查询词典 finite dimensional 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

The main contributions of the second part of this dissertation are focused on the cryptographic properties of logical functions over finite field, with the help of the properties of trace functions, and that of p-polynomials, as well as the permutation theory over finite field: The new definition of Chrestenson linear spectrum is given and the relation between the new Chrestenson linear spectrum and the Chrestenson cyclic spectrum is presented, followed by the inverse formula of logical function over finite field; The distribution for linear structures of the logical functions over finite field is discussed and the complete construction of logical functions taking on all vectors as linear structures is suggested, which leads to the conception of the extended affine functions over finite field, whose cryptographic properties is similar to that of the affine functions over field GF (2) and prime field F〓; The relationship between the degeneration of logical functions and the linear structures, the degeneration of logical functions and the support of Chrestenson spectrum, as well as the relation between the nonlinearity and the linear structures are discussed; Using the relation of the logical functions over finite field and the vector logical functions over its prime field, we reveal the relationship between the perfect nonlinear functions over finite field and the vector generalized Bent functions over its prime field; The existence or not of the perfect nonlinear functions with any variables over any finite fields is offered, and some methods are proposed to construct the perfect nonlinear functions by using the balanced p-polynomials over finite field.

重新定义了有限域上逻辑函数的Chrestenson线性谱，考察了新定义的Chrestenson线性谱和原来的Chrestenson循环谱的关系，并利用一组对偶基给出了有限域上逻辑函数的反演公式；给出了有限域上随机变量联合分布的分解式，并利用随机变量联合分布的分解式对有限域上逻辑函数的密码性质进行了研究；给出了有限域上逻辑函数与相应素域上向量逻辑函数的关系，探讨了它们之间密码性质的联系，如平衡性，相关免疫性，扩散性，线性结构以及非线性度等；讨论了有限域上逻辑函数各类线性结构之间的关系，并给出了任意点都是线性结构的逻辑函数的全部构造，由此引出了有限域上的"泛仿射函数"的概念；考察了有限域上逻辑函数的退化性与线性结构的关系、退化性与Chrestenson谱支集的关系；给出了有限域逻辑函数非线性度的定义，利用有限域上逻辑函数的非线性度与相应素域上向量逻辑函数非线性度的关系，考察了有限域上逻辑函数的非线性度与线性结构的关系；利用有限域上逻辑函数与相应素域上向量逻辑函数的关系，揭示了有限域上的广义Bent函数与相应素域上的广义Bent函数的关系，以及有限域上的完全非线性函数与相应素域上向量广义Bent函数之间的关系；给出了任意有限域上任意n元完全非线性函数存在性与否的完整证明，并利用有限域上平衡的p-多项式的性质给出了有限域上完全非线性函数的一些基本构造方法。

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。

Through the Radon transformation of the normally ordered Wigner operator we introduce two mutually conjugate intermediate coordinate- momentum representations. Based on them we construct the appropriate quantum phase space theory which includes the new Wigner operator adapting to this space and construct the appropriate generalized Fredholm operator equation and then find its solution. We then deriving the Hermite polynomials operator identities by applying the Fredholm equation. We also reveal the connection between the generalized Wigner operator and the 2-dimension normal distribution in statistics, which is useful to study the quantum tomogram. As the application of the entanglement Husimi operator theory we calculate the Wigner function and the Husimi function of the one- and two-mode combination squeezed state , study their characters through drawing the three-dimensional graphics.

由正规序Wigner算符的拉登变换引入了两个互为共轭的中介坐标-动量表象，在此基础上我们建立了相应的量子相空间理论，其中包括引入适合该空间的新的Wigner算符；并在该表象的基础上，建立了广义Fredholm算符方程，求出了它的解，并运用该方程导出有关厄米多项式的算符公式；揭示广义Wigner算符与统计学中的随机变量的二维正态分布形式上的相似，这对于研究量子态的tomogram(是英文Tomography的派生词)有用。

Presenting a theorem of one dimensional time multiplying ,also a demonstration to the theorem which says that Any point in 3 dimensional spaces of the universe at an certain universal moment possesses equivalent physical quantities of one dimensional time that is equal to total amounts of one dimensional time of the universe at same universal moment; Any point in 3 dimensional spaces of the universe at an certain universal moment , its possessed physical quantities of one dimensional time has an constant ratio with respect to one dimensional space , which is universally equal to space time impedance.

给出了一维时间增殖定理及其证明。该定理指出：在任意宇宙时刻，宇宙三维空间中任意一点具有的一维时间物理量量值均相等并等于在该宇宙时刻宇宙具有的一维时间物理量总量；在任意宇宙时刻，宇宙三维空间中任意一点的一维时间物理量的一维空间变化率均相等且恒等于时空阻抗。

By the numerical analysis of the ultimate bearing capacity of two- and three-dimensional footing under combined loading mode, the results show that the effect of alteration of underground water lever on bearing capacity of three-dimensional foundation is more than on that of two-dimensional foundation, the effect of soil gravity on bearing capacity of three-dimensional foundation is more than that of two-dimensional foundation. At the same time, the numerical calculation process of ABAQUS indicates that whether the geostatic stress is balanced or not has great effect on the numerical convergence. In view of the effect extent of dilation angle of soil on the ultimate bearing capacity and the failure pattern of foundation, the condition of two-dimensional plane strain is higher than that of the three-dimensional foundation.

复合加载模式下，通过对三维矩形基础和二维条形基础进行数值分析，结果表明：黏性土地基中地下水位的变化，对三维矩形基础极限承载力的影响程度高于对二维条形基础的影响；在求解地基极限承载力的过程中，土体重度对三维矩形基础的影响明显高于对二维条形基础的影响，同时ABAQUS数值计算过程表明，地基土体地应力能否合理平衡，对数值求解过程中是否收敛有很大的影响；就土体剪胀角对地基极限承载力的影响程度而言，二维平面应变情况下土体剪胀角对极限承载力的影响比三维情况下的影响更明显，即土体剪胀角对条形基础极限承载力的影响高于三维矩形基础。

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！！！

"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了，您现在高兴了，"她说道，这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说：＂失节的以色列比失信的犹大，更显得正义。