• 제목/요약/키워드: $2^{n}-periodic$

검색결과 189건 처리시간 0.022초

A GEOMETRIC CRITERION FOR THE WEAKER PRINCIPLE OF SPATIAL AVERAGING

  • Kwean, Hyuk-Jin
    • 대한수학회논문집
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    • 제14권2호
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    • pp.337-352
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    • 1999
  • In this paper we find a geometric condition for the weaker principle of spatial averaging (PSA) for a class of polyhedral domains. Let \ulcorner be a polyhedron in R\ulcorner, n$\leq$3. If all dihedral angles of \ulcorner are submultiples of $\pi$, then there exists a parallelopiped \ulcorner generated by n linearily independent vectors {\ulcorner}\ulcorner in R\ulcorner containing \ulcorner so that solutions of $\Delta$u+λu=0 in \ulcorner with either the boundary condition u=0 or ∂u/∂n=0 are expressed by linear combinations of those of $\Delta$u+λn=0 in \ulcorner with periodic boundary condition. Moreover, if {\ulcorner}\ulcorner satisfies rational condition, we guarantee the weaker PSA for the domain \ulcorner.

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기하학적 탐색을 이용한 4각 보행로봇의 지그재그 걸음새 계획 (Zigzag Gait Planning of n Quadruped Walking Robot Using Geometric Search Method)

  • 박세훈;이승하;이연정
    • 제어로봇시스템학회논문지
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    • 제8권2호
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    • pp.142-150
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    • 2002
  • This paper presents a systematic method of the zigzag gait planning for quadruped walking robots. When a robot walks with a zigzag gait, its body is allowed to move from side to side, while the body movement is restricted along a moving direction in conventional continuous gaits. The zigzag movement of the body is effective to improve the gait stability margin. To plan a zigzag gait in a systematic way, the relationship between the center of gravity(COG) and the stability margin is firstly investigated. Then, new geometrical method is introduced to plan a sequence of the body movement which guarantees a maximum stability margin as well as monotonicity along a moving direction. Finally, an optimal swing-leg sequence is chosen for a given arbitrary configuration of the robot. To verify the proposed method, computer simulations have been performed for both cases of a periodic gait and a non-periodic gait.

Monitoring of the Content of Imidazoline-Containing Corrosion Inhibitor

  • Zadorozhny, P.A.;Sukhoverkhov, S.V.;Markin, A.N.;Savin, K.I.;Prokuda, N.A.
    • Corrosion Science and Technology
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    • 제16권4호
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    • pp.161-166
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    • 2017
  • The qualitative composition of active components of the corrosion inhibitor CGW-85567 was studied. It was found that С18:2 and С18:1 imidazolines and the corresponding imidazolin-amides are the major components. The HPLC/MS technique was developed for their determination in the water solutions of monoethylene glycol (MEG). Industrial application of the inhibitor showed that MEG solution retained high concentration of the inhibitor for a long time after ceasing its addition into pipelines. Low values of the partition coefficients (0.010-0.014) of imidazolines in the system "water solution of MEG (concentration of MEG 62-85% v/v) - gas condensate" have allowed to pass on from the technology of continuous pumping of the inhibitor into protected pipelines to the periodic dosing technology. Taking into account a long time of circulation in the system and high temperatures during MEG regeneration process possible degradation products of the inhibitor were studied. N, N-dimethyl-dodecanamine-1, and N, N-dimethyl-tetradecanamine-1 were identified as major degradation products of the corrosion inhibitor CGW-85567.

Molecular characterization of H3N2 influenza A virus isolated from a pig by next generation sequencing in Korea

  • Oh, Yeonsu;Moon, Sung-Hyun;Ko, Young-Seung;Na, Eun-Jee;Tark, Dong-Seob;Oem, Jae-Ku;Kim, Won-Il;Rim, Chaekwang;Cho, Ho-Seong
    • 한국동물위생학회지
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    • 제45권1호
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    • pp.31-38
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    • 2022
  • Swine influenza (SI) is an important respiratory disease in pigs and epidemic worldwide, which is caused by influenza A virus (IAV) belonging to the family of Orthomyxoviridae. As seen again in the 2009 swine-origin influenza A H1N1 pandemic, pigs are known to be susceptible to swine, avian, and human IAVs, and can serve as a 'mixing vessel' for the generation of novel IAV variants. To this end, the emergence of swine influenza viruses must be kept under close surveillance. Herein, we report the isolation and phylogenetic study of a swine IAV, A/swine/Korea/21810/2021 (sw21810, H3N2 subtype). BLASTN sequence analysis of 8 gene segments of the isolated virus revealed a high degree of nucleotide similarity (94.76 to 100%) to porcine strains circulating in Korea and the United States. Out of 8 genome segments, the HA gene was closely related to that of isolates from cluster I. Additionally, the NA gene of the isolate belonged to a Korean Swine H1N1 origin, and the PB2, PB1, NP and NS genes of the isolate were grouped into that of the Triple reassortant swine H3N2 origin virus. The PA and M genes of the isolate belonged to 2009 Pandemic H1N1 lineage. Human infection with mutants was most common through contact with infected pigs. Our results suggest the need for periodic close monitoring of this novel swine H3N2 influenza virus from a public health perspective.

