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Ohne Zusammenfassung     

On-line arbitrarily vertex decomposable trees

A tree T is arbitrarily vertex decomposable if for any sequence τ of positive integers adding up to the order of T there is a sequence of vertex-disjoint subtrees of T whose orders are given by τ. An on-line version of the problem of characterizing arbitrarily vertex decomposable trees is completely solved here.     

江浙蝮蛇蛇毒蛋白C激活因子基因的克隆及测序

从江浙蝮蛇毒腺中抽提总RNA，RT－PCR进行体外扩增，获得江浙蝮蛇蛇毒蛋白C激活因子基因，克隆至pGEX-5X-3载体中，对3个重组克隆分别作DNA全序列分析，通过遗传密码推导出相应的氨基酸序列，与其它已知的丝氨酸复白酶蛇毒蛋白的氨基酸作比较，其中许多上氨基酸有很强的同源性，该基因的成功克隆，不仅推导出江浙蝮蛇蛇毒蛋白C激活因子的蛋白质序列，也为进一步开展江浙蝮蛇蛇毒蛋白C激活因子蛋白质工程的研究工作打下良好的基础。     

Orthonormal polynomial bases in function spaces

We construct polynomial orthonormal bases in various function spaces. Our bases have linear order of growth of degrees of polynomials. We show that this order is optimal.     

Bücherbesprechungen

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Ueberblick über das Gebiet der Gallerten und Gele

Ohne ZusammenfassungStark gekürzt vorgetragen.     

On the Neighbour-Distinguishing Index of a Graph

A proper edge colouring of a graph G is neighbour-distinguishing provided that it distinguishes adjacent vertices by sets of colours of their incident edges. It is proved that for any planar bipartite graph G with Δ(G)≥12 there is a neighbour-distinguishing edge colouring of G using at most Δ(G)+1 colours. Colourings distinguishing pairs of vertices that satisfy other requirements are also considered.     

Luminescence Properties of Tb-Doped Yttrium Disilicate Prepared by the Sol–Gel Method

A sol–gel method for the synthesis of nanosized powders of yttrium disilicate doped with Tb^{3 +} is presented. The influence of grain size and annealing temperature on the structure and luminescence properties of the materials obtained has been investigated. The preparation of glass-ceramic composite has been also described. The effect of incorporating the nanocrystals into sol–gel silica glasses on their physicochemical properties has been shown and discussed. A lack of influence of the annealing above 1300°C on the lifetimes measured for the nanocrystals embedded in the glass, as compared to the Y₂Si₂O₇:Tb^{3 +} powders, has been observed.