• Title/Summary/Keyword: alternating series

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DC Current sensor using the saturable magnetic cores (자성체포화를 이용한 DC전류센서)

  • Park, Y.T.
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2002.07b
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    • pp.699-702
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    • 2002
  • A DC current sensor is disclosed in which two pairs of saturable cores are provided so as enclose a conductor carrying a direct current to be measured. On each of the saturable cores, a bias winding, a feedback winding and an output winding are wound. Circuit for detection of an asymmetry in the magnetization current, generated by a reference alternating voltage, in a signal-conditioner. The reference alternating voltage is fed to the respective series circuits such that no resultant induction current is induced in the modulating current. The voltages over the resistor form input signals for two peak value detectors, the strength of the output signal of which represents the degree of asymmetry of magnetization current. This paper describes the development a DC current sensor and its signal-conditioner.

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Synthesis and Light-Emitting Properties of Cyanofluorenylvinylene and Cyanophenylenevinylene-Based Alternating Copolymers by Heck Reaction

  • Jin, Sung-Ho;Kim, Mi-Yeon;Kang, Seung-Yun;Gal, Yeong-Soon
    • 한국정보디스플레이학회:학술대회논문집
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    • 2003.07a
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    • pp.974-977
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    • 2003
  • A new series of statistical alternating EL copolymer, poly[bis{2-(4-phenylenevinylene)-2-cyanoethenyl}- 9,9-dihexyl-9H-fluorene-2,7-yl-alt-1,4-phenylene vinylene] (polymer-I) was synthesized by the modified Heck coupling reaction, and their EL characteristics were also investigated. Double layer polymer light-emitting display (PLED) with the configuration of ITO/PEDOT/polymer/Al devices show maximum brightness and luminous efficiency up to 3000 $cd/m^{2}$ at 30 V and 0.07 lm/W at 21 V, respectively.

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A Singularity in a Trimaterial with Two Concentric Circular Inclusions (두 개의 동심 원형 개재물을 가지는 삼종 재료에서의 특이성)

  • Lee, T.G.;Choi, S.T.;Lee, K.W.;Earmme, Y.Y.
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.170-175
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    • 2000
  • Bimaterial containing an in-plane or an out-of-plane singularity embedded in the inclusion or in the unbounded matrix is first analyzed by using analytic continuation. Next, the series forms of solutions for the trimaterial with two concentric circular inclusions having an identical singularity are found based on an alternating technique using the solution for the bimaterial case. The sum of the first three or four terms of solutions derived provides an excellent approximation for most of material combinations. By applying continuous distributions of dislocations, the trimaterial solution obtained in this study may be used to solve crack problems in the same material.

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Optical Misalignment Cancellation via Online L1 Optimization (온라인 L1 최적화를 통한 탐색기 비정렬 효과 제거 기법)

  • Kim, Jong-Han;Han, Yudeog;Whang, Ick Ho
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.66 no.7
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    • pp.1078-1082
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    • 2017
  • This paper presents an L1 optimization based filtering technique which effectively eliminates the optical misalignment effects encountered in the squint guidance mode with strapdown seekers. We formulated a series of L1 optimization problems in order to separate the bias and the gradient components from the measured data, and solved them via the alternating direction method of multipliers (ADMM) and sparse matrix decomposition techniques. The proposed technique was able to rapidly detect arbitrary discontinuities and gradient changes from the measured signals, and was shown to effectively cancel the undesirable effects coming from the seeker misalignment angles. The technique was implemented on embedded flight computers and the real-time operational performance was verified via the hardware-in-the-loop simulation (HILS) tests in parallel with the automatic target recognition algorithms and the intra-red synthetic target images.

GENERALIZED EULER POWER SERIES

  • KIM, MIN-SOO
    • Journal of applied mathematics & informatics
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    • v.38 no.5_6
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    • pp.591-600
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    • 2020
  • This work is a continuation of our investigations for p-adic analogue of the alternating form Dirichlet L-functions $$L_E(s,{\chi})={\sum\limits_{n=1}^{\infty}}{\frac{(-1)^n{\chi}(n)}{n^s}},\;Re(s)>0$$. Let Lp,E(s, t; χ) be the p-adic Euler L-function of two variables. In this paper, for any α ∈ ℂp, |α|p ≤ 1, we give a power series expansion of Lp,E(s, t; χ) in terms of the variable t. From this, we derive a power series expansion of the generalized Euler polynomials with negative index, that is, we prove that $$E_{-n,{\chi}}(t)={\sum\limits_{m=0}^{\infty}}\(\array{-n\\m}\)E_{-(m+n),{\chi}^{t^m}},\;n{\in}{\mathbb{N}}$$, where t ∈ ℂp with |t|p < 1. Some further properties for Lp,E(s, t; χ) has also been shown.

