A Note on Abelian Extensions

Let K/Q be any abelian extension where Q is the field of rational numbers. By Galois theory and the Frobenius formula for induced characters, we prove that there exists a metabelian group G and an irreducible character X of G such that K=Q（X）.     

Unramified extensions of quadratic fields

Let K be a global quadratic field, then every unramified abelian extension of K is proved to be absolutely Galois when K is a number field or under some natural conditions when K is a function field. The absolute Galois group is also determined explicitly.     

Inequalities for the radial p-th mean bodies

In this paper, we establish an inequality for the volumes of K and its radial p-th mean body R_pK by L_p-dual mixed volume. Further, the Shephard-type problem and a monotonitic inequality of R_pK are shown when p>0 .     

Congruences on ideal nil-extension of completely regular semigroups

Let S be an ideal nil-extension of a completely regular semigroup K by a nil semigroup Q with zero. A concept of admissible congruence pairs (δ,ω) of S is introduced, where δ and ω are a congruence on Q and a congruence on K respectively. It is proved that every congruence on S can be uniquely respresented by an admissible congruence pair (δ,ω) of S. Suppose that ρ K denotes the Rees congruence induced by the ideal K of S. Then it is shown that for any congruence σ on S,a mapping Γ:σ|→(σ Q,σ K) is an order-preserving bijection from the set of all congruences on S onto the set of all admissible congruence pairs of S,where σ K is the restriction of σ to K and σ Q=(σ∨ρ K)/ρ K. Moreover,the lattice of congruences of S is also discussed. As a special case,every congruence on completely Archimedean semigroups S is described by an admissible quarterple of S. The following question is asked: Is the lattice of congruences of the completely Archimedean semigroup a semimodular lattice?     

Enumeration of generalized linear orthomorphism in the vector space F q n

The conception of orthomorphism has been general-ized in this paper, and a counting formula on the generalized linear orthomorphism in the vector space over the Galois field with the arbitrary prime number p as the characteristic is obtained. Thus, the partial generation algorithm of generalized linear orthomorphism is achieved. The counting formula of the linear orthomor-phism in the vector space over the finite field with characteristic 2 is the special case in our results. Furthermore, the generalized linear orthomorphism generated and discussed in this paper can gain the maximum branch number when they are designed as P-permutations.     

纳米硬磁相耦合永磁体的有效各向异性与矫顽力

通过建立球状晶粒模型，研究了纳米硬磁相晶粒之间的交换耦合相互作用对晶粒有效各向异性和矫顽力的影响，结果表明随着晶粒直径的减小，晶粒之间的交换耦合相互作用将随之增强，而材料的有效各向异性和矫顽力将逐渐下降。为了保证材料具有较高的各向异性和矫顽力，晶粒的直径应该大于20nm。同时，通过与实验数据的拟合，得到了矫顽力的最佳计算公式(H_c=0.32×2K_eff/J_s)。     

Critical Chords of Convex Bodies of Constant Width

In this paper, we show that when Minkowski measure of asymmetry of convex body K of constant width is bigger than α (n-1), K has at least n+1 critical chords, where \(\alpha (n) = \frac{{n + \sqrt {2n(n + 1)} }}{{n + 2}}\).     

内部算子及闭包算子与伴随的一些关系

研究了内部算子及闭包算子与伴随的关系,得到了2个主要结论：1)在f是内部算子,g是闭包算子的条件下,(f,g)成为伴随的充要条件是f和g的不动点集相同;2)在(f,g)为伴随的条件下,f是内部算子(或闭包算子)与g是闭包算子(或内部算子)的等价刻画．     

域扩张是单根式塔的充分必要条件

 设K是域F的扩张,利用Galois理论,给出了K是F的单根式塔的一些充分必要条件,并证明了在某些条件下, 单根式塔与Galois扩张是等价的。     

Unrami?ed extensions of quadratic ?elds

Let K be a global quadratic ?eld, then every unrami?ed abelian extension of K is proved to be absolutely Galois when K is a number ?eld or under some natural conditions when K is a function ?eld. The absolute Galois group is also determined explicitly.     

