• 제목/요약/키워드: Substitution method

검색결과 699건 처리시간 0.025초

NUMERICAL SOLUTION OF A CLASS OF THE NONLINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS

  • Saeedi, L.;Tari, A.;Masuleh, S.H. Momeni
    • Journal of applied mathematics & informatics
    • /
    • 제31권1_2호
    • /
    • pp.65-77
    • /
    • 2013
  • In this paper, we develop the operational Tau method for solving nonlinear Volterra integro-differential equations of the second kind. The existence and uniqueness of the problem is provided. Here, we show that the nonlinear system resulted from the operational Tau method has a semi triangular form, so it can be solved easily by the forward substitution method. Finally, the accuracy of the method is verified by presenting some numerical computations.

Booth 알고리즘의 승수 비트-쌍 재코딩을 이용한 광곱셈기의 구현에 관한 연구 (A study on implementation of optical high-speed multiplier using multiplier bit-pair recoding derived from Booth algorithm)

  • 조웅호;김종윤;노덕수;김수중
    • 전자공학회논문지D
    • /
    • 제35D권10호
    • /
    • pp.107-115
    • /
    • 1998
  • 피승수와 승수의 부호에 상관없이 빠른 이진곱셈을 수행할 수 있는 효과적인 방법으로서 Booth 알고리즘의 승수 비트-쌍 재코딩 알고리즘을 사용한다. 본 연구에서는 승수 비트-쌍 재코딩 알고리즘을 광특성에 적합하도록 변형 발전시킨 광곱셈 알고리즘과 기호치환 가산기로 구성된 고속의 광곱셈기의 구현을 제안한다. 특히, 기호치환 가산규칙을 듀얼-레일 논리로 부호화해서 이 논리의 보수가 언제나 존재하기 때문에 기호치환 가산기에서 이 논리의 보수가 시프트연산에 의해 쉽게 구할 수 있게 했다. 또한 시프트된 두 영상을 직렬 연결하여 중첩시키므로서 중첩영상을 얻고, 이 중첩영상을 마스크로 보내 기준영상을 인식하는 기호치환 시스템을 구성한다. 따라서 광곱셈기의 수동광소자의 수와 시스템의 크기를 줄여서 일반적인 광시스템과 비교하여 작은 시스템으로 구현한다.

  • PDF

PNN 치환에 따른 PMW-PNN-PZT-BF 세라믹스의 미세구조와 압전 특성 (Microstructure and Piezoelectric Properties of Low Temperature Sintering PMW-PNN-PZT-BF Ceramics According to PNN Substitution)

  • 신상훈;류주현
    • 한국전기전자재료학회논문지
    • /
    • 제29권2호
    • /
    • pp.90-94
    • /
    • 2016
  • In this work, [$Pb(Mg_{1/2}W_{1/2})_{0.03}(Ni_{1/3}Nb_{2/3})_x(Zr_{0.5}Ti_{0.5})_{0.97-x}O_3-BiFeO_3$] (x=0.02 to 0.12) composition ceramics were fabricated by the conventional soild state reaction method and their microstructure and piezoelectric properties were investigated according to PNN substitution. The addition of small amount of $BiFeO_3$, $Li_2CO_3$, and $CaCO_3$ were used in order to decrease the sintering temperature of the ceramics. The XRD (x-ray diffraction patterns) of all ceramics exhibited a perovskite structure. The sinterability of PMW-PNN-PZT-BF ceramics was remarkably improved using liquid phase sintering of $CaCO_3$, $Li_2CO_3$. However, it was identified from of the X-ray diffraction patterns that the secondary phase formed in grain boundaries decreased the piezoelectric properties. According to the substitution of PNN, the crystal structure of ceramics is transformed gradually from a tetragonal to rhombohedral phase. The x=0.10 mol PNN-substituted PMW-PNN-PZT-BF ceramics sintered at $920^{\circ}C$ showed the optimum values of piezoelectric constant($d_{33}$), piezoelectric figure of merit($d_{33{\cdot}}g_{33}$), planar piezoelectric coupling coefficient($k_p$) and density : $d_{33}=566$ [pC/N], $g_{33}=29.28[10^{-3}mV/N]$, $d_{33{\cdot}}g_{33}=16.57[pm^2/N]$, $k_p=0.61$, density=7.82 [$g/cm^3$], suitable for duplex ultrasonic sensor application.

