查询词典 ordered linear space

In this paper, we shall apply this concept to the ring of linear operators on Banach space X and prove that if a linear operator T on a Banach space X is defined in all of X and has finite descent and ascent then there is a Drazin inverse T~D satisfying TT~DT~k=T~k, T~DTT~D= T~D, and T~DT=TT~D for some nonegative integer k.

以后又对方阵的Drazin逆作了深入的研究。它的一些性质可以参阅。同时对它的应用也作了许多研究，例如可以把Drazin逆的概念应用到Markov过程、线性微分方程组、差分方程组和最优控制等方面。

Linear maps take elements from a linear space to another, in a manner that is compatible with the addition and scalar multiplication given on the vector space.

唯一的要求是，在标形式的数学结构，称为领域。在应用软件，这一领域通常是外地的实数或复数领域。

This paper deals with the problem of finding a lower-order linear continuous time-invariant stable state space symmetric system to approximate a given higher-order linear continuous time-invariant stable state space symmetric system so that the L_2 norm of the model mismatch is minimized.

研究用一个低价隐定连续线对称性时不变系统去近似一个高阶隐定连续线对称性时不变系统以使它们之间的L2 -范数误差最小化。

This paper gives the definition of grey topological linear space for the first time, andproves that it has some characters similar to those of ordinary topological linear space,suchas translation invariance ,balance and absorbability.

给出友拓扑线性空间的定义，证明它具有与普通拓扑线性空间相类似的性质，如平移不变性，均衡性，吸收性等。

Based on concepts of relative algebraic interior and relative topological interior of sets,some conditions assuring Ari+Bri in a linear space and conditions assuring riA+Bri in a linear topological space are given respectively,according to Tanaka and Kuroiwa' s conclusions.

根据Tanaka和Kuroiwa的结论，在集合相对代数内部和相对拓扑内部概念的基础上，分别讨论了线性空间中Ari+Bri和线性拓扑空间中riA+Bri成立的条件，从而将Tanaka和Kuroiwa关于内部的结论推广到了相对内部的情形

So, in this paper, a circular cavity witha large radius is used to replace the straight boundary of thehalf space, then the half space problem can be changed tothe scattering problem of two circular cavities to the steadyincident P-wave . Having the aid of the mature cylinderfunction theory, the general solutions of the wave functionscan be given, and an infinite linear algebraic equations ofthe unknown coefficients in the wave functions can be gottenwith the boundary conditions and the Fourier complex seriesexpansion technology, the infinite linear algebraic equationscan be approximately solved by the finite trunction withsatisfying some definite precision, at the basis of thissolution of the equation, the variations and the lay-outs ofthe DSCF at the circular cavity boundary vs. the differentincident angles, the different embedded depths of thecircular cavity as well as the different dimensionless wavenumber of the incident P-wave.

为此，本文采用一个半径很大的圆孔来代替半空间的直边界，将该半空间问题转化为一无限大空间中两个圆孔对稳态P波的共同散射问题，借助于成熟的柱函数理论，通过写出问题波函数的一般形式解，利用问题的边界条件，并采用复数傅立叶级数展开技术将其化为一个仅包含问题波函数中未知系数的一无穷线性代数方程组，在满足一定计算精度的前提下，通过有限项截断进行近似求解，进而讨论了圆孔边界处的动应力集中系数随不同入射角、不同的圆孔掩埋深度、入射波的不同无量纲波数以及介质的泊松比变化和分布情况。

The state space of a piecewise linear system can be divided into several linear regions separated with hyperplanes. And the system with multiple nonlinearities can be analysed by the state space method.

根据分段线性系统的概念，可以将状态空间分成多个线性区域，各线性子空间通过超平面互相衔接，这样就可以用状态空间法来对这种具有多个非线性的系统进行分析。

In which, for the statistic that use the phase-space formed by position 1-linear vectors and momentum 1-linear vectors in 4D time-space and the mutual reactions among these particles can be dealt as elasticity collision, they are the usual de Broglie waves.

其中，对于4维时空位置1-线矢和动量1-线矢组成的&相宇&进行统计，当粒子间的相互作用可当作弹性碰撞时，它就是&德布洛意波&。

The optimality conditions of vector extremum problems with generalized inequality constraint are obtained by the theorem in ordered linear topological space.

运用此定理，在序线性拓扑空间中获得了带广义不等式约束的向量极值问题的最优性条件。

In ordered linear topological space, the concept of (u,O_2,Y_ )- generalized subconvexlike map is defined, and some important properties of the concept are discussed, and the alternative theorem of the map is established.

在序线性拓扑空间中，定义了(u，0_2；Y_ )-广义次似凸映射的概念，并讨论了它的一些性质，建立了此映射的择一定理。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。