Hil加密算法的推广和实现

将Ｈｉｌ加密算法的讨论范围扩大到Ｇａｌｏｉｓ域上的向量空间并把明文字母表增加到足够的长度，可以得到具有优良抗攻击性能的加密算法．此外，以本法为基础，还能够构造出很多更高强度的加密算法     

Magnetic properties of Fe3(1−x)Cr3xC alloys

The magnetic properties of Fe_3(1−x)Cr_3xC alloys with x=0.05, 0.1, 0.15, and 0.2, which crystallize in the cementite Fe₃C-type structure with space group Pnma, were investigated by means of magnetization measurements. These alloys show temperature-induced second-order magnetic phase transitions. The Curie temperature (T_c) of these alloys decreases with increasing x. The isothermal magnetic-entropy changes of these alloys were derived from the magnetic isotherms measured with increasing temperature and increasing field. The maximum values of the magnetic-entropy change are about 0.9 and 3.6 J·kg⁻¹·K⁻¹ at T_c =360 K for x = 0.05 in a magnetic field change from 0 to 1 T and 0 to 5 T, respectively.     

HERG1 K+ channels on the leukemic cells mediated angiogenesis in vitro

Human ether-a-go-go-related gene （HERG1） K^＋ channels are overexpressed in leukemia, which contributes to neoangiogene- sis. The purpose of this study was to investigate the role of HERG1 K^＋ channels on leukemia angiogenesis. We cultured human umbili- cal vein endothelial cells （HUVECs） in conditioned media, which were derived from leukemic cells with or without E-4031, a HERG1 K^＋ channel special inhibitor. The HUVECs proliferation was mea- sured using CCK-8 assay and migration by a Trans-well. Endothelial tube formation was investigated using Matrigel. Vascular endothelial growth factor （VEGF） levels were tested by ELISA and VEGF mRNA expression using RT-PCR. Our results revealed that blocking HERG1 K^＋ channels could inhibit leukemia-induced HUVECs pro- liferation, migration, and tube formation in vitro. The results sug- gested that HERG1 K~ channels could increase leukemia angio- genesis. Furthermore, blockage of HERG1 K^＋ channels could also decrease leukemic cells secreting VEGF and expressing VEGF mRNA. HERG1 K^＋ channels have a promoting effect on leukemia angiogenesis, and the possible mechanism may be that HERG1 K^＋ channels enhance VEGF expression. Thus, HERG1 K4 channel is a potential target of antiangiogenesis in leukemia.     

K2CuIn3Se6的固相合成、晶体结构和性能

采用反应性熔盐法以n(K₂Se₃ )∶n(Cu)∶n(In)∶n(Se) =2∶2∶1∶6的摩尔比,在773K下反应5d,得到四元金属硒化物K₂CuIn₃Se₆。该晶体属于单斜晶系,空间群为C2/c ,晶胞参数a =1 .1484(2)nm,b =1.1458(2)nm,c =2.1327(4)nm,β =97.81(3)^o,V=2.7802(1)nm³,Z=8.K₂CuIn₃Se₆具有层状结构,含有二维共价结构的负离子,²∞[CuIn₃Se₆]^2-.²∞ [CuIn₃Se₆]^2-由配位四面体[CuSe₄]和[InSe₄]共顶点连接而成。²∞[CuIn₃Se₆]^2-和K+ 以静电力堆积成晶体。漫反射光谱研究表明,该晶体具有1.6eV的光学能隙,属于半导体,对太阳能有选择吸收的特性。     

Synergistically optimizing electrical and thermal transport properties of ntype PbSe

