查询词典 dimension theorem

Lagrange Interpolation; Osculatory Interpolation; Dimension Of Interpolation; Algebraic Curve And Surface; Bezout's theorem

Lagrange插值；切触插值；插值空间维数；代数曲线曲面； Bezout定理

It contains random events and probabilities, random variables and their distributions, multi dimension random variables and their distributions, the number character of random variables, laws of large number and the central limit theorem, etc.

学习概率论的目的是对随机现象有充分的感性认识和比较准确的理解，初步掌握处理不确定性事件的理论和方法，培养学生运用概率方法分析和解决实际问题的能力。

Particularly, when the dimension of input space of the column reduced interval polynomial fraction model is one, the result can be reduced to the well-known Box theorem in robust control.

为了使这种模型更接近于实际系统，文中分别采用了范数有界的加性扰动和乘性扰动以及Gap度量来反映系统的非结构扰动部分。

The aim of this paper is to study the existence of solution and multiply results for quasilinear elliptic system in bounded domain and the whole space, semilinear elliptic equation in two dimension space, second order nonlinear difference equation by variational methods. The main results are listed in the following:1. An abstract compactness theorem is proved, and then, under weak Boccardo and De.

本文主要利用变分法，分别研究了有界区域和全空间上拟线性椭圆型方程组、二维空间上半线性椭圆型方程和二阶非线性差分方程问题的解与多重解的存在性，具体内容如下： 1。

The monotone class theorem of multiple dimension functional format.This is the generalization from the one dimension monotone class theorem.

给出了多维函数形式的单调类定理，它是一维函数形式单调类定理的推广，也是处理多维可测函数、多维随机过程的有力工具。

Next, what have double input and variable of 2 dimension appearance in the light of a kind is nonlinear system, used opposite curvature concept and curve to design controller of contract of appearance of 2 dimension plane by basic theorem, the curve of contrail of appearance be accusinged that controller of contract of this kind of appearance can assure a system and referenced contrail curve have identical figure.

梗概： 针对一般控制系统，利用微分几何中的曲线理论提出了外形变量、被控外形轨迹曲线和外形合同控制等概念。然后，针对一类具有双输入及二维外形变量的非线性系统，利用相对曲率概念和曲线论基本定理设计了二维平面外形合同控制器，这种外形合同控制器能够保证系统的被控外形轨迹曲线和参考轨迹曲线具有完全相同的外形。

Under the cases of the linear interconnected systems with all its subsystems are one dimension, a theorem to judge the properties of single loop interactions has been given; the study also indicated that the properties of interactions cann't independent of the properties of subsystems in the multi-loop interaction conditions, and a all field root locus method has been proposed to decide the properties of interactions; a interaction stabilizable theorem has been given, and the efficacy of interactions with respect to the interconnected systems has been configured, Some primary results are reported which are induced by using a method of computer aided test to study block interactions, the stationary feedback efficacy of closed loop interactions have been discussed and a stability guess has been proposed.

本文提出互连系统的合作稳定性概念及其原理，给出了互连系统的本原稳定度、稳定中心、回路关连的级数以及关连的性质等基本定义；并在此基础上对线性互连系统进行关连分析，给出了一系列涉及到关连与互连系统稳定性关系的命题、引理、定理及其证明；其中，在子系统都是一维的线性定常互连系统情况，得出了单回路关连性质判断的定理；并指出在多回路关连条件下，关连的性质不能独立于子系统的性质，以及用全域根轨迹法判断关连性质的方法；给出了关连可稳定理，并对关连对互连系统的影响作用进行了分析。本文还用机辅试验的方法研究块阵关连并给出一些初步结果，本中还探讨了回路关连的静态反馈作用并提出一个判稳猜想。

Based on the research work of basic theories including phase space reconstruction,embedding theorem,correlation dimension,local dynamics,Lyapunov exponents,surrogate data etc,based on the research work of general methods such as principal component analysis,correlation dimension GP algorithm,false neighbors method,nonlinear time series prediction,local prediction, adaptive prediction,neural network model,support vector machines regression model, prediction power,nonlinear detection,coarse-graining methodology,conditional entropy and so on,the framework of nonlinear time series analysis are constructed.

在对包括相空间重构、嵌入定理、关联维数、局部动力学、Lyapunov指数、替代数据(来源：A97BC论文网www.abclunwen.com)、等基本理论与其物理意义的研究和讨论基础上；在对包括主分量分析、关联维数GP算法、伪邻近点法、非线性时间序列预测、局域预测、自适应预测、神经网络模型、支持向量回归模型、预测效果、非线性检测、粗粒化方法、条件熵等非线性时间序列一般分析方法的原理和算法研究基础上；构建了新的非线性时间序列分析的理论体系，归纳总结了非线性时间序列分析的基本问题和主要研究方面。2。

It introduces normal families, including equicontinuity, Arzela's theorem, Montel's and Marty's theorems, Zalcman's lemma; univalent functions, including Koebe's and de Branges' theorems; quasiconformal mappings, including conformal length, extremal length, geometric, analytic and metric definitions, quasiconformal extension, distortion theorem, quasicircle; iteration of rational functions, including fixed points, the Fatou and Julia sets, periodic points, Siegel disks, the Hausdorff measure and dimension, etc.

具体为：正规族，包括等度连续性、Arzela定理、Montel和Marty正规定则、Zalcman引理；单叶函数，包括Koebe定理和de Branges定理；拟共形映照，包括共形模、极值长度、几何、分析和距离定义、拟共形延拓、偏差定理，拟圆周等；有理函数的迭代，包括不动点、Fatou集和Julia集、周期点、Siegel盘、Hausdorff测度和维数，等等。在教学内容上充分体现综合性、前沿性。

Supposeis two-dimension random variable, is unity density function and marginal density function leave each other, then sufficient and necessary condition for independence of and is: for all real values ,there are .

Theorem 3.3 设是二维连续型随机变量，分别是联合密度函数与边缘密度函数，则相互独立的充要条件是：对任意的实数，都有。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。