• Title/Summary/Keyword: perfect number

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INVESTIGATION OF WAVES PROPAGATING IN ISOTHERMAL PLASMA AROUND DE SITTER BLACK HOLE

  • Hasan, M. Khayrul;Ali, M. Hossain
    • Journal of The Korean Astronomical Society
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    • v.42 no.5
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    • pp.107-123
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    • 2009
  • We investigate the wave properties for isothermal plasma state around to the de Sitter black hole's horizon using 3+1 split of spacetime. The corresponding Fourier analyzed perturbed perfect GRMHD equations are used to obtain the complex dispersion relations. We obtain the real values of the wave number k, from these relations, which are used to evaluate the quantities like phase and group velocities etc. These have been analyzed graphically in the neighborhood of the horizon.

THE EXTENDIBILITY OF DIOPHANTINE PAIRS WITH PROPERTY D(-1)

  • Park, Jinseo
    • Korean Journal of Mathematics
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    • v.28 no.3
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    • pp.539-554
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    • 2020
  • A set {a1, a2, …, am} of m distinct positive integers is called a D(-1)-m-tuple if the product of any distinct two elements in the set decreased by one is a perfect square. In this paper, we find a solution of Pellian equations which is constructed by D(-1)-triples and using this result, we prove the extendibility of D(-1)-pair with some conditions.

Aerodynamic Optimal Design of Nozzle Contour for Supersonic Exit Mach Number

  • Mon, Khin Oo;Lee, Chang-Jin
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2010.05a
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    • pp.335-338
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    • 2010
  • A recent study for tracing the profiles of supersonic axisymmetric Minimum Length Nozzle with uniform and parallel flow at the exit section, the stagnation temperature is taken into account. The aim of this work is to add optimization algorithm to the supersonic nozzle design in order to get the optimum nozzle shape. The comparisons of the nozzle contours based on the method of characteristics are presented. The specific heats and their ratio vary with the stagnation temperature when this temperature of a perfect gas increases. An application is made for air in a supersonic nozzle.

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Upper Bound for L0 Recovery Performance of Binary Sparse Signals (이진 희소 신호의 L0 복원 성능에 대한 상한치)

  • Seong, Jin-Taek
    • Proceedings of the Korea Contents Association Conference
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    • 2018.05a
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    • pp.485-486
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    • 2018
  • In this paper, we consider a binary recovery framework of the Compressed Sensing (CS) problem. We derive an upper bound for $L_0$ recovery performance of a binary sparse signal in terms of the dimension N and sparsity K of signals, the number of measurements M. We show that the upper bound obtained from this work goes to the limit bound when the sensing matrix sufficiently become dense. In addition, for perfect recovery performance, if the signals are very sparse, the sensing matrices required for $L_0$ recovery are little more dense.

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THE EXTENDIBILITY OF DIOPHANTINE PAIRS WITH FIBONACCI NUMBERS AND SOME CONDITIONS

  • Park, Jinseo
    • Journal of the Chungcheong Mathematical Society
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    • v.34 no.3
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    • pp.209-219
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    • 2021
  • A set {a1, a2, ⋯ , am} of positive integers is called a Diophantine m-tuple if aiaj + 1 is a perfect square for all 1 ≤ i < j ≤ m. Let Fn be the nth Fibonacci number which is defined by F0 = 0, F1 = 1 and Fn+2 = Fn+1 + Fn. In this paper, we find the extendibility of Diophantine pairs {F2k, b} with some conditions.

Performance Analysis of DS/CDMA with Phase Error Using Hybrid SC/MRC Diversity (위상을 고려한 DS/CDMA 시스템에서 Hybrid SC/MRC 다이버시티 기법을 이용한 성능분석)

  • 김원섭;박진수
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.7 no.3
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    • pp.355-362
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    • 2003
  • In this paper, we analyzed the DS/CDMA System with Hybrid SC/MRC diversity, as a method to achieve a good performance by reducing the complexity of system, when PLL gain value was revised a phase gulf among branches to make perfect coherent receive signal. The channel is a multipath Nakagami-m fading channel, we consider user(K), processor gain(N), number of paths(Lp) in DS/CDMA system with hybrid SC/MRC diversity. We found that PLL gain values exist to make perfect coherent receive signal. We verified that DS/CDMA system with Hybrid SC/MRC diversity can improve performance when the proper PLL gain values is used in the system. As a result, we verified that the upper limit of PLL gain value is 5dB to make perfect coherent receive signal in the DS/CDMA system with hybrid SC/MRC diversity.

