• 제목/요약/키워드: N-R Method

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A NUMERICAL METHOD FOR SOLVING THE FREDHOLM INTEGRAL EQUATION OF THE SECOND KIND

  • Sridharan, V.;Jayashree, P.R.
    • Journal of applied mathematics & informatics
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    • 제5권2호
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    • pp.293-300
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    • 1998
  • The numerical method is used to solve the Fredholm integral equation of the second kind with weak singular kernels using the Toeplitz matrices. The solution has a computing time requir-ment of O(N2) where 2N+1 is the number of discretization points used. Also the error estimate is computed. Some numerical Exam-ples are computed using the Mathcad package.

pH 의존 특성을 갖는 Poly(ethylene-alt-maleic anhydride)/Poly(4-vinyl pyridine) 다층막의 염료 흡착 및 방출 거동 연구 (pH-Dependent Dye Adsorption and Release Behaviors of Poly(ethylene-alt-maleic anhydride)/poly(4-vinyl pyridine) Multiplayer Films)

  • 흥숙영;이준열
    • 폴리머
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    • 제29권6호
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    • pp.593-598
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    • 2005
  • Layer-by-layer(LbL) 자기 조립법에 의한 poly(ethylene-alt-maleic anhydride)(PEMAh)/poly(4-vinyl pyridine)(P4VP) 다층막의 염료 흡착 거동 및 pH 변화에 의한 염료 방출 거동을 Rodamine 6G(R6G)를 지시제로 사용하여 조사하였다. UV-vis 분광 분석을 이용하여 (PEMAh/P4VP)n 다층막의 두께 및 R6G의 흡착 및 방출 거동을 조사하였다. 다층막에 흡착되는 R6G의 흡착량은 필름의 두께 증가에 따라 선형적으로 증가하였다. (PEMAhAh/P4VP)n 다층막의 투과성은 pH 조건에 민감한 거동을 보였으며, 방출액의 pH가 감소할수록 R6G 방출 속도와 방출량은 증가하였다. PEMAh/poly(ethyleneimine)(PEI) capping layer를 (PEMAh/P4VP)n 다층막에 추가로 적층함으로써 흡착된 R6G의 방출 속도를 조절할 수 있었다.

Stereoselective attachment of S-Proline on Ge(100)

  • Youn, Young-Sang;Kim, Ki-Jeong;Kim, Bong-Soo;Lee, Hang-Il;Kim, Se-Hun
    • 한국진공학회:학술대회논문집
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    • 한국진공학회 2009년도 제38회 동계학술대회 초록집
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    • pp.367-367
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    • 2010
  • The adsorption configurations of S-proline on Ge(100) were studied using scanning tunneling microscopy (STM), density functional theory (DFT) calculations, and high-resolution core-level photoemission spectroscopy (HRCLPES). We identified three adsorption structures of S-proline on Ge(100) through analysis of the STM images, DFT calculations, and HRCLPES results: (i) an 'intrarow O - H dissociated and N dative bonded structure', (ii) an 'O - H dissociation structure', and (iii) an 'N dative bonded structure'. Moreover, because adsorption through the N atom of S-proline produces a new chiral center due to symmetry reduction by N dative bonding, the adsorption configurations have either (R,S) or (S,S) chirality, yielding an (R,S)-'intrarow O - H dissociated and N dative bonded structure' and an (R,S)-'N dative bonded structure', with a preference for reaction at the Re face. This work presents a novel method for generating stereoselective attachment using S-proline molecules adsorbed onto a Ge(100) surface.

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ON A WARING-GOLDBACH PROBLEM INVOLVING SQUARES, CUBES AND BIQUADRATES

  • Liu, Yuhui
    • 대한수학회보
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    • 제55권6호
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    • pp.1659-1666
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    • 2018
  • Let $P_r$ denote an almost-prime with at most r prime factors, counted according to multiplicity. In this paper, it is proved that for every sufficiently large even integer N, the equation $$N=x^2+p_1^2+p_2^3+p_3^3+p_4^4+p_5^4$$ is solvable with x being an almost-prime $P_4$ and the other variables primes. This result constitutes an improvement upon that of $L{\ddot{u}}$ [7].

