• 제목/요약/키워드: near-perfect number

검색결과 11건 처리시간 0.033초

A CLASS OF NEW NEAR-PERFECT NUMBERS

  • LI, YANBIN;LIAO, QUNYING
    • 대한수학회지
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    • 제52권4호
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    • pp.751-763
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    • 2015
  • Let ${\alpha}$ be a positive integer, and let $p_1$, $p_2$ be two distinct prime numbers with $p_1$ < $p_2$. By using elementary methods, we give two equivalent conditions of all even near-perfect numbers in the form $2^{\alpha}p_1p_2$ and $2^{\alpha}p_1^2p_2$, and obtain a lot of new near-perfect numbers which involve some special kinds of prime number pairs. One kind is exactly the new Mersenne conjecture's prime number pair. Another kind has the form $p_1=2^{{\alpha}+1}-1$ and $p_2={\frac{p^2_1+p_1+1}{3}}$, where the former is a Mersenne prime and the latter's behavior is very much like a Fermat number.

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

  • 노재성;강희조;김춘길;김언곤;조성준
    • 한국통신학회논문지
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    • 제25권3A호
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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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Upwind Navier-Stokes 방정식을 이용한 무딘 물체 주위의 유동장 해석 (A Numerical Analysis of High Speed Flow over Blunt Body Using Upwind Navier-Stokes Method)

  • 권창오;김상덕;송동주
    • 한국전산유체공학회지
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    • 제1권1호
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    • pp.123-141
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    • 1996
  • In this paper the upwind flux difference splitting Navier-Stokes method has been applied to study the perfect gas and the equilibrium chemically reacting hypersonic flow over an axisymmetric sphere-cone(5°) geometry. The effective gamma(γ), enthalpy to internal energy ratio was used to couple chemistry with the fluid mechanics for equilibrium chemically reacting air. The test case condition was at altitude(30km) and Mach number(15). The equilibrium shock thickness over the blunt body region was much thinner than that of perfect gas shock. The pressure difference between perfect gas and equilibrium gas was about 3 ∼ 5 percent. The heat transfer coefficient were also calculated. The results were compared with VSL results in order to validate the current numerical analysis. The results from current method were compared well VSL results ; however, not well at near nose. The proper boundary condition and grid system will be studied to improve the solution quality.

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

  • Hasan, M. Khayrul;Ali, M. Hossain
    • 천문학회지
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    • 제42권5호
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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.

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

  • 노재성;강희조;김춘길;김언곤;조성준
    • 한국통신학회논문지
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    • 제25권3A호
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    • pp.352-361
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    • 2000
  • 본 논문에서는 주파수 다중경로 페이딩과 Near/Gar 영향을 받는 Multi-Carrier CDMA 시스템의 성능을 분석하였다. 성능 분석을 위해 사용한 파라미터들을 Multi-Carrier의 수, 다중사용자의 수, RAKE 수신기의 가지수, 주파수 선택성 다중경로 페이딩의 감쇄지수, 그리고 CDMA 다중사용자의 분포와 세기이다. Multi-Carrier CDMA 시스템에서 Near/Far 영향을 분석하기 위하여 3가지 간섭 분포 모델을 설정하였다. 첫 번째 모델은 다중사용자가 간섭파 대 반송파 비인 I/C를 -4dB에서 4dB 사이에서 2 dB씩의 차이를 가지며 20%씩 균일하게 분포하는 경우이다. 두 번째 모델은 다중사용자가 I/C 비를-2dB에서 2dB 사이에서 2dB씩의 차이를 가지며 33.3%씩 균일하게 분포하는 경우이다. 그리고 세 번재 모델은 모든 다중사용자가 I/C가 0dB로 신호 전력과 간섭전력이 동일하게 분포하여 전력이 완전하게 제어된 경우이다. 그리고 본 논문에서는 주파수 선택성 다중경로 페이딩의 영향을 감소시키기위하여 RAKE 수신기를 채용한 Multi-Carrier CDMA 시스템을 제안하였다. 이 시스템에서는 제시한 3가지 간섭 분포 모델중에서 세 번째 모델(완전 전력제어가 된 경우)이 가장 좋은 성능을 나타내었고, 간섭파의 전력과 신호파의 전력차이가 적을수록 희망 신호에 영향을 주는 간섭 신호의 전력량이 적어서 Multi-Carrier CDMA 시스템의 성능이 향상됨을 알 수 있었다.

