查询词典 piecewise linear function

Under some reasonable assumptions of the'Distribution Matrix', the Riemann Problem with piecewise constant initial data is proved to have a unique Riemann Solver; furthermore, using'Wave Front Tracking Method'and properties of the'Generalized Characteristics', we prove the existence of weak entropy solution to the Riemann Problem with arbitrary initial data of bounded Total Variation.

在"分布矩阵"满足合理的假设前提下，证明了具有分片常值初始条件的黎曼问题的黎曼解算子的存在唯一性；并进一步运用"波前追踪法"和"广义特征"等得到了具有任意有界全变差初值条件的广义黎曼问题的弱熵解的存在性。

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 role of the environment is very important.

的作用，环境是非常重要的。

At that time, the High Court of England and Wales Court of Queen's Bench president of William Murray, Lord Mansfield in June 22, 1772 ruling:"No matter then there is the inconvenience, but there must be a decision, I can not say that this case under the law in England are permitted or authorized; are so black should be released."

当时的英格兰及威尔士高等法院王座法庭院长William Murray， Lord Mansfield于1772年6月22日宣判：「无论有那麽不便，但总要有个决定，我不能说这件案在英格兰法律之下是准许或认可；所以黑人是应该被释放。