幂指数

The index of convergence for Boolean matrix A is the same as the index of convergence for the associated digraph D of A.

本论文对布尔矩阵和可约布尔矩阵的幂敛指数的上确界和指数集两个方面中的一系列问题进行了研究。

Based on this analysis, a new method for evaluating the bluntness magnitude of a Berkovich indenter was proposed. This method was examined by the experimental results of indention loading curves for pure nickel and aluminum alloy 8009, and good agreement was obtained. For thin metal films deposited on hard substrate, a method is established for determining the yield strength and hardening index of the film from nanoindentation loading curve.

通过对理想与钝化Berkovich压头以及球形压头纳米压入软膜/硬基材料加载过程的数值研究，给出了两种压头纳米压入加载曲线的幂函数拟合指数及最大压入载荷同膜、基材料基本力学性能间的函数关系，并分别就Berkovich压头与球形压头建立了由纳米压入加载曲线确定沉积在陶瓷基体上金属薄膜屈服强度与硬化指数的方法。

The results show that the SI value of MAP is the logarithmic function of the mass concentration of P, of ammonium N and of Mg, respectively, and increases with the increase of the mass concentration of each element, The SI value of MAP is a polynomial function of the solution pH value, and the optimum pH value for the crystallization of MAP is 9.0 and increases slightly with the increase of N/P. Moreover, the SI value of MAP is a power law function of the solution ionic strength but decreases with its increase.

计算结果表明，磷酸铵镁的饱和度指数与氮、磷、镁的质量浓度分别呈对数函数关系，并随任何一个因子的增大而增大；与溶液pH值呈多项式函数关系，结晶反应的最佳pH值为9.0，并随溶液中氨氮与磷摩尔比的增大而略升；此外，磷酸铵镁的饱和度指数与溶液离子强度呈幂函数关系，随离子强度的增大而减小。

Spatial distribution pattern of larvae of Aleurocanthus spiniferus in citus garden was studied by means of some distribution parameters such as mean crowding, David and Moor's clustering index, index of patchiness, proliferation index, the distribution of negative binomial, Iwao's patchiness, the and Taylor's law. The results showed that the spatial distribution pattern of larvae under all densities appeared to be aggregation distribution, which is characterized by individual attraction and predominant individual group such as cored distribution pattern.

通过运用平均拥挤度m、 David和Moor的丛生指数I、聚块性指数mm、扩散指数C、负二项分布K值等多种聚集度指标和Iwao的m-m回归分析法、Taylor幂法则，研究了沙糖桔园柑桔黑刺粉虱若虫的空间分布格局，结果表明该虫在所有密度下均呈聚集分布，个体间相互吸引，分布的基本成分是个体群。

127 Chapter 1 The History and Future of Computers 3.1.2 Positional Notation The exponential powers of the positions are critical for understanding numbers in other numbering systems.

位的指数幂在理解其他计数制中的数时是个关键。基数小数位的指数幂在理解其他计数制中的数时是个关键。

8 Chapter 3 Number Systems and Boolean Algebra 3.1.2 Positional Notation The exponential powers of the positions are critical for understanding numbers in other numbering systems.

位的指数幂在理解其他计数制中的数时是个关键。基数小数位的指数幂在理解其他计数制中的数时是个关键。

The classical logistic equation is generalized to a new model with power exponent to the rate of growth of the population.

本作品将经典的逻辑斯蒂人口增长模型改进为具有幂律型增长因子的更一般形式，使其能够更加适用于现实中复杂的人口增长问题，并选用相应适用的幂律指数数值进行了对我国大陆，部分省区、直辖市及县区的人口分布规律的实证。

Results of analysis show that Generalized Paris Law can consider the complex crack propagation in the material of the pavement structure. The fatigue life of the pavement increases with increasing thickness of surface layer in a power function. Use of a thicker surface layer may extend the service life of the asphalt pavement. The fatigue life increases with decreasing modulus of surface layer in a power function with a negative exponent. However, since reduced modulus would scarify the structural strength and might cause rutting-related distress, caution should be taken when using low modulus materials for improving fatigue performance of asphalt pavements. The fatigue life increases with increasing modulus of base material in a power function. However, the fatigue life can not infinitely increases with increasing modulus of the base.

计算与分析表明：广义Paris公式可以考虑沥青路面结构内材料复杂的裂缝扩展：沥青面层的疲劳寿命随着面层厚度的增加以幂函数的形式增加，适当增加沥青面层厚度可以提高路面的使用寿命；沥青面层的疲劳寿命随着面层材料模量的降低以负指数的幂函数形式增加；由于材料模量的降低将牺牲路面的整体强度并可能引起路面车辙类损坏，以此提高疲劳寿命的方法应慎重对待；沥青面层的疲劳寿命随着基层材料模量的增加呈幂函数的形式增加，但由疲劳方程可以看出，寿命并不是随基层材料模量的增加而无限的增加，疲劳曲线在经过一个上升段后，逐渐趋于一个常数值，这说明，这时基层模量对寿命已不作关键性贡献；随着底基层厚度的增加，面层的疲劳寿命近似地呈线性函数增加，但效果并不很明显。

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。

The influences of volumetric coefficient, pressure coefficient, temperature coefficient, and leakage coefficient on compressor volumetric efficiency were analyzed.

容积系数主要与压缩机的结构尺寸和吸、排气压力比有关，压力比的变化对容积系数构成以多变膨胀指数为幂的指数影响；转速变化对压力系数构成二次影响；温度系数和泄漏系数同时受到与压力比和转速的影响。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。