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세조의 원각사13층석탑 건립과 그 의미체계 (King Sejo's Establishment of the Thirteen-story Stone Pagoda of Wongaksa Temple and Its Semantics)

  • 남동신
    • 미술자료
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    • 제101권
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    • pp.12-46
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    • 2022
  • 1467년에 완성된 원각사13층석탑은 한국 역사상 최후의 호불군주에 의한 최후의 도성불탑이다. 필자는 세조가 즉위 10년을 맞이하여 도성(都城) 중심부에 13층석탑을 세우고 탑에 석가사리(釋迦舍利)와 함께 '신역원각경(新譯圓覺經)'을 봉안한 뜻을 세조의 관점에 입각하여 살펴보았다. 머리말에 이어 제II장에서는 13층탑의 경전적 배경을 다각도로 고찰하였다. 특히 필자는 13층탑 건립의 직접적인 소의경전으로서 『대반열반경후분(大般涅槃經後分)』을 최초로 발굴하고, 이 경전이 7세기 후반 중부 자바에서 번역되고 동아시아에 유통된 사실을 추적하였다. 아울러 13층탑의 기원으로서 이른바 카니시카양식의 탑을 주목하고 동아시아와 한국에서의 13층탑 조성 사례를 개관하였다. 그리고 불교문헌을 탐색하여 '13층'이 깨달음[Buddha]으로 나아가는 수행 단계를 상징함을 입증하였다. 확실히 '13'은 불교도에게는 매우 특별하면서도 신성한 숫자라 할 수 있다. 이어서 제III장에서는 세조의 원각사13층탑 건립의 불교적 정치적 함의를 탐색하였다. 불교적 함의와 관련해서는, 세조가 중국에서 직접 구입하여 조선에 최초로 유통시킨 『번역명의집(翻譯名義集)』과, 그가 최초의 한글 번역에 직접 개입한 『원각경(圓覺經)』에 주목하였다. 『번역명의집』은 14세기에 출현한 일종의 불교용어집인데, 세조는 원각사탑을 창건할 무렵 이 문헌을 통하여 13층탑의 소의경전인 『대반열반경후분』을 알았을 것으로 추론하였다. 한편 세조는 대장경 전체를 상징하는 단일경전으로 '신역 원각경'을 원각사탑에 봉안하였는데, 이것이 바로 그가 최초의 한글 번역에 깊이 관여한 『원각경언해』였다. 아울러 『원각경언해』의 저본은 지금까지 알려진 것과 달리 종밀(宗密)의 『원각경략소(圓覺經略疏)』임을 밝혔다. 원각사탑 건립의 정치적 함의와 관련해서는, 조선 초 왕실의 능사(陵寺)(또는 진전사원(眞殿寺院))에 세워진 석탑-경천사13층석탑(敬天寺13層石塔), 개경사석탑(開慶寺石塔), 연경사석탑(衍慶寺石塔), 신륵사다층석탑(神勒寺多層石塔)-들을 비교 검토하였다. 그 결과 세조가 자신의 왕위계승에 정당성을 부여하기 위하여 정치적 상징으로서 원각사13층석탑을 건립하였다는 결론에 도달하였다. 본고에서 필자는 13층탑으로서의 원각사탑의 의미체계를 온전히 파악하고자 하였다. 이러한 시도는 여말선초 정점에 달한 불탑 문화를 이해할 뿐 아니라, 카니시카대탑에서 기원하고 『대반열반경후분』에 근거하는 동아시아의 13층탑을 연구하는 데 한국적 연구모델로서 기여하리라 기대된다.

