可约表示

By defining restricted representation,we get the necessary andsufficient condition for all restricted representations of a restricted Liesuperalgebra to be completely reducible.

最后，通过定义限制表示，得到了一个限制李超代数的所有限制表示是完全可约的充要条件。

As two important tools, the weight space decomposition of modules of a nilpotent Lie algebra (Section 1) and irreducible finite dimensional representations of solvable Lie superalgebras (Section 2.3) are presented in detail.

讨论过程中，作为两个重要的工具，对幂零李代数其模的权空间分解(第1节)，以及可解李超代数的有限维不可约表示(第2.3节)也作了详细的介绍。

It is estimated that up to sixty percent of the world's money may be located offshore, where half of all financial transactions are said to take place; however, there is a perception that secrecy about offshore is encouraged to obfuscate tax evasion and money laundering.

据估计，到目前为止，世界上60 ％的钱，可设境外，如果有一半的所有金融交易都表示，采取地方，但也有一种看法认为，保密离岸约是鼓励，以模糊逃税和洗钱。

Henry Yeung, Assistant Attending Physician at New York's Memorial Sloan-Kettering Cancer Centre, a combined PET/CT scan can also reduce the length of time patients have to spend on undetaking multiple procedures.

美国约斯隆/凯德琳癌症研究中心临床助理医生杨永定表示， PET/CT二合一扫描得出的合成分析影像，可减省病人以前需要反复接受扫描的次数及时间。

In this paper, we mainly study representations of strong semisimple n-Lie algebras, prove that a representation of a strong semisimple n-Lie algebra is a representation of the reductive Lie algebra LP, and the relative properties.

本文主要研究了强半单的n-李代数的表示，证明了强半单的n-李代数的表示可转化为一个约化李代数Lρ的表示，并证明了不变线性形等其它相关性质。

This dissertation studies some topics in soliton and integrable system,which mainly include as follows:exact solutions especially travelling wave solu-tions and solitary wave solutions,Painlevēproperty,transformation,similarity reduction,symmetries and their Lie algebra structure,generation ofsoliton hierarchy and their zero curvature representation,Hamiltonian struc-ture,Lax or Liouville integrability,nonlinearization of Lax pairs,applications ofWu's method and symbolic computation.

本文研究内容涉及到孤立子和可积系统的多个方面：精确解特别是行波解和孤波解，Painlevē性质、变换、相似约化、对称及其Lie代数结构、孤子族的生成及其零曲率表示，Hamilton结构，Lax和Liouville可积性、Lax组的非线性化以及吴方法和符号计算在上述研究中的应用。

The concept of hydrogen fuel cells was invented in 1839 by Sir William Grove. BOC's director of sustainable energy, John Carolin, said:"The lessons from this and other projects will show that hydrogen fuel cell-powered vehicles could be a practical, attractive and a viable economic alternative to diesel- or petrol-fuelled vehicles."

BOC公司可再生能源部的主管约翰·卡罗林表示，&通过这辆汽车及其它同类项目所得到的经验将会告诉世人，将氢燃料电池做为汽车的动力来源这一想法是可以变为现实且颇具吸引力的，从经济角度来看，这种车也完全可以替代那些以汽油或柴油做动力的汽车&。

Temperature and solar radiation were less favorable during the whole growing period of taro leaf when transplanting in July to September. The corm dry weight at harvest CDW(subscript HV was linear related to maximum value of LAI LAI(subscript x and cumulative LAI reached 4000℃(CLAI4000). One unit change in LAI resulted in a change of 68g in CDW. One unit change in CLAI4000 resulted in a change of 24g in CDW.

最大LAI值LAI(下标 x及温度总和达4000℃时之累积LAI(CLAI4000)对收获球茎乾物重CDW(下标 HV之影响均呈极显著的直线关系，表示LAI增加速率及最大值愈大，球茎产量则愈高；当LAI提高1单位时，CDW可增加约68公克；当CLAI4000提高1单位时，CDW可增加约24公克。

Temperature and solar radiation were less favorable during the whole growing period of taro leaf when transplanting in July to September. The corm dry weight at harvest CDW(subscript HV was linear related to maximum value of LAI LAI(subscript x and cumulative LAI reached 4000℃(CLAI4000). One unit change in LAI resulted in a change of 68g in CDW. One unit change in CLAI4000 resulted in a change of 24g in CDW.

最大LAI值LAI(下標 x及温度总和达4000℃时之累积LAI(CLAI4000)对收穫球茎乾物重CDW(下標 HV之影响均呈极显著的直线关係，表示LAI增加速率及最大值愈大，球茎產量则愈高；当LAI提高1单位时，CDW可增加约68公克；当CLAI4000提高1单位时，CDW可增加约24公克。

It is a common problem tocombine the eigenfunctions for the system with a given symmetric group-into thesymmetrical adapted bases,belonging to the irreducible representations ofthe group.

我们知道，一个具有给定对称性的哈密顿量的本征态可按对称群的不可约表示组合成对称基。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。