微分

This paper is discussed the existence of solution for nonlinear boundary value problem of fractional differential equation which with a parameter.

本论文讨论了一类含有参数的非线性分数阶微分方程解之间的关系，写出了线性分数阶微分方程解的表达式。

We give out the formula of the ordinary solution of the second order linear homogeneous differential equations with the parameter"λ" and the two kinds of second order linear nonhomogeneous differential equations with the parameter"λ".

给出了含参数λ的二阶线性齐次微分方程及两类含参数λ的二阶线性非齐次微分方程的通解公式。

In this paper, the theoretical model of CQI is described in an atom-diatom system in the condition of the molecular beam, based on the first-Born approximation of time dependent perturbation theory, taking into accounts the anisotropic Lennard-Jones interaction potentials. The method of observing and measuring correctly the differential interference angle is presented. The relation between differential and parameter, velocity is obtained. The relation of the integral interference angle and temperature is discussed.

文中利用一阶含时波恩近似和L-J相互作用势，建立了原子-双原子分子碰撞系统转动传能的量子干涉模型，描述了观察和测量微分干涉角的方法，得到了微分干涉角与碰撞半径和碰撞速度间的关系，同时也得到了积分干涉角和实验温度的关系。

An automatic detecting instrument for differential scattering distribution of super-smooth optical surface .

自动测量超光滑表面微分散射的微分散射仪。

In the minimal coupling model of the electron and photon electromagnetic interaction,we have a precise calculation on the differential cross section of Compton scattering with electron renormalized chain propagator,and obtain the accurate result.

采用电子与光子电磁相互作用最小耦合模型，对电子重整化链图传播下Compton散射微分截面作了严格解析计算，获得精确理论结果；并将该计算结果与电子树图和重整化单圈图传播下Compton散射微分截面作对比分析，获得了有关辐射修正的重要信息。

We fit the anisotropic interaction potential based on the Murrell-Sorbie potential function for He-HCl system by applying the interaction energy data, which are calculated at the theoretical level of the single and double excitation coupled-cluster method with noniteractive perturbation treatment of triple excitation CCSD. The new potential model is compared with other potential models. The differential scattering cross sections for collisions between He atoms and HCl molecules are calculated by using CC (Close-Coupling) method. Furthermore, the changing regularity of the inelastic differential scattering cross sections is summed up.

根据在CCSD/aug-cc-pVQZ理论水平下计算的He-HCl相互作用能数据，作者采用Murrell-Sorbie势函数形式拟合了He原子与HCl分子相互作用的各向异性势，并与其它势模型进行了比较；然后采用公认的精确度较高的CC近似方法计算了He-HCl碰撞体系的微分散射截面，总结了非弹性微分散射截面的变化规律。

In order to testify our whether correction to Rossi's exchange term andthe potential of electron and nucleus is reasonable, we calculate 〓 moleculeelastic differential scattering cross section by electron impact on 100eV, ourresult is obviously better than Rossi's. Then we calculate elastic differentialscattering cross section at 150eV. In order to check the program thatcalculates molecule excitation cross section by electron impact, we calculatehydrogen excitation cross section from ground state to 〓 state at 20eVand 30eV, oxygen excitation cross section from ground state to 〓 state at15eV and 20eV. These calculations are in agreement with other theoreticresults, and experiment measure. Finally, we calculate sulfur moleculeexcitation〓 cross section by electron impact at5eV,7eV,9eV, 11eV, 13eV,15eV, and draw curve of excitation total crosssection corresponding to incident electron energy.

为了核对我们修改的计算激发态的程序是否正确，计算了电子与氢分子碰撞从基态激发到〓态入射能量分别为20eV和30eV时的微分截面以及电子与氧分子碰撞从基态激发到〓态入射能量分别为15eV和20eV时的微分截面，与别人的理论计算结果、实验的测量值基本一致，最后计算了电子与硫分子在5eV、7eV、9eV、11eV、13eV、15eV时的碰撞激发〓截面，作出了电子的入射能量与激发总截面的关系曲线，找出了总截面最大时对应的电子入射能量大约是11电子伏。

This course is meant to bring graduate students who will be using ideas from differential topology and differential geometry up to speed on these topics.

本课程的目的是让需要使用微分拓扑和微分几何的研究生能在这个方向上尽快入门。

Furthermore,this course is benefitial to study differential topology, Riemannian Geometry, Lie group and Nonlinear Analysis etc.

为进一步学习微分几何、微分拓扑、几何分析、黎曼几何、李群、低维拓扑和非线性分析等相关课程奠定良好的基础，并为阅读当代数学文献创造条件。

In mathematics, Chinese scholars have achieved important results in fields such as number theory, theorem-proving by computer, differential geometry, topology, complex analysis, probability and mathematical statistics, PDE, functional analysis, numerical analysis and control theory and so on.

在数学方面，据我所知，中国数学家在诸如数论、定理机器证明、微分几何、拓扑学、复分析、概率论与数理统计、偏微分方程、泛函分析、数值分析和控制论等领域里也都取得了具有国际水平的成果。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。