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The Maschke's Theorem of group algebras is well known, and [Mo2] gives us a version of Maschke's and Dual Maschke's Theorem of finite-dimensional Hopf algebras.

半格分次弱Hopf代数是弱Hopf代数的一类特殊情况，而且又是Hopf代数的一种推广，在第1.3节中，我们将会给出半格分次弱Hopf代数的Maschke和对偶Maschke定理的结论及其应用。

Wanka studied two kinds of dualproblem in finite dimensional space, namely, an extended Fenchel type and Fenchel-Lagrange dual based on the conjugate theorem in convex optimization problem.

Wanka利用有限维空间中凸优化问题的共轭理论，研究了两类对偶问题，即广义Fenchel对偶问题和Fenchel-Lagrange对偶问题，后者是经典Fenchel和Lagrange对偶问题的组合，二者都是在扰动理论基础上产生的，还提出了一个约束条件保证其凸优化问题中强对偶成立。

Semilattice graded weak Hopf algebra is a special case of weak Hopf algebra and a generalization of Hopf algebras, in Section 1.3, we will give results and applications to the Maschke's and Dual Maschke's Theorem of semilattice graded weak Hopf algebra.

尽管有限Clifford幺半群的量子偶确实是有限群量子偶的一个推广，但是[L2]中的量子偶一般情况下是不能够看作是Hopf代数量子偶的一个推广，这是因为我们在[L2]中要求所有讨论的弱Hopf代数都是交换的。

When connected to a suitable dual trace oscilloscope the display shows in real time the valve, cylinder and injector activity in any two or four stroke, gasoline or diesel internal combustion engine.

当把该传感器连接到合适的双通道示波器时，可以显示任何发动机实时的气门，汽缸和喷油嘴活动。

The topology of two-stage matrix converter given based on the concept of fictitious DC link of matrix converter and dual space vector modulation strategy of TSMC was studied.

在矩阵变换器虚拟直流环节的思想上，给出了双级矩阵变换器的电路拓扑，仿真研究了双级矩阵变换器的双空间矢量调制策略。

It's a dual-purpose piano.

它是两用的。

In the beginning of this paper, introduced a general test system of dual-purpose stove, and analyzed the structure of this system.

本文首先研究了两用炉测试系统，对系统结构进行了设计分析。

There are wool * breeds and meat sheep and dual-purpose sheep which can be used for wool or food .

有产羊毛的羊和肉用绵羊和可用于羊毛或食物双重用途的绵羊。

This dual-purpose entity bean may have one or more entity beans with local interfaces behind it.

这种具有双重用途的实体豆可能有一个或一个以上实体豆类与地方界面背后。

There are wool breeds and meat sheep and dual-purpose sheep which can be used for wool or food.

有羊毛类绵羊，肉食绵羊和双重目的的绵羊，他们被用作羊毛和食用。

This immediately brings us to the next part of this article: creating an output "replace function".

下面进入文章的第二部分：建立一个"缓存处理函数"。

He was elected as an International Ornithological Committee member in 2002 during the 24th IOC held in Beijing.

现为中国鸟类学会理事和WPA 专家组成员。2002年被推选为国际鸟类委员会委员。