linear operator造句
例句与造句
- In this thesis , based on principal component analysis ( pca ) , covariance stationary processes and spectral analysis theory of linear operator , spectral principal component analysis ( spca ) is put forward
在主成分分析的基础上,基于协方差平稳过程理论和线性算子谱分析理论,本文提出了谱主成分分析。 - The paper will apply the methods of differential dynamical system and of functional analysis to the study of a series of linear operators and semigroup - nonwandering semigroup in chaotic dynamical system
本文将利用微分动力系统和泛函分析的方法,着重研究混沌动力学中的一类线性算子以及算子半群? ?非游荡算子半群。 - In this paper , we use the analytical method . by using the theory of semigroups of linear operators , we study the integrated semigroups of linear operators and their applications to continuous - time markov chains ( ctmcs )
本文着力于使用分析的方法,以算子半群理论为工具,研究积分算子半群及其在时间连续markov链中的应用。 - The study of direct and inverse theorems on the approximation of linear operators to functions in normed linear spaces is an important subject in the approximation theory . it is significant in theory and application
线性算子对赋范线性空间中函数逼近正逆定理的研究是逼近论中重要的研究课题之一,在理论和实际应用上都具有重要的意义。 - Let h be an infinite dimensional complex hilbert space , b ( h ] the banach algebra of all bounded linear operators on h , and s ( h ) the space of all symmetric operators on h . let l be a real linear , weakly continuous rank one preserver of s ( h )
设h是无限维复的hilbert空间, b ( h )为h上的有界线性算子全体组成的banach代数, s ( h )为h上的对称算子全体 - It's difficult to find linear operator in a sentence. 用linear operator造句挺难的
- Also , by the means of the pattern of matrix and the pattern of linear operator , we characterize the linear operators that strongly preserve nilpotence and that strongly preserve invertibility over antinegative commutative semirings without zero divisors
另外,利用矩阵模式和算子模式等工具,我们在非负无零因子半环上刻画了强保持幂零的线性算子和强保持可逆的线性算子 - This dissertation consists of two parts . in part one , the weighted approximation by the linear operators in classical spaces and approximation in orlicz spaces are studied ; in part two , the approximation of multivariate linear operators is discussed
本学位论文分为上下两篇,上篇主要为一元线性算子在经典空间的加权逼近和orlicz空间的逼近:下篇为多元线性算子在经典空间的逼近和加权逼近。 - Then the relation of regular operators , bounded operators and linear operators on banach lattices are given , that is lr ( e , f ) lb ( e , f ) l ( e , f ) ; order dual , operator dual and algebra dual are related , i . e . e " c e * c e #
然后给出banach格空问上正则算子,有界算子和线性算子的关系: lve ; f ) of 。 ef ) clp , f ) ;给出了序对偶,算子对偶和代数对偶的关系: e ’ ce ” ce个然后引入赋值映射人证明了j是保格运算的格同态 - We study the spectral theory of bounded linear operators and the characterization of ci operators by way of mbekhta ' s subspaces . we find a series of operators which are ci operators by the defination and the characterization of ci operators given by weibang gong in [ 3 ]
利用mbekhta子空间研究一般有界线性算子的谱理论以及描述ci算子的特征;用ci算子的定义和判定方法寻找更广泛的ci算子;同时还讨论了广义逆算子和ci算子及mbekhta子空间的关系。 - In this paper we use pointwise modulus of smoothness ( f , t ) to study approximation direct theorem and equivalent theorem for some linear operators and quasi - interpolant operators ; using pointwise modulus we discuss the strong converse inequality on k - functional ; and using a modified weighted k - functional and weighted modulus of smoothness we study approximation with jacobi weight on operator with non - zero first order moments
本文利用点态光滑模_ ( ~ ) ~ ( 2r ) ( f , t )来研究某些线性算子及逆中插式逼近正定理和等价定理;利用点态光滑模讨论其关于k -泛函的强逆不等式;同时利用一种改变的带权k -泛函和带权光滑模研究一阶矩不为零的算子的点态带jacobi权逼近。 - 2 . by doing precise computation of spectral radius of linear operator of linear equation and by using measure of noncompactness and leray - schauder type fixed point theorem of condensing mapping , the existence and the uniqueness of the solutions are obtained , which extend the results recently achieved in this field
二、通过线性方程解算子谱半径的论证,在紧型条件下利用凝聚映射的leray - schauder不动点定理及幂压缩映射不动点定理,获得了解的存在性与唯一性结果,这些结果推广了近期这方面已有的一些结果。 - Research on quadratic numerical range of bounded linear operators zhang jingjie abstract the study of numerical range started in 1918 - 1919 by toeplitz and hausdorff when they first proved that w ( a ) is always convex , since then , the study of numerical range theory had been one of the most active research areas
自toeplitz和hausdorff在1918 - 1919年首先证明了toeplitz - hausdorff定理以后,有关数值域、数值半径以及各种广义数值域及其数值域半径的研究变得非常活跃。 - After we define the n - numerical range of bounded linear operators on a hilbert space , we find that the n - numerical range have a series properties very similar to that of the quadratic numerical range . at the same time , we prove that under certain conditions , wn ( a ) c w ~ ( a ) and that when h is finite dimensional and dimti = n , we have a ( a ) = wn ( a ) . therefore , it is nature to guess that when h is an infinite dimensional hilbert space , for any space decomposition dn ? ?
首先给出了n次数值域的定义,我们发现n次数值域不但具有一系列和二次数值域类似的性质,而且在给定的条件下还有n次数值域包含在二次数值域当中,另外当是n维hilbert空间时,它的n次数值域就等于它的谱集,前面的结论促使我们猜想,当是无限维hilbert空间时,对的任意的空间分解d _ n ,都应该有下面的式子成立: ( a ) = _ ( d _ n d ) w _ ( d _ n ) ~ n ( a ) 。 - In this thesis , the solution of kolmogorov backward differential equations in birth and death process theory has been proved to be well - posedness by using the theories and methods of linear operator co semigroup in functional analysis . and the existence of superior eigenvalue of the coefficient matrix of the equations has been studied by using the theories of positive operator and conjugate operator
论文主要用泛函分析中的线性算子c _ 0半群理论研究生灭过程理论中柯尔莫哥洛夫向后微分方程组解的适定性,及用正算子和共轭算子的理论和一些结论研究了该方程组系数矩阵算子的占优本征值的存在性问题。 - In last section we propose a new method for image classification and recognition , and the result of experiment shows that the method is effective with classification accuracy of 96 . 67 % . the main creative points in this paper are : propose the concepts of dimension - reduction function and embedding function , define the projection index in term of linear operator and prove two relevant theorems ; design a method to estimate the intrinsic dimension ; put forward an classification algorithm based on lle
本文的主要创新点在于:提出了降维映射和嵌入映射的概念;给出了投影指标的严格定义,证明了两个相关定理;提出了一种用于估计本征维数的方法并设计了实用算法;提出了一种基于局部线性重构思想的分类和识别方法。
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