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limit zero
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     The mathematical model of point charge is not only a geOmetric body of approaching the limit zero,but a thin circular ring of two or three dimensional spaces. The existence of such a model has the practical significance towards a regularity of electrical movement of the electrostatic field.
     阐述了点电荷的数学模型不仅可以是逼近于零的几何形体.而且对于电荷的某种对称分布而言,可以是二维、三维空间的细圆环.这种模型的存在对研究静电场电运动规律有实际意义.
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  相似匹配句对
     On Limit
     极限概念的辩证法探讨
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     The Path Limit and the Zero Function
     道路极限与零函数
短句来源
     BEHAVIOR OF THE GLAUBER DYNAMICS IN THE LIMIT AS THE TEMPERATURE GOES TO ZERO
     BEHAVIOR OF THE GLAUBER DYNAMICS IN THE LIMIT AS THE TEMPERATURE GOES TO ZERO
短句来源
     On the Limit Problem
     谈一个极限问题
短句来源
     SUSPECT ZERO
     [零号嫌疑犯]
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  limit zero
The results in the limit zero density have been employed to assess the accuracy of the instrument using exact kinetic theory expressions and has been found to be better than ±0.5%.
      
If for a given function the sequence of differences between (k+1)-variations andk-variations has the limit zero ask increases we say the function is ofrestricted variation.
      
The quasineutral limit (zero-Debye-length limit) is performed rigorously by using the weak compactness argument and the so-called entropy functional which yields appropriate uniform estimates.
      
The phase diagram of the Extended Hubbard Model in the atomic limit (zero band width) is investigated for arbitrary values of intra-site interactionI, inter-site repulsionW and chemical potential μ.
      
The three other vertical boundary integrals likewise have limit zero.
      


The mathematical model of point charge is not only a geOmetric body of approaching the limit zero,but a thin circular ring of two or three dimensional spaces. The existence of such a model has the practical significance towards a regularity of electrical movement of the electrostatic field.

阐述了点电荷的数学模型不仅可以是逼近于零的几何形体.而且对于电荷的某种对称分布而言,可以是二维、三维空间的细圆环.这种模型的存在对研究静电场电运动规律有实际意义.

The limit of vanishing Debye length (charge neutral limit) in a nonlinear bipolar drift-diffusion model for semiconductors without pn-junction (i.e. with a unipolar background charge) is studied. The quasineutral limit (zero-Debye-length limit) for the fast diffusion case is performed rigorously by using the compactness argument and the so-called entropy functional which yields appropriate uniform estimates.

本文研究无P_n-联结的非线性双极半导体漂流扩散模型的消失Debye长度极限(即粒子中性极限)问题.使用熵方法和弱紧性方法从数学上严格证明了快扩散情形的拟中性极限.

The quasineutral limit of drift-diffusion models for semiconductors with PN-junctions (i.e. with a fixed bipolar background charge) is studied in the multi-dimensional case. For generally smooth sign-changing doping profiles with good boundary conditions, the quasineutral limit (zero-Debye-length limit) is justified rigorously in the Sobolev's norm uniformly in time. The proof is based on the elaborate energy method and the relative entropy functional method which yield the uniform estimates...

The quasineutral limit of drift-diffusion models for semiconductors with PN-junctions (i.e. with a fixed bipolar background charge) is studied in the multi-dimensional case. For generally smooth sign-changing doping profiles with good boundary conditions, the quasineutral limit (zero-Debye-length limit) is justified rigorously in the Sobolev's norm uniformly in time. The proof is based on the elaborate energy method and the relative entropy functional method which yield the uniform estimates with respect to the scaled Debye length.

为了研究带PN结的高维半导体漂流扩散方程组的拟中性极限问题,使用能量方法和entropy方法在索伯列夫范数意义下严格证明了具有好边界的变号doping轮廓情形下的PN结高维半导体漂流方程组的拟中性极限。

 
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