查询词典 theorem of identity for power series

Chapter 2 deals with some refinements of the central limit theorem for a class of non-uniformly hyperbolic dynamical systems called Young\'s system, such as local central limit theorem and so-called Berry-Esseen theorem giving the rate of convergence in the central limit theorem.

在第二、三章中，我们考虑一类重要的非一致双曲动力系统的统计性质-中心极限定理，及其进一步的精细结果如局部中心极限定理，带有收敛速度的中心极限定理。

On the other hand , illuminated by close relation between harmonic maps and sumanifold theory, we have also researched in-depth about some relative problems in submanifolds theory which include: the estimate of heat kernel and eigenvalue and it geometric application of submanifolds with or without boundary; many kinds of pinching problem of submanifolds which include the rigidity theorem, topological sphere theorem, differential sphere theorem and topological finite theorem.

另外，鉴于调和映照与子流形之间的密切关系，我们还要深入研究子流形几何中与之相关的一些问题，主要包括：带边与不带边子流形的热核与特征值估计及其几何应用；子流形的刚性定理、拓扑球定理、微分球面定理、拓扑有限性定理等各类Pinching问题。

The positive periodic solution of functional differential equation with infinite delay is deeply concentrated these years, some scholars study this subject by means of Lyapunov theorem, Schauder fixed point theorem, and cone extending and compression theorem (from thesis -[5]), and they obtain the existence theorem of positive periodic solution.

近年来，无穷时滞泛函微分方程的周期解问题受到广泛关注，一些学者应用Lyapunov泛函方法，Schauder不动点方法，以及非线性泛函分析中的锥拉伸锥压缩方法(见[1]-[5])，研究了无穷时滞泛函微分方程的周期解的存在性问题。

In addition, by utilizing Jacobi two square numbers theorem and Lagrange four square numbers theorem and some theta function identities, we also prove the known results of number theory: two triangular number theorem, four triangular number theorem, and the number of representations of a positive integer by various quadratic forms in terms of divisor functions

包括Jacobi二平方数定理，Lagrange四平方数定理等，然后利用这些结果结合几个theta函数恒等式，我们获得了把任意一个正整数表示成两个三角数或四个三角数的和以及其他的二次形式的方法数，这些方法数都是用因子函数来表示的。

And guided by Schur theorem, many of the Schur theorem inference arises, formed a complete theoretical system Schur theorem. Schur theorem and put many of its reasoning applied to the unitary matrix and the similarity matrix eigenvalue of proof onto.

在Schur定理的指导下，许多关于Schur定理的推论便产生了，并且形成了一个完整的Schur定理理论体系，把Schur定理和它的许多推论推广到了酉矩阵的相似和矩阵的特征值的证明上来。

The gun was a good time, after sitting a little bigger, a powerful and easy operation, suitable for all kinds of maps environment M16:The gun power, after sitting a little high, and be convenient operation, but more is still poor and m4a1 some ; AK-47:The gun after sitting too large, the most powerful, it is difficult to operate, but to all kinds of maps of the environment is a very good of the gun ; AK－74:Power of the gun, fire is quickly, then take a great improvement of the 74 than 47 more easy to operate FAMAS:The power of a gun, fire, take off after a person closer to the king G36K:The power of a gun, fire is quickly, then sat a small operation is very easy overhand SG552:The gun power, and sat down and large, but the fire, is a good fast screen, sniper rifles AUG:The gun power, after sitting a little fire, and is sure of the higher is the world famous one of the sniper rifle ; AWM:The gun after a powerful, by too big, fast and slow to be very high, who is a widespread use of the sniper rifle ; M700:The gun power larger and smaller, a relatively rapid speed and must have very high, use less M60:The gun power, and sat down and large, the fire, is not high, is a suppressed fire MP5:The gun after power, by a fire made, and must have a high, is a very good lead to a submachine gun ; MP7:The gun after power, and sat down, fire is quickly, he is too poor to cooperate with the team to use

此枪精准高，后坐较小，威力较大，容易操作，适合各种地图环境使用； M16：此枪威力较大，后坐较小，精准较高，方便操作，但是和M4A1比较还是差了点； AK-47：此枪后坐太大，威力更大，难以操作，但是适应各种地图环境是一把十分不错的高杀伤力枪； AK－74：此枪威力较大，射速较快，后坐比较大，改进后的74比47更容易操作； FAMAS：此枪威力较小，射速飞快，后坐较大，人称近距离步枪之王； G36K：此枪威力较小，射速较快，后坐很小，操作非常方便容易上手； SG552：此枪威力较大，后坐也大，但是射速很，是一把不错的快掩护型狙击步枪； AUG：此枪威力较大，后坐较小，射速一般，精准较高，是世界有名的狙击步枪之一； AWM：此枪威力巨大，后坐太大，射速较慢，精准很高，谁一把广泛使用的狙击步枪； M700：此枪威力较大，后作较小，射速较快，精准很高，一般使用人少； M60：此枪威力较大，后坐也大，射速一般，精准不高，是一把压制火力的重机枪 MP5：此枪威力一般，后坐较小，射速飞快，精准较高，是一把非常不错的冲锋与反冲锋枪； MP7：此枪威力一般，后坐较大，射速极快，精准太差，主要适合团队配合才可以使用

This Corporation relies on the basis of production for festival decorative lamp , LED lighting product over past ten years , currently producing and gradually perfecting following LED serial product , named as rainbow tube , fence-guard profile lamp , advertisement screen with full-color intelligent digital lamp , T5 lamp , colorful zone wall , pixel display screen , big-power spot light , LED table lamp , big-power projection lamp , spot light-source series , wall-filled lamp series , crystal transprarent lamp , LED epoxy pixel lamp strip , ceiling curtain wall lamp , lamp cup , bulb , crystal honeycomb bulb , crystal lamp cluster series , underwater lamp , underground lamp , ceramic tile lamp , illuminant module with advertisement sign , rainbow lamp picture modeling light series , staring lamp , net-shape lamp , curtain lamp and Christmas lamp cluster ; along with LED light-explosive lamp , flash-frequent bulb series and fuse light strip ; this Corporation also produces LED full-color display control system , LED solar lawn lamp , LED serial lighting component and optical fiber and lighting resource generator series .

