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150 Chapter 1 The History and Future of Computers 3.2 Boolean Algebra Table 3-2 Distributivity Idempotency Absorption laws 分配律同一律吸收律 a=ab+ac a+= a+a=a aa=a a+ab=a a=a'=a'b''=a'+b' DeMorgan's laws德摩根定理计算机专业英语 1-151 Chapter 1 The History and Future of Computers 3.2 Boolean Algebra Since a finite set of n elements has exactly 2n subsets, and it can be shown that the finite Boolean algebras are precisely the finite set algebras, each finite Boolean algebra consists of exactly 2n elements for some integer n.

由于n个元素的有限集有且只有个子集由于个元素的有限集有且只有2n个子集，而且很显然有限布个元素的有限集有且只有个子集，尔代数一定是有限集合代数，所以对某个整数n而言而言，尔代数一定是有限集合代数，所以对某个整数而言，每个有限布尔代数也有且只有2n个元素。例如，上文定义的集合T的限布尔代数也有且只有个元素。

31 Chapter 3 Number Systems and Boolean Algebra 3.2 Boolean Algebra Table 3-2 Distributivity Idempotency Absorption laws 分配律同一律吸收律 a=ab+ac a+= a+a=a aa=a a+ab=a a=a'=a'b''=a'+b' DeMorgan's laws德摩根定理计算机专业英语 3-32 Chapter 3 Number Systems and Boolean Algebra 3.2 Boolean Algebra Since a finite set of n elements has exactly 2n subsets, and it can be shown that the finite Boolean algebras are precisely the finite set algebras, each finite Boolean algebra consists of exactly 2n elements for some integer n.

由于n个元素的有限集有且只有个子集由于个元素的有限集有且只有2n个子集，而且很显然有限布个元素的有限集有且只有个子集，尔代数一定是有限集合代数，所以对某个整数n而言而言，尔代数一定是有限集合代数，所以对某个整数而言，每个有限布尔代数也有且只有2n个元素。例如，上文定义的集合T的限布尔代数也有且只有个元素。

The main work can be summed up as follows: Firstly, we studied the thermal-field properties of VCSELs, and analyzed the influences of current spreading, material parameters and operating conditions on the temperature distributions. Secondly, we began with the electrode voltage and calculated the equipotential s distributions, compared the distributions of voltages and current densities in different depths of VCSELs, and then studied the influences of the oxide-confining region with different position or thickness, and the different sizes of the gain-guided aperture and emitting window on the distributions of the injected current density, carrier concentration and temperature in the active region. Thirdly, we realized the coupling of electricity, optical and thermal-fields, worked out the threshold voltage, calculated the distributions of the injected current density, carrier concentration and temperature under different offset voltages, and analyzed the impacts of temperature profile and carrier density on the refractive index, Fermi levels and optical-field. Finally, we gave the equipotential line distributions with considering N-DBR and double oxidized-confining regions, and analyzed theinfluences of N-DBR and double oxide-confining regions on the distributions of the current density, carrier concentration, temperature and optical-field.

具体工作可以概括如下：首先，研究了VCSEL的热场特性，分析了电流扩展，材料参数和工作条件对于温度分布的影响；其次，从电极电压入手，计算出激光器中的等势线分布，并对不同深度处的电压和电流分布进行比较，研究了高阻区的不同位置和不同厚度、限制层和出射窗口半径的大小对电流密度、载流子浓度和温度分布的影响；再次，实现了电、光、热耦合，求出了阈值电压，计算了不同偏置电压下的电流密度分布、载流子浓度分布和热场分布，分析了温度和载流子浓度变化对折射率、费米能级和光场的影响；最后，给出了考虑N-DBR和双氧化限制层时激光器中的等势线分布，分析了N-DBR和双氧化限制层对VCSEL电流密度、载流子浓度、温度和光场分布的影响。

In Chapter Ⅱ, we introduce a Suslin s famous result: when n≥3, the elementary group of general linear group of rank n is a normal subgroup.

第二章介绍了Suslin给出的一个著名结果：当n≥3且系数环为可换环，则n阶一般线性群的基本子群是正规子群。

N\n The Illyrian army is a synthesis of Greek, Thracian and Gallic warfare - employing traditional hoplites, warbands, light and heavy cavalry as well as the world's finest infantry skirmishers and peltasts.

n\n伊利里亚的军队是一个希腊，色雷斯和高卢的结合体－他们招募传统的重装枪兵，军团士兵，轻重骑兵以及世界上最好突袭者步兵和轻盾兵。

This paper considers weighted estimate s of polynomial operator spectra by using the methods of integral,Rayleigh theorem and Schwartz inequality and establishes the inequality of upper bound of the(n+1) spectrum by depending on the former n spectra and the estimated coefficient is independent of the measure of the domain.

考虑多项式算子谱的带权估计，利用分部积分、Rayleigh定理、Schwartz不等式等方法，建立了用前n个谱来估计第n+1个谱的上界的不等式，且其估计系数与区域度量无关。

The EAE rats were induced by injecting subcutaneously an emulsion of GPSCH and CFA. In addition, each rat received an intracutaneous injection of pertussis. Albumin in serum and CSF samples was examined on the days of 4,6,8,10,12,14,16,18 and 20 p.i.. The integrity of BBB was assessed by caculating CSF to serum albumin quotient. At the same time the brains, spinal cords, thymus and inguinal lymph nodes were removed for paraffin sections cutting. These sections were used for HE staining and ICAM-1 semiquantitative immunohistochemical staining. The results showed as follows:1. None of EAE rats on days 4,6 and 8 p.i. showed clinical signs whichbecame apparent on day 10 p.i.(2.33±0.76; n=6). On days 12 and 14 p.i.

检测p.i。第4天、6天、8天、10天、12天、14天、16天、18天、20天血清和CSF中ALB含量，其CSF／S ALB比值作为评价BBB损害的指标；同时段取动物脑、脊髓、胸腺和腹股沟淋巴结制成石蜡切片行HE染色和ICAM-1半定量免疫组化分析，结果显示如下： 1、EAE大鼠p.i.4-8天无任何临床表现；p.i.10天症状开始明显，症状评分为2.33±0.76(n=6)；p.i.12-14天为发病高峰期，症状评分为3.75±0.54(n=12)，病情由最初的活动减少，体重减轻逐渐发展为肢体无力、瘫痪，共济失调，甚至濒死状态；p.i.16天大部分动物症状开始缓解，评分为2.08±0.66(n=6)；p.i.20天疾病症状完全消失。

Formally: Given a finite subset S N , let mex S be the smallest natural number not in S

形式上：给定一个有限子集 S N ，令mex S为没有出现在S中的最小自然数

Using the estimates of character sums over Galois rings and the trace de scription of primitive sequences over Zpe, we obtain an estimate for the frequency of the occurrences of any element in Zpe in one period of a primitive sequence, which is better than Kuzmin's results[1] if n ＞ 4e, where n is the degree of the generating polynomial of the primitive sequence.

范淑琴 ，韩文报文研究了Zpe上本原序列的元素分布。利用Ga，lois环上的指数和估计和本原序列的迹表示，得到了Zpe中各元素在本原序列的一个周期中出现频率的一个估计。当n＞4e时(n为本原序列生成多项式的次数)。我们的估计优于Kuzmin的结果[1]。

The N-alkylation of N-monosubstituted sulfonamide s with alkyl halides promoted by KF using ionic liquids as reaction media was reported in this paper.

报道了KF作用下离子液体介质中N-单取代磺酰胺和卤代烃的N-烷基化反应，考察了4种不同结构的离子液体BF4、BF4和PF6对反应的影响。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。