Converse theorems for multidimensional Kantorovich operators

L _p [0, l]. . . - .

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Supported by National Science Foundation, Zhejiang Provincial Science Foundation of China, and Alexander von Humboldt Foundation of Germany.     

Homomorphisms to oriented cycles

We discuss the existence of homomorphisms to oriented cycles and give, for a special class of cyclesC, a characterization of those digraphs that admit, a homomorphism toC. Our result can be used to prove the multiplicativity of a certain class of oriented cycles, (and thus complete the characterization of multiplicative oriented cycles), as well as to prove the membership of the corresponding decision problem in the classNPcoNP. We also mention a conjecture on the existence of homomorphisms to arbitrary oriented cycles.     

Hausdorff measure of the level sets of multi-parameter wiener processes in one dimension

LetZ _N (t) be anN-parameter Wiener process in one dimension, and $$E(x,T) = \left\{ {t = (t_1 , \cdot \cdot \cdot ,t_N ):Z_N (t) = x,0 \leqslant t_1 , \cdot \cdot \cdot ,t_N \leqslant T} \right\}$$ . Then we obtain that with probability one, the Hausdorff measure function ofE(x,T) is $$\psi _N (r) = r^{N - \tfrac{1}{2}} (\log \log r^{ - 1} )^{\tfrac{1}{2}} ,\forall r \in (0,\frac{1}{4})$$ for anyx∈R ¹ andT>0.     

合成香料β-大马酮的高效液相色谱分析

本文提出了用分析型HPLC仪器制备β-大马酮标准品的方法及用HPLC测定β-大马酮含量的方法。制备色谱柱为Zorbax SIL 9.4 mmφ×25cm,流动相为石油醚(30～60℃)/乙醚98.5/1.5。分析用色谱柱为Shim CLC SIL 6 mmφ×15cm(岛津全多孔硅胶柱),流动相为石油醚(60—90℃)/无水乙醇99.88/0.12,检测器为紫外可见分光光度检测器。波长253nm或302nm,标准曲线的线性范围0～1.4mg/ml。峰高或峰面积均可用于测定,回收率100.7%。     

5－（4－乙酰氧基苯基），10，15，20－三苯基卟啉金属配合物修饰的铂支撑双层脂膜的IV性质

合成并表征了５－（４－乙酰氧基苯基），１０，１５，２０－三苯基卟啉及其金属配合物，将它们作为修饰物，制得铂支撑的双层脂膜，用循环伏安法研究了抗坏血酸的氧化还原反应，并对其机理作了探讨。