查询词典 exponential function

Theobserved strain is 10~2 times as local point strain at the same observed stress.This indicates that macroscopical symmetrical rock is quasi-brittle materialwith microcosmic heterogeneousness and its macroscopical mechanicalbehavior is the results of reciprocity and magnification between microcosmiccharacteristic, not simple sum.(4) The degree of irregularity of strain increases with the number of cycle.But degree of irregularity of transverse strain fluctuates larger at the samecycle. Moreover degree of irregularity of transverse strain is larger than that ofaxial strain. This shows that deformation and failure of rock is process ofevolvement of small crack. Small crack evolves from even and out-of-orderstatus to heterogeneous and ordinal status.(5) Ultrasonic speed decreases with the number of cycle. The decreasecourse is such: Firstly, ultrasonic speed fluctuates in a steady scope in somecycles; And then ultrasonic speed quickly decreases to a certain more smallvalue; Afterwards in succedent cycles, ultrasonic speed fluctuates about thevalue. That is to say, ultrasonic speed fluctuates and decreases at intervals ofcycles. In deformation process of rock, quantitative change and qualitativechange of its small crack evolvement carry through crosswise.(6) Strength and modulus of rock decrease with exponential function asscale of specimens increases.

同一表观应力下，局部点应变与表观应变相差可达2个数量级，表明宏观上均匀的岩石是具有细观特征的准脆性材料，其宏观力学行为是细观特征相互作用、放大的综合结果，而不是简单的叠加；(4)岩样轴向应变不均匀程度和横向应变不均匀程度随循环次数的增加渐进增大，但是在同一个循环内，横向应变离散系数随应力的变化波动较大，且同一循环级别下，横向应变不均匀程度大于轴向应变不均匀程度，表明岩石内部微裂纹的演化是岩石变形破坏的本质特征，这一演化表现为微裂纹从均匀无序分布逐渐向非均匀有序发展；(5)随循环次数的增加，所有岩样内部超声波速会出现衰减，衰减过程表现为在某几次循环内超声波速在某一相对范围内波动，然后急剧减小到某一较小值，在随后的循环内，超声波速又会保持在这一较小值附近波动，即超声波速表现为波动和急剧减小间隔形式衰减，表明从宏观看来平稳的岩石变形过程，内部结构演化过程(微裂纹发展及其相互作用)却表现为均匀量变和突发质变不断交叉进行的现象；(6)岩石强度和弹性模量随尺度增大呈指数函数规律减小。

AbstractPaper introduces the exponential function and homogeneous balance method for solving nonlinear partial differential of the exact solution, and then comparing the reference solution, and ultimately new exact traveling wave solution.

摘要论文主要介绍指数函数法和齐次平衡法求解非线性偏微分的精确解，然后对比参考文献的解，最终得到新的精确行波解。

In the following, this dissertation does some research works about the other system—HDS with uncertainties of polytope using the existent methods, and proves that the system is exponential stable with respect to its invariant set under some conditions making use of Lyapunov function.

然后，本文针对另一类具体的混合动态系统——具有多面体不确定性的混合动态系统，沿用已有的稳定性分析方法对其模型进行分析，最终借助Lyapunov函数证明了在一定的条件下系统关于其不变集是指数稳定的。

By performing an inverse Laplace transformation of the stretch exponential function a distribution curve of the diffusivity is obtained which is enables the molecular weight distribution to be extracted.The results show that the width of the molecular weight distribution increasing as the average molecular weight decreases during the degradation process.

结果发现，在降解过程中随着聚合物平均分子量的降低，体系中的分子量分布不断变宽，这一结果与GPC实验结果完全吻合，而且从PFG实验中得到的平均分子量变化趋势和随机断裂方式下的Monte Carlo模拟实验结果十分吻合，据此可以认为聚合物的降解是一个随机断裂的过程。

In order to analyze rheological property and establish constitutive model of Q_2 loess, a series of uniaxial creep experiments on different water content are done .The creep test curves and stress-strain isochronism curves are drawed with the result of experiments and conclusions are reached from the curves. The creep performance of Q_2 loess is different under the different stress level. In the different time the stress-strain isochronism curve has obvious inflection point namely yield stress and the yield stress reduces along with the increase of water content, which can be described by exponential function.

