指数律

In the paper, the criterion of the white exponential law of a discrete function is given after discussing the necessary and sufficient conditions of a continuous function being an exponential function.

研究了函数为指数函数的充要条件，并给出了白指数律的判别准则。

The new method overcomes the defect that the old method has not possessed the white exponential law coincidence property.

通过分析 GM( 1 ，1 )建模机理，找出了 GM( 1 ，1 )模型不具有白指数律重合性的原因，并在此基础上，提出了建立 GM( 1 ，1 )模型的新方法。

The smooth condition for discrete series is studied, and some mistakes about the white exponential law is pointed out. The author proposes the modified condition of white exponential law which makes the data to apply the GM model.

研究了灰色系统理论中的关于离散数列的"光滑性条件"，指出其原有的"白指数律条件"的局限性，提出了新的修正型白指数律的条件，从而为数据应用灰色系统模型提供了检验方法。

By applying the proposed control law to discrete-time variable structure control systems, the stability of origin and steady of systems are better than the exponential rate reaching law and proportional-constant-variable rate reaching law.

应用该趋近设计变结构控制系统，其原点的稳定性和系统的平稳性都优於指数趋近律和比例－等速－变速趋近律。

A new discrete reaching law is presented to improve the reaching process of discrete exponential reaching law.The discrete-time variable structure control system designed by this reaching law can not only weaken the chattering and control the system state approach to zero diminishingly,but also keep the basic property of quasi-sliding mode which can cross the switching surface step by step.This method improves the reaching process and enhances the control quality of the control system.

为了改善离散指数趋近律的趋近过程，提出了一种新的趋近律，利用该趋近律设计的变结构控制器，不仅能够大幅度削弱抖振，使系统运动最终趋于原点不存在稳态振荡，而且能使系统的准滑动模态保持步步穿越切换面的基本属性，有效地改善了趋近过程，提高了控制品质。

The results showed that the pressure and pressure derivative of non-newtonian fluid is higher than newtonian one;The power index is more smaller,the pressure and pressure derivative is more higher;The effect of skin factor on transient was different from that of power index;The storativity ratio and inter-porosity flow factor is just same as the newtonian fluid,and the effect of outer-boundary on transient pressure is different from that of newtonian fluid.

结果表明，非牛顿流体的压力及压力导数都明显高于牛顿流体；幂律流指数越小则压力和压力导数越大；表皮系数和非牛顿流体幂律流指数对压力响应的影响有着明显的不同；而弹性储容比和窜流系数的影响和普通三重介质相同，只是由于非牛顿流体的影响其"凹陷"的位置升高；外边界的影响也和牛顿流体的情况明显不同。

The new method has monotone consistency, convex consistency, linear transformation consistency, gradually approaching white exponential law coincidence property and linear convergence rate.

结果表明，这一方法不仅保持了原方法的升凹一致性、线性变换一致性，而且具有渐近白指数律重合性和线性收敛速度。

Mostly have the round skulls, among them theircranial index are mostly hyperbrachycephal and ultrabrachycephaltype. Generally, the cranial length-height indexes of the head arehypsicephalic type, and the majority of cranial breadth-height index on 29head are apeinocrany type.

耶律羽之组男性颅骨一般具有短而宽的颅形，颅长宽指数多为特圆颅型和超圆颅型，颅长高指数显示多为高颅型，颅宽高指数多为阔颅型的颅部特征。

The Dow, down. The SP 500, down. And the NASDAQ, down. What a record for 2008! But it's not as bad as the Detroit Lions' unprecedented 0-16 runless season.

道琼斯指数下跌；标准普尔500指数下跌；奈斯达克指数下跌。2008年可真是创下有史以来的最高纪录--但是总还不像底特律雄狮队前所未有的0：16惨败那样糟糕。

First, we consider nonholonomic chained systems with modeling error, in this section,based on back-stepping , using the so-called adding a integrator , state-scaling technique , we design discontinuous feedback law,such that the trival solution of the closed-loop systems global strong stable; Second,we consider high-order nonholonomic chained systems with modeling errors and external disturbances, in this section,using input/state-scaling and integrator backstepping methods , we design discontinuous feedback law and give out the switching strategy, such that the closed-loop systems global /C-exponential stable; Finally, we consider a class of more general power chained form systems with particular drift-terms, in this section , using Lyapunov method, we design time-varying feedback law , such that the closed -loop systems p—exponential stable.

第一部分考虑的模型为带有模型误差的高阶非完整链系统，我们运用加幂积分器、State-scaling技巧以及基于Back-stepping方法构造出不连续反馈律，从而使得所讨论系统的闭环系统的平凡解全局强稳定；第二部分考虑的模型为带有模型误差的不确定高阶非完整链系统，这一部分我们运用input／state scaling和integrator backstepping方法构造出不连续反馈律，并给出切换策略，使得所对应的闭环系统全局κ-指数稳定；第三部分考虑的系统是形式更为一般的且带有特殊形式漂移项的幂链系统，利用Lyapunov函数方法，设计出时变反馈律，从而使得相应的闭环系统ρ-指数稳定。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。