基本域

A p orbital with one fundamental unit of angular momentum,{Planck constant}, is shaped somewhat like a dumbbell ({Planck constant} is Planck's constant, h, divided by 2p).

s轨道角动量为0，轨域为球形。p轨道有1个角动量基本单位，轨域为哑铃状(为普朗克常数除以2π)。

By using of complex variable and integral equation methods, the antiplane multiple elliptical holes and multiple cracks problem of infinite region was considered in the paper.

在覆盖域的概念基础上，建立了椭圆孔边受单位集中力的反平面剪切问题的基本解，解决了无限域中含任意个椭圆孔和裂纹的反平面问题。

The results show that all the hmgr genes from pigs, cattle and chickens are astable enzyme proteins with the same gene sequence characteristics and encoding protein and physical and chemical properties; all the amino acid sequences have a high degree of homology, containing two conservative HMG-CoA binding motifs and two NADPH binding motifs; all the amino acid sequences, containing signal peptide, are secreted proteins; they are all hydrophobic transmembrane proteins with five transmembrane domains; random coil and α-helix are the main structural elements in the HMGR polypeptide chain; all the predictions of three-dimensional structure are V- shaped; there are more closer evolution relationship between the HMGR gene from pigs and cattle.

结果表明：猪、牛和鸡HMGR基因序列特点及编码蛋白质理化性质基本相同，均属不稳定类酶蛋白；保守结构域氨基酸序列具有高度的同源性，均含有保守的2个β-羟基-β-甲基戊二酸单酰辅酶A结合基序和2个还原性烟酰胺腺嘌呤二核苷酸结合基序；均有信号肽，属分泌型蛋白质；属于跨膜的疏水性蛋白，均有5个跨膜结构域；无规则卷曲和α-螺旋是HMGR多肽链中的主要结构元件；三维结构预测都呈"V"字形；猪和牛HMGR基因的进化关系最近。

In this thesis, we first discuss the algorithms of arithmetic operations over binary fields using a polynomial basis representation.

本文首先讨论了有限域上基本算术运算的算法，对有限域上的椭圆曲线理论进行了研究，分析了椭圆曲线上的核心算法——数乘算法。

In this paper, after the introduction of the basic concepts and the main results on K〓 theory, relative K〓 theory and the theory of classical groups of degree 2 which is related to K〓 theory, we study the problems of the computation of K〓 for the ring of integers of quadratic imaginary fields, examples of subrings of quadratic fields which are not universal for GE〓 and generating set of the Cokernel of the canonical homomorphism from K〓 to K〓.

本文在介绍了K〓理论和相对K〓理论以及与K〓理论有关的2阶典型群的基本概念及主要成果之后，对于虚二次域代数整环的K〓群的计算，非GE〓泛的虚二次域的子环以及K〓到K〓的自然同态的余核的生成元集等问题进行了研究。

This paper proposes the generalized design method for the perfect reconstruction filter banks in the FRFD based on the FRFD analysis of sampling rate conversion and the fractional convolution theorem, which are the basis of the applications of filter bank theory in the FRFD.

本文从分数阶傅里叶域多抽样率信号处理基本理论和分数阶卷积定理出发，推导出了分数阶傅里叶域准确重建滤波器组的一般化设计方法，为分数阶傅里叶域滤波器组理论在实际工程中的推广应用奠定了理论基础。

Methods In the first place,the mathematical model of the dynamical response of viscoelastic thin plates is established in physical space,then the fundamental equation in Laplace domain is obtained by using Laplace transformation.

首先在物理空间建立了粘弹性薄板动力响应问题的数学模型，然后利用拉普拉斯变换得到拉氏变换域的基本方程；利用基本方程的基本解，由边界元方法得到边界积分方程，并求得数值解；最后通过数值 Laplace 逆变换得到原问题的解。

We give a new definition of the so-called ordered field which is equivalent to the traditional one, and derive a series of the basic propositions with this new definition.

我们给出一个与传统的全序域定义等价的全序域定义，并由此推导出一系列关于全序域的基本命题。

This paper first analyses and summarizes the ststus quo and evolution trend of encryption, some common used cryptograph are introduced, including the algorithms used in symmetric cryptosystem and asymmetirc cryptosystem. We describe the theory of each algorithms and compare the elliptic curve cryptosystem with the other two asymmetric cryptosystems to show the advantages of this algorithm. Second, the principle of ECC is discussed, including the math foundation of ECC, basic conception of elliptic curves, constructiong idea of ECC, operation on the elliptic curve and so on. Third, the current attacks of ECC were analyzed deeply, and an algorithm based on limited prime number field was constructed. We analyzed its realizability in theory, and implement it by using certain function of MIRACL software package. Latter half in this paper, the implementation model of a simple elliptic curve encryption system which based on GF has been introduced. The paper also put a deep analysis on the algorithm of point addition and point multiplication.

本文首先对密码技术的发展现状及其发展趋势进行了分析和综述，详细的介绍了私钥密码系统和公钥密码系统的发展，说明各种算法的原理和优缺点，并给出了一些典型的密码体制的简要分析，重点将椭圆曲线算法与其它几种公钥密码算法比较，说明椭圆曲线算法的优势；其次，探讨了椭圆曲线密码体制的原理，包括椭圆曲线密码的数学基础、基本概念、椭圆曲线密码体制的构造思想等问题；第三作者对椭圆曲线的攻击现状作了详细的分析，针对所使用的大素数域F_p，设计了素数域上安全椭圆曲线产生的算法，从理论上做了可实施性分析，从软件上做了具体实现；在本文的后半部分，提出了一个简单的基于有限素数域上的椭圆曲线加密方按算实现模型，并对SECES中设计的点加和点乘运算进行了深入分析。

The assessment result shows: the infirm zone of the aquifer basically distributes in the limestone area of low Ordovician -top Cambrian, which the cranny is uncovered and overgrown, the area is also the direct recharge area of spring basin. In addition , in the rivers valley area of Jin xiuchuan and Bei sha river, because the leakage of the river is serious, the contamination can leak easily to the groundwater in the area of surface and near the river, so this area also is the infirm zone. Frail zone distributes in the uncovered area of mid-Cambrian which the canny upgrowth is commonly, parts of the zone distributes the relatively impervious layer such as shale. In the north-west area where is the down-rivers of two rivers, the alluvium is thick, the protection to the limestone is good.

评价结果显示，济南岩溶泉域含水层很脆弱区基本分布在济南泉域的岩溶裂隙非常发育的、裸露的下奥陶～上寒武的石灰岩地区，该地区也是泉域的直接补给区，另外在锦绣川、北沙河等河谷地带，由于河床渗漏严重，地表水及近河地带污染物容易渗入地下，也为很脆弱区；脆弱区一般分布在裸露的中寒武地层区，岩溶裂隙发育一般，部分地带分布有页岩等相对隔水层；西北部两河下游冲积层较厚，对下伏石灰岩保护功能较强，属于脆弱性相对很低区。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。