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function theorem
相关语句
  函数定理
     The implicit function function theorem considers the structure of F -1 (0).
     隐函数定理考查 F- 1(0 )之构造 .
短句来源
     ONE IMPLICIT FUNCTION THEOREM
     一个隐函数定理
短句来源
     In the fourth chapter, we discuss the existence of periodic solutions of first order nonlinear difference equation by applying contraction mapping theorem and Leray-Schauder fixed point theorem and the implicit function theorem.
     第4章利用压缩不动点定理和Leray-Schauder不动点定理对具连续变量的一阶非线性差分方程周期解的存在性进行了讨论,获得了一系列判断周期解存在性的充分条件,然后利用隐函数定理讨论了连续周期解的存在性问题。
短句来源
     TO ANALYSE THE IMPLICIT FUNCTION THEOREM TOPOLOGICALLY
     从拓扑学观点分析隐函数定理
短句来源
     Nashed as well as a "hard" implicit function theorem which improves the related theorem of M.S.
     Nashed的一个结果,并且证明了一个“硬的”隐函数定理,它改进了M. S.
短句来源
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  “function theorem”译为未确定词的双语例句
     Experience formula relating to extrusion of degermed maize for production of starch syrup established based on function theorem of dimension analysis
     量纲分析的函数理论建立挤压脱胚玉米生产淀粉糖浆的经验公式
     Some Related Problems and the Relationship Between the Theorem of Kinetic Energy and the Function Theorem
     动能定理与功能原理的关系及其有关问题
短句来源
     Solving a Class of Nonlinear Singular Integral Equations with Displacement by Implicit Function Theorem
     用隐函数定理解一类带位移的非线性奇异积分方程
短句来源
     AN EXTENSION OF IMPLICIT FUNCTION THEOREM
     隐函数定理的一个推广
短句来源
     An Extension & Application of Implicit Function Theorem
     隐函数定理的一个推广及其应用
短句来源
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  相似匹配句对
     On the Inverse Function Theorem
     关于反函数定理
短句来源
     UNICITY THEOREM FOR MEROMORPHC FUNCTION
     关于亚纯函数唯一性的一个定理
短句来源
     Theorem.
     定理:设Ω(?)
短句来源
     Theorem C.
     定理C.
短句来源
     The function of
     睾丸激素的功能
短句来源
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  function theorem
Existence and uniqueness results are established via theLp-Lq a priori estimates and the inverse function theorem.
      
Implicit function theorem for cosymmetric equations
      
Converse implicit function theorem for dynamical systems with cosymmetry
      
Implicit-Function Theorem on the Cone in a Neighborhood of an Irregular Point
      
An implicit function theorem is given for the singular case.
      
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When we discuss the solution of the system of nonlinear equations in several variables F(X)=Y, where F: DR~n→R~m, X∈R~n, Y∈R~m, we usually require that F has a strong F-derivative and F'(X)is nonsingular. In this paper; without those hypotheses, we have proved the implicit function theorem and discussed the solution of (1)under some weaker conditions.

通常在讨论多变量非线性方程组F(X)=Y (1)的解时,其中F:DR~n→R~m,X∈R~n,Y∈R~m,要求映象F具有强F—导数,且F'(X)是非奇异的。本文在较弱的条件下,即在不假设F为F—可导的前提下,证明了非局部的隐函数定理,进而讨论了(1)的解。

When we discuss the solution of the system of nonlinear equations in several variables F(X)=Y, where F: DR~n→R~m, X∈R~n, Y∈R~m, we usually require that F has a strong F—derivative and F'(X) is nonsingular. In this paper, without those hypotheses, we have proved the implicit function theorem and discussed the solution of (1) under some weaker conditions.

通常在讨论多变量非线性方程组 F(X)=Y (1)的解时,其中F:DR~n→R~,X∈R~n,Y∈R~m,要求映象F具有强F—导数,且F′(X)是非奇异的。本文在较弱的条件下,即在不假设F为F—可导的前提下,证明了非局部的隐函数定理,进而讨论了(1)的解。

Theory on the two dimensional state space has been further developed as a model appropriate to Kalman's filtering for image processing since R.P. Roesser established it in 1975. As a review, this paper lays stress on introducing the recent research works on the Roesser's discrete state space model of two dimensions which includes such concepts from one to two dimensions as the general response formula, the state-transitiom matrix, the 2-D Cayley-Hamilton theorem and the observability and controllability. The...

Theory on the two dimensional state space has been further developed as a model appropriate to Kalman's filtering for image processing since R.P. Roesser established it in 1975. As a review, this paper lays stress on introducing the recent research works on the Roesser's discrete state space model of two dimensions which includes such concepts from one to two dimensions as the general response formula, the state-transitiom matrix, the 2-D Cayley-Hamilton theorem and the observability and controllability. The author gives proof of a response function theorem (cf. section 5, eq. (4.6)) by means of frequency domain other than the proof by Roesser[3]who utilized the time domain. Also, the author gives proof of the observability and controllability in the two dimensional system which are unproved in [3] and [4] in bibliography. Several examples are given, one is cited in illustration of the concept of Cayley-Hamilton theorem and three are cited to demonstrate the realization of the 2-D recursive filters. The practical task to be Developed in near future is mainly to continue the application of Roesser's discrete state space model to Kalman's filtering for image processing. However, some theorems concerned were proved so tediously and so complicated in operation that to simplify and improve them would be of necessity.

本文着重介绍二维离散状态空间的数学模式的定义及其有关的一些性质,如转移矩阵的二维幂形式,二维Cayley-Hamilton定理、二维传递函数与A、B、C、D矩阵的关系、二维响应函数,以及二维空间系统的可控性和可观察性等。

 
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