• 제목/요약/키워드: Linear coefficient

검색결과 2,288건 처리시간 0.032초

STUDY ON THE PERTURBED PIECEWISE LINEAR SUSPENSION BRIDGE EQUATION WITH VARIABLE COEFFICIENT

  • Jung, Tacksun;Choi, Q-Heung
    • Korean Journal of Mathematics
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    • 제19권2호
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    • pp.233-242
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    • 2011
  • We get a theorem that there exist at least two solutions for the piecewise linear suspension bridge equation with variable coefficient jumping nonlinearity and Dirichlet boundary condition when the variable coefficient of the nonlinear term crosses first two successive negative eigenvalues. We obtain this multiplicity result by applying Leray-Schauder degree theory.

TIME PERIODIC SOLUTIONS TO A HEAT EQUATION WITH LINEAR FORCING AND BOUNDARY CONDITIONS

  • In-Jee Jeong;Sun-Chul Kim
    • 대한수학회지
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    • 제60권2호
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    • pp.465-477
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    • 2023
  • In this study, we consider a heat equation with a variable-coefficient linear forcing term and a time-periodic boundary condition. Under some decay and smoothness assumptions on the coefficient, we establish the existence and uniqueness of a time-periodic solution satisfying the boundary condition. Furthermore, possible connections to the closed boundary layer equations were discussed. The difficulty with a perturbed leading order coefficient is demonstrated by a simple example.

Experimental assessment for the photon shielding features of silicone rubber reinforced by tellurium borate oxides

  • M. Elsafi;Heba jamal ALasali;Aljawhara H. Almuqrin;K.G. Mahmoud;M.I. Sayyed
    • Nuclear Engineering and Technology
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    • 제55권6호
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    • pp.2166-2171
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    • 2023
  • In the present study, six silicone rubber doped by tellurium borate oxides were fabricated using the casting method. The densities of the fabricated silicon rubber-doped by tellurium borate oxides samples were measured using the Archimedes Method. Moreover, the linear attenuation coefficient of silicone rubber doped tellurium borate oxides samples was evaluated experimentally using the hyper pure germanium, and the recorded linear attenuation coefficient values were affirmed using the theoretical Phy-X program. The experimental measurements were performed using the narrow beam transmission method with radioactive isotopes Am-241, Cs-137, and Co-60 with energies of 59, 661, 1173, and 1332 keV. The linear attenuation coefficient values showed an enhancement by 4.73 times, 1.20 time, 1.17, time, and 1.17 time, respectively at gamma photon energies of 59, 661, 1173, and 1332 keV, when the TeO2 concentration increased in the fabricated composites from 0 to 50 wt%. The enhancement of the linear attenuation coefficient values has a positive effect on the transmission rate values where the half-value thickness and transmission rate were decreased accompanied by an increase in the RPE.

Testing General Linear Constraints on the Regression Coefficient Vector : A Note

  • Jeong, Ki-Jun
    • Journal of the Korean Statistical Society
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    • 제8권2호
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    • pp.107-109
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    • 1979
  • Consider a linear model with n observations and k explanatory variables: (1)b $y=X\beta+u, u\simN(0,\sigma^2I_n)$. We assume that the model satisfies the ideal conditions. Consider the general linear constraints on regression coefficient vector: (2) $R\beta=r$, where R and r are known matrices of orders $q\timesk$ and q\times1$ respectively, and the rank of R is $qk+q$.

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단순회귀분석에 의한 토층의 투수계수산정모델 제안 (Proposal for the Estimation Model of Coefficient of Permeability of Soil Layer using Linear Regression Analysis)

