查询词典 orientation preserving isomorphism

We show that Jordan multiplicative bijective maps on prime operator algebrasmust be additive. As its application, we show that every Jordan * multiplicative bijec-tive map on every factor C~* algebra is a C~* isomorphism or a conjugate C~* isomorphism,in the special case of B, it must be a *-isomorphism or a conjugate *-isomorphism.We also prove the additivity of Jordan multiplicative bijective maps on nest algebras.

证明了素算子代数上Jordan可乘双射的可加性，利用这一结论刻画了因子C~*代数上的Jordan*可乘双射，我们的结果表明这样的映射一定是C~*同构或共轭C~*同构；证明了套代数上的Jordan可乘双射的可加性。

The key concepts are "isomorphism" and "symmetric isomorphism" which are used to describe the relation between two search domains, the key results are "Structure Theorem","Isomorphism Theorem" and "Isomorphism Classification Theorem".

核心的概念是非常重要的用于描述搜索域之间相互关系的"同构"与"对称同构"，核心结果是"结构定理"，"同构定理"和"同构类定理"。

This paper studies the invariant, which is the linear preserving problem based on generalized inverse of matrices. The generalized inverse of matrices and the research status of preserving problems of generalized inverse are outlined. In the basis of deeply understanding the basic knowledge of linear maps, the definition, characteristics of generalized inverse and decomposition of matrix, the author analyzes the decomposition form of preserving idempotence and preserving tripotence in the PID, then studies on the linear maps form of preserving group inverses of symmetric matrices.

本文研究的不变量是矩阵广义逆线性算子的保持问题，概述了广义逆矩阵，广义逆保持问题的研究现状，在对线性映射的基础知识，广义逆矩阵的定义、性质和矩阵的分解深入理解的基础上，深入分析了保幂等、保立方幂等矩阵在主理想整环上的分解形式，继而研究了保对称矩阵群逆的线性算子形式。

We have the honour to make this statement on human rights, sexual orientation and gender identity on behalf of 1 - We reaffirm the principle of universality of human rights, as enshrined in the Universal Declaration of Human Rights whose 60th anniversary is celebrated this year, Article 1 of which proclaims that "all human beings are born free and equal in dignity and rights"; 2 - We reaffirm that everyone is entitled to the enjoyment of human rights without distinction of any kind, such as race, colour, sex, language, religion, political or other opinion, national or social origin, property, birth or other status, as set out in Article 2 of the Universal Declaration of Human Rights and Article 2 of the International Covenants on Civil and Political, Economic, Social and Cultural Rights, as well as in article 26 of the International Covenant on Civil and Political Rights; 3 - We reaffirm the principle of non-discrimination which requires that human rights apply equally to every human being regardless of sexual orientation or gender identity; 4 - We are deeply concerned by violations of human rights and fundamental freedoms based on sexual orientation or gender identity; 5 - We are also disturbed that violence, harassment, discrimination, exclusion, stigmatisation and prejudice are directed against persons in all countries in the world because of sexual orientation or gender identity, and that these practices undermine the integrity and dignity of those subjected to these abuses; 6 - We condemn the human rights violations based on sexual orientation or gender identity wherever they occur, in particular the use of the death penalty on this ground, extrajudicial, summary or arbitrary executions, the practice of torture and other cruel, inhuman and degrading treatment or punishment, arbitrary arrest or detention and deprivation of economic, social and cultural rights, including the right to health; 7 - We recall the statement in 2006 before the Human Rights Council by fifty four countries requesting the President of the Council to provide an opportunity, at an appropriate future session of the Council, for discussing these violations; 8 - We commend the attention paid to these issues by special procedures of the Human Rights Council and treaty bodies and encourage them to continue to integrate consideration of human rights violations based on sexual orientation or gender identity within their relevant mandates; 9 - We welcome the adoption of Resolution AG/RES.

