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After comparing the image effect of homomorphic filtering, the effect of median filtering with different templates and the effect of binarizing with improved OTSU, the experiment results show that V groove laser image in underwater welding is preprocessed very well through such serial processing steps as homomorphic filter strenghening, median filtering, binarizing with improved OTSU, and thinning.

通过比较同态滤波前后效果、比较不同模板下的中值滤波效果、以及Otsu法改进前后的效果，实验表明，对水下焊接V型焊接坡口激光图片依次进行同态滤波增强、中值滤波、改进Otsu二值化和腐蚀细化一系列图像处理，取得了效果较理想的预处理结果。

It introduces the concept of power semigroup, studies the relations between homomorphism and congruence of power semigroup and obtains some perfect results.

给出了幂半群的概念，研究了幂半群的同态与同余关系，讨论了它们之间的关系，并得到了一些理想的结果。

So the relations of homomorphism are key ideas in construction of categorical data types, however there are some functions that are not homomorphism in data types.

因此同态的关系是构造范畴数据类型关键，但是，在数据类型中有些操作并不是同态操作。

In brief,almost-homomorphism is more difficult than homomorphism on the operation of the elements of tuple,and it extends the application area of CDT translation.

总之，在元组元素的运算上几乎同态问题比同态问题更复杂些，并且它扩充了范畴数据类型变换的应用范围。

In this chapter, firstly, the definition of rough rings and its properties are given. Then the definition and properties of rough subrings, rough ideals and rough quotient rings are put forward and proved. Finally, homomorphism and isomorphism of rough rings is studied.

在这一章中，首先给出了粗糙环的定义及其性质，其次给出了粗糙子环、粗糙理想、粗糙商环的定义及其性质，最后研究了粗糙环的同态与同构。

By using congruences on a Clifford semigroup, we get that, in general, the operator is not a ∩-homomorphism.

利用Clifford半群上的同余刻画，得到了该运算不是一个∩-同态。

Whence, the homomorphism proof system from formulas in MU(1) is complete, and this proof system and the tree resolution proof system can be transformed mutually in polynomial time on the size of proof.

从而，由 MU(1)中的公式构成的同态证明系统是完备的，并且由 MU(1)中的公式构成的同态证明系统与树消解证明系统之间是多项式等价的。

Of, relating to, or exhibiting homoplasy.

同型的，相似的属于，关于或显示异体同功的

Of or belonging to the order Homoptera, which includes the cicadas, aphids, and scale insects, characterized by sucking mouthparts.

同翅目的属于同翅目的，其中包括以吸口器为特点的蝉，蜂虫和介壳虫

Based on a delay-dependent bounded real lemma, the condition under which a decentralized robust H(subscript ∞) output feedback controller exists is derived and it is available to be attributed to a solution to the problem of nonlinear matrix inequality which can be expressed in terms of a homotopy function properly selected. Then, with the homotopic iteration method and the Schur complement lemma introduced, the solution can be converted into an iterative solution to the linear matrix inequality.

基于一个时滞依赖有界实引理，将系统鲁棒分散H动态输出反馈控制器的解归结为一个非线性矩阵不等式的求解问题；选取适当的同伦函数来表示该非线性矩阵不等式，采用同伦迭代算法及Schur补引理，将求解非线性矩阵不等式转化为线性矩阵不等式的迭代求解问题。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。