查询词典 hyperbolic

The method is a com- bination of the theory of normally hyperbolic invariant manifolds and an appropriate continuation method.

我们将在第四章利用法向双曲不变流形理论和Kopell，Chicone的延拓方法，来证明2个自由度的非哈密顿扰动系统的2维共振不变环面的存在性定理。

Three common mathematic models are always employed to predict the growth of regional or urban population,including exponential function,inverse hyperbolic function,and logistic function.

预测人口增长的数学模型通常采用3种函数，即指数函数、Logistic函数和双曲函数。3种模型的数学根源都在于二阶Bernoulli式微分方程，它们是不同的生长条件下的Logistic方程的特解。

In the ***, all types and fundamental principles of Radon transform are summarized systematacially. This *** starts from the general linear Radon transform, and then researches how to use the damped least square method to find the solution of the forward transform. However, the least squares smoothing effect will lead to a certain degree of trails in the data of Radon domain, which led to the application\'s limitations. After that the implementation in Radon domain and relative merits of linear Radon transform, parabolic Radon transform and polynomial Radon transform which have time invariance are introduced, the conjugate gradient method that can solve numerical solution is also given. And then the high resolution Randon transform is discussed, it introduces the regularization theory and Bayes principle into inversion, which successfully remove the negative affect caused by discrete Radon transform. Finally, we introduce the optimal weighting similar coefficient Radon transform, which adapt to the time variant quality of hyperbolic Radon transform.

本文系统总结了Radon变换的各种类型及其基本原理，从τ- p变换(即一般线性Radon变换)出发，研究利用阻尼最小二乘平方法求解其正变换，但是最小平方法的平滑作用会导致Radon域数据存在一定程度的拖尾效应，给这种方法的应用带来了很大的局限性；然后先容了具有时不变性的线性、抛物和多项式Radon变换在频率域的实现及其优缺点，给出了求解其数值解的共轭梯度算法；接着讨论了高分辨率Radon变换，它把正则化思想和贝叶斯原理引进到了反演中，很好的克服了离散Radon变换产生的截断效应对结果的不利影响；最后先容了适应双曲Radon变换时变性质的高分辨率最优相似系数加权Radon变换。

Chapter 2 deals with some refinements of the central limit theorem for a class of non-uniformly hyperbolic dynamical systems called Young\'s system, such as local central limit theorem and so-called Berry-Esseen theorem giving the rate of convergence in the central limit theorem.

在第二、三章中，我们考虑一类重要的非一致双曲动力系统的统计性质-中心极限定理，及其进一步的精细结果如局部中心极限定理，带有收敛速度的中心极限定理。

Utilizing Multivariate Regression Modeling and Spectral Derivative to establish five function pattern cotton dry matter accumulation modeling based on Ratio Vegetation Index and Normalized Difference Vegetation Index,all correlation coefficient is highly positive(α=1%,n=96),based on RVI modeling has a higher precision than NDVI does,hyperbolic curve fitting,exponential curve fitting and logarithmic curve fitting have further improved analysis against cotton dry matter accumulation.

利用北疆8个棉花主栽品种(其中2个棉花品种设4水平种植密度)的各生育期冠层高光谱数据，经多元统计分析与光谱微分处理，建立了基于比值植被指数和归一化植被指数的5种函数形式的棉花干物质积累估测模型，相关系数均达到了极显著水平(α=1%，n=96)。

In this thesis, we study stable and complete submanifolds with constant mean curvature and some L~p-norm curvature in Euclidean spaces and hyperbolic spaces.

在本文中，我们较系统的研究了欧氏空间和双曲空间中具有常平均曲率和某一有限L~p范数曲率的稳定完备子流形。

By using the Tadmor's convergence criteria for the difference approximation of the hyperbolic conservative e2 quation and introducing some adjusting parameter in the nonvanishing viscosity , some convergence properties are obtained.

Descripción ：摘要：应用Tadmor 的关于双曲型守恒方程式差分逼近的收敛性判别法，对于若干差分逼近式，引入一些参数，只要在上机时适当调整此参数值，即可得到其收敛性。

The hyperbolic grid generation method which doesn't need to determine the outer boundary of the embedied grid in the Chimera grid and is well controllable for the density of the grid is studied and developed, and in this method the Laplace's smoothing method is used to deal with local corner problem.

1在嵌套网格思想的基础上，研究和发展了嵌套网格方法中不需定义内嵌网格外边界且网格疏密可控性好的双曲型方程网格生成方法，并采用了椭圆光顺技术和当地拐角处理技术。

A standard accessorial reflecting mirror was incorporated into the beam path of an interferometer to build up a autocollimating system for measuring the aspheric wavefront aberration of paraboloidal, ellipsoidal and hyperbolic mirrors with the method of aberrationless point.

为了检测抛物面、椭球面和双曲面镜，在干涉仪工作光路中加入一个标准辅助反射镜，组成自准直系统，采用干涉法中的无像差点法实现对非球面波像差的检测。

Parallel coordinates visualization based on dimension constraints and application on data clustering, Journal of Fuzhou University Natural Edition

2007，35(2)：196-200高飞，樊明辉，关玉梅，陈崇成。 Hyperbolic技术及其在海洋环境质量评价与分析中的应用，福州大学学报(自然科学版， 2007， 35(2)：

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。