查询词典 exponential equation

A quasi one-dimensional, time dependent system model based on the parallel compressor theory was used to compute the effect of inlet distortion on turbine engine stability; Through Modifying steady state continuum equation, momentum equation and energy equation, the effect of power extraction and additional bleed on turbine engine running line was computed. Unsteady state continuum equation, momentum equation and energy equation were solved for computing the effect of acceleration on turbine engine running line.

其中，进气畸变对发动机气动稳定性影响的计算采用平行压气机模型，基于李亚普诺夫理论的方法完成；附加引气、功率提取对发动机气动稳定性的影响采用通过对发动机转子间质量、动量、能量守恒方程进行修正的方法进行；加速过程对发动机气动稳定性的影响采用欧拉方法求解动态的质量、动量、能量守恒方程的方法完成；最后采用&层迭&的方法进行各种降稳因素的综合评估。

Results There was a linear trend between logarithmic X and Y, the equation of logarithmic curve was able to be fitted, There was a linear trend between logarithmic Y and X, the equation of exponential curve was able to be fitted, There was a linear trend between logarithmic X and logarithmic Y, the equation of power curve can be fitted. There is a parabola pattern between X and Y, the equation of parabola was able to be fitted.

结果 X取自然对数与Y作散点图有直线趋势，拟合对数曲线方程；Y取自然对数与X作散点图有直线趋势，拟合指数曲线方程；X取自然对数与Y取自然对数作散点图有直线趋势，拟合幂函数曲线方程；原始数据X和Y成抛物线关系，拟合抛物线方程。

In this thesis, the virtual boundary integral equation is based on double layer potential with the virtual density to be determined on virtual boundary. Since this integral equation related to double layer potential only involves the computation of the normal derivative and second normal derivative of fundamental solution, the exponential integral function is not involved in it, so numerical computation for the exponential integral function is avoid.

本文则基于双层位势，引入虚拟矩密度函数来建立虚边界积分方程，并首先对时间变量进行解析积分，在虚、实边界上采用常单元和等额配点离散，该方程只涉及含基本解的法向导数及其二阶法向导数项的计算，对时间变量进行解析积分后，不会出现对指数积分函数的空间变量的积分计算。

The optimum models were obtained by non-linear fitting to describe the kinetic processes of adsorption of Cd on four types of soils in Northeast, China. According to the results, exponential equation and exponential function equation were more appropriate to fit the kinetic process than other equations.

通过非线性拟合的方法获取了适宜描述Cd在东北地区土壤上吸附动力学特征的最优化模型，综合来看，指数方程和指数函数方程比较适宜于描4种土壤对Cd的吸附动力学特征。

The existence and uniqueness of the solution with the help of the Banach fixed point theorem and the theory of operator semigroups are verified .The global exponential stability of KS equation and the global exponential stability and asymptotical stability of macro KS equation with the given boundary feedbacks are proved .

通过Banach不动点原理和算子半群理论证明了方程解的存在性和唯一性，并证明了KS方程在给定的边界反馈条件下是全局指数稳定的及广义的KS方程在给定的边界反馈条件下是全局指数稳定和渐近稳定的。

We provide a substitution box, exponential permutation which has much measurable security, and give a enumerating result and a fast algorithm of calculating such permutation. An almost perfect nonlinear exponential permutation with high algebric degree is proposed. with some discussion on how to select the parameters of such permutation. The experimental result shows us a conjecture that there exists no such permutation over even dimensional space. As a way of generating substitution boxes, we briefly point out the cryptographic weakness of the exponential functions derived from such permutation. We also present two new cryptographic indexes, fixed point and cyclic structure, on which we investigate the performance of such permutation. Finally, we give a viewpoint about the application of correlation immune functions in designing substitution boxes.

提供了一种可度量安全强度的代换盒－幂置换；详细阐述了幂置换的实现和计数问题；给出了一种计算幂置换的快速算法；从几乎完善非线性幂置换角度讨论了幂置换参数的选取，并提出了一种高次几乎完善非线性置换；通过试验给出了关于偶数维空间上几乎完善非线性幂置换的一个猜想；简要给出了由幂置换派生出的幂函数的密码局限性；针对幂置换，提出了两个密码安全指标：不动点和循环结构；证明了幂置换在这两个指标下的密码性能；简要讨论了相关免疫函数与代换盒设计的关系。

On the basis of 414 soil profiles from 14 provinces, it was found that soil organic carbon, differing from soil inorganic carbon and other elements, has a trend of exponentially decreasing with depth. Integral analysis of exponential curve contrasting with the linear model affords the uncertainties of linear model and exponential model for carbon storage calculation. It was found that the integration of TOC with the linear model has errors between +20% to +100%, much higher than that of the exponential model (-10% to +20%).

在收集分析14个省市414条的土壤剖面数据的基础上，发现土壤有机碳的垂直分布与无机碳和其他元素不同，存在指数分布规律，运用面积积分运算方法发现利用直线模型计算土壤有机碳库的误差(+20％~+100％)远大于指数模型的误差(-10％~+20％)。

We establish the relation of inversion formulas among generalized Radon transform with known weight functions, the exponential Radon transform and classical Radon transform, furthermore obtain approximate inversion formula of the exponential Radon transform, the idea of approach above is applied to contour reconstruction and is generalized to n-dimentional euclidean space case. We discuss the support theorem, range condition of the exponential Radon transform.

本文建立了带权广义Radon变换、指数型Radon变换与古典Radon变换反演公式的关系，从而得到指数型Radon变换的近似反演公式，并且应用这种思想方法于轮廓重构，并将这一结果推广到任意维欧氏空间的情形；讨论了指数型Radon变换的支集定理及值域条件。

Triple exponential smoothing method and the combined of triple exponential smoothing method and Markov model both belong to time series method. Triple exponential smoothing method strongerly dependenced to short-term data. The combined method needed data which had more accurate; it must be the data of population quantity of many years continuously.

2三次指数平滑法、三次指数平滑法和马尔可夫链预测模型的组合预测方法都属于时间序列分析法，三次指数平滑法对近期数据的依赖性较强，组合预测法对数据的要求较高，必须是多年连续的种群数量变动数据。

This paper studies the exponential stability of cellular neural networks with time- varying delay by making use of the homoeomorphism theory, the idea of vector Lyapunov function, M- matrix theory and inequality - technique, offering the grounds for uniqueness of equilibrium point existence and the global exponential stability and estimating the exponential convergence rate index.

利用同胚映射理论、向量Lyapunov函数思想、M-矩阵理论和不等式技术，研究了具有变时滞的细胞神经网络模型的全局指数稳定性，给出了判定平衡点的存在唯一性以及全局指数稳定性的一个判据，并且估计了收敛速度指标。

Some questions asked by the adjudicators in one English Speaking Contest still run upon me very often.

我参加了一场以"我心中的奥运会"为主题的英语演讲竞赛，其间评判提的几个问题时时萦绕我的心头。

He called InTERActive our most profitable release of the year.

他呼吁互动的我们的最有利可图的释放一年。