的的喀喀湖畔的渔民

的的喀喀湖位于南美洲东海岸边连绵不断的安第斯山脉中,方圆七千平方公里,是世界上最大的淡水湖之一。自古以來这里流傳有許多赞颂它的富饒和美丽的傳說。据說在湖底藏有昔日印加族富翁的无数財宝:有全由黄金和宝石嵌成的都市以及当地居民在西班牙和葡萄牙占领者入侵前埋藏的珠宝飾物。諸如此类的傳說真是数以千計。但传說毕竟是传說,人們的現     

的的喀喀湖的高原人家

正秘鲁的印加文化名城不仅仅有库斯科,马丘比丘,南部一个叫做"普诺"的城市,这座高原谜城,是探索印加帝国源头——的的喀喀湖的起点。普诺(Puno),坐落于世界上海拔最高的淡水湖——的的喀喀湖(Lake Titicaca)岸边,东邻玻利维亚,游客的必经之地。我来到瓦萨帕塔公园(Cerro Huajsapata),那里可以俯瞰城市风光。一座雕像矗立在山顶,曼科·卡帕克(Manqu Qhapaq)——     

函数的周期性与它的图象的对称性的关系

函数的周期性与它的图象的对称性的关系张沛和（嘉应大学数学系梅州５１４０００）约定：函数ｙ三八时的图象简称为图象，并用符号Ｔ表示它二图象的对称轴仅限于垂直于。轴的直线。定义：对函数ｙ一．ｆ（），若存在某一个正数Ｔ．｛ｋ得对于函数的定义域内所有Ｘ都成立，...     

循环群的Burnside环的增广理想的商群的结构

本文给出了由有限循环群出发构造的Burnside环的增广理想的基底,并讨论了它们的n次幂与n 1次幂之商,完整地给出了这类商群的结构.     

常用的求函数极限的方法的探讨

由于极限在微积分中的基础地位,本文结合实例,重点介绍十二种常用的求极限的方法。     

关于Sn的元素的阶的集合

用Ｏ＿ｎ表示ｎ次对称群Ｓ＿ｎ的元素的阶的集合。本文综述Ｏ＿ｎ的两种刻划Ｏｎ＝｛［ｎ＿１，ｎ＿２，…，ｎ＿ｕ］｜ｎ＿ｉ是正整数，且ｎ＿ｉ≤ｎ｝，为互异质数，且与两种求法，并且给出用计算机求得的Ｏ＿ｎ的一些结果。最后，对于Ｏ＿ｎ提出一些问题，以作进一步研究．     

扩充的Sturmian序列的性质的补充

Sturmian序列是具有最低复杂性的一类符号序列,对Sturmian序列进行扩充,使其更具一般性.本文对扩充的Sturmian序列进行了进一步的研究,从而使其应用更加广泛.     

改进的UMTS的认证机制的研究

详细分析了UMTS认证和密钥分配协议的过程以及协议的安全性,找出协议中存在的弱点和可能的攻击,提出了公钥加密协议的改进方法。经过分析,这一改进协议不但能满足第三代移动通信的安全需求,而且改善了UMTS在认证过程中在安全上的不足。     

环的子集的交换化子的性质

设R为一个环,S是R的非空子集.证明了如下结果:1)设R为Abel环,a∈CS(R).若a在R中是von Neumann正则元,则a在CS(R)中也是von Neumann正则元;2)设Ε(R)■S,且R为von Neumann正则环,则CS(R)是von Neumann正则环;3)设Ε(R)■S,且R为VNL环,则R不能表示成理想的直和当且仅当CS(R)为局部环.     

实正交矩阵的子矩阵的幂的迹的渐进分布

设随机矩阵U属于n阶实正交群O(n),O(n)的分布是单位Haar分布,[U]m表示U的m阶顺序主子矩阵,记Q=n/m～(1/n/m)[U]m.文献(Diaconis P,Shahshahani M.J Appl Probab,1994,A31:49-62.)通过计算TrUj的联合矩得出对固定的整数k,当n充分大时(TrU,TrU2,…,TrUk)渐进于正态分布.利用Jack函数和对称群的特征标的恒等式,推广这一结论到U的子矩阵情形,即证明了随机向量(TrQ,TrQ2,…,TrQk)当m→+∞时依分布收敛于正态分布.对特殊实正交矩阵群SO(n)也有类似的结论.     

