查询词典 piecewise smooth

In order to study the lasting characteristic of financial time series during different time, Piecewise Detrended Fluctuation Analysis method is proposed.

为了研究金融时间序列在不同时段波动的持久性特征，本文提出了一种逐段非趋势波动分析方法。

Planar discrete clothoid splines and discrete clothoid spline surfaces of Schneider and Kobbelt are just constructed by assuming that the curvature of the curves or surfaces is piecewise linearly distributed.

Schneider和Kobbelt的平面离散布状样条曲线和封闭控制网格上的离散布状样条曲面正是利用曲率逐段或逐片线性分布构造出来的。

V-system consists of piecewise polynomials with multi-level discontinuity. It has property of multi-resolution and compact local support.

V-系统由分段多项式组成，包括各个层次的间断函数，具有多分辨分析特性和局部性。

V-system is a complete orthogonal system on L_2[0,1], which was constructed in 2005 by the author of this paper. V-system of degree k is composed of piecewise k-order polynomials, has multiresolution property, and is a generalization of Harr wavelet.

V系统是作者2005年构造的一类L_2[0，1]空间上的正交完备函数系。k次V系统由k次分片多项式组成，具有多分辨特性，是Haar小波函数的推广。

The V-system is a new class of complete orthogonal functions system in L2[0,1], which is composed of piecewise kth-order polynomials. There are continuous functions as well as discontinuous functions in V-system.

V-系统是一类由分片多项式构成的正交函数系，函数系中既有连续函数又有间断函数。

In the studies of EEG forward problems, primarily the EEG computation models are established, the analysis solution for concentric circle models and the boundary element method for piecewise humongous models are developed. These provide the basis for EEG inverse problems.

在EEG正问题的研究中，首先建立EEG计算模型，研究了针对同心球模型的解析解法和针对任意分层均匀介质的边界元法，为EEG逆问题研究奠定了基础。

In this paper we investigate the dynamical properties of continuous mapson a class of hereditarily decomposable chainable continua and the structure ofthe inverse limit space using a piecewise monotone continuous map with zerotopological entropy on a finite graph as a single bonding map.

本文研究了一类遗传可分可链连续统上连续自映射的动力性质并且对有限图上逐段单调且具有零拓扑熵的连续自映射的逆极限空间的拓扑结构进行了较为细致的刻画。

Conley index; prime isolated invariant set; bifurcation point; discontinuity dynamical systems; finite piecewise continuous map; coding; rigorous computer assisted proof; chaos; Ikeda map

基础科学，数学，动力系统理论Conley指标；素孤立不变集；分支点；间断动力系统；有限分片连续映射；编码；计算机严格辅助证明；混沌； Ikeda映射

Under the assumptionthat the covariant derivative of the sections satisfies the Lipschitz condition with L-averagealong the piecewise geodesic, a unified convergence criterion for Newton\'s method and theradii of the uniqueness balls of singular points around the initial points of sections are es-tablished.

本章的主要内容包括以下两个方面：当截面的协变导数满足沿着分段测地线的关于取正值非减可积函数L-平均的Lipschitz条件条件时，本文给出了关于截面的Newton法收敛的统一判据，同时给出了在初始点附近的关于截面的奇异点的唯一性球的半径的估计。

The technique of parameters normalization based on piecewise estimating the cumulative distribution function is performed in this paper. In this way the non-Gaussianity in the means of the cumulative distribution of Mel-cepstral parameters is decreased. Thus GMMs with fewer mixtures could model them precisely.

本文提出了一种基于分段估计概率分布函数的规整方法，在概率分布的意义上降低特征参数偏离高斯分布的程度，从而可以用较低混合度的高斯混合模型对其建模。

Finally it offers the analysis of the fault-tolerance system as well as its test verification.

这样，运行于空间环境中的系统的设计目标就是在保证系统实时性

However, it is still difficult to find out the real reason of the increase of the keratinized gingiva during the orthodontic extrusion whether it is due to the proliferation of the gingival tissue or to its elastic nature, that is because the proliferation of the fibroblasts as well as the connective tissue changes in volume and the intra-fibers spaces were all immeasurable in most of the studies.

然而，仍然难以找到真正的原因增加的角化牙龈在正畸挤压它是否是由于扩散的牙龈组织或其弹性性质，这是因为增殖的成纤维细胞以及作为结缔组织的变化量和内部纤维空格都是不可估量的，大多数的研究。