基于第二类Chebyshev多项式零点的Pal-型插值多项式的逼近

设{x_k}_(k-0)~n是n 1次多项式U_n(x)=(1-x~2)U_n(x)的零点,其中U_n(x)是第二类Chebyshev多项式。设是的零点。根据Pal的插值理论,对函数f∈C~1[-1,1],存在唯一的2n 1次多项式满足条件: 本文研究用Pal型插值多项式对函数f∈C~r[-1,1](r≥1)和它的导函数的逼近。     

关于“信息熵”分析及其应用的研究

本文用Ｓｈａｎｎｏｎ熵函数的观点及最大离散熵原理，探讨了对随机试验项目的优选问题：即压缩某种“不确定性”试验项目的实施与探索．并通过应用实例的计算，获得了满意的聚类效果．这种方法对于信息资料的数据处理及压缩“不确定性“验项目具有普遍意义．     

A PICARD TYPE THEOREM AND BLOCH LAW

Ａ ＰＩＣＡＲＤ ＴＹＰＥ ＴＨＥＯＲＥＭ ＡＮＤ ＢＬＯＣＨ ＬＡＷ ￥ＹＥＹＡＳＨＥＮＧＡｂｓｔｒａｃｔ：Ａｐｉｃａｒｄｔｙｐｅｔｈｅｏｒｅｍｉｓｐｒｏｖｅｄ，ａｎｄａｃｏｕｎｔｅｒｅｘａｍｐｌｅｉｓｇｉｖｅｎｔｏｓｈｏｗｔｈａｔｔｈｅＢｏｌｃｈ...     

钴（Ⅱ）—丁二酮单肟烟酰腙—亚硝酸盐体系的伏安行为及其应用

在氨性介质中(pH=9.0),钴(Ⅱ)-丁二酮单肟烟酰腙(DMNH)-亚硝酸盐体系可产生灵敏度很高的催化波。从体系的伏安行为可知,吸附于汞电极上的是混配的配盐NH_4[Co(Ⅱ)(DMNH)·(NO_2)_2],在-1.0 V(相对SCE)处,Co(Ⅱ)被还原至Co(0),DMNH被还原成自由基,由于NO_2~-的存在,自由基可参与再生反应而形成催化波。羟氨的存在可使产生催化波的最佳pH值移至8.2.用此体系进行了生物样品中钴的测定,其检出限为1×10~(-10)mol/L。     

Nonlinear Dynamics Approach to the Correlation Analysis of Protein Sequences

To clarify the randomness of protein sequences,we make a detailed analysis of a set of typical protein sequences representing each fold by using the nonlinear prediction method developed in nonlinear dynamics theory.No deterministic structures are found in these protein sequences and this implies that they behave as random chains.We also explain the controversial results obtained in previous investigations.     

R~(2,1)中线性Weingarten曲面的Bcklund变换(英文)

本文对三维Minkowski空间R~(2,1)中具有性质K-2mH+m~2-l~2=0或H=constant的类时曲面定义了一个Darboux线汇,同时得到了相应的Bcklund变换。     

Two New Ionone Derivatives from Rhododendron przewalskii Maxim

Two new ionone derivatives,named rhododendrone and rhododendronside,were isolated from the alcohoilc extract of the aerial parts of Rhododendron przwalskii Maxim.Their structures were elucidated on the basis of spectroscopic analysis.