向量分解

词组短语

vector decomposition

与向量分解相关的网络例句 [注：此内容来源于网络，仅供参考]

In the fourth chapter, firstly it introduces the Boolean functions algebraic expressions of the 2-value clock-controlled stop-and-go generator and Gunther generator. It reveals the balanced property of the two kinds of Boolean functions, and studies the Walsh cycle spectrum and the autocorrelation function. It also obtains the coincidence rate of their output sequences with affine sum of some bits of input sequences, and analyzes their ability of resisting the best affine approximation cryptanalysis and differential cryptanalysis. Secondly, we properly present a new definition of the Best Affine Approximation, namely BAA on the Boolean vector functions, followed by the spectral characteristic of such defined BAA attacks through using the decomposition formula of the union distribution for random variables. A lower bound of such BAA attacks is proposed. Finally, we also study the spectral characteristic of the second kind of nonlinearity of Boolean vector functions, followed by a higher bound of such nonlinearity. Furthermore, the limited relationship between the second kind of nonlinearity of Boolean vector functions and the linear structure of the linear combination of every component is analyzed.

在第四章中，首先给出了2值密钥流"停走生成器"和"衮特生成器"中实际存在的布尔函数的代数表示，揭示了这两类布尔函数的平衡性，随后研究了它们的Walsh循环谱和自相关函数等，得到了它们的输出序列与输入序列中的某些bit的仿射项的符合率，分析了它们抵抗最佳仿射逼近攻击和差分攻击的能力；其次，我们合理地给出了布尔向量函数最佳仿射逼近的新定义，利用布尔随机变量联合分布的分解式考察了相应的谱特征，并给出了布尔向量函数与其最佳仿射逼近的符合率的一个下界；最后，我们还考察了布尔向量函数第二类非线性度的谱特征，给出了布尔向量函数第二类非线性度的一个上界，并揭示了布尔向量函数第二类非线性度与其各个分量的线性和的线性结构之间存在的制约关系。

Using the theories of probability, algebra and spectral theory comprehensively, we investigate some related characteristics of logic functions in cryptography: Firstly, we introduce m order generalized s - correlation immunity of Boolean vector functions and prove that the higher order generalized ε- correlation immunity can guarantee the lower order generalized ε- correlation immunity. Then by applying decomposition formula of joint distribution of Boolean random vectors, we give a spectrum criterion of m order generalized e - correlation immunity of Boolean vector functions. Furthermore, we show that the algebraic degree of m order generalized e - correlation immune Boolean vector functions is not restricted by the correlation immune orders.

本文主要运用概率论的思想和方法，并结合代数学和频谱理论的相关知识，对密码学中逻辑函数的有关性质进行了研究，主要包括以下三个方面的内容：首先，对布尔向量函数的相关免疫性进行了拓展，给出了k维布尔向量函数m阶广义ε-相关免疫的概念，证明了布尔向量函数的高阶广义ε-相关免疫性蕴含低阶广义ε-相关免疫性，并根据布尔随机向量联合分布分解式得到了布尔向量函数m阶广义ε-相关免疫的一个谱判别条件，还说明了m阶广义ε-相关免疫布尔向量函数的代数次数不受相关免疫阶数的制约。

Two methods for DOA estimation, Signal Subspace Approximation and Signal Eigenvector Decomposition , are presented.

提出了DOA估计的信号子空间近似和信号特征向量分解两种方法。

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。

Since fast algorithm for multiwavelet decomposition and reconstruction are crucial steps inapplication,discretion form of multiwavelet is obviously necessary.This dissertation makes asuccessful exploration in this aspect,synchronously designs a new pre-filter method for multiwavelet,and gives evaluation regulations of pre-filters for different objects.These research results providereliable guarantee for exploration and study of multiwavelet application.

由于向量小波的分解、重构快速算法在应用中是必不可少的重要环节，故必须给出向量小波的离散化形式，本文在这方面做了成功的探索，同时还设计了一种新的向量小波的预滤波器，并给出了选择适合于不同对象的预滤波评判准则，这些研究成果使向量小波应用潜力和应用前景的拓展有了可靠的保证。

The image is first reduced in dimension by Gaussian pyramid, and the Hu moment is applied to the fixed sized overlapping blocks of low-frequency image. The eigenvectors are lexicographically sorted. Then, similar eigenvectors are matched by a certain threshold value. Finally, the area threshold value is proposed to remove the wrong similar blocks. The mathematical morphology operations are performed to locate the tampered part.