Benzobisoxazole 분자를 활용한 치환기 효과의 표준화 (Standardization of Substituent Effects based on Benzobisoxazole Molecule)

  • 양창혁;정기호;고경철
    • 대한화학회지
    • /
    • 제68권4호
    • /
    • pp.185-190
    • /
    • 2024
  • 최근에 benzobisoxazole (BBO) 분자가 HOMO와 LUMO 에너지 준위를 각각 독립적으로 조절하는데 사용될 수 있다는 연구가 보고되었다. 이 연구에서는 이 흥미로운 BBO 분자의 특성을 치환기에 따른 치환기 효과를 정량적으로 조사하는데 이용해보았다. BBO 분자를 중심으로 π-컨쥬게이션 길이를 확장시켜 4개의 BBO 모델 시스템을(1BBO, 2BBO, 3BBO, 4BBO) 디자인하고 제안했다. 치환은 두 방향(x-축, y-축), 총 15개의 치환기가 고려되었다. DFT 방법으로 계산된 x-축 치환 LUMO 에너지 준위와 y-축 치환 HOMO 에너지 준위 사이의 강한 상관관계로부터, BBO 모델 시스템들이 치환기 효과를 표준화 할 수 있음을 밝혔다. 또한 3BBO 시스템의 x-축 치환 HOMO 에너지 준위가 치환기 효과의 순서를 규정하는데 가장 적합한 것을 입증했다. 우리가 제안한 방법은 어떤 임의의 치환기에 대한 치환기 효과를 예측하는데 활용 될 수 있고, 유기 센서나 유기 발광 다이오드 개발에 활용될 수 있다.

Fuzzy Regression Model Using Trapezoidal Fuzzy Numbers for Re-auction Data

  • Kim, Il Kyu;Lee, Woo-Joo;Yoon, Jin Hee;Choi, Seung Hoe
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • 제16권1호
    • /
    • pp.72-80
    • /
    • 2016
  • Re-auction happens when a bid winner defaults on the payment without making second in-line purchase declaration even after determining sales permission. This is a process of selling under the court's authority. Re-auctioning contract price of real estate is largely influenced by the real estate business, real estate value, and the number of bidders. This paper is designed to establish a statistical model that deals with the number of bidders participating especially in apartment re-auctioning. For these, diverse factors are taken into consideration, including ratio of minimum sales value from the point of selling to re-auctioning, number of bidders at the time of selling, investment value of the real estate, and so forth. As an attempt to consider ambiguous and vague factors, this paper presents a comparatively vague concept of real estate and bidders as trapezoid fuzzy number. Two different methods based on the least squares estimation are applied to fuzzy regression model in this paper. The first method is the estimating method applying substitution after obtaining the estimators of regression coefficients, and the other method is to estimate directly from the estimating procedure without substitution. These methods are provided in application for re-auction data, and appropriate performance measure is also provided to compare the accuracies.

하국산 십각류의 18S 리보솜 RNA의 염기분석과 분자계통에 관한 연구 (Nucleotide Analysis of 185 rRNA and Molecular Phylogeny of the Korean Decapods)

  • Kim, Won
    • 한국동물학회지
    • /
    • 제35권1호
    • /
    • pp.80-86
    • /
    • 1992
  • The nucleotide sequences of 185 rRNAs of the five Korean decapods were partially determined by the direct sequencing method using the reverse transcriptase. ne average GC content of five species was 51.1% which is higher than that of yeast(45.0%) and lower than those of frog (53.0%) and rat (55.6%). This result follows the general patterns of the GC content in the nucleotides of the nucleic acid shown among the various phylogenetic groups. The average ratio of transrional/transversional nucleotide substitution of pairwise comparison among six species (including Anemia salina) was 1.200 $\pm$ 0.310 when whole region alas examined. However, the ratio showed some differences when the conservative regions and variable regions frere separatelv examined. The molecular phylogenies of the five species were constructed by using two different tree making methods. In general the results support the previously reported molecular phylogeny of the decapod crustaceans. However, our results indicate thats in the analysis of the sequence dat3, the UPGMA clustering method of the distance matrix method should be carefully employed after considering the rate of nucneotide substitution in the different regions of the molecule.

