运用解析方法对量子点的结构进行分析，通过对积分核函数进行计算，可以得到各种量子点结构的应力应变分布。
An analytical method based on Green's function for calculating strain filed in quantum dot structures of arbitrary shape was presented.
得到的积分方程中的积分核具有奇异性，再根据R -函数理论，可以选择适当的边界规范化方程，消除核的奇异性。
By choosing suitable boundary normalized equation in according to R-function theory, the irregularity of integral kernel in integral equation can be eliminated.
讨论具有跳跃非线性项的非正定核积分方程。
This paper deals with indefinite integral equations with jumping nonlinearities.
考虑一类垂直断层效应反演问题，其数学模型是具有解析核的第一类积分方程。
A class of inverse problems of perpendicular fault effect are discussed, which are modeled by a first kind integral equation with an analytic kernel.
本文给出了具有变量可分离核的积分方程解的存在条件和初等求解法。
This paper gives existence and uniqueness condition of solutions of the integral equation with variable separable kernel, and it's elementary solutions.
本文研究带有齐性核的奇异积分算子与BMO函数的交换子。
The commutator generated by BMO functions and singular integral operators with homogeneous kernel is studied.
对超音速核函数法的展向积分作了改进。
Some improvements are made on the spanwise integration of the supersonic kernel function method.
对于积分方程应用再生核解法进行求解，并应用数学软件进行数值求解。
As the integral equation, the authors use the reproducing kernel method to seek the solution, and seek the numerical solution by the Mathematic software.
导出了具有正定对称核的积分方程最小特征值的一个下界估计式。以此为基础，获得了相应特征值的一种算法。
In this paper an estimation of lower bound of minimum eigenvalue for the integral equation is obtained. Based on this estimation we introduce a new method for the corresponding eigenvalue calculation.
通过高斯分布函数描述形核质点密度随温度的分布关系，在给定过冷度时对分布函数求积分可得该时刻的形核密度。
Gauss distribution function was employed to describe the relation between the density of nucleation sites and the temperature and was integrated to get the grain density at a given undercooling.
本文基于“F”与“V”类积分方程序的基本形式，抽象出积分方程序“核”的基本定义。
This article discusses the basic form of "f" and "V" type integral equations, abstracts the basic definition of integral equation "nucleus".
数学用语，已知函数乘以所谓核函数时所产生的函数，而这个产物在适当的极限之间积分化。
In mathematics, a function that results when a given function is multiplied by a so-called kernel function, and the product is integrated Between suitable limits.
不同微合金化系列有效的IAF形核核心数量不同，导致HAZ组织中iaf体积分数和HAZ强韧性相应发生变化。
The number of effective IAF nuclei were inconsistent for different microalloying series, resulting the corresponding changes of the volume fraction of IAF in HAZ and strength and toughness of HAZ.
作者得到了粗糙核分数次积分算子的两权弱型不等式，推广了Cruz-Uribe和Perez的结果。
The authors give the two-weight weak-type inequality for the rough fractional integral operator, which is an extension of result obtained by Cruz-Uribe and Perez.
作者得到了粗糙核分数次积分算子的两权弱型不等式，推广了Cruz-Uribe和Perez的结果。
The authors give the two-weight weak-type inequality for the rough fractional integral operator, which is an extension of result obtained by Cruz-Uribe and Perez.
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