为了分析黄土的流变特性和建立相应的本构模型，本文首先根据对不同含水量的Q_2黄土进行的一系列单轴应力条件的室内蠕变试验结果，分析总结了Q_2黄土蠕变特征和应力—应变等时曲线特征，得出Q_2黄土在不同的应力水平下蠕变变形表现形式不同；在不同的时刻应力—应变等时曲线存在有较明显的拐点，拐点所对应的应力即为屈服应力，屈服应力随着含水量的增大而呈指数形式降低；Q_2黄土可近似看成一种线性粘弹塑性体。

Based on the theory of topology and the properties of M-matrix, by constructing vector Liapunov function and applying differential inequalities, the exponential stability of three classes of interconnected large-scale systems with time delays is analyzed.

本文利用M-矩阵理论，应用微分不等式以及拓扑学等有关知识，通过构建向量李雅普诺夫函数，研究了三类时间滞后大系统的指数稳定性以及智能交通系统中车辆纵向跟随控制问题。

Utilizing Multivariate Regression Modeling and Spectral Derivative to establish five function pattern cotton dry matter accumulation modeling based on Ratio Vegetation Index and Normalized Difference Vegetation Index,all correlation coefficient is highly positive(α=1%,n=96),based on RVI modeling has a higher precision than NDVI does,hyperbolic curve fitting,exponential curve fitting and logarithmic curve fitting have further improved analysis against cotton dry matter accumulation.

利用北疆8个棉花主栽品种(其中2个棉花品种设4水平种植密度)的各生育期冠层高光谱数据，经多元统计分析与光谱微分处理，建立了基于比值植被指数和归一化植被指数的5种函数形式的棉花干物质积累估测模型，相关系数均达到了极显著水平(α=1%，n=96)。

The results of simulation show that the backoff algorithm based on logarithmic function is obviously effective in improving the capability of throughput and fairness of Ad Hoc network, reducing network delay and the ratio of packet loss, and the capability of new backoff algorithm is better than that of Binary Exponential Backoff algorithm.

仿真结果表明，基于对数函数的退避算法对提高Ad Hoc网络的吞吐量性能和公平性、降低网络延时有明显的效果，性能优于二进制退避算法。

Based on logarithmic function, a new backoff algorithm was presented by introducing the parameter which could change with the network state, in allusion to the deficiencies of Binary Exponential Backoff algorithm of IEEE 802.11 MAC.

针对IEEE 802.11 MAC协议二进制退避算法存在的缺陷，引入随网络状态变化的参数，提出了一种基于对数函数的新退避算法。

Then the explicit expression of it under exponential claims and the differential equation are obtained.Thus we discuss the effects of credit and debit interests on it through data analysis. Through the research of the mean,the moment generating function and the higher moments of discounted aggregate dividend payments,we discuss the optimal dividend payments problems.

而对于Gerber-Shiu函数的研究，则是通过随机过程及随机微分方程的知识得到它满足的积分-微分方程及边值问题，然后得到了它在指数索赔下的明确表达式以及Erlang(2)索赔下满足的微分方程，并通过数值分析得到贷款利息及存款利息对它的影响。

A backer of an Afghan law that critics say legalizes marital rape has rejected the international outcry as foreign meddling.

饱受批评的一项法律的拥护者说合法化的婚内暴力不会受国际舆论的干涉。

Years ago, a ancient Egyptian fleet went to the Land of punt for seeking a kind of flavor named "myrrh", and aromatic plants which has dense exotic style for the queen Hatshepsut.

3500年前的一个古埃及的舰队到&彭特之地&寻找一种叫没药的香料。