• 제목/요약/키워드: 4M Integration

검색결과 356건 처리시간 0.024초

PARAMETRIC EULER SUMS OF HARMONIC NUMBERS

  • Junjie Quan;Xiyu Wang;Xiaoxue Wei;Ce Xu
    • 대한수학회보
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    • 제61권4호
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    • pp.1033-1051
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    • 2024
  • In this paper, we define a parametric variant of generalized Euler sums and construct contour integration to give some explicit evaluations of these parametric Euler sums. In particular, we establish several explicit formulas of (Hurwitz) zeta functions, linear and quadratic parametric Euler sums. Furthermore, we also give an explicit evaluation of alternating double zeta values ${\zeta}({\bar{2j}};\,2m+1)$ in terms of a combination of alternating Riemann zeta values by using the parametric Euler sums.

Variable-node element families for mesh connection and adaptive mesh computation

  • Lim, Jae Hyuk;Sohn, Dongwoo;Im, Seyoung
    • Structural Engineering and Mechanics
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    • 제43권3호
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    • pp.349-370
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    • 2012
  • Variable-node finite element families, termed (4 + k + l + m + n)-node elements with an arbitrary number of nodes (k, l, m, and n) on each of their edges, are developed based on the generic point interpolation with special bases having slope discontinuities in two-dimensional domains. They retain the linear interpolation between any two neighboring nodes, and passes the standard patch test when subdomain-wise $2{\times}2$ Gauss integration is employed. Their shape functions are automatically generated on the master domain of elements although a certain number of nodes are inserted on their edges. The elements can provide a flexibility to resolve nonmatching mesh problems like mesh connection and adaptive mesh refinement. In the case of adaptive mesh refinement problem, so-called "1-irregular node rule" working as a constraint in performing mesh adaptation is relaxed by adopting the variable-node elements. Through several examples, we show the performance of the variable-node finite elements in terms of accuracy and efficiency.

새로운 형태의 Closed-Form 그린함수의 유도를 위한 근사 경로의 최적선택 (An Optimum Choice of Approximation Path for Derivation of New Class of Closed-Form Green's Functions)

  • 이영순;김의중
    • 한국전자파학회논문지
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    • 제16권4호
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    • pp.418-426
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    • 2005
  • 본 논문에저는 MoM 행렬 요소의 해석적 계산이 가능한 새로운 형태의 closed-form 그린함수 유도를 위한 최적의 근사화 경로 선택을 3-단계 근사화 방법 및 SDP(Steepest Descent Path) 방법을 고려하여 제시하였다. 본 논문의 방법으로 유도된 새로운 형태의 closed-form그린함수 계산 결과가 기존의 방법과 달리 파수 영역 그린함수의 사전조사 없이도 넓은 주파수 범위에서 보다 정확한 결과를 주고 있음을 알 수 있었다. 본 논문이 제안하는 방법의 타당성을 확인하기 위하여 몇 가지 수치 결과들을 제시하였다.

Phase II Study on Pemetrexed-based Chemotherapy in Treating Patients with Metastatic Gastric Cancer not Responding to Prior Palliative Chemotherapy

  • Wei, Guo-Li;Huang, Xin-En;Huo, Jie-Ge;Wang, Xiao-Ning;Tang, Jin-Hai
    • Asian Pacific Journal of Cancer Prevention
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    • 제14권5호
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    • pp.2703-2706
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    • 2013
  • Purpose: This study was to determine the efficacy and safety of pemetrexed based chemotherapy in treating patients with metastatic gastric cancer who failed to respond to first and (or) second line chemotherapy. Patients and Methods: Metastatic gastric cancer patients who failed first and (or) second line chemotherapy, were enrolled. All patients were recruited from Jiangsu Cancer Hospital & Research Institute, and were treated with pemetrexed $500mg/m2$ (intravenous; on day 1), and a platinum (or irinotecan) every 3 weeks until disease progression, or intolerable toxicity. Evaluation on efficacy was conducted after two cycles of chemotherapy using the Response Evaluation Criteria for Solid Tumors. Toxicity was recorded according to National Cancer Institute Common Terminology Criteria for Adverse Events version 3.0. Results: From Jun 2011 to May 2013, 23 patients were enrolled. All eligible 23 patients completed at least 2 cycles of chemotherapy with pemetrexed based chemotherapy, and were evaluable. Their median age was 55 years (range 40 to 78 years). Seventeen patients were male and 6 female. Three patients (13%) achieved partial response, five patients (22%) stable, 15 patients (65%) with disease progression, and none with complete response. Grade 2 neutrophil suppression occurred in 4.3%, grade 3 in 13% of patients, and no grade 4 was reported. Thrombocytopenia was encountered as follows: 4.3% grade 2, 4.3% grade 3 and 4.3% grade 4. Incidence of anemia was 34.8% in grade 2, 8.7% grade 3 and 0% grade 4. Only 4.3% of patients required packed red blood cell infusion. Elevated transaminase were 4.3% in grade 2 and 0% in grade 3 or 4. Other toxicity included oral mucositis. Conclusions: Pemetrexed based chemotherapy is mildly effective in treating patients with metastatic gastric cancer with tolerable toxicity.

