查询词典 exponential

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。

The smooth condition for discrete series is studied, and some mistakes about the white exponential law is pointed out. The author proposes the modified condition of white exponential law which makes the data to apply the GM model.

研究了灰色系统理论中的关于离散数列的"光滑性条件"，指出其原有的"白指数律条件"的局限性，提出了新的修正型白指数律的条件，从而为数据应用灰色系统模型提供了检验方法。

Based on the improvement of exponential map, a novel motion parameterization method called Dual Exponential Map which can depict translation and rotation, linear velocity and angular velocity simultaneously was proposed.

对指数映射方法进行改进，提出一种双指数映射运动参数化方法，用于同时描述关节模型的平移与旋转、线速度与角速度。

In order to solve the problem,We proposed a simple formula for computing paraxial travel time of single-way wave operator. The formula is based on the forward and inverse transform between time-space domain to frequency-wavenumber domain and from vector field to exponential manifold. The travel time are expressed as polynomials of the horizontal offset between the two points, and the single-square-root operator in frequency-wavenumber domain are expressed as polynomials of wavenumber. Coefficients of travel time polynomials and that of single-square-root operator are related each other and calculated by Lie algebraic integrand, exponential map and the saddle-point method.

针对此，基于时间空间域到频率波数域和向量场到指数流形上的正反变换，提出了计算单程波算子旁轴走时的简便公式，将走时表示成空间变量(地面点到地下相点的水平距离)的多项式，将频率波数域单平方根算子表示成波数的多项式，运用Lie代数积分、指数映射和鞍点法将走时多项式的系数与单平方根算子的系数联系起来，运用单平方根算子的系数计算走时多项式的系数。

In order to solve the problem, We proposed a simple formula for computing paraxial travel time of single-way wave operator. The formula is based on the forward and inverse transform between time-space domain to frequency-wavenumber domain and from vector field to exponential as polynomials of wavenumber. Coefficients of travel time polynomials and that of single-square-root operator are related each other and calculated by Lie algebraic integrand, exponential map and the saddlepoint method.

针对此，基于时间空间域到频率波数域和向量场到指数流形上的正反变换，提出了计算单程波算子旁轴走时的简便公式，将走时表示成空间变量（地面点到地下相点的水平距离）的多项式，将频率波数域单平方根算子表示成波数的多项式，运用Lie代数积分、指数映射和鞍点法将走时多项式的系数与单平方根算子的系数联系起来，运用单平方根算子的系数计算走时多项式的系数。

However, unlike the simple exponential that describes radioactivity, which has only one variable, a stretched exponential describes a process controlled by several independent factors.

不过，与只有一个变量的放射性简单指数不同的是，延伸型指数函数描述的是被几个独立因素控制的过程。

In Chapter 5, considering the uncertain returns of securities as fuzzy numbers which follow an exponential possibility distribution function, we give a semi-definite programming method to solve the non-linear problem in estimating the exponential possibility distribution function process. Furthermore, we extend the center spread model proposed by Tanaka and Guo to the case of a frictional financial market.

第五章将证券收益率看作是服从指数可能性分布的模糊数，提出了证券收益指数可能性分布估计过程中求解非线性问题的半正定规划方法，并且将Tanaka和Guo的中心差值可能性投资组合模型扩展到了带摩擦的金融市场的情况。

In this paper, a disease transmission model of SEIRS type with exponential demographic structure is studied. Two sufficient conditions are obtained to guarantee the local or global exponential stability of the disease free equilibrium by using a new technique based on the concept of comparison.

本文研究了一类具指数人口统计与结构的SEIRS传染病模型，利用一种新的基于比较原理的分析，获得了无病平衡点局部和全局指数稳定的两个充分条件。

When product life time follows exponential distribution, an approximate method of the point-estimation for the exponential distribution under multiply type-Ⅰ censoring is provided.

文中在寿命分布为指数分布时，给出寻求定时截尾寿命试验数据缺失场合下样本分布参数点估计的一种近似方法。

Based on the water resources survey of Shanghai in 1999 and the 1:50 000 color infrared aerial photos obtained in early 2000, a case study of the upper Huangpu River was carried out. The exponential method, pair-sample t test, and remote sensing analysis are used to analyze water environmental characteristics and land use pattern in the river network plain. In order to explore response of water quality in the waterhead region to the changes in land use and its driving force, five land use patterns are selected and a new type of exponential is designed.

以黄浦江上游水源地为例，利用1999年上海水资源普查数据及2000年初成像的上海市1：50000彩红外航空像片，采用GIS空间分析技术、灰色关联分析技术，划分土地利用样带，设计水质改善指数，探讨平原河网地区水环境质量对土地利用结构的响应，以及水源水质对土地利用变化驱动力的响应。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。