模态的

Schauengurg[2] considered more general case and found necessary and sufficient conditions for the cosmash product coalgebra H Q to be a Hopf algebra with a Hopf subalgebra H and a weak projection !

Schauenburg在文献[2]中把Radford的研究加以推广，给出了使余smash积HQ为Hopf代数，H为HQ的子Hopf代数，且具有弱投射π：HQ→H(即π是左模余代数同态，且π|_H=id_H)的等价条件。

Finally, sufficient and necessary conditions for endomorphism rings of some special modules to be semi-π-regular are given.

最后，我们对半π正则环作了一定的研究，给出了一个直投射模的自同态环是半π正则环的充要条件。

We give a theorem for the stable range of endomorphism rings of finitely generated projective modules over a formal triangular matrix ring T when T is an exchange ring.

2.6节对有有限exchange性质的形式三角矩阵环T给出了有限生成投射T-模的自同态环有稳定度n的一个具体关系。

Finally, it is proved that any semimodule over complemented semirings must have a ζ_s-injective hull and the complemented semiring must be the rPP semiring and the endomorphism semiring of every principal right ideal is still complemented semiring.

最后指出任一可补半环上的半模必存在内射包络、可补半环必是rPP半环且对于可补半环的任一主右理想的自同态集仍是可补半环。

The equivalent form for the PI regulator in stationary form is deduced and a resonant link is proposed.

最后分析了旋转坐标系下能实现稳态无静养的比例积分器在静止坐标系下的等效形式，提出包含单次谐波内模的谐振控制器。

The morphological structure changes from spherocrystals to shish -kebab and fibrous structure, which is given credits for its excellent properties.

自增强改变了HDPE的聚态结构，由原来的球晶变为串晶或纤维结构，使HDPE的强度提高5倍以上，模量提高4倍以上。

If T is not continuous, even if T is a upper semicontinuous triangular norm, it is showed by examples that there exist fuzzy dynamic systems formed by eq(1), which have unstable equilibriums.

以实例说明了即使三角模T是上半连续的，也存在形如(1)的模糊离散动力系统，使其某个平衡态在Lyapunov意义下不稳定。

The former can provides a shorter path and least action to reach the desired equilibrium point; and the latter proposes a class of linear sliding-mode, which not only guarantees global nonsingular but also uncouples the original control system.

改进的PID控制律保证了闭环系统能够沿最短路径趋于稳态值；解耦变结构控制律直接针对完整的四元数设计一类线性滑模，从而避免了奇异问题，而且对原控制系统解耦。

The steady and 1st order velocity dependent vector solutions of forces for two level atom are obtained. The solutions are applied to TEM01 laser beam and analysis shows that it exists vortex force acting on the atom.

推导了两能级原子在稳态和小速度一阶微扰近似下的受力矢量方程，并分析表明TEM*01模光场对原子的作用力中存在旋涡力。

The paper describes cold modeling of a rotating bladed wheel type pulverized coal classifier and particularly discusses its performance test.

该文叙述了叶轮式旋转煤粉分离器的冷态模化试验，着重阐述了旋转分离器的分离特性试验。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。