On N-widths in Ip

In this paper we prove that (1<p<+∞), give the characteristics of x^o and the optimal subspace for n-width d_n in space X=l _n ^N . Where d_n in the n-width, in the sense of Kolmogorov, ofD in X, dⁿ is the n-width ofD with respect to X, in the sense of Gel'fand, δ is the linear n-width ofD with respect to X.     

热机械法研究聚丙烯腈纤维的超分子结构 Ⅱ.热溶胀收缩法测定取向因素

本文测定了一系列不同热拉伸比的风干PAC纤维的热溶胀收缩率,发现有一个剧烈的熵收缩阶段,继之以一个缓慢收缩阶段,用一个大分子收缩模型,将熵收缩S′与实测的二色性取向因素相联系,发现(?)(取向角余弦的均方)与S′成线性相关。 假定缓慢收缩是由于解取向,用同一模型可以推导出一个方程式,用来计算cos~2α_m,(?)值和cos~2α_m值的接近,说明缓慢收缩是由于解取向的假设是有根据的。     

An identification of the connections of Quillen and Beilinson-Schechtman

Given a family of Riemann surfaces and a holomorphic vector bundle Beilinson and Schechtman construct a canonical connection on the associated determinant bundle. We prove the conjecture which states that their connection coincides with the Quillen connection. This is done by reducing to the case where along fibers are invertible. Both connection forms become more accessible in this case.Supported in part by N.S.F. Grant No. DMS-9201022Supported in part by National Science Council of Republic of China Grant No. NSC 82-0208-M-002-125-T, and NSERC of Canada Grant No. OGP 0121883