  • PDF

Nickel Substitution Effects on Nano-sized Co, Mn and MnZn Ferrites Synthesized by Sol-gel Method

  • Choi, Won-Ok;Kwon, Woo Hyun;Chae, Kwang Pyo;Lee, Young Bae
    • Journal of Magnetics
    • /
    • 제21권1호
    • /
    • pp.40-45
    • /
    • 2016
  • Nickel substituted nano-sized ferrite powders, $Co_{1-x}Ni_xFe_2O_4$, $Mn_{1-x}Ni_xFe_2O_4$ and $Mn_{1-2x}Zn_xNi_xFe_2O_4$ ($0.0{\leq}x{\leq}0.2$), were fabricated using a sol-gel method, and their crystallographic and magnetic properties were subsequently compared. The lattice constants decreased as quantity of nickel substitution increased, while the particle size decreased in $Co_{1-x}Ni_xFe_2O_4$ ferrite but increased for the $Mn_{1-x}Ni_xFe_2O_4$ and $Mn_{1-2x}Zn_xNi_xFe_2O_4$ ferrites. For the $Co_{1-x}Ni_xFe_2O_4$ and $Mn_{1-x}Ni_xFe_2O_4$ ($0.0{\leq}x{\leq}0.2$) ferrite powders, the $M{\ddot{o}}ssbauer$ spectra could be fitted as the superposition of two Zeeman sextets due to the tetrahedral and octahedral sites of the $Fe^{3+}$ ions. However, the $M{\ddot{o}}ssbauer$ spectrum of $Mn_{0.8}Zn_{0.1}Ni_{0.1}Fe_2O_4$ consisted of two Zeeman sextets and one single quadrupole doublet due to the ferrimagnetic and paramagnetic behavior. The area ratio of the $M{\ddot{o}}ssbauer$ spectra could be used to determine the cation distribution equation, and we also explain the variation in the $M{\ddot{o}}ssbauer$ parameters by using this cation distribution equation, the superexchange interaction and the particle size. The saturation magnetization decreased in the $Co_{1-x}Ni_xFe_2O_4$ and $Mn_{1-2x}Zn_xNi_xFe_2O_4$ ferrites but increased in the $Mn_{1-x}Ni_xFe_2O_4$ ferrite with nickel substitution. The coercivity decreased in the $Co_{1-x}Ni_xFe_2O_4$ and $Mn_{1-2x}Zn_xNi_xFe_2O_4$ ferrites but increased in the $Mn_{1-x}Ni_xFe_2O_4$ ferrite with nickel substitution. These variations could thus be explained by using the site distribution equations, particle sizes and spin magnetic moments of the substituted ions.

Resistive Switching Memory Devices Based on Layer-by-Layer Assembled-Superparamagnetic Nanocomposite Multilayers via Nucleophilic Substitution Reaction in Nonpolar Solvent

