}}}$, n = 0, 1, …, where a and b are positive real numbers and the initial values x-2, x-1 and x0 are real numbers. We also find invariant sets and discuss the global behavior of the solutions of aforementioned equation.

Effect on the Forming Property of Ceramic Powder by Dynamic CIP (동적 정수압 가압 성형에 의한 분말의 성형특성)

  • 김병익;최상흘
    • Journal of the Korean Ceramic Society
    • /
    • v.29 no.5
    • /
    • pp.391-395
    • /
    • 1992
  • In order to improve the compactness and uniformity in ceramic green body, we have developed dynamic CIP(Cold Isostatic Pressing) as a new forming method in which the CIP and the vibratory pressing were combined. In dynamic CIP, bulk density on alumina compacts was linearly increased with higher │Pmax-Pbias│and maximum pressure of dynamic-CIP was decreased over one-third of that of conventional CIP to obtain the same bulk density.

  • PDF

Stress Evaluation by Measuring Ultrasonic Velocity (초음파 음속측정에 의한 응력평가에 관한 연구)

  • Lee, Bum-Sung
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.16 no.2 s.95
    • /
    • pp.138-144
    • /
    • 1999
  • Longitudinal wave and shear wave velocity changes of PMMA Polymer meterial under the the unidirection load were measured. The Third-order elastic modulus and acousto-elastic modulus of PMMA are obtained. The theoretical and experemental values of the velocity change of each wave by stress are compared each other and the validity of theoretical expression is examinated.

  • PDF

Dynamic Hybrid Position/Gorce Control of 2 D.O.F. Flexible Manipulators

  • Yoshikawa, Tsuneo;Harada, Kensuke
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1994.10a
    • /
    • pp.340-345
    • /
    • 1994
  • Dynamic hybrid position/force control of flexible manipulators is proposed. First, a 2 D.O.F. flexible manipulator is modeled using the spring-mass model. Second, the equation of motion considering the tip constraints is derived. Third, hybrid position/force control algorithm is derived. In this control algorithm, the differentiable order of the desired trajectory and the stability condition are different from the case of rigid manipulators. Lastly, to verify the effectiveness of the proposed control algorithm, simulation results are presented.

  • PDF