向量基

词组短语

vector basis

与向量基相关的网络例句 [注：此内容来源于网络，仅供参考]

The nonlinear plant is first linearised, the fuzzy basis function vector is then introduced to adaptively learn the upper bound of the system uncertainty vector,and its output is used as the parameters of the compansator in the sense that both the robustness and the asymptotic error convergence can be obtained for the closed loop nonlinear control system.

在该方法中，首先将非线性系统线性化，然后利用模糊基函数向量自适应学习系统不确定向量的上界，模糊基函数向量可作为补偿控制器的一个参数。在控制系统的设计过程中可充分保证非线性控制系统的鲁棒性和跟踪误差的渐进收敛性。

Next, kernel PCA is used to construct a set of orthogonal coordinate base in feature space.

其次，在特征空间中，利用协方差矩阵的非零特征向量构造了一组正交基，并将变换后的光谱向量投影到特征空间中的正交基上。

This the base of support vector vc the source code, used mainly for data mining areas.

这是支持向量基的vc的源代码，主要用于数据挖掘领域。

Research emphasis is put on thefollowing aspects:First,study of multiwavelet basis(e.g.periodic vector,interpolation vector,multi-dimensional vector)suitable for different practical demands.Second,from perspective of operatorapproximation order,study of normal function approximation operator,contrast and comparison ofwavelet operator and multiwavelet operator and their respective applicable fields.And further,onbasis of the above,exploration of approaches of multiwavelet analysis application in function spacetheoretical research,and higher-lever,more convenient approaches for multi-function spaceapproximation theoretical research.Third,by fully employing unique features of multiwavelet,research action of multiwavelet analysis in the construction of L〓space non-conditionalbasis.Fourth,research such as transient signal analysis,image edge extraction,datacompression,fractal signal analysis.

其一，研究适宜于不同实际问题需要的向量小波基（如周期向量小波、插值向量小波、高维向量小波等）；其二，从算子逼近阶的角度研究一般函数逼近算子、小波算子和向量小波算子的异同点以及较优适用领域；在此基础上，探索将向量小波分析应用于函数空间理论研究的途径，寻找更高层次、更便捷地研究多元函数空间逼近理论的方法；其三，充分利用向量小波所独具的完美性质，探索在〓空间〓无条件基的构造中，向量小波分析的价值；其四，对向量小波适用的信号瞬态分析、图像边缘分析、数据压缩保真、分形信号分析等领域应给予特别的重视。

The characteristics of the steepest descent method's small amount of computations and conjugate direction method's fast convergence combined, a conjugate vector base method for solving ill-conditioned linear equations was proposed.

结合最速下降法计算量小和共轭方向法收敛速度快的特点，提出了一种求解病态方程组的共轭向量基的方法。

The accurate solution of linear equations could be expressed linearly by the conjugate vector base, and the iterative strategy was used to construct the conjugate vector base groups and the corresponding coefficient. The constructed conjugate vector base groups were proved to be conjugated.

线性方程组的精确解能够由共轭向量基线性表示，利用迭代的方式给出了构造共轭向量基以及对应系数的方法，证明了算法所构造的向量基的共轭性。

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。

It is one of the important characters of the grey system theory to utilize grey generation modeling. The basis structures of generating space in AGO and in IAGO are respectively obtained by the mathematical research of r-AGO series and r-IAGO series. The results are the following: the coherent and direct expression of the generating basis vector in AGO and r-AGO, the relation expression between two r-AGO series and two r-IAGO series, the relation among generating basis vector, generating series and moving operator.

利用灰色生成建模是灰色系统理论的重要特点之一，通过对r次生成序列（包含r-AGO序列和r-IAGO序列）的数学研究，得到了AGO生成空间和IAGO生成空间的基本结构：AGO和r-AGO生成基向量的统一的直观表达式、任意两个r-AGO序列间与任意两个r-IAGO序列间的关系式、生成基向量生成序列与移动算子间的关系。

Based on this result,the intrinsic reasons that singular value vector-based recognition methods have the low recognition accauracy are follows: singular value vectors of arbitrary two face images have not the equivalent basis space in general;there is no one-to-one correspondence between singular value vector and face image;singular value vectors are not separated.

进一步研究发现，导致基于奇异值向量人脸识别算法识别率低的根本原因是：不同人脸图像对应的奇异值向量所在的基空间不一致、奇异值向量与人脸图像之间并不存在一一对应关系、奇异值向量具有不可分割性。

In order to make use of time-frequency characteristic of signal,a new method of variational estimation on signal frequency by using AR model power spectrum estimation,designing band-pass filter to gain approximatively source signals and underdetermined mixed matrix,and constructing completed observation signals by expanded subspace primer vector is proposed.

充分利用信号的时频特性，提出了AR模型功率谱估计法滑动估计信号频率，设计带通滤波器近似获取源信号和欠定混合矩阵，以及扩展子空间向量基构造完备观测信号的方法，将问题转化为完备情况下的盲分离，最后运用FastICA方法实现了信号盲分离。

与向量基相关的网络解释 [注：此内容来源于网络，仅供参考]

base vector：基向量,基矢量

base unit weight | 基量,基本单位重量 | base vector | 基向量,基矢量 | base width modulation | 基区宽度调制

local base vector：局部基向量,局部基向量

local base level 局部基准面,局部基准面,当地基准面 | local base vector 局部基向量,局部基向量 | local batch job 本地成批作业

vector; base：基向量

vector 向量 | vector; base 基向量 | vector; bound 固定向量

basis of vector space：向量空间的基

basis of linear space 线性空间的基 | basis of vector space 向量空间的基 | basis replacement procedure 基替换过程

vector basis：向量基

vector analysis 向量分析 | vector basis 向量基 | vector bundle 向量丛

vector basis：向量基 本文来自:博研联盟论坛

vector analysis 向量分析 本文来自:博研联盟论坛 | vector basis 向量基 本文来自:博研联盟论坛 | vector bundle 向量丛 本文来自:博研联盟论坛

eigenvector basis：特征向量基

output basis 输出基 | eigenvector basis 特征向量基 | input coordinate 输入坐标

Orthogonal basis：正交基

[简介](重定向自正交基)跳转到: 导航, 搜索在线性代数中,一个内积空间的正交基(orthogonal basis)是元素两两正交的基. 称基中的元素为基向量. 假若,一个正交基的基向量的模长都是单位长度1,则称这正交基为标准正交基(Orthonormal basis). 无

vector bundle：向量丛 本文来自:博研联盟论坛

vector basis 向量基 本文来自:博研联盟论坛 | vector bundle 向量丛 本文来自:博研联盟论坛 | vector calculus 向量计算 本文来自:博研联盟论坛

base ket：基括向量= 基右矢

base centered lattice 底心晶格 = 底心格 | base ket 基括向量= 基右矢 | basin of attraction 吸引域