  • 김영훈;고용민;구본기;조진한
    • 한국재료학회:학술대회논문집
    • /
    • 한국재료학회 2011년도 춘계학술발표대회
    • /
    • pp.243.1-243.1
    • /
    • 2011
  • We demonstrate a facile and robust layer-by-layer (LbL) assembly method for the fabrication of nonvolatile resistive switching memory (NRSM) devices based on superparamagnetic nanocomposite multilayers, which allows the highly enhanced magnetic and resistive switching memory properties as well as the dense and homogeneous adsorption of nanoparticles, via nucleophilic substitution reaction (NSR) in nonpolar solvent. Superparamagnetic iron oxide nanoparticles (MP) of about size 12 nm (or 7 nm) synthesized with oleic acid (OA) in nonpolar solvent could be converted into 2-bromo-2-methylpropionic acid (BMPA)-stabilized iron oxide nanoparticles (BMPA-MP) by stabilizer exchange without change of solvent polarity. In addition, bromo groups of BMPA-MP could be connected with highly branched amine groups of poly (amidoamine) dendrimer (PAMA) in ethanol by NSR of between bromo and amine groups. Based on these results, nanocomposite multilayers using LbL assembly could be fabricated in nonpolar solvent by NSR of between BMPA-MP and PAMA without any additional phase transfer of MP for conventional LbL assembly. These resulting superparamagnetic multilayers displayed highly improved magnetic and resistive switching memory properties in comparison with those of multilayers based on water-dispersible MP. Furthermore, NRSM devices, which were fabricated by LbL assembly method under atmospheric conditions, exhibited the outstanding performances such as long-term stability, fast switching speed and high ON/OFF ratio comparable to that of conventional inorganic NRSM devices produced by vacuum deposition.

  • PDF

서미스터 마운트 교정을 위한 10 MHz에서 1 GHz 주파수 대역의 단순 직접 비교 측정시스템 설계 (Design of Simple Direct Comparison Measurement System from 10 MHz to 1 GHz for Thermistor Mounts Calibration)

  • 차윤배;장용근;김부일
    • 한국전자통신학회논문지
    • /
    • 제15권3호
    • /
    • pp.405-412
    • /
    • 2020
  • 서미스터 마운트는 전력의 변화에 따른 교정인자 값이 일정하여 정밀한 무선주파수 전력 측정에 사용하고 있다. 표준 마운트의 교정인자는 직류 대체법을 이용하여 전달표준과 직접 비교를 통해 10 MHz부터 1 GHz 대역까지 불확도 0.5 % 이하로 측정할 수 있다. 최근 직류 대체법 기반 정밀한 전력계의 산업계 보급으로 보다 간단하고, 빠른 측정이 가능함에 따라 동일한 불확도 수준의 단순 직접 비교 측정시스템을 설계하고, 부정합 오차의 분석을 통해 구성품의 최소 요구 사양을 제시하였다. 시스템 유효성 검증을 위해 시스템 불확도를 평가하였으며, 불확도 결과는 측정 주파수 대역에서 0.5 % 이내에서 잘 유지되었음을 보여준다.

Partial Substitution of Copper with Nickel for the Superconducting Bismuth Compound and Its Effect on the Physical and Electrical Properties

  • Kareem Ali Jasim;Riyam Abd Al-Zahra Fadil;Kassim Mahdi Wadi;Auday Hattem Shaban
    • 한국재료학회지
    • /
    • 제33권9호
    • /
    • pp.360-366
    • /
    • 2023
  • This study focuses on how the partial substitution of copper by nickel nanoparticles affects the electrical and structural properties of the Bi2Ba2Ca2Cu2.9Ni0.1O10+δ, Bi2Ba2Ca2Cu2.8Ni0.2O10+δ and Bi2Ba2Ca2Cu2.6Ni0.4O10+δ compounds. Approximate values of crystallization size and crystallization percentage for the three compounds were calculated using the Scherer, modified Scherer, and Williamson-Hall methods. A great similarity was observed in the crystal size values from the Scherer method, 243.442 nm, and the Williamson-Hall method, 243.794 nm for the second sample. At the same time this sample exhibited the highest crystal size value for the three methods. In the examination of electrical properties, the sample with 0.1 partial substitution, Bi2Ba2Ca2Cu2.9Ni0.1O10+δ was determined to be the best with a critical temperature of 100 K and an energy gap of 6.57639 × 10-21 MeV. Using the SEM technique to analyze the structural morphology of the three phases, it was discovered that the size of the granular forms exceeds 25 nm. It was determined that the samples' shapes alter when nickel concentration rises. The patterns that reveal the distribution of the crystal structure also exhibit clear homogeneity.