对偶系统

词组短语

dual system

与对偶系统相关的网络例句 [注：此内容来源于网络，仅供参考]

That is that information processing of neural networks is viewed as the composition of the two steps: field organization and field action, in which, field organization transformation converts input pattern into relevant structure representation, extracting the underlying architecture features and forms a architecture representation in action transformation space; The field action transformation converts the features representation into expected output. In strategies, we use the dual affine coordinates in dual flat manifold as way of representation of field organization system and field action system, which established a theoretical framework of analysis the coupling mechanism of information processing from the view of point of structure representation and model generation.

在具体人工神经网络结构描述的策略上，利用对偶流形空间上的对偶仿射坐标概念分别表示场组织变换系统和场反应变换系统，建立起从问题的结构表示和模型生成两种观点来分析信息处理的理论框架；分析了有监督和非监督学习人工神经网络模型在神经场变换机理下的形式化描述。

The main theory results includes:(1) Using the properties of Hilbert transform, perfectly reconstruction and new type of lifting scheme, a new type of dual-tree binary coefficients complex wavelet with linear phase is achieved.(2) For linear systems that can be diagonalized by GFT and DST-II matrices, an efficient MGM method is proposed, convergence is proved.(3) We discuss the algebraic structure when Toeplitz matrix is transformed by multi-band wavelet,show that Toeplitz matrix is composed of generating function is transformed to a band and sparse matrix when wavelet applied to this matrix, based on the above results, an efficient solution of Toeplitz equations is obtained, and the computational complex is O,where N is the order of matrix.

理论成果主要包括：(1)对于对偶树二进制系数复数小波，利用Hilbert变换对性质、完全重构条件并结合新的提升格式构造研究了含参系数多进制小波构造方法，作为特例得到具有线性相位的对偶树二进制系数复数小波构造方法；(2)对于广义离散傅立叶变换与正弦变换对角化系统，提出了高效、快速的多重网格算法，理论上证明了算法的收敛性；(3)研究了Toeplitz矩阵在多进制小波变换下的代数结构，验证了多项式生成函数构成的Toeplitz系统在小波变换下的稀疏带宽性质，从而建立基于小波变换求解Toeplitz系统的快速求解方法，运算量级控制在O，其中N为系统的阶。

The discussion produces some useful result:theconvergence of bounded subfeasible solution sequence and the convergence to zero of thesubfeasible dual gap.

在引入摄动的思想下，针对受摄动KKT系统，首先证明了以上四个规划问题中线性规划及其Wolfe对偶问题解的存在性，在此基础上得到一个关于其有界次可行序列收敛和次可行对偶间隙收敛到0的重要结论。

In dual Brunn-Minkowski theory, we study the properties of the dual harmonic quer-massintegrals systematically and establish some inequalities for the dual harmonic quer-massintegrals, such as the Minkowski inequality, the Brunn-Minkowski inequality, the Blaschke-Santalo inequality and the Bieberbach inequality. We establish the dual Brunn-Minkowski inequality for dual affine quermassintegrals. Recently we learned that Gardner have independently proved it by a different method. The polar body of a convex body is an important object in the context of convex geometry. Hence, after we studied the intersection bodies, it is natural to consider the inequalities for their polar bodies.

在对偶Brunn-Minkowski理论中，我们引入了对偶调和均质积分概念，系统的研究了它的性质，并建立对偶调和均质积分的Brunn-Minkowski不等式，Blaschke-Santalo型不等式和Bieberbach不等式；接着我们建立了对偶仿射均质积分的对偶Brunn-Minkowski不等式，最近我们得知这个不等式被Gardner用另外的方式证明；凸体的极体是凸几何中一个重要概(来源：2525ABf8C论文网www.abclunwen.com)念，既然相交体和投影体有对偶关系，因此在研究完投影体的极体之后自然要研究相交体的极体。

Introduction.We present study history of the invariant theory in linear dual system and the operator series theory.

第一章 绪论：介绍了线性对偶系统中不变性理论和算子级数理论。

This paper is composed of the algorithm design of dual-tree binary coefficients complex wavelets,MGM algorithm for linear systems that can be diagonalized by generalized discrete Fourier transform and type-II discrete sine transform matrices, wavelet and MGM algorithms for Toeplitz systems and their applications in signal and image processing.

本文以多进制小波与对偶树二进制系数复数小波算法设计、三角变换对角化系统MGM算法、Topelitz系统的小波与MGM结合算法作为理论主线，以对偶树复数小波与扩散方程方法结合的图像去噪，信号与恢复作为应用背景展开讨论。

This implies the existence of a polynomially bounded algorithm to find a shortest contractible cycle, a shortest separating cycle, and shortest cycle in an embedded graph in the projective plane and answers the open problems raised by Mohar and Thomassen in the case of projective plane embedded graph.

另一方面，通过定义嵌入图的几何对偶图及其相应的嵌入系统，得到几何对偶图中的可分离圈就对应于原图中的割；反之，若几何对偶图中的割在原图中对应于一个圈，那么该圈一定可分离。

As far as we know, there is no systematic method available in the references for the exact controllability of semilinear systems so far.

我们方法的关键是将半线性系统的精确能控性问题转换成它的线性化系统对偶系统的能观性估计。

In the sense of weak effective solution,the problems of Lagrange duality and saddle point are discussed under the convexlike condition.An alternative theorem of the system containing a semidefinite constraint of a matrix function is established at first.

首先在似凸条件下建立了一个含矩阵函数半定约束系统的择一性定理，由此得到多目标半定规划及其在弱有效解意义下的Lagrange对偶理论，包括弱对偶、强对偶和逆对偶等。

Increase of the regularity of interpolating scaling functions efficiently improves the approximation power of systems, moreover, that of dual scaling functions markedly enhances the smoothness of duals and improves the frequency characteristics of analysis filters in passband and stopband.

内插尺度函数正则度的增加有效提高了系统的逼近能力，对偶正则度的提高显著增加了对偶尺度函数、对偶小波的光滑性，改善了分析滤波器组的通带、阻带特性。冗余度在一定意义下制约了小波系统的性能。

与对偶系统相关的网络解释 [注：此内容来源于网络，仅供参考]

dual cone：对偶锥(接触)

dual computer system | 双并列计算机系统,复式计算机系统 | dual cone | 对偶锥(接触) | dual constraints | 对偶约束(接触)

dual form：对偶形

双重控制系统 dual control system | 对偶形 dual form | 对偶图 dual graph

dual operation：对偶运算

此三款新型微控制器-MB95260H系列、MB95270H系列与MB95280H系列,具备嵌入式对偶运算(dual operation)快闪记忆体,可支援E2PROM模拟器,由於无需外部E2PROM,将可降低系统成本.

dual spaces：对偶空间

dual simplex method 对偶单形法 | dual spaces 对偶空间 | dual system 对偶系统

dual system：对偶系统

dual spaces 对偶空间 | dual system 对偶系统 | dual theorem 对偶定理

Dualsystem dual system：对偶系统

Dualraum dual space 对偶空间 | Dualsystem dual system 对偶系统 | Dualzahl dual number 对偶数

dual theorem：对偶定理

dual system 对偶系统 | dual theorem 对偶定理 | dual vector space 对偶向量空间

self dual：自对偶

自对应元素 self-corresponding element | 自对偶 self-dual | 自对偶系统 self-dual system

self-dual system：自对偶系统

自对偶 self-dual | 自对偶系统 self-dual system | 自等价 self-equivalence

self-dual matrix：自对偶矩阵

自对偶图 self-dual graph | 自对偶矩阵 self-dual matrix | 自对偶系统 self-dual system