ON CHOWLA'S HYPOTHESIS IMPLYING THAT L(s, χ) > 0 FOR s > 0 FOR REAL CHARACTERS χ

  • Stephane R., Louboutin
    • 대한수학회보
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    • 제60권1호
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    • pp.1-22
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    • 2023
  • Let L(s, χ) be the Dirichlet L-series associated with an f-periodic complex function χ. Let P(X) ∈ ℂ[X]. We give an expression for ∑fn=1 χ(n)P(n) as a linear combination of the L(-n, χ)'s for 0 ≤ n < deg P(X). We deduce some consequences pertaining to the Chowla hypothesis implying that L(s, χ) > 0 for s > 0 for real Dirichlet characters χ. To date no extended numerical computation on this hypothesis is available. In fact by a result of R. C. Baker and H. L. Montgomery we know that it does not hold for almost all fundamental discriminants. Our present numerical computation shows that surprisingly it holds true for at least 65% of the real, even and primitive Dirichlet characters of conductors less than 106. We also show that a generalized Chowla hypothesis holds true for at least 72% of the real, even and primitive Dirichlet characters of conductors less than 106. Since checking this generalized Chowla's hypothesis is easy to program and relies only on exact computation with rational integers, we do think that it should be part of any numerical computation verifying that L(s, χ) > 0 for s > 0 for real Dirichlet characters χ. To date, this verification for real, even and primitive Dirichlet characters has been done only for conductors less than 2·105.

Lake Water Treatment using Ceramic Ultrafiltration Membrane System with Periodic Water-backflushing

  • Park, Jin-Yong;Kyung, Gee-Yong;Han, Song-Hee;Kim, Hyun-Woo;Lee, Hyuk-Chan
    • Korean Membrane Journal
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    • 제8권1호
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    • pp.50-57
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    • 2006
  • We treated lake water by ceramic ultrafiltration membranes and found the optimal backflushing period and trans-membrane pressure (TMP) of periodic water-backflushing system. The optimal filtration time interval at fixed BT = 3 sec was 30 for A002 membrane in all viewpoints of $J/J_0,\;R_f$, and $V_T$, and we could acquire the highest $V_T$ value in the membranes used here. However, the highest $V_T$ was acquired at FT = 60 sec for M9, and at FT = 90 sec for C005 membrane. Then the lower TMP reduced the membrane fouling during filtration of lake water, and could maintain the higher permeate flux compared with the initial flux. However, the largest value $V_T$ could be obtained at the highest TMP condition for M9 membrane at fixed FT = 60 sec and BT = 3 sec. The quality of treated water in our UF ceramic system was Turbidity = $0.20{\sim}4.88NTU$, $COD_{Mn} = 0.00{\sim}2.58 mg/L$, $TDS = l8{\sim}71 mg/L$, and $NH_3-N = 0.004{\sim}1.689 mg/L$.

도시철도 장기 사용레일의 피로수명 평가 (The Fatigue Life Evaluation of Aged Continuous Welded Rail on the Urban Railway)

  • 공선용;성덕룡;박용걸
    • 대한토목학회논문집
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    • 제33권2호
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    • pp.821-831
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    • 2013
  • 최근 연구결과 레일연마 및 장대레일화를 통해 누적통과톤수에 의한 레일교체기준의 연장이 가능한 것으로 보고되었다. 본 연구에서는 장기 사용레일에 대한 실내피로시험을 수행하였고, 파괴확률 50%에서의 장기 사용레일의 잔존수명을 표현한 S-N 선도는 적은 실험데이터에 대한 가중치 확률 해석기법을 사용하여 도출하였다. 여기서 피로시험에 사용된 레일들이 누적통과톤수가 서로 다르기 때문에 누적통과톤수를 평균하여 반복횟수를 수정하였다. 또한, 레일표면요철 및 열차속도를 고려한 레일 저부 휨응력은 기존 연구결과 도출된 레일휨응력 예측식을 사용하여 장기 사용레일의 잔존수명을 평가하였다. 따라서 본 연구를 통해 도시철도에서 레일연마를 통한 레일관리가 이루어진다면 누적통과톤수에 의한 레일교체기준(약 8억톤)보다 약 2억톤이상 연장 사용이 가능하며, 피로한도 이하의 응력범위에 대한 피로시험결과를 바탕으로 레일의 피로수명을 평가하기 위해서는 수정마이너법칙보다는 피로한도 이상에서의 S-N선도 기울기의 1/2인 하이바크법칙을 적용하는 것이 합리적이라 판단되었다.

