查询词典 exponential function

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。

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。

With the explosive development of internet and the increasing hugeness of World Wide Web, the complicated degree of web resources is growing by the exponential order quantity, causing the people to feel helpless when they search the information.

随着Internet的飞速发展和万维网的日益庞大，Web资源的复杂程度更是以指数级的数量增长，导致人们在查找所需信息时不知所措。

The case of exponential utilities is considered indetail to derive an explicit solution..

我们的问题是个体如何决定最优的保险、消费／投资策略，以实现一生消费和终点财富所带来的总期望效用最大化，我们还在指数效用函数情况下获得显示解。

Usually written in a number of 10 exponential form, the index number is the number of orders of magnitude.

通常把一个数量写成10的幂指数形式时，指数的数目就是该数量的数量级。

The results suggested that the exponential variation of volumetric charge density with the bulk electrolyte concentration is more favorable to describe the membrane potential and to evaluate the induced fixed charge density.

结果表明，当体积电荷密度随浓度呈指数变化时，拟合的膜电位与实验结果更接近，得到的固定电荷密度更精确。

A repairable unit assuming both operating time and repair time being exponential is considered, the lower confidence limits of A with Chebyshev inequation and generalized p-values are studied here.

考虑一个可修单元，其工作时间和维修时间均服从指数分布，用切比谢夫和广义p-值方法讨论了它在t时刻的瞬时可用度的置信下限。

And the output light power pattern is of exponential form when the input pulse width is infinitely small.

对模拟数据进行指数拟合，得到了各拟合系数及相关系数。

ESBCalc Pro is an Enhanced Windows Scientific Calculator with Infix Processing, Exponential Notation, Brackets, Scientific Functions, Memory, Optional Paper Trail, Printing, Result History List, Integrated Help and more.

esbcalc Pro是一个增强的Windows计算器科学与infix加工，指数符号，括号内的，科学的功能，记忆体，可选文件线索，印刷，结果历史记录列表，综合的帮助和更多。

Many will continue to choose to live in duality and in conflict.

许多人将继续选择活在二元对立性和冲突中。

I find that students of the University of Physical Education all wear sportswear at first sight.

我发现：体育大学的学生乍一看，都是穿运动衣，大家都一样