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Then, theoretically, mathematical morphology is stretched from complete lattices to complete semi-lattices and the adjunction of complete semi-lattices is studied. Some qualities of mathematical morphology on complete semi-lattices are discussed and supported. Two examples of difference semi-lattice and reference semi-lattices are also supplied.

然后在理论上，把数学形态学从完备格延伸到完备半格，研究了完备半格上的伴随，讨论并证明了完备半格上数学形态学的一些性质，列出了差分半格和参考半格两个例子。

At the same time, the Company has major brand compressor unit sales in the Xiamen area, such as: semi-closed Bitzer, Copeland semi-closed, semi-closure Winifred, Beifeng semi-closed, semi-Bingfeng closures, the United States and gifted musicians fully closed compressor.

本公司同时有各大品牌压缩机组在厦门地区销售，如：比泽尔半封、谷轮半封、雪梅半封、北峰半封、冰峰半封、美优乐全封闭压缩机组。

The main products the company has 9 tons to 55 ton all kinds of steeplechase semi-trailer, container transport vehicles and semi-trailer, tanker car (chemical liquid tank, glass steel tank, stainless steel tank) motor vehicles and bulk cement semi-trailer, concrete mixer truck, vehicle transport semi-trailer, Van semi-trailer vehicles and trailers, etc. and the whole 9 series of more than 80 varieties.

公司主要产品有9吨至55吨级各式栏板半挂车、集装箱运输汽车及半挂车、运油汽车(化工液体罐、玻璃钢罐、不锈钢罐)散装水泥汽车及半挂车、混凝土搅拌运输车、车辆运输半挂车、厢式汽车及半挂车和全挂车等9个系列80余个品种。

The simulation floating zone modelwith zero temperature gradient in the middle of the hot rod is proposed to simulate thehalf part of the full floating zone convection,since the temperature gradient in the middleof a full floating zone approaches zero.

根据加热方式的不同，可以将半浮区液桥分为通常半浮区液桥模型、模拟半浮区模型以及改型半浮区模型。通常半浮区液桥模型，液桥热端材料一般选择为金属材料，使得热端温度分布均匀。液桥产生热毛细对流时，在液桥热端内侧存在较大的轴向温度梯度。而在全浮区热毛细对流中，浮区中间的轴向温度梯度在对称条件下应该接近于零。

The third chapter introduces the notion of inductive *-semirings and weak inductive *-semirings. We give some basic properties of them and discuss the formal power series semirings.

第三章以归纳*-半环为重点，介绍了归纳*-半环及弱归纳*-半环的概念及基本性质，并讨论了归纳*-半环的形式幂级数半环。

D-galactoside galactohydrolase (EC3.2.1.23) is usually named lactase which can hydrolyze lactose into galactose and glucose, and also can transfer galactoside.

半乳糖苷酶(B-D-半乳糖苷半乳糖水解酶，β-D-galactoside galactohydrolase，EC3.2.1.23)通常被称为乳糖酶，能将乳糖水解为半乳糖和葡萄糖，并具有半乳糖苷的转移作用。

By introducing the general notion of nonwandering operator semigroup T and utilizing a basic result in normed linear space,the nonwandering property of T=e~ is investigated with the constructive method.

通过给出一般算子半群T的非游荡性概念，利用赋范空间的一个基本结果和直接的构造法证明了具有变系数的线性发展方程的强连续解半群T=etA在适当的条件下是非游荡的；另外，通过对C-半群T概念的引进，定义了一个无界算子半群etA，进一步证明了这二者关于非游荡性的联系；最后给出了一个无界算子半群etP关于非游荡性理论的刻画，其中P是微分多项式。

Firstly we introduce the concept of Rees matrix semigroups without zero i.e.

矩形群、左群都是极其重要的半群，在Mario[2]中这两种半群都已有了很好的刻画，本文后两章将给出推广了的矩形群和左群的详细刻画，全文共分三章，具体内容如下：第一章主要对推广之后Rees矩阵半群的刻画进行了描述，在这一章里先介绍了无零Rees矩阵半群的概念，它是一类矩阵半群M=MT；I，？

By using properties of quasi-regular semigroups and left central idempotents, some statements are proved. Let S be a quasi-right semigroup, then (1) S is a quasi-completely regular semigroup;(2) RegS is a completely regular semigroup;(3) R(superscript *) is the smallest semilattice congruence on S;(4) Each R-class T(subscript α) on RegS is a right group;(5) T(subscript α)G(subscript α)×E(subscript α), where G(subscript α) is a group, E(subscript α) is a right zero semigroup.

利用拟正则半群和左中心幂等元的性质，证明了S为拟右半群时，(1) S为拟完全正则半群；(2) RegS为完全正则半群；(3) R为S上的最小半格同余；(4) RegS上的每个R-类T为右群；(5) TG×E，其中G为群，E为右零半群。

The head is slowly turned 90° toward the side where nystagmus is induced less intensely. Then the head is rotated 180° rapidly toward the opposite side. This article reports three cases of the ageotropic form of HC-BPPV that were cured by rapid head rotation. The three cases demonstrated that rapid head rotation was an effective maneuver to treat cupulolithiasis on the utricle side. It is recommended that rapid head rotation can be used for therapeutic diagnosis: If nystagmus subsides immediately after this maneuver, the diagnosis is cupulolithias is on utricle side. If nystagmus changes into the geotropic form, the diagnosis is cupulolithiasis on canal side or canalolithiasis in the anterior arm of horizontal semicircular canal. A repositioning maneuver for geotropic form can then be applied to treat these patients.

逆地眼振型水平半规管良性阵发位置性眩晕的3种耳石可能位置如下：水平半规管前臂的管耳石、管侧的顶帽沉石(canal side cupulo-lithias1s)与囊侧的顶帽沉石，本文报告3例以快速转头治疗逆地眼振型水平半规管良性阵发位置性眩晕成功的病例，显示快速转头法对囊侧的顶帽沉石具迅速有效的治疗效果，对於逆地眼振型水平半规管良性阵发位置性眩晕的治疗，作者建议先以快速转头作治疗性诊断，若病人马上复原，诊断为囊侧的顶帽沉石；若眼振转为向地型，则诊断为水平半规管前臂的管耳石或管侧的顶帽沉石，进一步再以向地型的耳石复位法治疗病人。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。