得知激光场是以先平方律再指数律进化的。
It is pointed out that the radiation field grows first quadratically and then exponentially with the distance.
多个典型滑坡实例分析表明上述指数律的广泛适用性与可应用性。
The two laws have wide suitability and applicability by analyzing a few typical examples of landslides and avalanches.
本文论证了非负光滑离散函数累加生成后具有近似的指数规律，即灰指数律。
It is shown that the grey exponential law can be obtained by means of accumulative generation for non-negative smooth discrete function.
所建立指数律的状态观测器，实现了以较少传感器估计系统弹性振动模态的目的。
An exponential observer based on fewer sensors is constructed so that elastic modes of the systems can be available at all instants.
采用两层涡粘性模型和速度剖面的指数律导出机械能方程的耗散积分解析表示式。
An analytical expression of dissipation integral for kinetic energy integral equation is derived by two-layer eddy viscosity turbulence model and the power law of the velocity profile.
模型将东亚大陆限定在一梯形边界框架之中，大陆岩石层被视为由幂指数律控制的薄层，它上伏在粘滞性较低的软流层之上蠕变流动。
In this model the EastAsia continent is limited in a trapezoid geological frame and the continental lithosphere is regard as a continuum thin plate with a power law rheology.
文中研究了灰指数律的性质，齐次与非齐次指数律和原点分布、正分布、负分布的指数律，获得了有关的定理为灰色预测建模的优化信息处理，提供了依据与基础。
By defining the distribution of the origin and the positive and negative distribution, theorems are obtained that make it possible to optimize data processing for grey forecasting modelling.
并证明了该最优输出反馈控制律可使网络控制系统均方指数稳定。
The paper proves that optimal controllers can stabilize the exponentially mean square of networked control systems.
研究发现在群体水平上，间隔时间分布可以用幂律函数近似刻画，并且，其幂指数和对应人群观看电影的活跃程度之间存在单调的关系。
A monotonous relation between the activity and power-law exponent in the group level is found, and in the individual level, we observe heavy-tailed distribution for.
在此基础上设计满足指数趋近律的模糊滑模控制器。
Then the fuzzy sliding-mode controller with exponential approach law is designed.
其次，在导引段，以脉冲控制策略为前提，分别设计了指数滑移导引律和能量最优转移轨道。
Secondly, the exponential slippage guidance method and optimal energy transfer orbit are designed respectively in the homing phase.
矿床的吨品位关系对幂律分布并不能很好地拟合，而是服从指数分布。
The relation of tonnage to grade in the deposit is subject to exponential function, rather than power function.
结果表明：在一定的实验条件下，聚合物溶液的粘度随着剪切速率的增加而减小，其变化符合幂律指数规律。
The result indicates that at certain experimental conditions, the viscosity of polymer solution will decrease with the increase of shear rate according to the rule of power law exponent.
将离散指数趋近律与离散变速趋近律结合为平滑切换的组合趋近律并以仿真看其控制效果；
Discrete index asymptotic law and discrete variable speed asymptotic law are combined to form the smooth switching asymptotic law, and the theoretic analysis is validated by simulation.
得到了幂律指数介于2到3之间可调的无标度网络模型，并解析地给出了幂律指数随增长率变化的函数关系。
This network shows scale-free property when the growing rater is not large, and its power-law exponent is tunable from 2 to 3 thr.
本文还分析了指数趋近律的参数和滑模控制器的参数变化对系统性能的影响。
This article also analyzes the parameters of exponential approach law and sliding mode controller parameters on system performance.
切换面的设计采用最优化方法而得出，控制律的设计采用指数趋近律方法。
The switching surface was obtained by using the optimal method and the controller was designed by using the method of exponential approach law.
分布的尾部特征分析在许多领域都非常重要，估计和分辨尾部服从幂律特征还是指数特征非常重要。
It is important to analyze the tail behavior of distributions in many areas, and there is a controversy about distinctions between exponential-type and power-type tails.
通过速率方程证明了该网络是节点度分布符合幂律分布的无标度网络，其幂指数为- 3，且平均连接度为给定值。
It is proved that the degree distribution of the network obeys power-law form with the exponent-3, and the mean connected degree is given value.
指数滑移导引律的基本思想是在逼近过程中，保证追踪星的当前位置和终端位置之间的矢量方向不变，而逼近速度逐渐减小；
The spirit of the exponential slippage guidance method is keeping the direction from temporary position to the aiming point while decreasing the approach speed.
本文对减执行器水面舰船系统提出一种具有指数收敛率的光滑时变反馈控制律 ，使得闭环系统被全局镇定 。
Moreover, the control laws using smooth time varying feedback do not stabilize the system at exponential convergence rate.
通过状态和输入反馈变换将系统模型转换为二阶链式标准型，并对标准型给出一种时变光滑指数镇定控制律。
The state and input feedback transformations were constructed explicitly to convert the second-order nonholonomic system to second-order canonical chained form.
所谓不加权，是指对计算指数所包括的全部数值的重要性一律平等看待。
Unweighted means that all the values considered in calculating the index are of equal importance.
揭示出幂律特性在人类社会行为中的普适性，指出幂指数的不同和名人所处的社会环境有关。
It is revealed that power law property is universal in human social behavior. Meanwhile, parameters differ from each other due to the various social environments those celebrities lived in.
揭示出幂律特性在人类社会行为中的普适性，指出幂指数的不同和名人所处的社会环境有关。
It is revealed that power law property is universal in human social behavior. Meanwhile, parameters differ from each other due to the various social environments those celebrities lived in.
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