NA序列部分和的矩完全收敛性

讨论了NA序列部分和的矩完全收敛性,在一定条件下获得了NA序列矩完全收敛的充要条件,显示了矩完全收敛和矩条件之间的关系,将独立同分布随机变量序列矩完全收敛的结果推广到NA序列,得到了与独立随机变量序列情形类似的结果.     

水中硝基苯胺类化合物酶免疫化学分析技术研究

采用戊二醛法, 将4-硝基苯乙胺与牛血清蛋白(BSA)和卵清蛋白(OVA)共价偶联, 分别合成了免疫原4-硝基苯乙胺-BSA和包被原4-硝基苯乙胺-OVA, 经紫外分光光度计及飞行时间质谱扫描鉴定. 用合成的免疫抗原免疫新西兰大白兔, 并用合成的包被原进行间接竞争酶联免疫(ELISA)试验, 获得的抗血清效价达1∶32000. 方阵实验确定了包被抗原最佳浓度(0.5 mg/L)及抗血清最佳稀释度(1∶6000), 并建立了间接竞争ELISA方法. 工作曲线表明在1～1000 μg/L浓度范围内呈良好的线性关系, 该法IC₅₀值为(52.73±2.67) μg/L, 检测限为5.12 μg/L. 其它类似结构不干扰硝基苯胺的测定. 成功地建立了硝基苯胺类化合物的间接竞争酶免疫化学分析方法．     

综合有机化学实验:提取丁香花中的丁香酚多步合成香兰素

介绍了一个综合型有机化学实验，作为一个整体项目大约安排12周时间来完成。以不含香兰素的丁香花为原料，提取其中的丁香酚来多步合成香兰素，并进行物理和化学性质检验，整个实验技术路线包含了蒸馏、合成、重结晶等多种操作，同时在纯化和结构鉴定过程中还用到红外、紫外-可见和高效液相色谱等多种大型仪器分析技术。     

An interpretation of COVID-19 in Tokyo using a combination of SIR models

A year and a half has passed since the outbreak of the COVID-19 pandemic. Mathematical models to predict infection are expected and many studies have been conducted. In this study, a new interpretation was created that could reproduce the daily positive cases in Tokyo using only a simple SIR model. In addition, the data on the ratio of transfer to delta variants could also be simulated. It is anticipated that this interpretation will be a basis for the development of forecasting methods.     

Vertex-distinguishing E-total Coloring of Complete Bipartite Graph K_(7,n) when 7≤n≤95

Let G be a simple graph. A total coloring f of G is called an E-total coloring if no two adjacent vertices of G receive the same color, and no edge of G receives the same color as one of its endpoints. For an E-total coloring f of a graph G and any vertex x of G, let C(x) denote the set of colors of vertex x and of the edges incident with x, we call C(x) the color set of x. If C(u)≠ C(v) for any two different vertices u and v of V(G), then we say that f is a vertex-distinguishing E-total coloring of G or a VDET coloring of G for short. The minimum number of colors required for a VDET coloring of G is denoted by χ_(vt)~e(G) and is called the VDET chromatic number of G. The VDET coloring of complete bipartite graph K_(7,n)(7 ≤ n ≤ 95) is discussed in this paper and the VDET chromatic number of K_(7,n)(7 ≤ n ≤ 95) has been obtained.     

The Inclusion Interval of Basic Coneigenvalues of a Matrix

In this paper,a compound-type inclusion interval of basic coneigenvalues of(com- plex)matrix is obtained.The corresponding boundary theorem and isolating theorem are given.     

广西大风子中2个新木脂素的NMR研究

从广西大风子的皮中分离得到两个新木脂素1和2,并通过高分辨质谱和核磁共振确定了其结构. 利用多种二维核磁共振技术,包括HSQC, HMBC, DQF-COSY 和NOESY谱,对其碳氢信号进行了全归属. 毛细管电泳分析显示1和2均为外消旋体.     

红光皂甙元及其两个甾体皂甙的NMR研究

从番麻(Agave americana L.)发酵的叶汁中分离得到红光皂甙元(hongguanggenin)、Cantalasaponin-1及一个新的甾体皂苷Agameroside-1. 运用2D NMR技术,包括DQF ¹H-¹H COS Y,HSQC,HMBC,HSQC-TOCSY,ROESY等技术,首次全归属了3个甾体化合物的氢和碳的化学位移,并总结了红光皂甙元的甙化位移效应,从而修正了文献中部分碳信号归属以及甙元的甙化位移效应.     

Transversal infinitesimal automorphisms of harmonic foliations on complete manifolds

Summary In this paper we study infinitesimal automorphisms of finiteL ²-norm for harmonic Riemannian and Kähler foliations admitting a complete bundle-like metric. The results generalize facts established recently in the compact case.1980 Mathematics Subject Classification: Primary 57 R 30, Secondary 58 E 20.Work supported in part by a grant from the National Science Foundation.     

Complete Positivity of Elementary Operators on C^＊—algebras

1.IntroductionandPreliminariesInthispaper,AdenotesaC'-algebra.AnelementaryoperatoronAisamappingoftheformE:x-Zaixbi,whereaiandbiarefixedelementsofA.AnidempotenteinAiscalledi-lminimal,ifeAe=Ce.ThesocleofA,soc(A)isdefinedtobethetwo-sidedidealgeneratedbyallminimalidempotentsinAoroiftherearenone.AissaidtObeprimeifxAy=Oimpliesx=oory=oforallx,yinA.Aiscalledprimitiveifithasafaithfulirreduciblerepresenta-tion.LetAandBbeC'-algebras,alinearmap@:A-Biscalledpositiveifdi(a)ispositiveforallPositiv…