THE RELATION BETWEEN BAND STRUCTURE AND SUPERCONDUCTING TRANSITION TEMPERATURE IN SOME MIXED ALKALI-METAL DOPED C_(60)

The electronic band stucturec of crystalline N Na2RbC60 and Na2CsC60are examined using the three-dimensional crystal orbital method. Our calculation results reveal that ground states of all these three alkali-metal doped fulle.rides from a metalic conducting phase with a rather narrow molecular crystal-like band-stucture and a high density of state near the. fermi-level, which indicate a very high Tc for this newly found molecular superconductors. A monotonic relationship is found between our calculated band dispersion,Fermi-level density of state, and the experimental transition temperature Tc,which is in exceuentt agre.emet with the prediction of the. BCS model.     

METALLIC PHASE AND INSULATING CHARACTER OF ALKALI-EARTH METAL DOPED C60

The three dimensional EHMO crystal orbital calculations for crystalline Ba6 C60,Ca3 C60 and Ca5 C60 are reported.The ground state of partially doped Ca3 C60 is found to be insulating with an indrect energy gap of 0.5eV.In contrast,the Ca5 C60 forms a metallic conducting phase with a set of three half-filled bands crossing the Fermi level which is Found to locate close to a peak of the density of state. The character of crystal orbitals near the Fermilevel for both Ca3 C60 and Ca5 C60 is completely carbon-like.In both cases the Ca3 atoms are almost fully ionized and C60 molecules form a stable negative charge state with six to ten additional electrons.The conductivity of Ba6 C60 is resuted from the incomplete charge tranfer.The valance charge of every Ba ion is about 0.33.The total charge tranfer of six Ba atoms is almost the same as that of five Ca atoms.     

METALLIC PHASE AND INSULATING CHARACTER OF ALKALI-EARTH METAL DOPED C60①

The three dimensional EHMO crystal orbital calculations for crystalline Ba6 C60,Ca3 C60 and Ca5 C60 are reported. The ground state of partially doped Ca3 C60 is found to be insulating with an indirect energy gap of 0. 5eV. In contrast, the. Cas C60 forms a metallic conducting phase with a set of three half - filled bands crossing the Fermi level which is Found to locate close to a peak of the density of state. The character of crystal orbitals near the Fermilevel for both Ca3 C60 and Ca5 C60 is completely carbon - like. In both cases the Ca3 atoms are almost fully ionized and C60 molecules form a stable negative, charge state with six to ten additional electrons. The conductivity of Ba6 C60 is resute.4 from the incomplete charge tranfer. The valance charge of every Ba ion is about 0. 33. The total charge tranfer of six Ba atoms is almost the same as that of five Ca atoms.     

杂多阴离子[P2Mo5O23]6-的稳定结构和电子性质DFT比较研究

运用量子化学密度泛函理论(DFT)的BP86,BP91,BLYP方法系统优化[P2Mo5O23]6-杂多阴离子几何结构,并对该杂多阴离子电子性质进行分析比较.计算结果表明:三种方法几何优化结果与实验数据均具有一致性,其中BP86方法计算结果与实验值最接近;最高占有轨道主要分布在与P原子相连的端氧和P-O-Mo键桥氧的p轨道上,最低空轨道主要集中在Mo原子的d轨道和部分O原子的p轨道上;所有Mo原子和P原子的正电荷都小于正常的氧化态,所有O原子的负电荷小于-2.     