Synthesis of a Series of Long Chain Lamellar Inorganic/Organic Iron(II) Alkylsulfonate Hydrates

  • Park, Seong-Hun
    • Journal of Integrative Natural Science
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    • v.1 no.2
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    • pp.76-78
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    • 2008
  • A series of the long-chain iron(II) alkylsulfonate hydrates were synthesized via self-assembly of surfactant alkyl chains in aqueous medium. Reaction of iron(II) salts with n-alkylsulfonate yields lamellar $Fe(CnH2n+1SO3)2{\cdot}4H_2O$. These compounds show a layered structure, as determined by XRD, consisting of alternating organic alkylsulfonate layers and inorganic iron(II) hydrate layers, with interlayer distances of upto 3.2 nm. This lamellar structure may be attributed to the amphiphilic nature of the surfactants, mediating the coordination and H-bionding interactions, and the hydrophobic alkyl chains. An alkyl chain packing of present system are differ from those of similar Cu(II) series, which are attributed from the size of hydrated metal(II) ions.

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SOME RESULTS ON PARAMETRIC EULER SUMS

  • Xu, Ce
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.4
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    • pp.1255-1280
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    • 2017
  • In this paper we present a new family of identities for parametric Euler sums which generalize a result of David Borwein et al. [2]. We then apply it to obtain a family of identities relating quadratic and cubic sums to linear sums and zeta values. Furthermore, we also evaluate several other series involving harmonic numbers and alternating harmonic numbers, and give explicit formulas.

EXPLICIT EVALUATION OF HARMONIC SUMS

  • Xu, Ce
    • Communications of the Korean Mathematical Society
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    • v.33 no.1
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    • pp.13-36
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    • 2018
  • In this paper, we obtain some formulae for harmonic sums, alternating harmonic sums and Stirling number sums by using the method of integral representations of series. As applications of these formulae, we give explicit formula of several quadratic and cubic Euler sums through zeta values and linear sums. Furthermore, some relationships between harmonic numbers and Stirling numbers of the first kind are established.

AN ASYMPTOTIC EXPANSION FOR THE FIRST DERIVATIVE OF THE HURWITZ-TYPE EULER ZETA FUNCTION

  • MIN-SOO KIM
    • Journal of applied mathematics & informatics
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    • v.41 no.6
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    • pp.1409-1418
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    • 2023
  • The Hurwitz-type Euler zeta function ζE(z, q) is defined by the series ${\zeta}_E(z,\,q)\,=\,\sum\limits_{n=0}^{\infty}{\frac{(-1)^n}{(n\,+\,q)^z}},$ for Re(z) > 0 and q ≠ 0, -1, -2, . . . , and it can be analytic continued to the whole complex plane. An asymptotic expansion for ζ'E(-m, q) has been proved based on the calculation of Hermite's integral representation for ζE(z, q).

Studies on the Maximum Transfer Rate of Printing Ink (인쇄 잉크의 최대 전이율에 관한 연구)

  • 강상훈
    • Journal of the Korean Graphic Arts Communication Society
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    • v.13 no.1
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    • pp.1-12
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    • 1995
  • Polymeric mesogens having a regularly alternating rigid-flexible repeating structure in the main-chain polymer exhibit distinct even-odd oscillation in their thermodynamic quantities with respect to the number of methylene units in the spacer. The even-odd oscillation depends on the number of methylene groups in the spacer the entropy change at the NI(nematic-isotropic) phase transition becomes less distinct when the linking group is replaced by the carbonate. In our previous work, we have suggested that the characteristics arise from the geometrical arrangement of the linkage. In this work, we have prepared a series of carbonate-type monomer and dimer liquid crystals. The thermodynamic behaviors at the NI phase transition have been compared with those previous reported for the ether- or ester-type liquid crystals. For the dimer series, the orientational order parameter of the mesogenic core was determined by using H-NMR technique. The origin of the difference observed among linking groups was found to the geometrical characteristics of chemical structure.

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