附录：关于性倾向和性别认同联合声明中英文联合声明中文我们很荣幸地代表做出这一关于人权、性倾向和性别认同的声明 1 -如同宣布&所有人类生而自由，平等享有尊严和权利&的《世界人权宣言》——今年是该宣言发表60周年——第1条中所昭示的那样，我们重申人权的普遍性原则； 2 -如同《世界人权宣言》第2条和《公民、政治、经济、社会和文化权利国际公约》第2条及《公民权利和政治权利国际公约》第26条中所陈述的那样，我们重申所有人都有权享有人权，不受任何种类——如种族、肤色、性别、语言、宗教、政治观点或其他观点、国家或社会出身、财产、血统或其他身份——的区别对待； 3 -我们重申要求将所有人权平等应用于所有人类，无论其性倾向或性别认同如何的非歧视原则； 4 -我们深切关注基于性倾向和性别认同的侵犯人权和基本自由的现象； 5 -我们还对世界各国由于性倾向或性别认同而针对人们的暴力、骚扰、歧视、排斥、污名化和偏见，以及这些做法破坏了遭受这些虐待者的完整性和尊严感到不安； 6 -我们谴责基于性倾向和性别认同的侵犯人权行为，无论这些行为发生在哪里，尤其是以此为由使用死刑，法外处决、即审即决或任意处决，酷刑和其他残忍、不人道或有辱人格的待遇或处罚的做法，任意逮捕或拘留，以及剥夺经济、社会和文化权利，包括健康权； 7 -我们回想起2006年，五十四个国家在人权理事会面前发言，请求理事会主席提供一个未来在适当的理事会会议上讨论这些侵犯人权行为的机会； 8 -我们赞赏人权理事会特别程序和条约机构对这些问题给予的关注，并且鼓励他们继续将对基于性倾向和性别认同的侵犯人权事件的考虑纳入其有关权限中； 9 -我们欢迎美洲国家组织大会在其2008年6月3日的第38次会议上通过了关于&人权、性倾向与性别认同&的AG/RES。

In chapter 3, Jordan derivations and Jordan isomorphisms of nest algebras are investigated. It is proved that every Jordan derivation of nest algebra is an inner derivation. Every Jordan isomorphism between nest algebras is either an isomorphism or an anti-isomorphism. Finally, a norm estimate for derivations of nest subalgebras of von Neumann algebras is given, and it is shown that every nest subalgebra of factor von Neumann algebras has property AIP .

第三章研究了套代数上的Jordan导子和Jordan同构，证明了套代数上的每一个Jordan导子都是内导子；套代数之间的每一个Jordan同构要么是同构要么是反同构；最后给出了因子von Neumann代数中套子代数上导子的一个范数估计，同时也证明了因子von Neumann代数中的任何一个套子代数都具有AIP性质。

It is proved that every Lie derivation of nest algebra is the sum of an associative derivation and a general trace. Every Lie isomorphism between nest subalgebras of a factor von Neumann algebra is the sum of an isomorphism and a general trace or the sum of a negative anti-isomorphism and a general trace. Lie invariant subspace of linear mappings on Banach algebras is introduced, and linear maps from nest subalgebra of a factor von Neumann algebra into itself which satisfy the property that the space of derivations is their Lie invariant subspaces are characterized. Simultaneously, it is shown that such maps are Lie derivations modulo the set of scalar multiple of the identity.

得到Lie导子的特征表示，即套代数上的任何一个Lie导子都是内导子与广义迹之和；给出了Lie同构和同构及反同构之间的关系，即因子von Neumann代数中套子代数之间的任何一个Lie同构要么是同构与广义迹之和要么是负反同构与广义迹之和；引入了Banach代数上线性映射的Lie不变子空间，并给出von Neumann代数中套子代数上以导子空间为Lie不变子空间的线性映射的一个刻画，同时也表明在模去数乘恒等映射的意义下，以导子空间为Lie不变子空间的线性映射就是Lie导子。

Vanadium mainly exists as independent minerals or in clay minerals in the form of isomorphism, with a small amount absorbed by clay minerals and limonite. Nickel mainly exists as independent minerals. Molybdenum occurs as colloidal sulfides with carbon, sulfur and clay, and forms molybdenite through thermal metamorphism. Uranium is unevenly scattered in collophanite and carbonaceous_argillaceous materials in the form of isomorphism or adsorption. REE mainly occur in collophanite in the form of isomorphism. Copper, lead and zinc chiefly exist in sulfides or sulfo_arsenides and are concentrated in the metallic layer.

