算子

基本解释 (translations)

operator

词组短语

arithmetic operators

与算子相关的网络例句 [注：此内容来源于网络，仅供参考]

Although many results have been obtained, there are still a number of very interesting questions about composition operators unsolved. There is much more to be learned about the collective compactness and convergence of composition operator sequences, compactness of various product of composition operators, cyclicity, closed range and spectra of composition operators in various settings. Commutants of composition operators seem to be very difficult to characterize. Only a little is known about their reducing invariant subspaces. There has been no work on C〓 algebras generated by composition operators.

尽管已取得如此丰富的结果，但是关于复合算子仍然有大量非常有意义的问题值得研究，例如：复合算子序列的总体紧性及收敛性、复合算子的各种乘积的紧性、复合算子的闭值域问题、复合算子在各种解析函数空间上的谱的描述、换位复合算子的刻画、复合算子诱导的不变子空间问题、循环复合算子的研究、由复合算子生成的C〓-代数的研究、不同解析函数空间之间的加权复合算子及复合算子半群等等问题。

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。

As to how to avoid weaknesses of these two operators, scholars have made unremitting efforts. One of the most famous is the French mathematician Sablonniere P, who introduced and studied a kind of new quasi-Bernstein interpolation operators in 1992. This kind of operators have given dual attention to the Lagrange operator and the Bernstein operator merit, and have avoided the twos deficiency.

对于这两种算子如何扬长避短，学者们做了不懈努力，其中最为著名的是法国数学家Sablonniere P，他于1992年引入并研究了一种新的拟Bernstein插值算子B上标(k 下标 n，，这是一类介于Lagrange算子与Bernstein算子之间的拟插值算子，这类算子兼顾了Lagrange算子与Bernstein算子的优点，克服了二者的不足。

As an extension, we also obtain some sufficient and necessary conditions under which M_c is left Fredholm and left Weyl for some left invertible operator C, respectively.In chapter 2, the sufficient and necessary condition under which the difference of two idempotent operators on infinite dimensional Hilbert spaces is Fredholm (in-vertible) is discussed. In addition, some equivalent conditions under which products and differences of projections in a C~*-algebra are Moore-Penrose invert-ible are obtained.

来源：Ae5BCab论7a文网www.abclunwen.com对给定的算子对，给出存在左可逆算子C使得M_C左可逆的充要条件；存在可逆算子C使得M_C左可逆的充要条件；存在左可逆算子C使得M_C是左Fredholm算子的充要条件；存在可逆算子C使得M_C是左Fredholm算子的充要条件；存在左可逆算子C使得M_C是左Weyl算子的充要条件；存在可逆算子C使得M_C是左Weyl算子的充要条件。

The paper gives a detailed introduction to the classification and mothed of image edge detection from the traditional point of view,that is,the robert operator based on the maximum gradient detection,the sobel operator,the prewitt operator,the canny orerator,the laplancan operator based on the detection of second derivative of the zero-crossing point and then log operator.The paper makes a summary and analysis to the principles and applications,advantages and disadvantages of each algorithms and operators. Especially the canny operator.

本文首先介绍了图像边缘检测在国内外的发展，图像边缘检测的重要性及意义，阐述了图像边缘检测的原理，从传统的角度详细介绍了的图像边缘检测的分类及方法，即基于检测梯度最大值的robert算子，sobel算子，prewitt算子，canny算子，基于检测二阶导数的零交叉点的laplacan算子及log算子，对各种算法和算子的原理及用法及优缺点做了总结和分析尤其是canny算子。

Perfect aspectual operator, experience aspectual operator, progressive aspectual operator, and short aspectual operator are veridical operators;⑵Chinese PPIs can be license d by veridical operators;⑶PPIs and NPIs in Mandarin Chinese distribute symmetrically and are unified underveridical contexts.

本论文从汉语时态的角度，对汉语中的时态算子对汉语正极项的允准进行了初步的研究；并试图证明以下三个问题：⑴汉语中的时态算子：完成态算子，经历态算子，进行态算子，及短暂态算子为真实性算子；⑵汉语中的正极项能够被真实性算子允准；⑶汉语中的正极项与负极项呈对称性分布，并统一于真实性语境。

In this project, we study the theory of higher order differential equations in Banach spaces and related topics. We solve an open problem put forward by two American Mathematicians and two Italian Mathematicians concerning wave equations with generalized Weztzell boundary conditions, introduce an existence family of operators from a Banach space $Y$ to $X$ for the Cauchy problem for higher order differential equations in a Banach space $X$, establish a sufficient and necessary condition ensuring $ACP_n$ possesses an exponentially bounded existence family, as well as some basic results in a quite general setting about the existence and continuous dependence on initial data of the solutions of $ACP_n$ and $IACP_n$. We set up quite a few multiplicative and additive perturbation theorems for existence families governing a wide class of higher order differential equations, regularized cosine operator families, regularized semigroups, and solution operators of Volterra integral equations, obtain classical and strict solutions having optimal regularity for the inhomogeneous nonautonomous heat equations with generalized Wentzell boundary conditions, gain novel existence and uniqueness theorems,which extend essentially the existing results, for mild and classical solutions of nonlocal Cauchy problems for semilinear evolution equations, present a new theorem with regard to the boundary feedback stabilization of a hybrid system composed of a viscoelastic thin plate with one part of its edge clamped and the rest-free part attached to a visocelastic rigid body. Also we obtain many other research results.

