Genus polynomials of cycles with double edges

Two cellular embeddings i: G → S and j: G → S of a connected graph G into a closed orientable surface S are equivalent if there is an orientation-preserving surface homeomorphism h: S → S such that hi = j. The genus polynomial of a graph G is defined by

MoO3在Ga2O3上的分散研究

采用ＸＲＤ,ＬＲＳ,ＦＴ－ＩＲ,ＵＶ－ＤＲＳ和ＴＰＲ研究了ＭｏＯ３在体载体Ｇａ２Ｏ３上的分散情况。结果表明：ＭｏＯ３的分散状态受Ｇａ２Ｏ３表面结构的影响,ＭｏＯ３在Ｇａ２Ｏ３上的分散容量约为８．４μｍｏｌ／ｍ＾２;低于该分散容量时,Ｍｏ＾６＋主要以高分散态存在于Ｇａ２Ｏ３表面,而高于该分散容量时,除在分散态的Ｍｏ－Ｏ物种外,还有残余的ＭｏＯ３晶相出现。ＴＰＲ结果表明：ＭｏＯ３低于分散容量时,体系中     

DNA电化学传感器在DNA片段识别与测定中的应用

本文用乙基－（３－二甲基丙基）碳二亚胺盐酸盐（ＥＤＣ）和羟基丁二酰亚胺（ＮＨＳ）活化已被氧化的石墨电极,然后将单链ＤＮＡ（ｓｓＤＮＡ－１）固定在石墨电极上。运用核酸杂交技术,使具有电化学活性的染料Ｈｏｅｃｈｓｔ ３３２５８ 嵌入双链ＤＮＡ 分子（ｄｓＤＮＡ）的碱基对中,在石墨电极表面形成ｄｓＤＮＡ－Ｈｏｅｃｈｓｔ ３３２５８ 层,通过伏安法测定嵌入Ｈｏｅｃｈｓｔ ３３２５８的氧化峰电流,可以识别和测定溶液中互补的ｓｓＤＮＡ－２ 片段,ｓｓＤＮＡ－２ 的浓度在４．８×１０－ ５～１．１×１０－ ７ ｍ ｇ／ｍ Ｌ范围内,有线性关系,检测限可达６．０×１０－ ８ ｍ ｇ／ｍ Ｌ。     

Normal systems over ANR’s, rigid embeddings and nonseparable absorbing sets

Most of results of Bestvina and Mogilski [Characterizing certain incomplete infinite-di-mensional absolute retracts. Michigan Math. J., 33, 291-313 (1986)] on strong Z-sets in ANR's and absorbing sets is generalized to nonseparable case. It is shown that if an ANR X is locally homotopy dense embeddable in infinite-dimensional Hilbert manifolds and w(U ) = w(X ) (where "w"is the topological weight) for each open nonempty subset U of X , then X itself is homotopy dense embeddable in a Hilbert manifold. It is also demonstrated that whenever X is an AR, its weak product W (X, ) = {(x n ) ∞ n=1 ∈ X ω : x n = for almost all n} is homeomorphic to a pre-Hilbert space E with E ～ = ΣE. An intrinsic characterization of manifolds modelled on such pre-Hilbert spaces is given.     

Continuous embeddings of Besov-Morrey function spaces

We study embeddings of spaces of Besov-Morrey type, M Bp1,q1s1,r1(Rd ) → M Bp2 ,q2s2 ,r2 (R d ), and obtain necessary and sufficient conditions for this. Moreover, we can also characterise the special weighted situation Bp1 ,r1s1 (R d , w) → M Bp2 ,q2s2 ,r2 (Rd ) for a Muckenhoupt A ∞ weight w, with wα(x) = |x|α , α -d1, as a typical example.     

S-拟正规嵌入子群

群G的一个子群H称为在G中S-拟正规嵌入的,如果对H阶中的每一个素因子p,H的Sylowp-子群也是G的某个S-拟正规子群的Sylowp-子群.利用子群的S-拟正规嵌入性给出了群为p-幂零群及超可解群的一些特征.     

R~N上拟线性椭圆方程的无穷多解

运用喷泉定理研究了无界区域上拟线性椭圆方程无穷多解的存在性,推广了一些结果.     

Codimension Two PL Embeddings of Spheres with Nonstandard Regular Neighborhoods

For a given polyhedron K(?)M,the notation RM(K)denotes a regular neigh- borhood of K in M.The authors study the following problem:find all pairs(m,k) such that if K is a compact k-polyhedron and M a PL m-manifold,then R_M(f(K))≌R_M(g(K))for each two homotopic PL embeddings f,g:K→M.It is proved that R_S~(k 2)(S~k)(?)S~k×D~2 for each k(?)2 and some PL sphere S~k(?)S~(k 2)(even for any PL sphere S~k(?)S~(K 2)having an isolated non-locally flat point with the singularity S~(k-1)(?) S~(k 1)such thatπ_1(S~(k 1)-S~(k-1))(?)Z).     

利用散斑嵌入条纹和查找表进行三维面形测量

为了快速、准确地重建复杂场景的三维面形,提出了一种利用散斑嵌入相移条纹图案和截断相位-高度查找表的三维面形测量方法。将散斑作为辅助信号嵌入到四步相移条纹图案的相位分布中,得到待投影的复合条纹图案。利用相移算法解调出被测物体的截断相位和额外的散斑信息。利用查找表得到截断相位对应的多个候选高度,再利用散斑对条纹周期进行标记以解决高度歧义问题,唯一确定截断相位所对应的正确高度,以实现被测物体三维面形的快速重建。该方法直接从截断相位信息中重建三维面形,无需投影任何附加图案,也无需进行相位展开。理论分析和实验结果表明,该方法可以实现动、静态复杂场景三维形貌的高精度测量且鲁棒性好。     

一类深度1的可迁模Lie超代数

建立了满足如下条件的可迁$\mathbb{Z}$-分次模Lie超代数$\frak{g}=\oplus_{-1\leq i\leq r}\frak{g}_{i}$的嵌入定理:(i) $\frak{g}_{0}\simeq \widetilde{\mathrm{p}}(\frak{g}_{-1}) $ 并且$\frak{g}_{0}$-模 $\frak{g}_{-1}$ 同构于$\widetilde{\mathrm{p}}(\frak{g}_{-1})$的自然模;(ii) $\dim \frak{g}_1=\frac 23 n(2n^2+1),$ 其中 $n=\frac{1}{2} \dim \frak{g}_{-1}.$特别地, 证明了满足上述条件的有限维单模Lie超代数同构于奇Hamilton模Lie超代数.对局限Lie超代数也做了相应的讨论.