Adaptive Group Loading and Weighted Loading for MIMO OFDM Systems

  • Shrestha, Robin;Kim, Jae-Moung
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제5권11호
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    • pp.1959-1975
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    • 2011
  • Adaptive Bit Loading (ABL) in Multiple-Input Multiple-Output Orthogonal Frequency-Division Multiplexing (MIMO-OFDM) is often used to achieve the desired Bit Error Rate (BER) performance in wireless systems. In this paper, we discuss some of the bit loading algorithms, compare them in terms of the BER performance, and present an effective and concise Adaptive Grouped Loading (AGL) algorithm. Furthermore, we propose a "weight factor" for loading algorithm to converge rapidly to the final solution for various data rate with variable Signal to Noise Ratio (SNR) gaps. In particular, we consider the bit loading in near optimal Singular Value Decomposition (SVD) based MIMO-OFDM system. While using SVD based system, the system requires perfect Channel State Information (CSI) of channel transfer function at the transmitter. This scenario of SVD based system is taken as an ideal case for the comparison of loading algorithms and to show the actual enhancement achievable by our AGL algorithm. Irrespective of the CSI requirement imposed by the mode of the system itself, ABL demands high level of feedback. Grouped Loading (GL) would reduce the feedback requirement depending upon the group size. However, this also leads to considerable degradation in BER performance. In our AGL algorithm, groups are formed with a number of consecutive sub-channels belonging to the same transmit antenna, with individual gains satisfying predefined criteria. Simulation results show that the proposed "weight factor" leads a loading algorithm to rapid convergence for various data rates with variable SNR gap values and AGL requires much lesser CSI compared to GL for the same BER performance.

Management of Recurrent Cerebral Aneurysm after Surgical Clipping : Clinical Article

  • Kim, Pius;Jang, Suk Jung
    • Journal of Korean Neurosurgical Society
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    • 제61권2호
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    • pp.212-218
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    • 2018
  • Objective : Surgical clipping of the cerebral aenurysm is considered as a standard therapy with endovascular coil embolization. The surgical clipping is known to be superior to the endovascular coil embolization in terms of recurrent rate. However, a recurrent aneurysm which is initially treated by surgical clipping is difficult to handle. The purpose of this study was to research the management of the recurrent cerebral aneurysm after a surgical clipping and how to overcome them. Methods : From January 1996 to December 2015, medical records and radiologic findings of 14 patients with recurrent aneurysm after surgical clipping were reviewed retrospectively. Detailed case-by-case analysis was performed based on preoperative, postoperative and follow-up radiologic examinations and operative findings. All clinical variables including age, sex, aneurysm size and location, type and number of applied clips, prognosis, and time to recurrence are evaluated. All patients are classified by causes of the recurrence. Possible risk factors that could contribute to those causes and overcoming ways are comprehensively discussed. Results : All recurrent aneurysms after surgical clipping were 14 of 2364 (0.5%). Three cases were males and 11 cases were females. Mean age was 52.3. At first treatment, nine cases were ruptured aneurysms, four cases were unruptured aneurysms, and one case was unknown. Locations of recurrent aneurysm were determined; anterior communicating artery (A-com) (n=7), posterior communicating artery (P-com) (n=3), middle cerebral artery (n=2), anterior cerebral artery (n=1) and basilar artery (n=1). As treatment of the recurrence, 11 cases were treated by surgical clipping and three cases were treated by endovascular coil embolization. Three cases of all 14 cases occurred in a month after the initial treatment. Eleven cases occurred after a longer interval, and three of them occurred after 15 years. By analyzing radiographs and operative findings, several main causes of the recurrent cerebral aneurysm were found. One case was incomplete clipping, five cases were clip slippage, and eight cases were fragility of vessel wall near the clip edge. Conclusion : This study revealed main causes of the recurrent aneurysm and contributing risk factors to be controlled. To manage those risk factors and ultimately prevent the recurrent aneurysm, neurosurgeons have to be careful in the technical aspect during surgery for a complete clipping without a slippage. Even in a perfect surgery, an aneurysm may recur at the clip site due to a hemodynamic change over years. Therefore, all patients must be followed up by imaging for a long period of time.

In-situ Synchrotron Radiation Photoemission Spectroscopy Study of Property Variation of Ta2O5 Film during the Atomic Layer Deposition