Electronic structures of the oxygenated diamond （100） surfaces

Diamond is a kind of nonmetal material with unique physical and chemical properties. It is potentially useful to various applications in electronics, such as electron emitters, Schottky diodes[1-3]. The diamond films ob- tained by chemical vapor depositio…     

Atomic structure of a Na+- and K+-conducting channel

Ion selectivity is one of the basic properties that define an ion channel. Most tetrameric cation channels, which include the K+, Ca2+, Na+ and cyclic nucleotide-gated channels, probably share a similar overall architecture in their ion-conduction pore, but the structural details that determine ion selection are different. Although K+ channel selectivity has been well studied from a structural perspective, little is known about the structure of other cation channels. Here we present crystal structures of the NaK channel from Bacillus cereus, a non-selective tetrameric cation channel, in its Na+- and K+-bound states at 2.4 A and 2.8 A resolution, respectively. The NaK channel shares high sequence homology and a similar overall structure with the bacterial KcsA K+ channel, but its selectivity filter adopts a different architecture. Unlike a K+ channel selectivity filter, which contains four equivalent K+-binding sites, the selectivity filter of the NaK channel preserves the two cation-binding sites equivalent to sites 3 and 4 of a K+ channel, whereas the region corresponding to sites 1 and 2 of a K+ channel becomes a vestibule in which ions can diffuse but not bind specifically. Functional analysis using an 86Rb flux assay shows that the NaK channel can conduct both Na+ and K+ ions. We conclude that the sequence of the NaK selectivity filter resembles that of a cyclic nucleotide-gated channel and its structure may represent that of a cyclic nucleotide-gated channel pore.     

HB（N5）3M （M=Li, Na, K, and Rb）： A new kind of pentazolides as HEDMs

HB(N5)3M (M = Li,Na,K,and Rb) have been investigated as potential high-energy density materials in the present paper by means of density functional theory.They all show kinetic stabilities as to the breakup of N5 ring.Their kinetic stabilities decrease in the order of Li,Na,K,and Rb.Compared to HB(N5)3K and HB(N5)3Rb,HB(N5)3Li and HB(Ns)3Na have higher transition state barriers and are of significantly higher energy content,and thus they are suggested to be more practical and suitable as potential high-energy density materials.     

X掺杂团簇Bn+1(n=1~11; X=Be, Mn)的密度泛函研究

本文利用密度泛函理论对BnX(n=1~11; X=B, Be, Mn)基态结构、稳定性、电子构型与磁性开展了系统研究. 结果表明: 团簇BnX( n=5~11; X=Be, Mn)中的X原子均位于高配位,BnBe的基态构型为多重度为1或2的低重态;团簇BnX的平均结合能均随尺寸的增大而逐渐增大,n取值相同时,Bn+1团簇的平均结合能最高. HOMO-LOMO能隙结果表明, 掺杂铍原子、锰原子有利于提高纯硼团簇的化学活性;团簇BnBe中的Be原子是电荷的受体,团簇BnMn中Mn原子轨道电子表现出显著的spd杂化;团簇BnX (X=B,Be)中的开壳层结构磁矩主要由2p轨道贡献. 团簇BnMn均为开壳层结构,总磁矩主要由Mn3d轨道贡献. 随着团簇BnMn尺寸的增大,Mn原子的配位数增大,B-Mn平均键长增大,Mn3d轨道磁矩减小而导致团簇的总磁矩减小.     

线性金属配合物Cr3(dpa)4Cl2及其氧化态的Cr—Cr键的理论研究

用密度泛函理论对具有分子导线潜在应用前景的线性金属配合物Cr3(dpa)4Cl2的对称构型1,非对称构型2及其氧化态[Cr3(dpa)4Cl2]+3进行理论计算,并结合自然键轨道理论对配合物1～3的CrCr键进行分析.结果表明:(1)中性构型1和2中只形成Cr36+的dz2轨道组成的三中心三电子键,电子由两端向中间的Cr离域,电子由中间向两端的Cr离域,电子的离域更显著.由于离域和dpa-配体的螺旋盘绕作用,Cr36+的轨道中dxz和dyz轨道成份较小且绕金属轴(Z轴)发生不同程度的旋转,难以重叠形成键.(2)氧化态3中,因配体的螺旋作用,Cr的dxy轨道绕Z轴发生不同程度旋转而无法有效重叠形成键,故CrCr短键只存在1个键和2个键的三重键.(3)中性分子的HOMO轨道为非键轨道,电子云集中在两端Cr上,两端的Cr(2的长键端的Cr)是失电子形成氧化态3的中心.