查询词典 permutation operator

While extracting the embedded watermark, only need scan the permutation order of 2x2 block for the disputant image, and need not compare the original image.

在取出浮水印时将从受测影像中取出2x2区块像素间大小顺序排列组合与之对照，此时不须参考原始影像资料即可取出浮水印。

To strengthen the inequality symbol with the training, 2. to expanse the applications of trigonometric functions to polar coordinates and Parameter equation, 3. to adjust Permutation and combinationwith Probability and Statistics, 4.to strengthen applications of Higher Geometry in the Elementary Geometry.

对此问题本文试着从中学数学教学的角度，在以下几个方面进行探讨：1 加强带符号的不等式的训练，2 扩充三角函数在参数方程和极坐标中的应用，3 排列组合与概率统计的调整，4 高等几何在初等几何中的应用。

Other enumeration problems lead us to the study of orbits of permutation groups.

其它的计数问题引导我们去研究置换群的轨道。

The permutation is even if the number of inversions it contains is even.

如果一个排列中含有的反序的个数是偶数，则称它为偶排列。

Positive association were still remained for two locus that MNAT1-rs973063 and PCNA-rs25406 and lung cancer risk even after 1000 times permutation test.During the stratified analysis,we revealed that that several genes in the NER pathway could interact with age,gender,family cancer history and smoking status.

在进行了多重校正后，有两个位点仍显示出关联显著性：MNAT1-rs973063(p=0.02)，PCNA-rs25406(p=0.03)；在随后进行的分层分析中，我们发现NER通路多个基因分别和年龄、性别、肿瘤家族史以及吸烟状况之间存在互作，提示该通路基因位点可能主要是通过和环境交互作用产生效应；我们还进行了单倍型的分析，结果发现PCNA和RPA1两个基因上的单倍型和肺癌易感性相关。

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。

In noncommutative scalar field theories, the appearing of nonplanar diagrams is related to permutation symmetry of field functions in the interaction Lagrangian, while in NCQED we can not arbitrarily change the positions of field functions in the interaction Lagrangian because different positions of the field functions correspond to different representations of the gauge group.

这里需要特别指出的是NCQED的非平面图产生的原因与非对易标量场根本不同，非对易标量场非平面图的产生是和相互作用拉氏量密度中场函数间位置的置换对称性有关，而在NCQED中我们不能随便交换相互作用拉氏量密度中场函数的位置，因为场函数的不同位置对应着规范群的不同表示。

The secret hash digital signature is a new siganture method that combines the ideas of RSA public-key algorithm, MD5 one-way hash function and permutation code at the same time.

保密散列数字签名算法利用RSA公钥密码体制的原理、MD5单向散列函数和排列码加密的思想，构造了一种能够快速实现数据保密、数字签名的签名方案。

It is proved that a wrpp semigroup satisfies a permutation identity if and only if it satisfies the identity xyzw= xzyw.

证明了wrpp半群满足置换恒等式当且仅当它满足恒等式xyzw=xzyw。

Further,we findalso that groups in Saito's results may be replaced by right groups;secondly we mainly investigatethe semidirect products and wreath products of P-regular semigroups;Finally we shallcharacterize the sandwich matrice of completely simple P-regular semigroups,and investigate thestructure of P-regular semigroup whose C-set satisfies a permutation identity.

在这一章中，首先指出Saito在研究半群的半直积和圈积时，对S的限制是不必要的，证明了Saito结果中群可换为右群；其次，研究P—正则半群的半直积和圈积；最后刻划了完全单P—正则半群的夹心阵和C—集满足置换恒等式的P—正则半群的结构。

It has to be computed by the host for the actual clock rate.

主控制器可以用来计算实际的时钟速率。

Let's see what you got.

让我看看你的东西