내구성 및 가변성을 갖는 장수명 공동주택의 가변요소 시스템 개발 : 실험주택 건립 및 적용성 평가를 중심으로 (Infill-system Development for Long-Life Housing with Durability & Flexibility: Focused on the Constructing and Evaluating Application of Mock-up House)

  • 정소이;박준영;천영수
    • 토지주택연구
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    • 제2권4호
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    • pp.397-406
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    • 2011
  • 본 연구는 지속 가능한 주거환경을 구현하기 위한 실천전략의 하나로서 100년의 내구성과 가변성을 갖는 장수명 공동주택 표준모델에 실질적으로 적용할 수 있는 다양한 가변요소 시스템 개발을 주된 목적으로 한다. 연구방법으로는 장수명 공동주택 표준모델을 적용한 '실험주택'을 대상으로 개발한 각종 가변요소 시스템과 기술들을 통합하고 단계별 현장 적용성 평가, 전문가 의견조사 및 설문조사 등을 실시하였다. 본 연구는 총 3단계로 구분하여 수행하였다. 1단계에서는 고정요소인 전체 구조체와 가변요소인 건식외벽, 창호 등을 시공함과 동시에, 전용면적 $84m^2$에 가변요소 시스템을 시공하면서 현장 적용성을 평가하였다. 2단계에서는 전용면적 $50m^2$ 3세대를 대상으로 국내 최초로 수직통합형 세대(전용$50m^2$+전용$40m^2$)와 수평확장형 세대(전용$50m^2$+전용$10m^2$)를 대상으로 다양한 가변요소시스템의 현장 적용성 평가를 실시하였다. 3단계에서는 본 연구에서 개발한 건식 온돌의 현장검증을 위한 각종 성능평가 실험과 기 사용한 주택부품의 해체, 이동 및 재시공을 통한 3R 구현 정도 파악 등 실용성 제고를 위한 다양한 검증 작업도 함께 실시하였다.

저서식물의 군집구조와 생산성(죽도, 동해안) III. 알쏭이오자반(갈조류)의 생장과 생산성 (Community Structure and Productivity of Phytobenthos in Juckdo (Eastern Coast of Korea) III. Growth Pattern and Productivity of Sargassum confusum (Phaeophyta))

  • 고철환;안인영
    • Journal of Plant Biology
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    • 제28권2호
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    • pp.119-126
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    • 1985
  • Sargassum confusum을 대상으로 동해안 오호리 지역에서 1983년 3월 부더 1984년 4월까지 이 종의 생장 및 일차생산력을 조사하였다. S. confusum은 2월에 생장하기 시작하여 여름에 최대생장을 나타낸 후 빠른 속도로 쇠퇴하는 생육주기를 가진다. 생식활동은 6월에 주로 이루어 진다. 이러한 생장양상은 수온과 밀접한 관제를 갖는다. 최대성장율은 5월의 1.3cm/day이며 최대길이는 8월의 120cm이다. 산소명암병법으로 측정된 S. confusum의 일순생산력은 6월에 11.2 gC/dry wt/day이며 이를 기초로 추정한 연생산력은 745 gC/$m^2$/yr이다. 한편 현존량의 변화에만 의존하여 추정된 연생산력은 745 gC/$m^2$/yr로서 탈락에 의한 손실이 약 60%에 달하고 있다.

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공조풍량별 식생바이오필터의 입자상 오염물질 저감효과 연구 (A Study on Particulate Matter Reduction Effects of Vegetation Bio-Filters by Airflow Volume)

  • 최부헌;김태한
    • 반도체디스플레이기술학회지
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    • 제20권4호
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    • pp.89-95
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    • 2021
  • As the influence of fine dust on society spreads gradually, the public's interest in indoor air is increasingly rising. Air-purifying plants are drawing keen attention due to their natural purifying function enabled by plant physiology. However, as their fine dust reduction mechanism is limited to adsorption only, vegetation bio-filters that optimize purification effects through integration with air-conditioning systems is rising as an alternative. In accordance with the relevant standard test methods, this study looked into the fine dust reduction assessment method by air-conditioning airflow volume that can be used for the industrial spread of vegetation bio-filters. In the case of PM10 at 300 ㎍/m3, it was in the order of EG-B(3,500CMH, 29 min.) < EG-A (2,500CMH, 37 min.) < CG(0CMH, 64 min.) for reaching the maintenance level (100 ㎍/m3) of publicly used facilities. For reaching the WHO Guideline(50 ㎍/m3) requirement, it was in the order of EG-B (51 min.) < EG-A (160 min.) < CG (170 min.). In the case of PM2.5, it was in the order of EG-B (26 min.) < EG-A (33 min.) < CG (57 min.) for reaching the maintenance level (50 ㎍/m3) of publicly used facilities. It was in the order of EG-B (48 min) < EG-A (140 min) < CG (158 min) for reaching the WHO Guideline (25 ㎍/m3) requirement. The findings from the analysis showed that fine dust can be reduced most efficiently when the system is operated at 3,500CMH level. The limitation of this study is that due to the absence of a way of assessing the stress of plants in vegetation bio-filters, generating optimal air-conditioning air flow of the relevant system and economics analysis against the existing facility-type air purification system have been clarified, which should be explored further though follow-up studies.

