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This brush 10 has a curved core 11 to which the bristles are connected, and presents a section varying over at least a part of length of the brush in the geometrically non-similar form. The above section at least at one point of the core is asymmetric in relation to a plane perpendicular to the plane of curvature of the core in the above point.

本发明涉及一种刷子10，具有连接有刷毛的弯曲轴芯11，在刷子长度的至少一部分上具有变化的截面，且该变化方式在几何上是不相似的，位于轴芯的至少一点处的所述截面相对于垂直于所述点处轴芯的曲面的平面是不对称的。

In the term of unloading and opposite side loading, let the stress-strain curve have the same form of skeleton curve, the curve uses the last unloading point as its starting point, and uses soil's ultimate stress level as its asymptote. Then the hysteretic curve is constructed.

在卸载和反向加载时，采用与骨架曲线相同的函数形式，并以前一次卸载开始点作为起点，以土体的极限应力水平作为渐近线，构造出土体动力本构模型的滞回曲线。

We introduce the general sigma point selection framework, and give two kinds of efficient methods: a reducing the computing complexity by decreasing the number of the sigma point; b scaling the sigma points to influence the effects of the higher order moments, then improve the accuracy of the UT; c Convergence analysis of the UKF, when used as an observer for nonlinear deterministic discrete-time system, is presented. Based on the UKF that captures the posterior mean and covariance accurately to the second or third order term (in terms of Taylor series expansion) for any form of nonlinearity, sufficient conditions to ensure local asymptotic convergence are established.

论文介绍了sigma点的一般选取规则，并给出了两种有效的方法：a通过减少sigma点集合的元素的数目来减少计算复杂度，b通过增加参数来逼近泰勒展开的高阶项，从而提高UT变换的精度；c论文研究了UKF算法应用于非线性确定性离散时间系统时的收敛性问题。

By the method in this paper, for deciding the global asymptotic stability of the equilibrium point, it is not necessary to verify whether the equilibrium point is unique and to construct Liyapunov functions.

由于非线性电路的复杂性，目前适合于该问题的方法，主要是LIYAPUNOV直接[13] 。应用LIYAPUNOV直接法分析电路的平衡点全局渐进稳定性，有两个基本的问题难以解决。

By the method in this paper,for deciding the global asymptotic stability of the equilibrium point,it is not necessary to verify whether the equilibrium point is unique and to construct Liyapunov functions.

与目前该问题所采用的LIYAPUNOV直接法相比，该方法具有无须判断平衡点的唯一性，判别方程直接明了等优点，电路维数越大时，本文的方法越有其优势。

Based on the concepts of asymptotic center point and the asymptotic radius, this paper discusses the existence and the weak convergence of the fixed point in the multi_valued asymptotically nonexpansive mappings.

本文借助于渐近中点、渐近半径的概念，得到一致凸Banach空间中非空有界闭凸子集上的连续集值渐近非扩张映射有不动点。

It is proved that, when the value of critical threshold less than 1, the disease free equilibrium point is globally asymptotically stable. Further more, Bursaphelenchtis Xylophilus is used to construct the Lyapunov function, and the stability theory of Lyapunov function is used to prove that the equilibrium point is Global asymptotic stable. It explains that the Bursaphelenchus Xylophilus wiil eventually disappear.

证明了当临界阈值小于1时，无病平衡点是局部渐近稳定的，进一步利用巴尔巴欣公式构造Lyapunov函数，运用Lyapunov稳定性理论证明了该平衡点的全局渐近稳定性，说明松材线虫病会最终消失；当临界阈值大于1时，病虫害平衡点是局部渐近稳定的。

Opening with减仓social security fund is more likely that an industry at a low ebb with the high point, and we can not say that the city market at low or high point.

与减仓的社会保障基金开放更有可能的是在同一个高点低潮业，但我们不能说，在高或低一点的城市市场。

At the longest point from north to south and at the widest point from east to west.

即从南到北的最长之处与从东到西的最宽之处

All need to pause at some point in life, andsee what is best for us. There is no point in

我们都需要在生命的某些时刻停下来，给我们自己一点时间看看周围的环境，看看什么对你是最好的。

In fact, after 15-years on the market it still stands out as the only tried and trusted means of allowing distillers and other drinks producers to safely and firmly affix glasses to bottles with a strong promotional message.

事实上，经过15 -几年在市场上仍然突出作为唯一可靠和行之有效让酿酒和饮料生产等安全，坚决追究具有强大的促销信息眼镜瓶的手段。

Data were analyzed as part of the Canadian Headache Outpatient Registry and Database Project.

被分析的数据是加拿大头痛门诊注册数据库项目的一部分。