指数方程

The index system was first set up, which reflected the economy, society, resources and environment conditions in the district. Then, factorization method was employed by using the software SPSS to obtain comprehensive index numbers. The linear regression method and fuzzy mathematics method were used to compute the coordination degree of economy, society, resources and environment. Finally, on the basis of the status of comprehensive evaluation indexes and coordination degree of the district, the main problems in the sustainable development of Beibei District were found out and some suggestions were also proposed.

为将北碚建设成为国家可持续发展示范区，探讨有北碚特色的可持续发展模式，首先建立反映北碚区经济、社会和资源环境发展状况的指标体系；在此基础上，利用SPSS软件对数据进行因子分析，得到三大体系的综合评价指数；将综合评价指数代入eview软件选择适合的回归方程，再利用模糊数学的方法，计算出成立试验区以来北碚的经济、社会和资源环境的协调发展度；最后在综合评价指数和协调度的基础上，发现北碚区协调发展的主要问题并给出建议。

The constitutive equation between current density vector and electric field strength vector is tranformed into s-domain by the principle of Laplace transform,and the inverse Laplace transform is adopted for the explicit equations between them in time-domain. Finally through exponential time stepping,the FDTD iteration equations are obtained,which can be easily solved in discrete-time-domain.

该方法是将电流密度矢量与电场强度矢量之间的本构方程基于拉普拉斯变换原理转到复频域，然后再逆变换到时域得到它们之间显式的方程，最后再结合指数差分，得到离散时域的显式的FDTD迭代方程，解决了本构方程中电流密度矢量的分量相互耦合而不易直接离散的困难。

Firstly, the existence and uniqueness of the solution for neutral stochastic functional differential equations with infinite delay under the uniformly Lipschitz condition, linear grown condition and contractive condition can be directly derived; And the moment estimate of the solution and the estimate for error between the approximate solution and the accurate solution can be both given; If the uniformly Lipschitz condition is replaced by the local Lipschitz condition, the existence and uniqueness theorem can be gained; Meanwhile, the existence and uniqueness of the global solution in the interval 0,+∞ can also be obtained; Secondly, L~p-exponential estimate of the solution for neutral stochastic functional differential equations with infinite delay can be studied; At length, the theorem of the local solution about neutral stochastic functional differential equations with infinite delay only under the local Lipschitz condition and the contractive condition can be established.

首先，在一致Lipschitz条件，线性增长条件和压缩性条件下，直接得到了具无限时滞中立型随机泛函微分方程解的存在惟一性，并给出了解的矩估计，近似解与精确解之间的误差估计；将一致Lipschitz条件替换为局部Lipschitz条件，也得到了具无限时滞中立型随机泛函微分方程解的存在惟—性，同时，也给出了在整个区间0，+∞上具无限时滞中立型随机泛函微分方程解的存在惟一性定理；其次，也讨论了具无限时滞中立型随机泛函微分方程解的L~p指数估计；最后，在局部Lipschitz条件和压缩性条件下，建立了具无限时滞中立型随机泛函微分方程局部解的存在惟一性定理。

Results There was a linear trend between logarithmic X and Y, the equation of logarithmic curve was able to be fitted, There was a linear trend between logarithmic Y and X, the equation of exponential curve was able to be fitted, There was a linear trend between logarithmic X and logarithmic Y, the equation of power curve can be fitted. There is a parabola pattern between X and Y, the equation of parabola was able to be fitted.

结果 X取自然对数与Y作散点图有直线趋势，拟合对数曲线方程；Y取自然对数与X作散点图有直线趋势，拟合指数曲线方程；X取自然对数与Y取自然对数作散点图有直线趋势，拟合幂函数曲线方程；原始数据X和Y成抛物线关系，拟合抛物线方程。

In this project,we primarily investigated the growth of solutions of some types of differential equations,and the hyper order,the exponents of convergence of zeros and fixed points of solutions with infinite order, especially, expononts of convergence of fixed points of first, second order derivatives and differential polynomials of solutions.

中文摘要：在本项目中，重点研究了几种类型的微分方程解的增长性，及无穷级解的超级，零点收敛指数，不动点收敛指数，特别是解的一阶，二阶导数及微分多项式的不动点收敛指数。

On the basis of comprehensive analysis of environmental factors that influenced the growth of Robinia pseudoacacia ,seven factors were picked out and used for site index,equation construction by using ...

在综合分析影响刺槐生长发育的环境因子基础上，选择了7个立地因子，运用数量化理论Ⅰ方法，建立与立地指数的回归模型，经减少项目法筛选出包含5个因子的立地指数最佳预估方程，编制了数量立地指数得分表。

Firstly, we give out a reduction way for quasilinear generalized system A〓=G , and the concept of the index κ geometrically nonsingularity, where A is singular and of smooth kernal space. By using the canonical projection mappings onto the space of ker A , a class singular pointimpasse point only owned by nonlinear generalized system is also studied and we also prove that the regular index κ quasilinear generaized system A〓=G defined on the region W is equivalent with an ODEs 〓 defined on a submanifold W〓 of the W, so we reduce the problem of quasilinear generalized system to the problem of an ODEs.

首先利用投影函数，给出了拟线性广义系统A〓=G的一种归约方法，提出了指数κ几何非奇异的概念，同时对广义系统特有的一类奇点-寂点进行了研究，证明了正则指数κ的拟线性问题A〓=G等价于在其定义域W中某一个子流形W〓上的正常微分方程〓，从而将拟线性广义系统的问题归结为常微分方程问题。

Topological indexes of A , B , C and D were all obtained from the different combination of topological vertex degree. A QSAR equation for this series of compounds was established based on the multi-linear regression method and a new group of autocorrelation topological indexes. The results showed that the biological activity is linearly correlated with the volume and branching size of the quinclorac derivatives. Finally, new herbicide was designed based on all QSAR results.

针对应用经典结构参数和量子化学参数得出的结果不够理想的问题，对点价自相关拓扑指数进行了研究，建立了一组新型的点价自相关拓扑指数A、B、C、D；首次将该指数用于除草剂氯喹酸酯类化合物的定量构效关系研究中，建立了很好的定量构效关系方程，综合分析所有的QSAR结果设计出了潜在的新型除草剂氯喹酸烯丙酯。

A theoretical formula is proposed for the refractive index increment correction of SEC chromatogram of polymer, which involves the molecular formula weights and the ratio of dn/ dc of the end group and the structural repeating unit. The refractive index increment ratio could be evaluated a priori by Lorenz-Lorentz or Gladstone-Dale equations.

提出了一个对高分子的尺寸排除色谱谱图，作折光指数增量改正的理论方程，其中包含端基与结构重复单元的分子量以及两者折光指数增量的比值，此比值可事先用Lorenz-Lorentz或Gladstone-Dale方程计算得到。

A theoretical formula is proposed for the refractive index increment correction ofSEC chromatogram of polymer,which involves the molecular formula weights and the ra-tio of dn/dc of the end group and the structural repeating unit.The refractive index in-crement ratio could be evaluated a priori by Lorenz-Lorentz or Gladstone-Dale equa-tions.

提出了一个对高分子的体积排除色谱谱图作折光指数增量改正的理论方程，其中包含了结构重复单元的分子量以及两者折光指数增量的比值，此比值可事先用Lorenz—Lorentz和Gladstone—Dale方程计算得到。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。