在本研究中，我们对Banach空间中的高阶算子微分方程的理论以及相关理论进行了深入研究，解决了由美国和意大利的四位数学家联合提出的一个关于广义Wentzell边界条件下的波动方程适定性的公开问题，恰当地定义了Banach空间中的高阶算子微分方程Cauchy问题的算子存在族及唯一族，建立了齐次和非齐次高阶算子微分方程Cauchy问题适定性的判别定理，获得了关于高阶退化算子微分方程的算子存在族、正则余弦算子族、正则算子半群、Volterra积分方程解算子族的乘积扰动和混合扰动定理，得到了关于以依赖于时间的二阶微分算子为系数的一大类非自治热方程非齐次情形下的时变广义Wentzell动力边值问题的古典解、严格解的最大正则性结果，获得了半线性发展方程非局部Cauchy问题广义解和经典解存在唯一的判别条件，从实质上推广了现有的相关结果；得到了一部分边缘固定而另一部分附在一粘弹性刚体上的薄板构成的混合粘弹性系统的边界反馈稳定化的新稳定化定理，还建立了一系列其他研究结果。

For an abitrary set X, appropriate order relations on WCL (the set of all weak closure operators), WIN (the set of all weak interior operators), WOU (the set of all weak exterior operators), WB (the set of all weak boundary operators), WD (the set of all weak derived operators), WD*(the set of all weak difference derived operators), WR (the set of all weak remote neighborhood system operators) and WN (the set of all weak neighborhood system operators) can be defined respectively, which make WCL, WIN, WOU, WB, WD, WD*, WR and WN to be complete lattices that are ismorphic to CS(X,CS is the set of all closure systems on X.

证明了可以在WCL(X上的弱闭包算子的全体)、 WIN(X上的弱内部算子的全体)、 WOU (X上的弱外部算子的全体)、 WB (X上的弱边界算子的全体)、WD、 WD*(X上的弱差导算子的全体)、 WR(X上的弱远域系算子的全体)和WN(X上的弱邻域系算子的全体)上定义适当的序关系，使它们成为与CS(X，〖JX-*5[JX*5]同构的完备格其中CS(X是给定集合X上的闭包系统的全体。

Based on some related concepts of shock disturbed system, weakening buffer operators with variable weights and strengthening ones with variable weights are established respectively. This subject defines buffer operator regulation degree which reflects effect strength to original sequence caused by buffer operator, and also studie the relationship between buffer operator regulation degree and variable weight. Consequently, the monotonicity nonvariable axim of buffer operator is put forward.

基于冲击扰动系统的相关概念，提出了变权缓冲算子的概念，分别构造了变权弱化缓冲算子和变权强化缓冲算子，定义了缓冲算子调节度来反映缓冲算子对原始序列的作用强度，并研究了缓冲算子调节度与可变权重之间的关系，在此基础上提出了缓冲算子的单调性不变公理。

Then we sharpen the images with Laplace operator. In the course of edge detection, we detect images' edge by using Roberts operator, Sobel operator, Robinson operator, LoG operator and Canny operator, and compare the results of images' edge. The result shows, Canny edge detection operator precede other operators obviously.

在对图像进行边缘检测时，对经过预处理过的人脸图像分别用Roberts边缘算子、Sobel边缘算子、Robinson边缘算、LoG边缘算子、Canny边缘算子进行边缘检测，然后，对边缘检测算子进行了研究改进，并对检测结果进行了讨论比较，结果表明，Canny边缘算子的检测结果明显优于其它几个算子。

与算子相关的网络解释 [注：此内容来源于网络，仅供参考]

adjoint operator：共轭算子

平滑算子:smooth operator | 共轭算子:adjoint operator | 能力算子:capability operator

boundary operator：取缘算子;边界算子

链体的边缘体 boundary of a chain | 取缘算子;边界算子 boundary operator | 边界基轴点 boundary pivot

bounded operator：有界算子;囿算子

有界矩阵;囿矩阵 bounded matrix | 有界算子;囿算子 bounded operator | 有界量词 bounded quantifier

fuzzy closure operator：模糊闭包算子

模糊闭包算子:fuzzy closure operator | 模糊蕴涵算子:fuzzy implication operator | 模糊蕴涵算子:fuzzy implication operator

operator compact implicit scheme：算子紧致隐格式

算子分裂|operator splitting | 算子紧致隐格式|operator compact implicit scheme | 算子强拓扑|strong topology of operators

finite difference operator：有限差分算子,差分算子

finite difference modelling 有限差分模拟 | finite difference operator 有限差分算子,差分算子 | finite difference scheme 差分格式,有限差分格式

operator; displacement：位移算子

operator; adjoint 伴随算子 | operator; displacement 位移算子 | operator; irreducible tensor 既约张量算子

self-adjoint elliptic differential operator：自伴椭圆型微分算子

self-adjoint differential operator 自伴微分算子 | self-adjoint elliptic differential operator 自伴椭圆型微分算子 | self-adjoint elliptic operator 自伴椭圆型算子

identity operator：恒等算子;单位算子

单位方阵 identity matrix | 恒等算子;单位算子 identity operator | 一致路径 identity path

shift operator：位元移位運算子

Bitwise Complement Operator 單運算元的位元補數運算子 | Shift Operator 位元移位運算子 | Operator Precedence 運算子間的優先順序