  • Lee, Seung Youb;Jeon, Cheolho;Kim, Seok Hwan;Lee, Jouhahn;Yun, Hyung Joong;Park, Soo Jeong;An, Ki-Seok;Park, Chong-Yun
    • 한국진공학회:학술대회논문집
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    • 한국진공학회 2014년도 제46회 동계 정기학술대회 초록집
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    • pp.362-362
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    • 2014
  • Atomic layer deposition (ALD) can be regarded as a special variation of the chemical vapor deposition method for reducing film thickness. ALD is based on sequential self-limiting reactions from the gas phase to produce thin films and over-layers in the nanometer scale with perfect conformality and process controllability. These characteristics make ALD an important film deposition technique for nanoelectronics. Tantalum pentoxide ($Ta_2O_5$) has a number of applications in optics and electronics due to its superior properties, such as thermal and chemical stability, high refractive index (>2.0), low absorption in near-UV to IR regions, and high-k. In particular, the dielectric constant of amorphous $Ta_2O_5$ is typically close to 25. Accordingly, $Ta_2O_5$ has been extensively studied in various electronics such as metal oxide semiconductor field-effect transistors (FET), organic FET, dynamic random access memories (RAM), resistance RAM, etc. In this experiment, the variations of chemical and interfacial state during the growth of $Ta_2O_5$ films on the Si substrate by ALD was investigated using in-situ synchrotron radiation photoemission spectroscopy. A newly synthesized liquid precursor $Ta(N^tBu)(dmamp)_2$ Me was used as the metal precursor, with Ar as a purging gas and $H_2O$ as the oxidant source. The core-level spectra of Si 2p, Ta 4f, and O 1s revealed that Ta suboxide and Si dioxide were formed at the initial stages of $Ta_2O_5$ growth. However, the Ta suboxide states almost disappeared as the ALD cycles progressed. Consequently, the $Ta^{5+}$ state, which corresponds with the stoichiometric $Ta_2O_5$, only appeared after 4.0 cycles. Additionally, tantalum silicide was not detected at the interfacial states between $Ta_2O_5$ and Si. The measured valence band offset value between $Ta_2O_5$ and the Si substrate was 3.08 eV after 2.5 cycles.

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RF and Optical properties of Graphene Oxide

  • 임주환;;윤형서;오주영;정영모;박형구;전성찬
    • 한국재료학회:학술대회논문집
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    • 한국재료학회 2012년도 춘계학술발표대회
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    • pp.68.1-68.1
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    • 2012
  • The best part of graphene is - charge-carriers in it are mass less particles which move in near relativistic speeds. Comparing to other materials, electrons in graphene travel much faster - at speeds of $10^8cm/s$. A graphene sheet is pure enough to ensure that electrons can travel a fair distance before colliding. Electronic devices few nanometers long that would be able to transmit charge at breath taking speeds for a fraction of power compared to present day CMOS transistors. Many researches try to check a possibility to make it a perfect replacement for silicon based devices. Graphene has shown high potential to be used as interconnects in the field of high frequency electrical devices. With all those advantages of graphene, we demonstrate characteristics of electrical and optical properties of graphene such as the effect of graphene geometry on the microwave properties using the measurements of S-parameter in range of 500 MHz - 40 GHz at room temperature condition. We confirm that impedance and resistance decrease with increasing the number of graphene layer and w/L ratio. This result shows proper geometry of graphene to be used as high frequency interconnects. This study also presents the optical properties of graphene oxide (GO), which were deposited in different substrate, or influenced by oxygen plasma, were confirmed using different characterization techniques. 4-6 layers of the polycrystalline GO layers, which were confirmed by High resolution transmission electron microscopy (HRTEM) and electron diffraction analysis, were shown short range order of crystallization by the substrate as well as interlayer effect with an increase in interplanar spacing, which can be attributed to the presence of oxygen functional groups on its layers. X-ray photoelectron Spectroscopy (XPS) and Raman spectroscopy confirms the presence of the $sp^2$ and $sp^3$ hybridization due to the disordered crystal structures of the carbon atoms results from oxidation, and Fourier Transform Infrared spectroscopy (FTIR) and XPS analysis shows the changes in oxygen functional groups with nature of substrate. Moreover, the photoluminescent (PL) peak emission wavelength varies with substrate and the broad energy level distribution produces excitation dependent PL emission in a broad wavelength ranging from 400 to 650 nm. The structural and optical properties of oxygen plasma treated GO films for possible optoelectronic applications were also investigated using various characterization techniques. HRTEM and electron diffraction analysis confirmed that the oxygen plasma treatment results short range order crystallization in GO films with an increase in interplanar spacing, which can be attributed to the presence of oxygen functional groups. In addition, Electron energy loss spectroscopy (EELS) and Raman spectroscopy confirms the presence of the $sp^2$ and $sp^3$ hybridization due to the disordered crystal structures of the carbon atoms results from oxidation and XPS analysis shows that epoxy pairs convert to more stable C=O and O-C=O groups with oxygen plasma treatment. The broad energy level distribution resulting from the broad size distribution of the $sp^2$ clusters produces excitation dependent PL emission in a broad wavelength range from 400 to 650 nm. Our results suggest that substrate influenced, or oxygen treatment GO has higher potential for future optoelectronic devices by its various optical properties and visible PL emission.

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