查询词典 Penrose

A fast algorithm for calculating the inverse and Moore-Penrose inverse of the permutation factor circulant matrix is presented. Then, a fast algorithm for the product of the permutation factor circulant matrix is given. Finally, The least-square solutions of inverse problems and the optimal approximation problems for the permutation factor circulant matrix are discussed.

首先给出了一种求n阶置换因子循环矩阵的逆阵、自反g-逆、群逆、Moore-Penrose逆的快速算法，然后给出了计算两n阶置换因子循环矩阵之乘积阵的一种快速算法，最后给出了其反问题的最小二乘解的存在性定理及它的一般表示，并证明了逼近矩阵的存在唯一性且给出它的具体表达式。

This article presented a new fast algorithm of Moore-Penrose inverse for an m×n symmetric Loewner-type matrix with full column rank by forming a special block matrix and studied its inverse. Its computation complexity was O+O(n^2), but it was O(mn^2)+O(n^3) by using L(superscript +)=L(superscript TL^(-1)L.

论文通过构造特殊分块矩阵并研究其逆矩阵，给出了秩为n的m×n对称Loewner矩阵Moore-Penrose逆的快速算法，该算法的计算复杂度为O+O(n^2)，而通过L=L(上标 TL^(-1)L计算的复杂度为O(mn^2)+O(n^3)。

Beginning with some cases, the article gives basic definitions of inverse problems and ill-posed problems. Then it discusses the Moore-Penrose generalized solution and the Moore-Penrose generalized inverse, and makes a conclusion that linear compact operator equations are ill-posed, that is, the Moore-Penrose generalized solution is unstable.

本文从一些实例出发，介绍了反问题和不适定问题的基本概念，并讨论了方程的Moore-Penrose广义解和Moore-Penrose广义逆，得出了线性紧算子方程的不适定性，即Moore-Penrose广义解的不稳定性的结论。

Regular icosahedron ; regular dodecahedron ; quasicrystal ; conjugate fractal structural model ; conjugate fractal structural model of quasicrystal ; Penrose pattern ; high resolution structural image by electron microscopy.

正十二面体；正二十面体；准晶体；共轭分数维模型；准晶共轭结构模型； Penrose拼图；高分辨电子显微结构图

This work by M. C. Escher is based on Lionel Penrose's impossible staircase.

Escher 这个作品基于英遗传学家 Lionel Penrose 的不可能楼梯。

Some formulas of the weighted Moore-Penrose generalized inverse of the sum of two matrices are given under two different kinds of conditions, related existing results are extend and modified with a sample and direct proof method.

在两种情形下，利用矩阵的加权Moore-Penrose逆导出了两矩阵和的加权Moore-Penrose逆的公式，其推导证明简洁而直接，文中还给出两矩阵可以同时加权奇异值分解的充要条件，指出了J.K。

In this paper,discussions are made on the weighted Moore-Penrose inverses of the morphisms with universal factorization in the preadditive category.

的范畴中态射的Moore-Penrose逆，给出具有满单分解态射Moore-Penrose逆存在的充要条件以及计算公式。

In addition, we'll discuss the relationship between the weighted Moore-Penrose inverse of a matrix and its bording and give the determinantal expression of the weighted Moore-Penrose inverse.

另外，在矩阵具有加权Moore-Penrose逆的基础上，讨论了交换含幺环上它的加权Moore-Penrose逆与加边矩阵的关系，并给出加权Moore-Penrose逆的行列式表示。

In addition, well discuss the relationship between the weighted Moore-Penrose inverse of a matrix and its bording and give the determinantal expression of the weighted Moore-Penrose inverse.

另外，在矩阵具有加权Moore-Penrose逆的基础上，讨论了交换含幺环上它的加权Moore-Penrose逆与加边矩阵的关系，并给出加权Moore-Penrose逆的行列式表示。

Some necessary and sufficient conditions are introduced for the existence of the weighted Moore-Penrose inverse of the morphisms with universal factorization,and also given are some pertinent formulae.

文献[3]引进了广义Moore-Penrose逆，并讨论了交换环上具有秩分解的矩阵广义Moore-Penrose逆存在的充要条件。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。