该算法首先将图像进行高斯金字塔分解，将低频图像进行块分解，提取每块的Hu矩不变特征，并将特征向量排序，然后为每个特征向量搜索符合阈值的相似特征向量；最后利用区域面积阈值去除错误的相似块，并结合数学形态学定位篡改区域。

II, Polynomial rings on a general field( on contrast of those over a number field): concepts of ring, ideals, field and several special rings as domains, principal ideal domains and unique factorization domains, the unique factorization theory of polynomial rings.

二、一般域上的多项式理论（是数域上多项式理论的推广）：学习环、域和几类特殊结构的环（整环、主理想环，唯一分解环等）的概念，多项式环的唯一分解定理；三、线性代数：讲述一般数域上的向量空间理论（是数域上向量空间理论的继续和推广），模的概念，主理想环上的模的结构及其线性变换的若当标准型等；四、一元多项式的解及域论：学习域扩张及其相关概念，伽罗瓦理论，用伽罗瓦定理判断根式解的存在性。

To that aim, we study a decomposition of the vector fields first of all, and then we neglect ?

为了找出它们的关系，我们先做了个向量分解，然后忽略了？

Many polarimetric target decompositions were explored, and support vector machine was applied to the classification of polarimetric SAR image. A new algorithm of target classification was presented based on polarimetric target decomposition and support vector machine. Finally, the effect of classification results was discussed by selecting different kernels and different parameters.

五系统地对各种极化目标分解方法进行了深入的探讨，并应用支持向量机对极化SAR图像进行分类研究，提出了一种基于极化目标分解和支持向量机的目标分类算法，并通过选择各种类型的核函数以及不同的参数，探讨其对地物目标分类结果的影响。

Wavelet packet decompresses vibration signals, and wavelet packet nodes which are sensitive to the change of state, as eigen-nodes, form a decomposition tree; the signal restructured at all eigen-nodes can be used as the fingerprint in many breaker diagnostic systems. Support vector machine with the "most important" factors at eigen-nodes as input vector classifies the states at "one to others" strategy.

首先利用小波包分解振动数据，提取状态变化敏感节点作为特征节点形成分解树，利用敏感节点重构完好状态振动信号，并以此作为当前大多断路器诊断系统中使用的指纹信号；同时提取特征节点最大系数形成特征向量，作为支持向量机的输入向量，使用&一对其余&策略进行特征分类。

与向量分解相关的网络解释 [注：此内容来源于网络，仅供参考]

resolution of force：力的分解

residual 残差; 剩余 | resolution of force 力的分解 | resolution of vector 向量分解; 矢量分解

resolution of force：力的分解Btu中国学习动力网

residual 残差; 剩余Btu中国学习动力网 | resolution of force 力的分解Btu中国学习动力网 | resolution of vector 向量分解; 矢量分解Btu中国学习动力网

resolution of vector：向量分解; 矢量分解

resolution of force 力的分解 | resolution of vector 向量分解; 矢量分解 | resolve 分解

resolution of vector：向量分解; 矢量分解Btu中国学习动力网

resolution of force 力的分解Btu中国学习动力网 | resolution of vector 向量分解; 矢量分解Btu中国学习动力网 | resolve 分解Btu中国学习动力网

vector component：向量分量

vector calculus 向量计算 | vector component 向量分量 | vector decomposition 向量分解

vector decomposition：向量分解

vector component 向量分量 | vector decomposition 向量分解 | vector density 向量密度

vector decomposition：向量分解 本文来自:博研联盟论坛

vector component 向量分量 本文来自:博研联盟论坛 | vector decomposition 向量分解 本文来自:博研联盟论坛 | vector density 向量密度 本文来自:博研联盟论坛

vector density：向量密度

vector decomposition 向量分解 | vector density 向量密度 | vector diagram 向量图

vector density：向量密度 本文来自:博研联盟论坛

vector decomposition 向量分解 本文来自:博研联盟论坛 | vector density 向量密度 本文来自:博研联盟论坛 | vector diagram 向量图 本文来自:博研联盟论坛

vector product：向量积

vector processor 向量处理器 | vector product 向量积 | vector resolution 向量分解