钒或以独立矿物存在，或以类质同象赋存在粘土矿物中；镍主要以独立矿物存在；钼主要与碳、硫、粘土一起呈钼硫化物胶状集合体，经热接触变质作用后形成辉钼矿；铀呈不均匀分散在胶磷矿和碳泥质中，呈类质同象或吸附状态存在；稀土元素主要呈类质同存在于胶磷矿中，部分呈吸附状态存在；铜、铅、锌主要以硫化物和硫砷化物等存在，多富集在金属层中。

The coarsening direction and final morphology vary with stress axis orientation, the γ′precipitates in [001] orientation coarsen as rod-like structure in the direction of [001] , and those in [110] orientation coarsen in the directions of [100] and [010] to form 〓-like structure, while those in [111] orientation do not exhibit any tendency of directional coarsening, growing isotropically only by capillary-driven style.

颗粒粗化方向及形态依赖于应力轴取向，[001]取向中的γ′颗粒沿[001]方向粗化成rod结构；[110]取向中的γ′颗粒沿[100]和[010]方向长大，形成'〓'结构；而[111]取向中的γ′颗粒没有表现出沿任何方向上的定向粗化趋势，只是以毛细驱动方式各相同性长大。

The findings revealed that the dominant Taiwanese students\' value orientations were: Collaterality for the relational orientation, Present for the time orientation, Mastery-over for the people/nature orientation, and Being for the activity orientation.

结果显示这些学生的主要价值倾向是：团队式的人际观，现在式的时间观，主宰式的自然观，以及静态式的活动观。

In Late Jurassic period (159-135Ma), when the orientation of maximum principal compressive stress was NW direction, the Wuzhangshan granite intruded to upward, accompanied the formation of NW trending Sanrenchang and Huangshuian breccia pipe belts; In the Early Cretaceous period (135-120Ma), when the orientation of maximum principal compressive stress was NNW trending, the second stage of Huashan granite intruded to upward, accompanied the formation of NW trending Qiyugou breccia pipe belts; In 120-105 Ma, when the orientation of maximum principal compressive stress changed to NE direction, the gold-bearing quartz veins and gold orebodies in breccia pipes were formed along the NE trending fractures; In the Middle Cretaceous period (105-85 Ma), when the orientation of maximum principal compressive stress was NEE, the NEE trending Leimengou granite porphyry intruded to upward, accompanied the formation of NEE trending Leimengou breccia pipe belts.

在晚侏罗世(159～135Ma)，构造应力场最大压应力方向为NW向，形成了NW走向的五丈山岩体以及NW向展布三人场、黄水庵两个角砾岩带；在白垩纪早期(135～120Ma)，最大压应力为NNW向，形成了花山岩体第二期上侵，并伴有NW向的祁雨沟角砾岩带；其后(120～100Ma)，构造应力场最大压应力方向变为NE向，形成了NE向含金石英脉及角砾岩体中金矿体；最后(100～80Ma)，形成了雷门沟花岗斑岩以及NEE向展布的雷门沟-杨河沟角砾岩带(区域构造应力场的最大主压应力方向为NEE向)。

In contrast to the ubiquitous rising-sun-with-rays military flag of the Japanese, Chinese banners and ensigns feature a range of designs.

与遍地都是的太阳军旗不同，中国人的旗帜和徽章设计得各式各样。

From their small corner of Feng's Guangzhou headquarters -- a jumble of pink leashes, squeezable rubber steaks, and plastic doggy Santas for Fido's stocking -- Soleil's designers come up with at least five new products a month.

从Feng 设在广州总部的产品展示柜台上可以看到，Soleil的设计师每月至少设计出5件新产品。