非交换的

Suppose G is a finite group, then QG is a semisimple Q-algera, obviously ZG is a Z-order of QG,we denote the maximal Z-order by ?.If G is not abelian, it is not an easy thing to determine г; if G is an abelian group, then QG is isomorphic to the direct sum of a finite number of number fields, and r is the direct sum of these rings of algebraic integers of those number fields, but which elements of QG belong to r is not clear.

设G是一个有限群，那么QG是一个半单代数，ZG是QG的一个Z-序，设Γ是QG的一个极大Z-序，当G是一个非交换群时，Γ的求解是困难的问题；当G是一个交换群时，QG同构于有限多个数域的直和，Γ相应的就是各数域代数整数环的直和，但Γ具体是QG中那些元素不清楚。

In particular, when thereis an alternating group A_5 action on a Spin 4-manifold X, we obtain: If X is smooth Spin4-manifold with non-positive signature and b_1=0, denote k=-σ/16 and m=b_2~+,then 2k+3≤m if b_2~++b_2~+≠2b_2~+(Z/A_5) and b_2~+≠0,where and are subgroups of A_5 generated by the elements s=∈A_5and t=∈A_5 respectively.

特别地，在Spin 4-流形具有非交换群A_5作用时，我们得到了：若X为光滑的具有非正符号差的Spin 4-流形，b_1=0，令k=-σ／16，m=b_2~+，如果X上具有Spin交错群A_5作用，且满足b_2~++b_2~+≠2b_2~+(X／A_5)，b_2~+≠0，则2k+3≤m，其中和分别为s=∈A_5和t=∈A_5生成的A_5的子群。

We study noncommutitive harmonic analysis on semigroups in first part.

第一部分我们研究半群上的非交换调和分析。

In this paper the transfer function of noulinear control system is defined over a noncommutative polynomial ring, which can be extended into its quotient ring by Ore Theorem.

本文定义了非线控制系统的传递函数，这种传递函数定义在由一个非交换多项式环扩张而成的商环上用传递函数描述了非线性控制系统的三种基本联接：串联、并联与反馈。

It is concluded that two factors (convection evaporation and solvent/nonsolvent exchange rate) are important in controlling membrane morphology for gas separation.

结果表明，对流蒸发和凝胶过程溶剂/非溶剂的交换速率对形成非对称结构的高渗透性能气体分离膜有着重要的影响。

We showed that in noncommutative case, orthonormal base vectors can be chosen to be unitary operators of any fix order.

我们证明了，在非交换条件下，能够选择标准正交基向量成为任何固定序的酉算子。

Twenty-five representative plower depth soil samples from 12 Provinces,Municipalities and Autonomous regions in major agricultural regions in northern Chinawere selected. Soil native potassium exists in 5 forms, namely water soluble K, non-specifically adsorbed K, specifically adsorbed K, non-exchangeable K and mineral K.

从北方12个省选取了25个有代表性的土壤样品，将土壤中的钾按其存在形态计为水溶性钾、非特殊吸附钾、特殊吸附钾、非交换性钾和矿物钾。

In chaper 2, first we prove that the simple associative algebras A are noncommutative domains.

在本文的第二章，我们首先证明单结合代数A为非交换整环。

Eighty percent of the potassium taken up by cotton was from nonexchangeable potassium of the soil.Both the pot and the field experiment showed a same result that the content of soil nonexchangeable potassium will no longer decrease when it reached a certain level,while nonextractable potassium with 1 mol/L HNO3 will continue to decline.

棉花吸收的钾素中有80%来自于土壤非交换性钾，盆栽生物耗竭与连续种植10年棉花的田间土壤，具有相同的结果，土壤交换性钾在下降到一定程度后不再下降，而1mol/LHNO3不能提取的钾一直在下降。

Items of pH, soil solution K, exchangeable k, nonexchangeable K and potassium fixation index were all determined after incubation. The results indicated similar extent and trends of transformation among three K forms, that is, decreasing content of soil solution K and exchangeable K but increasing nonexchangeable K level were observed in both CaCO3 and SrCO3 treatments of two soils. As to CaCl2.2H2O addition, pH increase was not found and the change of three K forms was not significant when application rate raised.

结果显示CaCO3的添加，除能提升土壤pH值外，亦能使土壤中三种型态钾(溶液性钾，交换性钾，非交换性钾)有显著的改变，且改变程度及趋势均甚为相似，而CaCl2.2H2O的添加不会造成土壤pH的改变，且三种型态钾并不随CaCl2.2H2O用量的增加而有显著改变的现象。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。