주기적인 패턴 유리 기판을 사용한 비정질 실리콘 박막 태양전지의 효율 향상에 관한 연구 (Conversion Efficiency Enhancement of a-Si:H Thin-Film Solar Cell Using Periodic Patterned Substrate)

  • 손찬희;김경민;김재호;홍진;권기청
    • 한국진공학회지
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    • 제21권1호
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    • pp.55-61
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    • 2012
  • 본 연구에서는 주기적인 3차원 패턴이 형성된 유리기판을 사용하여 비정질 실리콘 박막 태양전지를 제작하였다. 주기적인 패턴은 일반적인 전도성 투명 산화막(TCO: Trasparent Conductive Oxide) 표면의 불규칙 패턴과 비교하여 더 효율적인 광포획을 가능하게 한다. 태양전지 제작 전 광특성 전산모사를 통하여 주기적인 패턴 유리 기판의 광학적 특성을 알아보았다. 비정질 실리콘 박막 태양전지의 제작은 PECVD를 이용하여 구면 패턴이 형성된 유리기판을 이용하여 제작되었으며, 인공 태양광 조사장치를 이용하여 제작된 태양전지의 성능 평가를 진행하였다. 태양전지 전산모사 결과와 실험 결과들을 비교 분석하여 주기적인 패턴 유리 기판을 이용한 비정질 실리콘 박막 태양전지의 효율향상 가능성을 확인하였다.

규칙적 또는 불규칙적 구조를 가지는 빌딩벽면에서의 전자파 산란 특성 (Scattering Characteristic from Building Walls with Periodic and Random Surface)

  • 윤광렬
    • 한국전자파학회논문지
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    • 제15권4호
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    • pp.428-435
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    • 2004
  • 최근 이동단말기의 급속한 보급과 발전에 의하여, 통상의 시가지에서의 전자파전파의 특성을 해명해야할 뿐만 아니라, 시가지, 산림, 계곡 등의 외부 공간과 실내 공간 등의 종래에는 전파불감지대로 불려오던 공간에 있어서도 안정적으로 통신을 이용할 수 있는 무선통신환경 개선의 중요성이 높게 요구되고 있다. 더욱이, 이동통신의 디지털화와 더불어 건물 등에 의한 반사에 의해서 생기는 멀티패스에 기인하는 수신펄스의 시간지연이 고속디지털통신의 장해가 되고 있다. 이러한 도심 시가지에 대한 전자파전파의 특성을 보다 정도 높게 추정하기 위해서는 건물 벽면의 구조 및 간판 등의 영향도 고려 대상으로 포함시킬 필요성이 있다. 본 연구에서는, 먼저 무선통신환경에서의 시가지, 산림, 해면, 빌딩 벽면 등의 문제를 규칙적 및 불규칙조면(random rough surface)에 의한 산란문제로 취급하여 그 특성을 상세히 파악하고자 한다. 실제 문제에 있어서도 간판과 같은 빌딩의 부착물, 창, 테라스 등과 같은 규칙적 벽면 구조 또는 불규칙적 벽면 구조를 가지고 있는 경우가 일반화되어 있는 실정이다. 따라서 본 논문에서는 FVTD(finite volume time domain)법을 적용하여 기초적인 자료 보완을 위하여 3분류에 의한, 즉 주기적 구조에 의한 산란 특성, 불규칙적 구조에 의한 산란 특성, 주기적 및 불규칙의 복합형구조에 의한 2차원 전파환경 모델들에 대한 산란 특성을 조사하였다. 특히 주기적 벽면구조에 대한 Bragg reflection의 영향을 조사하였다.

LMI-Based Intelligent Digital Redesign for Multirate Sampled-Data Fuzzy Systems

  • 김도완;주영훈;박진배
    • 한국지능시스템학회논문지
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    • 제16권1호
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    • pp.113-118
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    • 2006
  • This paper presents a new linear-matrix-inequality-based intelligent digital redesign (LMI-based IDR) technique to match the states of the analog and the digital T-S fuzzy control systems at the intersampling instants as well as the sampling ones. The main features of the proposed technique are: 1) the affine control scheme is employed to increase the degree of freedom; 2) the fuzzy-model-based periodic control is employed, and the control input is changed n times during one sampling period; 3) The proposed IDR technique is based on the approximately discretized version of the T-S fuzzy system, but its discretization error vanishes as n approaches the infinity. 4) some sufficient conditions involved in the state matching and the stability of the closed-loop discrete-time system can be formulated in the LMIs format.