查询词典 adjoint operator

Op1 + op2 The addition operator will add two numbers. op1 - op2 The subtraction operator will subtract two numbers. op1 * op2 The multiplication operator will multiply two numbers. op1 / op2 The division operator will divide two numbers. op1 % op2 The modulus operator will return the remainder of the division of two integer operands. op1 xx op2 The exponentiation operator will raise op1 to the power of op2.++op1 The pre-increpment operator will increase the value of op1 first, then assign it. op1++ The post-increment operator will increase the value of op1 after it is assigned.--op1 The pre-decrement operator will decrease the value of op1 before it is assigned. op1-- The post-decrement operator will decrease the value of op1 after it is assigned.

op1 + op2 对两个数值做加法操作 op1 - op2 对两个数值做减法操作 op1 * op2 对两个数值做乘法操作 op1 / op2 对两个数值做除法操作 op1 % op2 求两个整型数值的余数 op1 xx op2 求幂操作：求 op1 的 op2 次幂++op1 前加操作： op1 的值先增加，然后将值赋给自身 op1++后加操作： op1 的值先赋给自身，再增加值--op1 前减操作： op1 的值先减少，然后将值赋给自身 op1—后减操作： op1 的值先赋给自身，再减少值

In this paper,a systematic direct perturbation method of dark solitons is found.Having analyzed the mistakes in earlier works on perturbation method for dark solitonsand essence of the direct perturbation method for bright solitons,we notice that to in-troduce the adjoint solutions of the squared Jost solutions and to prove the completenessare crucial to the problem.Giving up the unnecessary scheme of introducing the adjointoperator in the bright soliton case,we directly find the adjoint solutions by meetingthe demand for the orthogonality that inner product of the squared Jost solutions andits adjoint should be proportional to a δ function in the case of continuous spectra.The corresponding adjoint operator is thus found.Taking into account the reductiontransformation,we find a correct description for the completeness of the squared Jostsolutions and directly verify its validity with explicit expressions of the squared Jostsolutions.

本论文建立了系统的暗孤子直接微扰方法，在对前人关于暗孤子微扰方法的错误以及亮孤子直接微扰方法的本质作了充分的分析后，认识到引入平方Jost解的伴随解和证明完备性是问题的关键，撇开过去亮孤子情况首先引入伴随算子的非必要作法，直接从平方Jost解与其伴随解的内积在连续谱时正比于δ函数这一正交性要求出发，找出了伴随解，同时得出了应有的伴随算子，在考虑到约化变换性后，得到了暗孤子情况的平方Jost解的完备性的正确表述，并在单个暗孤子的情况利用平方Jost解的显式直接验证了它的正确性。

We also give all positive self-adjoint extensions ofsingular differential operators,and all positive self-adjoint operators generated by theproducts of differential expressions 〓,where l is an nth order differentialexpression.The result that each positive self-adjoint operator is not necessarily theform of operator product 〓.This answers an open problem proposed by theauthors recently.

我们也给出了奇型微分算子的所有正自伴扩张形式及乘积微分算式〓所诱导的所有正自伴算子形式，证明〓所诱出的正自伴算子不必须是由算子乘积〓为l所生成的算子）的形式，从而回答了作者新近提出的一个公开问题。

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。

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。

Specify what status the spatial operator algebra locates at in many methods of multibody systems dynamics formulations and what the relations are between the spatial operator algebra and other dynamics formulations.We explain the basic conception of the Lie group, Lie algebra and Riemannian manifolds in detail, deeply analyze and research the Special Euclidean Group SE(3) and se(3) in the Lie group, Lie algebra. Establish the relation between the adjoint transformation Adg and the operatorφ(k + 1,k) under a particular condition, substitute the operatorφ(k + 1,k)with spatial adjoint operator Ad kk ?

在多体系统动力学理论体系中，详细阐述了Lie群、Lie代数和Riemannian几何的基本概念，对Lie群、Lie代数中的特殊Euclidean群SE(3)和se(3)作深入分析与研究，建立Lie括号下的伴随变换Adg在特定条件下与空间算子代数理论中的空间变换算子φ(k + 1，k)之间的相互关系，并将空间伴随算子Ad kk ？

In this paper, we proposed continuous interval argument OWH operator for aggregating continuous interval argument on the basis of ordered weighted harmonic averaging operator. Based on C-OWH operator, we proposed some new concepts, such as weighted harmonic C-OWH operator, ordered weighted harmonic averaging C-OWH operator, combined C-OWH operator, and we discussed some properties of these operators.

本文首先把OWH算子推广到了连续区间上，提出了连续的区间数据OWH算子，然后在此基础上提出了加权调和的C-OWH算子，有序加权C-OWH算子以及组合的C-OWH算子等新的概念，探讨了它们的一些性质。

Its main tasks are to deal with binary images, gray scale processing, and the use of Sobel, Canny, Roberts, Laplacan operator of four digital image edge detection, the results show that: Roberts operator more precise positioning, but more sensitive to noise, Sobel operator son of gray-scale images with low noise gradient has a better detection of the effect of Laplacian can be detected in the vast majority of the edge did not appear at the same time the basic pseudo-edge, the edge can be precisely targeted, Canny operator is the traditional first-order differential operator in one of the best operator to detect the best edge detection, edges clear, make clear at a glance.

主要工作包括图像的二值处理，灰度处理，并运用Sobel、Canny、Roberts、Laplacan四个算子实现数字图像边缘检测，结果表明：Roberts 算子定位比较精确，但对噪声比较敏感，Sobel算子对灰度渐变低噪声的图像有较好的检测效果，拉普拉斯算子可以检测出绝大部分边缘，同时基本没有出现伪边缘，可以精确定位边缘，Canny算子是传统一阶微分算子中最好的算子之一，检测边缘检测的效果最好，边缘轮廓清晰，使人一目了然。问题补充：摘要英文翻译，不要在线翻译的，是在线等！急啊！！！！谢谢！！！！

Its main tasks are to deal with binary images, gray scale processing, and the use of Sobel, Canny, Roberts, Laplacan operator of four digital image edge detection, the results show that: Roberts operator more precise positioning, but more sensitive to noise, Sobel operator Gradient gray son of low-noise images have a better detection of the effect of Laplacian can be detected in the vast majority of the edge did not appear at the same time the basic pseudo-edge, the edge can be precisely targeted, Canny operator is the traditional first-order differential operator in one of the best operator to detect the best edge detection, edges clear, make clear at a glance

主要工作包括图像的二值处理，灰度处理，并运用Sobel、Canny、Roberts、Laplacan四个算子实现数字图像边缘检测，结果表明：Roberts 算子定位比较精确，但对噪声比较敏感，Sobel算子对灰度渐变低噪声的图像有较好的检测效果，拉普拉斯算子可以检测出绝大部分边缘，同时基本没有出现伪边缘，可以精确定位边缘，Canny算子是传统一阶微分算子中最好的算子之一，检测边缘检测的效果最好，边缘轮廓清晰，使人一目了然。不要在线翻译的那种！在线等！！急！！！谢谢！！！

This method adopts data-based optimization algorithm to design the initial prediction operator and update operator at each decomposition scale, the initial prediction operator and update operator are interpolated with zero, and then the redundant prediction operator and redundant update operator are obtained.

该方法采用基于数据的优化算法，设计每层小波分解的初始预测器和更新器，然后通过对初始预测器和更新器进行插值补零运算，来获得冗余预测器和更新器。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。