In this paper,we report that the thermoelectric performance of n-type Pb Se could be improved through synergistically optimizing electrical and thermal transport properties via Sb doping and Mg alloying.The carrier concentration was firstly optimized through Sb doping,resulting in a maximum power factor of~15.4μW cm~(-1)K~(-2)and maximum ZT of~0.9 at 873 K in Pb_(0.99)Sb_(0.01)Se.Then,Mg was selected for alloying in Pb sites to produce point defects,which can largely intensify the phonon scattering and lower thermal conductivity.After Mg alloying,the thermal conductivity at 300 K(873 K)was significantly suppressed from~4.6 Wm~(-1)K~(-1)(1.5 Wm~(-1)K~(-1))for Pb_(0.99)Sb_(0.01)Se to~2.9 Wm~(-1)K~(-1)(1.1 Wm~(-1)K~(-1))for Pb_(0.99)Sb_(0.01)Se-6%Mg Se.Through combining Sb doping and Mg alloying,a maximum ZT of~1.1 was achieved at 873 K for Pb_(0.99)Sb_(0.01)Se-6%Mg Se,and the average ZT(ZT_(ave))was increased by 28.6%from~0.42 for Pb_(0.99)Sb_(0.01)Se to~0.54 for Pb_(0.99)Sb_(0.01)Se-6%Mg Se.The results indicate that Pb Se is a robust candidate for medium-temperature thermoelectric applications.     

Ionizing Groups at the Active Site of the Alkaline Phosphatase from Ostrea cucullate

Introduction Alkaline phosphatase (ALP, EC 3.1.3.1) is a non-specific phosphomonoesterase that functions through a phosphoseryl intermediate to produce free inorganic phosphate or to transfer the phosphoryl group to other alcohols[1,2]. In the past decade…     

最小Q-特征值为给定整数的一类图

研究了基于二部图H构造的一类图的最小无符号拉普拉斯特征值,即最小Q-特征值,得到了它的最小Q-特征值的可达上界为1.给出了最小Q-特征值为1的2个必要条件,并构造了最小Q-特征值为1的一类图.另外,给出了利用H∨K1的最小Q-特征值来判断简单图H没有完美匹配的方法,以及图G增加边后最小Q-特征值保持不变的1个充分条件.最后,构造了最小Q-特征值为任意给定的正整数t的一类图.     

Spatial-temporal variability of thermohaline intrusions in the northwestern tropical Pacific Ocean

Using repeated hydrographic measurements at 137°E,spatial-temporal variability of thermohaline intrusions in the northwestern tropical Pacific are investigated.Intrusions can be found in the main thermocline throughout the section,with their strength decreasing rapidly poleward.The strongest intrusions exist at the North Equatorial Countercurrent(NECC) where North/South Pacific thermocline water converges.These intrusions also exhibit temporal variations in strength which are closely associated with the meridional displacement of the NECC.Intrusion strength peaks in boreal winter when the NECC reaches its northernmost position of the year.At interannual time scale,intrusions tend to be weak(strong) during El Ni o(La Ni a) episodes.Variations in intrusion strength also lead to prominent fluctuation of lateral diffusivity K L and cross-front temperature flux F Θ.F Θ exhibits significant year-to-year changes which are well correlated with ENSO index,suggesting a possible role of intrusions in the low-latitude Pacific climate variability.     

K4Sn3Se8的固相合成、晶体结构和反射光谱研究

采用反应性熔盐法，通过中温固相反应在500℃下合成晶体K₄Sn₃Se₈。该晶体属正交晶系，空间群Ccca，晶胞参数：a=0.82115(6)nm，b=2.7790(2)nm，c=0.81865(6)nm，V=1.8682(2)nm³，Z=4。K₄Sn₃Se₈由[Sn₃Se₈]₄三聚体负离子和K⁺正离子组成。漫反射光谱研究表明该材料能隙(Eg)为2.6eV，属于半导体，对太阳能具有选择吸收的特性。     

数据挖掘在中观交通仿真器模型研究中的应用

为克服经典速度-密度模型刻画道路交通流动态变化特性的缺陷,将更丰富的路段检测信息运用到中观交通仿真模型参数的标定过程中. 提出先对路段检测器数据进行预处理,再采用数据挖掘中的局部加权回归,K-Means,k-最近邻以及凝聚层次聚类算法,分别将车流密度、密度与流量作为变量标定车速. 利用现场数据对算法进行了大量测试,结果表明算法是有效的,适用于基于仿真的动态交通分配系统.