Performance Analysis of Multi-Carrier CDMA Trellis coded 16 QAM System with Near/Far Effect in Frequency Selective Multipath Fading Channel (주파수 선택성 다중경로 페이딩 채널에서 Near/Far 영향을 받는 Multi-Carrier CDMA Trellis Coded 16 QAM 시스템의 성능해석)

  • 노재성;강희조;김춘길;김언곤;조성준
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.25 no.3A
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    • pp.353-361
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    • 2000
  • The performance of a multi-carrier CDMA system is analyzed considering frequency selective multipath fading and Near/Far effects. The number of multicarrier, multiuser, and arms of RAKE receiver, and the decay ratio of frequency selective multipath fading are used as a parameter for the performance analysis. More over, the distribution and the strength of multiuser interference are also considered. To evaluated the Near/Far effects in a multi-carrier CDMA system, three distribution models are assumed. In the first model. interference to carrier Ratio, I/C, ranges form -4 dB to 4dB, and at each 2 dB interval 20 % of multiuser is assumed to be uniformly distributed. In the second one, I/C ranges from -2 dB to 2 dB, and 33.3% of multiuser is assumed to be equally dispersed at each 2dB interval. The third model is 0 dB of I/C, that is, with perfect power control, multiuser are assumed to be evenly located. In this paper, multi-carrier CDMA system adoption RAKE receiver is proposed to mitigate the frequency selective multipath fading. Form the results, the third model(i.e. perfect power control)shows the best performance, and the narrower range of I/C causes the less effects to the desired signal, which reads to the better performance.

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An enhanced method using NP-complete problem in Public Key Cryptography System (NP-complete 문제를 이용한 공개키 암호 시스템 개선)

  • Baek, Jaejong
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.19 no.12
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    • pp.2865-2870
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    • 2015
  • Recently, due to the hardware computing enhancement such as quantum computers, the amount of information that can be processed in a short period of time is growing exponentially. The cryptography system proposed by Koblitz and Fellows has a problem that it can not be guaranteed that the problem finding perfect dominating set is NP-complete in specific 3-regular graphs because the number of invariant polynomial can not be generated enough. In this paper, we propose an enhanced method to improve the vulnerability in 3-regular graph by generating plenty of invariant polynomials.

NUMERICAL ANALYSIS OF THE IMPACTING AND SPREADING DYNAMICS OF THE ELLIPSOIDAL DROP ON THE PERFECT NON-WETTING SOLID SURFACE (완전 비습윤 고체 표면 위 타원형 액적의 충돌 및 퍼짐 거동에 대한 수치적 연구)

  • Yun, S.
    • Journal of computational fluids engineering
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    • v.21 no.4
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    • pp.90-95
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    • 2016
  • Leidenfrost drops with ellipsoidal shaping can control the bouncing height by adjusting the aspect ratio(AR) of the shape at the moment of impact. In this work, we focus on the effect of the AR and the impact Weber number(We) on the non-axisymmetrical spreading dynamics of the drop, which plays an important role in the control of bouncing. To understand the impact dynamics, the numerical simulation is conducted for the ellipsoidal drop impact upon the perfect non-wetting solid surface by using volume of fluid method, which shows the characteristics of the spreading behavior in each principal axis. As the AR increases, the drop has a high degree of the alignment into one principal axis, which leads to the consequent suppression of bouncing height with shape oscillation. As the We increases, the maximum spreading diameters in the principal axes both increase whereas the contact time on the solid surface rarely depends on the impact velocity at the same AR. The comprehensive understanding of the ellipsoidal drop impact upon non-wetting surface will provide the way to control of drop deposition in applications, such as surface cleaning and spray cooling.

A Study on the Symbolism of Costumes Appeared in Aflred Hitchcock′s Film (알프레드 히스콕의 스릴러 영활에 나타난 복식의 상징성)

  • 이효진;류근영
    • The Research Journal of the Costume Culture
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    • v.9 no.2
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    • pp.259-276
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    • 2001
  • Hitchcock, "a master of the thriller" "leading figure of thriller", was famous for his work style. He never starts filming until completing a perfect conception in his mind before shooting. He started filming after getting a perfect filming plan adding a picture even one detailed shot picture. Also the movie costumes was not an exception in his movie. He put more main object to express a symbolic meanings by recreating movie costumes which were fit to drama′s subject than function which spoke for contemporary popularity also he guides actors to put on the movie costumes examined previously to shape a definite visual character in that works. This research intends not only to look into symbolic and expressive means of dresses through the movie costumes on thriller appeared in Hitchcock′s movie, but also the comprehension width by grasping importance of the movie-costume and dress image in the movie. Hitchock made about 55 movies, mostly thriller movies, from Number 13(1922) n unfinished work to family plot(1976) ones posthumous work. This research examined his the second half of term works(after 1950) such s Rear Window(1954), Vertigo(1958), Psycho(1960), Torn Curtain(19660, Topaz(1969) and Frenzy(1972) which are generally familiar to the public. In conclusion, we can find that the thriller movie costumes as well s the other movie and appeared a character of the film′s characters, social rank, economic level, personality. But expecially, a costume of Hitchcock′s thriller movie can be contained a characteristic factor of a kind of five.

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