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This paper studies a class of cubic system with planar polynomial.We use the qualitative theory of ordinary differential equations method of analysis, reached the following conclusions of four parts: First, we analyze the quality of all critical points of the system,and draw the conditions of existence of singular integrals for the system , in front based on the analysis, using Pioncare form series method to calculate the focal value of o(0,0). Finally, we also study the behavior of critical points at infinity.

中文摘要:本文研究了一类平面三次多项式系统,我们采用常微分方程的定性理论的分析方法,得出如下四个部分结论:第一部分,分析系统所有奇点的性态,并得出系统存在奇异积分直线的条件;在前面分析的基础上,用Pioncare形式级数法,计算出了系统在奇点o(0,0)的三个焦点量;最后,研究了系统无穷远奇点的性态。

This curriculum primary coverage includes: Function and limit, a circular function derivative and differential, theorem of mean and derivative application, indefinite integral, definite integral, definite integral application, space analytic geometry and vector algebra, function of many variables differential method and application, multiple integral, curvilinear integral and surface integral, infinite series, differential equation.

该课程的主要内容有:函数与极限,一元函数的导数与微分,中值定理与导数的应用,不定积分,定积分,定积分的应用,空间解析几何和向量代数,多元函数微分法及其应用,重积分,曲线积分与曲面积分,无穷级数,微分方程。

The combination coupe/roadster sportscar offers the choice of covered or topless motoring in a high-performance setting with infinite driver controls to custom tailor the car's performance and handling to suit its owner.

结合双门/敞篷跑车提供了选择的范围或裸体汽车在高性能的设置具有无穷司机的控制,定制汽车的性能和处理,以适应其所有者。

Almost defference sets have strong relationship with binary sequences with optimal 3-level autocorrelation, which are of significant applied bachground. We constructed 2 new infinite families of almost difference sets by using cyclotomy; Perfect binary sequences and perfect binary sequences pairs are of significant theoretical value and applied background, they correspond to cycle Hadamard matrices and difference sets pairs respectively.

几乎差集与具有最优3级自相关二元序列密切相关,具有强烈的应用背景,我们借助分圆方法构造了几乎差集的两个新的无穷类;最佳二进序列和最佳二进序列偶有着重要的理论价值和应用背景,它们分别对应着循环Hadamard矩阵和差集偶。

Since the multiple scattering should be considered, the scattering problem of many-cylinders is more complicated than single cylinder. By using scattering matrix method to solve the scattering problem of many-cylinders, first we have to express the incident fieldand scattered field by special function(for example, Bessel function and Hankel function)under cylindrical coordinate, then use the addition theorem of special function to get a linear system of equations to relate the incident field coefficients and scattered field coefficients. The incident and scattered field coefficients for every cylinder can be solved from the linear equations by matching electromagnetic boundary condition pointwisely.

单颗圆柱散射体的散射场解析解很早就被解出,而多个圆柱阵列的散射场问题因为涉及到入射光在圆柱与圆柱间的多重散射,故散射行为较单颗圆柱的散射复杂,因此圆柱阵列的多重散射问题需要利用加法定理来处理;散射矩阵法的主要精神即是先用圆柱座标下的特殊函数对平面波和圆柱散射体的内外域电磁场做无穷级数展开,再藉由特殊函数的加法定理将所有圆柱散射体的展开中心移到同一个展开中心,最后可以得到一组连结整个散射系统的入射电磁场系数及散射电磁场系数的线性方程组,将该组线性方程配合电磁场在散射体边界的连续条件,便可分别求出圆柱阵列中各个圆柱体的内部电磁场与外部散射场,再利用线性叠加原理即可求得整个圆柱系统的全域电磁场分布。

The former is a theoretical foundation of the "probability language" compared with the Daniell Integral; and the later, as will be seen in the following chapter, offered the main methods for Daniell Integral.

并且介绍Daniell积分在定义无穷维空间积分中的应用。第四章我们首先按照Wiener 1923年文章中的方法考察Brown运动的数学描述,说明Daniell积分,特别是Daniell[5]中的方法,在Wiener工作中的重要

In the second chapter, we study an infinite delay differential equation, the system was widely applied in the biology, neural network and some other fields.

第二章是研究一类无穷时滞微分系统,此系统在生物,神经网络等领域中都有广泛应用。

The existence of periodic solutions of a neutral integro-differential equation with infinite delay was studied.

摘要本文考虑具无穷时滞中立型积分微分方程周期解的存在性。

By using the theory of linear evolution systems and Sadovskii's fixed point theorem, chapter3 deals with the existence of mid-solutions,strong solutions for the Cauchy problems of neutralabstract functional differential equations dependent on time with unbounded delay, here theright function in the equations satisfies the Caratheodory conditions.

第三章利用线性发展系统理论和Sadovskii不动点定理研究了具有无穷时滞中立型时变泛函微分方程Cauchy问题mild-解、强解的存在性。其中方程的右端函数满足Caratheodory条件。

The paper gives several theorems for derivate of the function with finite limit at the infinite point and its strict proof.

给出了在无穷远处具有有穷极限的函数的有关导数的几个定理及其严格证明。

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Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势,并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。

This dramatic range, steeper than the Himalayas, is the upturned rim of the eastern edge of Tibet, a plateau that has risen to 5 km in response to the slow but un stoppable collision of India with Asia that began about 55 million years ago and which continues unabated today.

这一引人注目的地域范围,比喜马拉雅山更加陡峭,是处于西藏东部边缘的朝上翻的边框地带。响应启始于约5500万年前的、缓慢的但却不可阻挡的印度与亚洲地壳板块碰撞,高原已上升至五千米,这种碰撞持续至今,毫无衰退。