查询词典 linear operator

Standard neural network model is the interconnection of a linear dynamic system and a bounded static nonlinear operator, which is depicted as a linear differential inclusion to be analyzed easily with linear matrix inequalities technique.

标准神经网络模型(SNNM-Standard Neural Network Model)由一个线性动力学系统和有界激励函数构成的静态非线性算子连接而成，被表示为线性微分包含的形式，便于利用线性矩阵不等式技术进行分析。

We first show some properties of such operators and give an explit description about the image of a linear bounded operator on a linear normed space. Then based on these results, we show the mean ergordic theorem on a C*-bial-gebra and get a sufficient and necessary condition for a linear functional to be Haar measure. Finally we discuss the sufficent conditions for the existence of Haar measure on C*-bialgebras.

本文首先通过考察这样算子的性质和刻画赋范线性空间中连续线性算子的像集的性质，证明了C*－双代数中的一个平均遮历定理，得到了C*－双代数中的线性泛函是 Haar 测度的充分必要条件；利用遍历定理和这个充分必要条件探讨了C*－双代数中 Haar 浏度存在的一些充分条件。

The introduction of displacement operator, derivation operator, integral operator and the operator, such as differential calculus operator and the definition of the form of computing, will be applied to similar derivation formula gives Newton a Kete Si formula and Bernstein theorem Law said the operator, and form is derived; linear differential equations is the operator solution.

有没有高手可以帮我翻译下这段话啊？？？引入位移算子、求导算子、积分算子和差分算子等微积分算子的定义及其形式运算，将其应用于近似求导公式；给出牛顿一柯特斯公式和伯恩斯坦定理的算子法表示，并进行形式推导；给出线性常微分方程的算子解法。

This book reviews the many areas of numerical analysis, including the configuration polynomial, finite difference, factorial polynomials, summation, Newton formula, operator and configuration polynomial, Cheung section, close polynomials, TaylM more item type, interpolation, numerical differentiation, numerical integration, and with the series, differential equations, differential equations, least squares polynomial approximation, minimax polynomial approximation, rational function approximation, triangular approximation, non-linear algebra, linear equations, linear programming, boundary value problems, MonteCarIo methods and so on.

本书综述了数值分析领域的诸多内容，包括配置多项式、有限差分、阶乘多项式、求和法、Newton公式、算子与配置多项式、祥条、密切多项式、TaylM多项式、插值、数值微分、数值积分、和与级数、差分方程、微分方程、最小二乘多项式逼近、极小化极大多项式逼近、有理函数逼近、三角逼近、非线性代数、线性方程组、线性规划、边值问题、MonteCarIo方法等内容。本书的特色主要表现在利用例题及大量详细的题解来透彻地阐明所述内容的内涵，同时附有大量的补充题以便读者进一步巩固和深化从书中获得的数值分析知识。

The fractional Fourier transform is a linear operator,and will not be influenced by cross terms.

分数傅立叶变换是线性变换，不存在交叉项，采用分数傅立叶变换搜索匹配动目标信号，使其能量汇聚。

We know that asymptotically linear operator equations have negative solutions and sign-changing solutions besides positive solutions, in this chapter, we obtain the existence of this three kind of solutions in Banach space, and we can know the concrete place of these solutions.

第三章的目的就在于借助于不动点指数理论利用一致正条件讨论非线性算子方程变号解的存在性，同时研究了变号解与一对正负解之间的关系，在一定条件下我们证明了：若算子方程x=Ax存在一个变号解，则它的正解和负解必定成对出现。

The signal-or the result of applying to the signal a linear operator-is convolved with a Gaussian filter over a continuum of sizes of the filter.

信号或结果适用于信号的线性运营商是卷积与高斯滤波器的一个连续的大小该过滤器。

Each observable is represented by a densely defined Hermitian( or self-adjoint) linear operator acting on the state space.

每个可见由详细定义的厄密共轭用于状态矢量空间线性操作者来表现。

Often, the characterizations of such linear preservers imply that they are algebric isomorphisms or algebric anti-isomorphisms, and therefore reveal the connection between the inherent properties of operator algebras and linear maps on itself. This makes one know and understand operator algebras more deeply.

其研究结果表明，在许多情形下，这样的线性映射是代数同态或代数反同态，从而揭示了算子代数的固有性质以及与其上线性映射的联系，使人们进一步加深对算子代数的认识和理解。

A Prove that d/dx is a linear operator on V. b You can put a coordinate system on V by mapping p to p(0, p(1), p(2).(Please imagine that flipped 90 degrees so it is a column.) Find the matrix that represents d/dx in this coordinate system.

1证明d/dx是V上的线性算子；2你可以将p映射到p(0， p(1)， p(2)，从而给V加上坐标系（想象将其翻转90°，形成柱体），找出在此坐标系中代表d/dx的矩阵。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。