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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。

Therefore, it is necessary to study these parallel problems. For the linear register systems, this paper presents a (1, N) parallel method with uniform calculating formulas by using the method of matrix equations, and studies to simplify XOR circuits. Comparing with the existing parallel methods for linear shift registers, this method for linear register systems doesn't need to expand the transition matrix, and has the same calculations for arbitrary N, which reduces the complexity.

对一般的线性寄存器系统，本文应用向量矩阵方程的研究方法提出了一种通用的、具有统一计算公式的(1， N)并行方法，研究了其中异或电路的化简，相对于已有的线性移位寄存器的并行方法而言，本文提出的方法不需要扩展矩阵，对任意的N计算公式均是统一的形式，减少了问题复杂性，具有更广泛的应用范围。

Firstly, an inverse eigenvalue problem for Jacobi matrices is presented: we could construct the Jacobi matrix T if we know the spectral data: the eigenvalues of T and the eigenvalues of T_1 and of T_2, where T_1 is different to the k × k leading principal submatrix of T only at the position, while T_2 is different to the × remain submatrix only at the (1, 1) position.

首先给出的是一类Jacobi阵的逆特征值问题，即给定三组实数：一组是Jacobi阵的n个特征值，一组是只修改了最后一个对角元的它的前k阶顺序主子阵的特征值，最后一组是修改了第一个对角元的后n—k阶余子阵的特征值，用这些给定的特征值来确定相应的Jacobi矩阵。

Their thermotropic phase behavior was investigated by differential scanning calorimetry and POM. It was found that T(subscript S-N) w and T(subscript N-I), of PMMAZO was slightly increased with the increased of the mass ratio of liquid crystal block segments. PEO and PMMA block affected the liquid cystal behavior of PMMAZO. Meanwhile, PMMA and PMMAZO obviously influenced the crystals property of PEO segments3 which was decreased as the increase of molecular weight of PMMA and PMMAZO segments.

以差示扫描量热仪和偏光显徽镜研究了ABC三嵌段共聚物PEO-b-PMMA-b-PMMAZO的热力学相转变行为，发现随着PMMAZO链段的质量百分比的增加，三嵌段共聚物中PMMAZO链段的T和T逐渐提高；同时，PMMA和PMMAZO链段的长短影响PEO链段的结晶性，随着液晶段PMMAZO和PMMA链段分子量的增加，PEO链段的结晶性减弱。

The comparisons were made of amplitudes of the postsynaptic potential evoked in AP cells by stimulation of P and N cells.

采用同样的技术，分别对T、P和N细胞与邻节的AP细胞的突触连接方式进行了研究。T、P和N细胞与邻节的AP细胞的突触连接都是电突触。

2Soil column leachate experiment shows, soil texture and soil section form are the main factors affecting the nitrate leaching; in soil organic fertilizer produce a nitrate leaching process, during five-month experiment, nitrate content has be increasing in leakage solution, organic fertilizer applying decrease the pH and increase the electric conduction of leakage solution, there is positive action between nitrate content in leakage solution and electric conduction, which shows that nitrate-N accumulation during organic fertilizer applying is one of the main factors for soil salification; for decrease the leaching of the nitrate-N in soil, in sandy moisture soil the best amount of organic fertilizer should be 7.5～ 15 t·hm~(-2), in Loamy moisture

在小麦-玉米轮作体系上投入化肥氮300kg·hm~(-2)N和有机肥22.3t·hm~(-2)折N261.2kg·hm~(-2，能使农田氮素收支达到平衡，在兼顾环境效益的基础上获得了较高的产量效益。并通过肥料效应函数和硝态氮累积效应函数进一步预测最佳施肥组合，即化肥氮施用量为N226.5kg·hm~(-2)，有机肥用量为39.9t·hm~(-2)折N466.8kg·hm~(-2，其中小麦季施化肥氮105.85kg·hm~(-2)N、有机肥30t·hm~(-2)折N351kg·hm~(-2，玉米季施化肥氮120kg·hm~(-2)N，有机肥9.9t·hm~(-2)折N115.8kg·hm~(-2。同时，磷素平衡分析表明，在施用有机肥的基础之上，化学磷肥的施用量应适量的减少或不施。

It is assumed here that ∑ is the same n-dimensional state space at all t ∈T .

如果状态空间的维数发生变化需要使用符号表示，对于 t ∈ T 系统的维数都是 n 维。

It is ∑ is the same n-dimensional state space at all t ∈ T .

这里假设这里∑表示，对于 t ∈ T 系统的维数都是 n 维。

To investigate the methods to effectively and simply assess the CAG repeat size of HD gene which was necessary for gene diagnosis of Huntington disease, the sequence including polymorphic CAG repeat of HD gene was amplified by PCR with TaKaRa LA Taq DNA polymerase and GC buffer. PCR products were analyzed on polyacrylamide gel to distinguish normal alleles from HD alleles. The DNA fragments of affected alleles were recovered from polyacrylamide gel as templets for secondary PCR. The secondary PCR products were cloned into T vector for sequencing analysis to determine CAG repeat size. A total of 20 normal individuals and 3 members from a HD pedigree were included in this study.

为了简单高效检测HD基因开放阅读框5'端n三核苷酸重复序列，建立快速准确的亨廷顿病(Huntington disease， HD)基因诊断方法，应用TaKaRa LA Taq DNA聚合酶配合GC buffer扩增HD基因包含n重复序列的目的片段，非变性聚丙烯酰胺凝胶电泳检测后回收n拷贝数异常增多的目的片段，再次PCR扩增后将产物连接至T载体，进行DNA测序确定CAG的拷贝数。

What are your goals and strategies for growth?

你的成长目标和策略是什么？

And unto the angel of the church in Sardis write; These things saith he that hath the seven irits of God, and the seven star I know thy works, that thou hast a name that thou livest, and art dead.

3：1 你要写信给撒狄教会的使者，说，那有神的七灵和七星的，说，我知道你的行为，按名你是活的，其实是死的。