查询词典 diagonal

It is to ask whether every bounded linear operator on a separable Hilbert space has a nontrivial invariant subspace and it can be reduced to the case of diagonal operator.

不变子空间问题是一个引人瞩目的公开问题，它是说在一个可分的Hilbert空间上是否每一个有界线性算子都存在非平凡的不变子空间？

Let A" denote the commutant of a bounded linear operator S on H and R denote the collection of all operators in A" which are compact and upper triangular operators with diagonal sequence being zeros. In this paper, we show that if A"= CI + R, the K_0-group of A" is isomorphic to the integer group.

本文指出若H上的有界线性算子S的换位代数A′=CI+R，其中C是复数域，I是H上的单位算子，R是所有与S可交换的对角线为0的紧上三角有界线性算子的集合，则K_0A′

Let R be an arbitrary commutative ring with identity, gl the general linear lie algebra over R consisting of all n × n matricesover R and with the bracket operation = xy -yx, t the lie subalgebraof gl consisting of all n×n upper triangular (resp., strictly upper triangular ) matrices over R and d the lie subalgebra of gl consisting of all n×n diagonal matrices over R.

在第三章中，对R是交换环的情形，讨论了典型李代数的导子代数的结构问题：设R是一个含幺交换环，gl是R上一般线性李代数。t是gl的所有n阶上三角矩阵(相应地，严格上三角矩阵)构成的子代数，d是gl的所有n阶对角阵构成的李代数。

The dancers extend their limbs to the very limit and the emphasis is on asymmetry, diagonal turns and broken ....

音乐基于莫扎特的《德国舞蹈》（K 571），并从这位伟大的作曲家那些肆意的轻佻的信件中获得灵感。4对舞者《来自洛可可时期》和他们的关系。

The dancers extend their limbs to the very limit and the emphasis is on asymmetry, diagonal turns and broken lines.

舞者们用四肢去打破界限，扩展空间并且着重在不对称的，斜线的旋转和虚线。

"The house is an exploration of diagonal space within an orthogonal form and the possibilities of integrating environmental concerns at a fundamental level," says Diarmaid Brophy of FLK.

"这房子是一个探索的空间，对角线形式和正交的可能性将环境问题的一个基本层面上说，" Diarmaid布罗菲的胎肝激酶。

The structure is aligned with a diagonal in Burnham's early 20th Century Plan of Chicago.

的结构是一致的，在伯纳姆的20世纪初的芝加哥计划对角线。

In the case of the eigenvalues with the Jordan diagonal canonical form, a parametric method is proposed.

针对具有约当对角标准型的特征值情形，提出了一种求解该二阶振动矩阵方程的参数化方法。

The outer contours are drawn in ink, with ink wash and orange wash helping to accent the recesses. This space is closed by a thick diagonal beyond which lies another flat plateau, edged on the left by a strong zig-zag series of banks, and overhung on the right by a cliff wholly executed in ink and ink washes. The enclosed space so defined is closed off at the rear by a triangular hill crowned with flowering trees, and on the left by the blank cartouche, originally coloured yellow, through which a white ground now appears.

外面的轮廓用墨画，借助墨和橙色来强调隐密处，这个空间被一条下面的躺在另一个平坦高原的粗的对角线分割开，一条非常弯曲的河岸在它的左边，右边有一个悬崖——完全用墨和墨水处理，围起来的空间明示它在尾部由一个饰以开花的树的三角形山丘来分隔，左边的长方形题签原来是黄色的，现在看起来已经没有颜色了。

So, for example, the bottom of a 100" diagonal image will appear 14" above the lens's centerline.

因此，例如，一个100"对角线图像的底部将出现14"以上的镜头的中心线。

Objective:To explore the feasibility of laparoscopy in diagnosing and treating of abdominal diseases.

目的：探讨腹腔镜用以诊断腹部外科疾病及选择治疗方案的可行性。

The lifetime of nylon 1010 and nylon 1010/POSS composites decreased with increasing temperature.

热重-红外联用分析表明尼龙1010在氮气气氛下的降解产物主要为小分子的低聚物，POSS并不改变尼龙1010降解产物的组成。