半有限的

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。

By electromagnetic theory, for the case that the magnetic dipole source and the receiver are set in seawater, the general expressions of frequency_domain electromagnetic responses for a layered benthal model are deduced. From those, the transient response expressions of three common configurations—vertical magnetic dipole_dipole, central loop, and coincident loop, located on the surface of uniform half_space seafloor, are derived respectively, supposing that seawater is uniform half space, or its depth is finite.

根据电磁场理论，推导了磁偶源和接收点均位于海水中时层状海底模型的频域电磁场响应一般表达式，并通过此式，得到了海水为均匀半空间和有限海水深度两种情况下，垂直磁偶极装置、中心回线和重叠回线分别置于均匀半空间海底表面时的瞬变电磁响应表达式。

This paper studies semi-discrete finite difference methods of constant coefficient heat equations .

本文主要研究了常系数热传导方程的半离散有限差分方法。

First,we impose Dirichlet boundary conditions in stead of the semi-infinite domain in one space dimension.

首先，我们用有限区间来代替一维空间中的半无限区域。

Many sufficient and necessary conditions for a finite group to be solvable are given, which generalize some known results.

另一方面，我们研究了Sylow-子群的某些特殊子群的半覆盖远离性对有限群结构的影响，给出了一些有限群为p-幂零和超可解的充分条件。

A criterion theorem of having no finite coverings for a finitely generated module M over a semisimple ring R is given.

对半单环上有限生成左模给出一个无有限覆盖的判定定理。

In this section, we also give a conjecture: A finite lattice is isomorphic to the lattice of flats of a finite poset matroid if and only if it is a semi-modular lattice.

本节的一个中心问题是提出了一个猜想：一个有限格L同构于一个有限偏序集拟阵的闭集所构成的格当且仅当L是一个半模格。

On the one hand, we improve the mixed having and ternary method to express n from the standard non-singular elliptic curve with character 2. On the other hand, we improve the mixed binary and ternary method to express n from the standard elliptic curve with character more than 3 , and we generalize the mixed binary, ternary and quinary method to express n.

一方面从特征是2的有限域上的标准非奇异椭圆曲线的角度出发，改进了n的半点和三进制的形式；另一方面从特征大于3的有限域上的标准椭圆曲线的角度出发，改进了n的二进制和三进制的混合形式，并推广到n的二进制、三进制和五进制的混合形式。

Based on the surjection of maximal monotone operators, we prove that some semilinear heat equations with weak Lipschitz nonlinear terms are exactly controllable by L〓 0, T: H〓(Ω control; Based on the critical point theorem of coercive convex functionals, we prove that some parabolic equations with Lipschitz nonlinear terms are globally approximately controllable and finite-dimensional exactly controllable by controls acting on mobile supports, and finally, we extend the results to parabolic equations in R〓.

首先利用极大单调算子的满射原理证明了半线性热方程在较弱Lipschitz条件下可通过L〓0.T；H〓(Ω控制实现精确能控。然后通过构造强制凸泛函并利用其临界点理论证明了带Lipschitz非线性项的抛物型方程可通过作用在在移动支集上的控制来实现整体近似能控与有限维精确能控，最后将整体近似能控与有限维精确能控结论推广到无界区域R〓上。

Then the higher filtration intensity, productive capacity and the phosphorus recovery are obtained for the employment of filter aid in the filtration systems of the above-mentioned 2 sets of phosphoric acid facilities with dihydrated phosphogypsum process and 1 set with the dihydrated phosphogypsum section of semi-dihydrated phosphogypsum process, except the semi-hydrated phosphogypsum section.

云南红磷化工有限责任公司有3套磷酸装置，其二水磷酸过滤系统运行状况较差，除1套半水-二水磷酸装置在半水过滤系统不能使用助滤剂外，其它二水过滤系统使用助滤剂后，装置过滤强度，生产能力，磷收率均有较大提高，助滤剂年费用仅24万元，但增加产量的经济效益上千万元。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。