查询词典 exponential function

In present, the discussions of EB estimation are almost all about to exponential distribution family and truncated distribution family, but linear exponential distribution is not exponential family and truncated family, thus, Empirical Bayes estimation for parameter of linear exponential distribution are studied in chapter 4 and chapter 7 that is new aspect.

当前对经验Bayes估计的讨论，大多是对指数分布族以及截断分布族的，线性指数分布即不属于指数分布族也不同于截断型分布族，因而在论文的第四章和第七章研究线性指数分布参数的EB估计是具有一定的新颖性的。

Under the heterogeneously exponential setup,we obtain the equivalent characterization in terms of parameters for the stochastic order between the sample range from nonidentical independent exponential observations and that from i.i.d,exponential ones;also,we derive the characterization for the likelihood ratio order between the second order statistics from heterogeneous exponential random variables.

在这种设置下，样本极差X_-X_(1，n)和Y_-Y_(1，n)之间的通常随机序可以用其参数的不等式来等价刻画。另外，我们也建立了第二顺序统计量X_(2，n)和Y_(2，n)之间的似然比序的等价刻画。

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。

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。

The saturated water content, field moisture capacity, wilting coefficient, available water, readily available water, slowly available water of experimented soils respectively has negative power, logarithmic, exponential, exponential, exponential, power, logarithmic relationship with soil bulk density.

土壤容重对土壤水分蓄持能力有较大影响，土壤蓄水能力随容重增大递减，比水容量也随容重增大递减，土壤饱和含水量、毛管断裂含水量、田间持水量、凋萎系数、有效水含量、易效水含量、迟效水含量与容重分别呈幂函数、对数、指数、指数、指数、幂函数、对数关系。

In the paper, the criterion of the white exponential law of a discrete function is given after discussing the necessary and sufficient conditions of a continuous function being an exponential function.

研究了函数为指数函数的充要条件，并给出了白指数律的判别准则。

Though comparing Canny operator and center B spline dyadic wavelet, the following conclusion is proven in this dissertation: a Center B spline function has tight support and Canny operator hasn't. b Center B spline function asymptotic convergence to Gaussian function and the derivative of Center B spline function asymptotic convergence to Canny operator. c The derivative of fourth order center spline B function is more suitable as a optimal edge detector than Canny operator. d Center B spline function can balance the smoothing and approximation of original data, and the fourth center B spline function is the only optimal solution of two order smoothing problem. e The error between the valve of time-frequency uncertainty of the fourth center B spline function and the lower bound of time-frequency uncertainty does not exceed 0.143% of the lower bound. f The derivative of center spline B function can construct a stability dyadic wavelet and can give a fast algorithm for multiscale edge detection, but Canny operator can do neither.

作者给出了Canny算子与中心B样条二进小波严格的比较证明，得出如下结论：a中心B样条函数具有紧支集，Canny算子不具有紧支集。b中心B样条函数的极限收敛于高斯函数，中心B样条函数的导数收敛于Canny算子。c四阶中心B样条函数的导数比Canny算子更接近最佳边缘检测滤波器。d中心B样条函数比高斯函数更能兼顾对原函数平滑和逼近的折中要求，并且四阶中心B样条函数是二阶逼近问题的唯一最优解。e四阶中心B样条函数的时频测不准关系值与时频测不准关系下界的逼近误差不超过0.143％。f中心B样条函数的导数可以构成稳定的二进小波，存在快速的多尺度算法；而Canny算子不构成稳定的二进小波，无法给出快速的多尺度算法。

Fostering the concept of multi-culture firmly and mastering the development of advanced culture correctly are conductive to resisting terrorism, separatism of nationalities and ultraism of religion, which is of great academic theoretical, immediate and profound historical si...

牢固树立多元文化的理念和正确把握先进文化的发展方向，有助于在世界范围内自觉地抵制恐怖主义，民族分裂主义和宗教极端主义。不仅具有重大的学术理论意义，而且也具有重大的现实意义和深远的历史意义。

But if anyone walks in the night, he stumbles, because the light is not in him.

11：10 若在黑夜行走，就必碰跌，因为那光不在他里面。