Numerical simulation of fully nonlinear sloshing waves in three-dimensional tank under random excitation

  • Xu, Gang;Hamouda, A.M.S.;Khoo, B.C.
    • Ocean Systems Engineering
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    • 제1권4호
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    • pp.355-372
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    • 2011
  • Based on the fully nonlinear velocity potential theory, the liquid sloshing in a three dimensional tank under random excitation is studied. The governing Laplace equation with fully nonlinear boundary conditions on the moving free surface is solved using the indirect desingularized boundary integral equation method (DBIEM). The fourth-order predictor-corrector Adams-Bashforth-Moulton scheme (ABM4) and mixed Eulerian-Lagrangian (MEL) method are used for the time-stepping integration of the free surface boundary conditions. A smoothing scheme, B-spline curve, is applied to both the longitudinal and transverse directions of the tank to eliminate the possible saw-tooth instabilities. When the tank is undergoing one dimensional regular motion of small amplitude, the calculated results are found to be in very good agreement with linear analytical solution. In the simulation, the normal standing waves, travelling waves and bores are observed. The extensive calculation has been made for the tank undergoing specified random oscillation. The nonlinear effect of random sloshing wave is studied and the effect of peak frequency used for the generation of random oscillation is investigated. It is found that, even as the peak value of spectrum for oscillation becomes smaller, the maximum wave elevation on the side wall becomes bigger when the peak frequency is closer to the natural frequency.

Wave propagation in a 3D fully nonlinear NWT based on MTF coupled with DZ method for the downstream boundary

  • Xu, G.;Hamouda, A.M.S.;Khoo, B.C.
    • Ocean Systems Engineering
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    • 제4권2호
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    • pp.83-97
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    • 2014
  • Wave propagation in a three-dimensional (3D) fully nonlinear numerical wave tank (NWT) is studied based on velocity potential theory. The governing Laplace equation with fully nonlinear boundary conditions on the moving free surface is solved using the indirect desingularized boundary integral equation method (DBIEM). The fourth-order predictor-corrector Adams-Bashforth-Moulton scheme (ABM4) and mixed Eulerian-Lagrangian (MEL) method are used for the time-stepping integration of the free surface boundary conditions. A smoothing algorithm, B-spline, is applied to eliminate the possible saw-tooth instabilities. The artificial wave speed employed in MTF (multi-transmitting formula) approach is investigated for fully nonlinear wave problem. The numerical results from incorporating the damping zone (DZ), MTF and MTF coupled DZ (MTF+DZ) methods as radiation condition are compared with analytical solution. An effective MTF+DZ method is finally adopted to simulate the 3D linear wave, second-order wave and irregular wave propagation. It is shown that the MTF+DZ method can be used for simulating fully nonlinear wave propagation very efficiently.

Design Optimization of Hybrid-Integrated 20-Gb/s Optical Receivers

  • Jung, Hyun-Yong;Youn, Jin-Sung;Choi, Woo-Young
    • JSTS:Journal of Semiconductor Technology and Science
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    • 제14권4호
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    • pp.443-450
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    • 2014
  • This paper presents a 20-Gb/s optical receiver circuit fabricated with standard 65-nm CMOS technology. Our receiver circuits are designed with consideration for parasitic inductance and capacitance due to bonding wires connecting the photodetector and the circuit realized separately. Such parasitic inductance and capacitance usually disturb the high-speed performance but, with careful circuit design, we achieve optimized wide and flat response. The receiver circuit is composed of a transimpedance amplifier (TIA) with a DC-balancing buffer, a post amplifier (PA), and an output buffer. The TIA is designed in the shunt-feedback configuration with inductive peaking. The PA is composed of a 6-stage differential amplifier having interleaved active feedback. The receiver circuit is mounted on a FR4 PCB and wire-bonded to an equivalent circuit that emulates a photodetector. The measured transimpedance gain and 3-dB bandwidth of our optical receiver circuit is 84 $dB{\Omega}$ and 12 GHz, respectively. 20-Gb/s $2^{31}-1$ electrical pseudo-random bit sequence data are successfully received with the bit-error rate less than $10^{-12}$. The receiver circuit has chip area of $0.5mm{\times}0.44mm$ and it consumes excluding the output buffer 84 mW with 1.2-V supply voltage.