  • 이문세;류제천;임희대;박주환;김경수
    • 지질공학
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    • 제18권1호
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    • pp.27-36
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    • 2008
  • 이 연구는 토질특성을 평가하는 주요 영향인자인 투수계수를 몇 가지 토질물성만으로 쉽게 산정할 수 있도록 단순회귀 분석을 이용하여 투수계수산정모델을 개발하였다. 이를 위한 연구지역은 강원도 평창군 진부면지역으로 총 45개 지점에서 토층시료를 채취하여 실내에서 여러 토질시험을 실시하였다. 상관분석을 통해 시험결과들 중 투수계수에 유효한 토질인자를 선별한 후 선별된 인자들과 직접투수시험에 의한 투수계수간의 관계를 단순회귀분석으로 공식화한 투수계수산정모델을 개발하였다. 또한, 개발된 투수계수산정모델과 직접투수시험 및 각 경험식들에 의한 투수계수를 비교 분석하여 모델의 적합성을 검증하였다. SPSS(statistical package for the social sciences)를 이용하여 여러 토질물성과 투수계수간의 상관관계를 분석한 결과 유효경, 간극비, 건조단위중량이 투수계수에 가장 크게 영향을 미치는 토질인자인 것으로 나타났다. 투수계수 산정모델에 의한 투수계수는 직접투수시험에 의한 투수계수와 거의 유사한 결과를 보였다. 따라서 개발된 투수계수산정모델은 연구지역과 같은 토질조건인 경우 토층의 투수계수 산정을 위한 모델로 이용이 가능할 것으로 사료된다.

보청천 유역의 평균조도계수 산정 (Estimation of Average Roughness Coefficients of Bocheong Stream Basin)

  • 전민우;이효상;안상억;조용수;전만우
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2009년도 학술발표회 초록집
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    • pp.1306-1310
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    • 2009
  • The roughness coefficients were estimated by the Manning's equation for the measured stage and flow velocity of Bocheong stream basin in Kum river. The relationships between the estimated roughness coefficients and the geomorphologic factors were formulated by the linear, logarithmic, exponential and power type function, thereafter correlation equations were presented. The correlation analysis was performed between the measured stream length and the basin area of Bocheong stream basin by the linear, logarithmic, exponential and power type function, and correlation equation for the stream length was given. The roughness coefficient has strong correlationship with stream slope, but low correlation coefficients with stream length and basin area. For the correlationship with the roughness coefficients and the stream slope, the logarithmic type function has the smallest correlation coefficient, on the other hand, the exponential type function has the largest correlation coefficient. For the relationship between the stream length and the basin area, the correlation coefficient of the logarithmic type function shows the smallest value, linear type function shows the largest value.

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선형파 이론에 의한 분산계수 유도 (Derivation of the Dispersion Coefficient based on the Linear Wave Theory)

  • 조홍연;정신택
    • 한국해안해양공학회지
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    • 제12권4호
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    • pp.190-194
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    • 2000
  • 선형파 이론에서 제시되는 유속분포를 이용하여 파랑인자에 의하여 영향을 받는 분산계수를 이론적으로 유도하였다. 유도된 분산계수는 수심평균, 주기 평균된 값으로 천해조건보다 심해조건에서 큰 값을 보이고 있다. 또한, 분산계수 값은 연직 방향 혼합시간에 비하여 큰 주기 값에서는 특정한 값으로 수렴하고, 매우 작은 주기 값에서는 0으로 되는 일반적인 경향도 보이고 있다. 한편, 단순한 지형 및 가정 하에서 유도된 본 분산계수를 보다 실질적인 상황에서도 적용할 수 있고, 천해영역의 조건을 반영할 수 있도록 보완·수정할 필요가 있다.

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가공전선의 이도거동에서 탄성계수와 선팽창계수의 영향 (The Effects of Elastic Modulus Coefficient and Linear Expansion Coefficient of Overhead Conductor on Sag Behavior)

  • 김병걸;김상수;왕윤찬
    • 한국전기전자재료학회논문지
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    • 제21권10호
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    • pp.954-960
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    • 2008
  • The effects of elastic modulus coefficient and linear expansion coefficient of overhead distribution power line(ACSR $58 mm^2$) on sag behavior in distribution line have been investigated to clarify the difference between specification and experimental level. The elastic modulus coefficients of Al wire and steel wire were $5,182.6 kgf/mm^2,\;18,348.8 kgf/mm^2$, respectively Therefore, the computational composition elastic modulus coefficient of the power line was $7,063.5 kgf/mm^2$, while that of experimentally measured was $7681.1 kgf/mm^2$. As a result, we found that elastic modulus coefficient which was experimentally measured was higher than that of computational by 8.7 %. However, when planner designs the sag of disoibution line, the elastic modulus coefficient of power line $8,400 kgf/mm^2$ should be generally adopted. These two different using values lead to the sag difference of 0.62 m. The other results will be discussed.