公司在秉承10多年的生产节日装饰灯、LED灯饰产品的基础上，目前正量产及逐步完善以下LED系列产品；全彩数码彩虹管、护栏轮廓灯管、全彩智能数码管广告屏、T5管、动感彩屏墙、像素显示屏、大功率射灯、LED台灯、大功率投光灯、点光源系列、洗墙灯系列、水晶透镜轮廓灯、LED环氧像素灯条、天花幕墙灯、灯杯、灯泡、水晶蜂窝泡、水晶灯串系列、水底灯、埋地灯、地砖灯、广告标志发光模块、彩虹管图案造型灯系列、星星灯、网灯、窗帘灯及圣诞灯串；还有LED曝光灯、频闪灯泡系列，保险丝灯带；公司还生产LED全彩显示屏控制系统、LED太阳能草坪灯、LED系列灯饰配件以及光纤与光源发生器系列。

Companies in our 10 years of production of holiday lights, LED Lighting Products, based on volume production and is now gradually improve the following LED products; full-color digital rainbow pipe, guardrail lamp profile, full-color digital tube smart screen ads, T5 tubes, vibrant wall color, pixel display, high power lighting, LED lamp, high power cast light, point light source series, wash the wall lamp, crystal lamp lens contours, LED pixel light epoxy, the ceilings and wall lights, Cup lamp, bulbs, Crystal cellular foam, crystal lamp string series, underwater lights, buried lights, brick lights, LED advertising signs module, Rainbow Designs tube lamp series, star lights, net lights, curtain lights and Christmas light string; also Exposure has LED lights, strobe light bulb series, fuse lamp belt; the company also produces full-color LED display control system, LED solar lawn lamp, LED series lighting and accessories, as well as fiber-optic light source generator series.

公司在秉承10多年的生产节日装饰灯、LED灯饰产品的基础上，目前正量产及逐步完善以下LED系列产品；全彩数码彩虹管、护栏轮廓灯管、全彩智能数码管广告屏、T5管、动感彩屏墙、像素显示屏、大功率射灯、LED台灯、大功率投光灯、点光源系列、洗墙灯系列、水晶透镜轮廓灯、LED环氧像素灯条、天花幕墙灯、灯杯、灯泡、水晶蜂窝泡、水晶灯串系列、水底灯、埋地灯、地砖灯、广告标志发光模块、彩虹管图案造型灯系列、星星灯、网灯、窗帘灯及圣诞灯串；还有LED曝光灯、频闪灯泡系列，保险丝灯带；公司还生产LED全彩显示屏控制系统、LED太阳能草坪灯、LED系列灯饰配件以及光纤与光源发生器系列。

The company is currently in volume production and the gradual perfection of the following LED products; full-color digital rainbow pipe, guardrail lamp profile, full-color digital tube smart screen ads, T5 tube, vibrant wall color, pixel screen, high-power spotlights, LED table lamp, high power cast light, point light source series, wash the wall lamp, crystal lamp lens contours, LED pixel light epoxy, the ceilings and wall lights, lamp cups, light bulbs, crystal cellular foam, crystal lamp string series, underwater lights, Buried lights, brick lights, LED advertising signs module, Rainbow Designs tube lamp series, star lights, net lights, curtain lights and Christmas light string; also LED Exposure lights, strobe light bulb series, fuse lamp belt; company also manufactures full color LED display control system, LED solar lawn lamp, LED series lighting and accessories, as well as fiber-optic light source generator series.

公司目前正量产及逐步完善以下LED系列产品；全彩数码彩虹管、护栏轮廓灯管、全彩智能数码管广告屏、T5管、动感彩屏墙、像素显示屏、大功率射灯、LED台灯、大功率投光灯、点光源系列、洗墙灯系列、水晶透镜轮廓灯、LED环氧像素灯条、天花幕墙灯、灯杯、灯泡、水晶蜂窝泡、水晶灯串系列、水底灯、埋地灯、地砖灯、广告标志发光模块、彩虹管图案造型灯系列、星星灯、网灯、窗帘灯及圣诞灯串；还有LED曝光灯、频闪灯泡系列，保险丝灯带；公司还生产LED全彩显示屏控制系统、LED太阳能草坪灯、LED系列灯饰配件以及光纤与光源发生器系列。

Moreover, by the combinatorial proof or combinatorial interpretation, the identity is equipped with certain count meaning. The most general way in the combinatorial proofs is to count two sides of the identity by two different methods. Generaly, through building a bijection from one set to another one, the number of the two sets respectively represents the two sides of the identity. Because of the 1-1 property of bijection, the identity is proved.

此外，恒等式的组合证明或组合解释赋予了恒等式一定的计数意义，组合证明最常用的方法是分别用两种不同的方法对恒等式的两端进行计数，一般通过构造两个集合之间的双射，这两个集合的个数分别表示恒等式的两端，从而根据双射的一一对应性证明恒等式。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。