查询词典 exponential

In Chapter 4, the existence and global exponential stability of the periodic solution for delayed MAM networks are discussed.

第四章研究了变时滞与分布时滞多向联想记忆神经网络模型周期解的存在性及全局指数稳定性。

In Chapter 5, the existence and global exponential stability of the almost periodic solution for delayed MAM networks are discussed.

第五章研究了变时滞与分布时滞多向联想记忆神经网络模型概周期解的存在性及全局指数稳定性。

As applications of our results,in section 3.3,we investigate the existence of periodic solutions and golbal exponential stability of some classes of impulsive cellular neural networks with time delays.

第四章首先使用Krasnoselskill锥不动点定理研究了一类一阶奇异脉冲泛函微分方程的周期边值问题，得到了这类奇异边值问题正解存在性的充分条件，我们的结果允许右端函数f中关于u是奇异的。

Since the conception of tribal, regional and national cultural competitions initiated in the early 1970's, Māori have witnessed an exponential number of Māori participating in Kapa Haka and/or Māori performing arts.

自上世纪70年代发起了在各部落、地区、国家间开始的文化比赛，毛利人目睹了大量族人参与表演的卡帕哈卡舞或毛利表演艺术。

The reflective law of color fluorescent ink half tone is generalized by utilizing the idea that the reflected light by fluorescent print is divided into two parts: primary streams which consist of originally incident light and fluorescent streams which are created by absorption of the primary stream. And an exponential matrix modelizing the layer of fluorescent ink is utilized to compute the energy of fluorescence.

把荧光半色调印刷品反射出来的光分成两个独立的部分，即由最初入射光组成的主光流和由于吸收了主光流而产生的荧光流；并且采用了一个指数矩阵来描述墨层产生的荧光光强，从而得出了荧光半色调图像色彩的光反射规律。

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。

The study shows that the pressure transient curve of fractured wells in closed circular formation can be divided into six different flow regimes. In condition of the same fracture opening width and fracture length, compared to rectangular fracture, the pressure drop with tapered fracture is bigger, and the dimensionless pressure and pressure derivative curves are higher. In condition of the same fracture opening permeability, compared to linear declining and constant conductivity fractures, the pressure drop with exponential declining conductivity fracture is the biggest, and the dimensionless pressure and pressure derivative curves are the highest.

研究结果表明：圆形封闭地层压裂井的压力动态曲线可以划分为6个流动阶段；在相同裂缝开口宽度和相同裂缝长度的条件下，与矩形裂缝相比，楔形裂缝压力消耗大，表现为无因次压力及压力导数曲线越高；在相同裂缝开口渗透率的条件下，与导流能力呈线性降低的裂缝以及常导流能力裂缝相比，导流能力呈幂指数降低的裂缝压力消耗最大，表现为无因次压力及压力导数曲线最高。

In this paper we discuss the tests for homogeneity of variances and correlation coefficients in longitudinal data model with exponential correlation covariance structure and obtain several score test statistics. The glucose data is used to illustrate our results.

本文针对具有指数相关协方差结构的纵向数据模型，研究了方差齐性和相关系数齐性的检验，得到了检验的score统计量，并对葡萄糖数据进行了分析。

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。

The following conclusions have been made in this paper.(1) Based on CO_2 flux data of eddy covariance, variation characteristics of gross primary productivity in four flux observation stations were studied, which are an alpine meadow, an alpine shrub meadow, a swamp alpine meadow and a steppe alpine meadow at Dongxiong. The results show that photosynthetic capacity of the alpine meadow is the highest, and the annual total GPP is 652.2g C/m~2. Daily-differencing approach is used to analyze the random error of CO_2 fluxes measurements. The results show that the distribution of random error follows more closely follows a double-exponential, rather than a normal distribution, capturing the high peak and thick tail, and the random error varies with environment variables, which violates the assumptions for the ordinary least squares fitting with normality and homoscedasticity, consequently, we introduce maximum likelihood method for parameter optimization.

本文主要在以下几个方面开展工作并获得了一些认知和结论：(1)通过分析样带区域内高寒草甸、高寒灌丛、沼泽化湿地和草原化高寒草甸四个通量观测站点草地生态系统总初级生产力变化特征，研究结果表明HBBT矮嵩草草甸生态系统植被光合作用能力较强，年GPP总量为652.2 gC/m~2，明显高于其他三种生态系统；通过利用"单塔日变化法"获得四站点通量观测数据随机误差，结果表明通量观测随机误差概率分布呈现尖峰厚尾的特征，与正态分布相比，更服从双边指数分布，进一步分析表明通量观测随机误差随环境变量(风速、温度和光合有效辐射)的变化而变化，这违背了普通最小二乘法进行生态过程模型参数优化正态分布且误差同质的假设，因此本研究中引入最大似然法进行生态过程模型参数优化。

Now he worked in ajoint venture.

现在他在一家合资企业工作。

More troops in Afghanistan won't change any of the foregoing.

更多的在阿富汗的军队也不会改变之前的状况。