COMPUTING THE HAUSDORFF DISTANCE BETWEEN TWO SETS OF PARAMETRIC CURVES

  • Kim, Ik-Sung;McLean, William
    • 대한수학회논문집
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    • 제28권4호
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    • pp.833-850
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    • 2013
  • We present an algorithm for computing the Hausdorff distance between two parametric curves in $\mathbb{R}^n$, or more generally between two sets of parametric curves in $\mathbb{R}^n$. During repeated subdivision of the parameter space, we prune subintervals that cannot contain an optimal point. Typically, our algorithm costs O(logM) operations, compared with O(M) operations for a direct, brute-force method, to achieve an accuracy of $O(M^{-1})$.

푸래너.다이오드와 트랜지스터의 시작[제I보] (Processes For Fabricating Planar p-n Diodes and Planar n-p-n Transistors)

  • 정만영;안병성;김준호
    • 대한전자공학회논문지
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    • 제3권2호
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    • pp.2-9
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    • 1966
  • 실리콘 프래너트 npn 랜짓스터 제작과정을 기술하였다. 표면처리, 산화, K.P.R. boron 확산, 인확산 및 Al 증착등은 중요한 과정들이다. Boron층은 box method로 B2O3-SiO2계확산물을 사용하여 만들었고 린은 P2O5-SiO2계확산물을 사용하였다. 이 중간과정으로서 "실리콘·프래너·다이오드"도 제작되었다.

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Heap 병합 병렬 알고리즘 (On the parallel merging algorithm)

  • 민용식
    • 한국음향학회지
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    • 제12권2호
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    • pp.5-13
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    • 1993
  • The purpose of this paper is to suggest and analyze the parallel algorithm for merging two heaps, on SIMD-SM-R parallel computer. In order to create the parallel algorithm for merging two heaps, we have classified two subproblems. For the first method, to select node p as a LEVEL-FIND function, Wyllie(19) suggests the method with time complexity O(log n) while this thesis has O(log(n/k)). For the second method, to merge two subheap, our algorithm has O(log(n/k)*log(n)) using max(2**(i-1), 「(m+1)/4」)'s processors while Dekel and Sahni(4)'s method and Hong's method(18) have O(log m). Also our parallel algorithm's EPU is close to 1 and so has an optimal speed-up ratio.

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A HYBRID METHOD FOR REGULARIZED STRUCTURED LINEAR TOTAL LEAST NORM

  • KWON SUNJOO
    • Journal of applied mathematics & informatics
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    • 제18권1_2호
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    • pp.621-637
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    • 2005
  • A hybrid method solving regularized structured linear total least norm (RSTLN) problems, which have highly ill-conditioned coefficient matrix with special structures, is suggested and analyzed. This scheme combining RSTLN algorithm and separation by parts guarantees the convergence of parameters and has an advantages in reducing the residual norm and relative error of solutions. Computational tests for problems arisen in signal processing and image formation process confirm that the presenting method is effective for more accurate solutions to (R)STLN problem than the (R)STLN algorithm.

Experimental and Simulated Efficiency of a HPGe Detector in the Energy Range of $0.06{\sim}11$ MeV

  • Park Chang Su;Sun Gwang Min;Choi H.D.
    • Nuclear Engineering and Technology
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    • 제35권3호
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    • pp.234-242
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    • 2003
  • The full energy peak efficiency of a hyper pure germanium (HPGe) detector was calibrated in a wide energy range from 0.06 to 11 MeV. Both the experimental technique and the Monte Carlo method were used for the efficiency calibration. The measurement was performed using the standard radioisotopes in the low energy region of $60{\sim}1408$ keV, which was further extended up to 11 MeV by using the $^{14}N(n,r)\;and\;^{35}Cl(n,r)$ reactions. The GEANT Monte Carlo code was used for efficiency calculation. The calculated efficiency had the same dependency on the r-ray energy with the measurement, and the discrepancy between the calculation and the measurement was minimized by fine-tuning of the detector geometry. From the calculated result, the efficiency curve of the HPGe detector was reliably determined particularly in the high energy region above several MeV, where the number of measured efficiency points is relatively small despite the wide energy region. The calculated efficiency agreed with the measurement within about $7\%$. In addition to the efficiency calculation, the origin of the local minimum near 600 keV on the efficiency curve was analyzed as a general characteristics of a HPGe detector.