索伯列夫嵌入不等式的证明

We consider the problem about the space embedded by tile space and the embed-ding inequality. With the Holder inequality and interpolation inequality, we give the proof of the space embedding theorem and the space holder embedding theorem.     

从一道习题谈起

<正> 在参考资料(1)中有这样一个命题(见(1)P129习题8),“若函数项级数sum from n=1 to ∞u_n(x)在区间〔a,b〕上收敛于函数S(x),而且所有u_n(x)都是〔a,b〕上的非负连续函数,则函数S(x)必     

Effect of additional silicon on titanium/4H-SiC contacts properties

The Ti electrode was deposited on the(0001) face of an n-type 4H-SiC substrate by magnetron sputtering. The effect of the electrode placement method during the annealing treatment on the contact property was carefully investigated. When the electrode was faced to the Si tray and annealed, it showed ohmic behavior, otherwise it showed a non-ohmic property.X-ray diffraction(XRD), X-ray photoelectron spectroscopy(XPS), scanning electron microscopy(SEM), and atomic force microscopy(AFM) were used to characterize the electrode phase, composition, thickness, and surface morphology. The additional silicon introduced from the Si tray played a key role in the formation of the ohmic contact on the Ti/4H-SiC contact.     

回路1、2-弦图的逆M矩阵完备及其算法设计

对已定元均不为零的部分逆M矩阵,通过变换使其对角线上元素均为1后,根据其所对应图形的特点,得到结果如下:(a)若其所对应图形为简单有向回路或回路1-弦图,具有逆M矩阵完备式当且仅当所有简单有向回路的回路积均小于1.(b)若其所对应图形为回路2-弦图,具有逆M矩阵完备式当所有简单有向回路满足回路积小于1,且对其中依次在两个顶点处相交的有向回路标明层次后,任一有向回路的回路积均小于与其相连接的上一层的有向回路的回路积.     

图映射的吸引中心与拓扑熵

设f是图G上的连续自映射，P(f)，AГ(f)，ω(f)，Ω(f)，sα(y，f)分别表示f的周期点集，单侧γ-极限点集，ω-极限集，非游荡集，相对于y的特殊α-极限点集．本文证明了：(1)x∈sα(y，f)(对某个y∈G)当且仅当x∈sα(x，f)(2)AГ(f)∪P(f)包含∪y∈Gsα(y，f)(3)AГ(f)∪P(f)=ω(Ω(f))=ω(ω(f))=ω(∪y∈Gsα(y,f))=ω(∪（AГ(f)∪P(f))．此外，本文还得到了，具有正拓扑熵的几个等价条件。     

非混沌的树映射

设f是树T上的连续自映射,SAP(f),ω(f);Ω(f)分别是f的强几乎周期点集,ω-极限集,非游荡集.本文证明下面几条是等价的:(i)f是非混沌的;(ii)SAP(f)=ω(f);(iii)fΩ(f)是逐点等度连续的;(iv)f│ω(f)是逐点等度连续的;(v)f是一致非混沌的。     

CRYSTALLINE CARBON NITRIDE THIN FILMS DEPOSITED BY MICROWAVE PLASMA CHEMICAL VAPOR DEPOSITION

The crystalline carbon nitride thin films have been prepared on Si (100) substrates using microwave plasma chemical vapor deposition technique. The experimental X-ray diffraction pattern of the films prepared contain all the strong peaks of α-C₃N₄ and β-C₃N₄, but most of the peaks are overlapped.The films are composed of α-C₃N₄ and β-C₃N₄. The N/C atomic ratio is close to the stoichiometric value 1.33. X-ray photoelectron spectroscopic analysis indicated that the binding energies of C 1s and N 1s are 286.43eV and 399.08 eV respectively. The shifts are attributed to the polarization of C-N bond. Both observed Raman and Fourier transform infrared spectra were compared with the theoretical calculations. The results support the existence of C-N covalent bond in α- and β-C₃N₄ mixture.     

非混沌的树映射

设f是树T上的连续自映射,SAP(f),ω(f),Ω(f)分别是f的强几乎周期点集,ω-极限集,非游荡集.本文证明下面几条是等价的(i)f是非混沌的;(ii)SAP(f)=ω(f);(iii)f|Ω(f)是逐点等度连续的;(iv)f|ω(f)是逐点等度连续的;(v)f是一致非混沌的.     

叔胺泡沫塑料富集原子吸收法测定矿石中微量铂

测定地质样品中的微量铂,令人满意的方法比较少,这些方法大都有分析步骤冗长、成本高和污染环境等问题。近年来利用有机萃取剂负载于聚氨酯泡沫的隔膜上进行吸附金属离子的研究有不少的报导,但未见有利用泡沫塑料富集铂的应用文章。本文研究了本实验室合成的海绵状开孔型的叔胺泡沫塑料吸附铂离子的行为,并就吸附的介质、酸度,以及四十余种离子对吸附的影响进行了实验,确定了富集地质样品中铂的最     

SUPERSYMMETRIC INVARIANCE AND UNIVERSAL CENTRAL EXTENSIONS OF LIE SUPERTRIPLE SYSTEMS

In this article, we discuss some properties of a supersymmetric invariant bilinear form on Lie supertriple systems. In particular, a supersymmetric invariant bilinear form on Lie supertriple systems can be extended to its standard imbedding Lie superalgebras. Furthermore, we generalize Garland＇s theory of universal central extensions for Lie supertriple systems following the classical one for Lie superalgebras. We solve the problems of lifting automorphisms and lifting derivations.