Cauchy主值积分求积公式的收敛性

本文讨论了Cauchy主值积分求积公式的收敛性,并获得了余项的估计式。     

锁具装箱方案

讨论了锁具装箱问题，首先用穷举法统计符合要求的一批锁具的数量，然后根据奇数和偶数的转换关系，给出装箱的销售方案。应用本方法比较完满地解决了锁具装箱问题，而且经过简单改动，可以进行推广。     

Minkowski时空中的四维力

Ｍｉｎｋｏｗｓｋｉ时空中的四维力刘泽文（物理系）关键词：相对论／类时；类空；类光；四维力分类号：Ｏ４１２在Ｍｉｎｋｏｗｓｋｉ时空中，诸如四维电流密度Ｊ￣μ、粒子的四维加速度ω￣μ＝ｄＵ￣μ／ｄτ以及四维波矢Ｋ￣μ等向量，其类时、类空以及类光性质一般是...     

心肌动作电位对心脏节律的影响

采用数值方法分析心肌动作电位对心脏节律的影响。心肌动作电位用Noble模型来描述，心脏节律用Bernardo-Signorint模型来模拟。数值分析结果表明，心肌动作电位形成的靶环波和螺旋波对心脏节律影响较大。当心肌动作电位表现为噪声时，心脏节律可完全破坏。     

利用APPLE-Ⅱ微机获得可调脉冲信号

本文研究ＡＰＰＬＥ─Ⅱ微机利用编程控制获得自动调节脉冲信号的重复频率和宽度的方法。实验证明，这种方法可以使ＡＰＰＬＥ─Ⅱ微机作为可调脉冲信号源使用。     

家兔膀胱动脉的解剖学研究

用血管铸型和透明方法观察了家兔膀胱的血供情况。膀胱动脉主要起自脐动脉，沿膀胱侧缘行向膀胱顶，沿途发出１～４支基本对称的分支分布于膀胱前面，两侧膀胱动脉的分支在其表面有吻合现象。膀胱动脉及其分支均呈不同程度的弯曲或弹簧状，可能是适应膀胱生理性增大的结构基础。     

电镀添加剂的NMR定量分析

本文叙述了用于定量分析电镀添加剂中丙烯磺酸钠和糖精钠的快速、准确、精密的ＮＭＲ分析方法．该方法是依据每个组分的ＮＭＲ特征信号和用作内标的四甲基澳化按ＮＭＲ信号的积分比值建立的，各组分不需要预先分离．     

Constraints on the number of maximal independent sets in graphs

A maximal independent set of a graph G is an independent set that is not contained properly in any other independent set of G. Let i(G) denote the number of maximal independent sets of G. Here, we prove two conjectures, suggested by P. Erdös, that the maximum number of maximal independent sets among all graphs of order n in a family Φ is o(3^n/3) if Φ is either a family of connected graphs such that the largest value of maximum degrees among all graphs of order n in Φ is o(n) or a family of graphs such that the approaches infinity as n → ∞.     

关于三次图边可重构问题的注记

对δ（Ｇ）≥８的连续三次图Ｇ是边可重构的定理给出了一个简单证明。此外还证明了，当δ（Ｇ）＝７，γ（Ｇ）≤８２以及δ（Ｇ）＝６，γ（Ｇ）≤１７时，连续三次图Ｇ是边可重构的     

Synthesis,characterization, and micellization of an epoxy‐based amphiphilic diblock copolymer of ϵ‐caprolactone and glycidyl methacrylate by enzymatic ring‐opening polymerization and atom transfer radical polymerization

Amphiphilic diblock copolymer polycaprolactone‐block‐poly(glycidyl methacrylate) (PCL‐b‐PGMA) was synthesized via enzymatic ring‐opening polymerization (eROP) and atom transfer radical polymerization (ATRP). Methanol first initiated eROP of ?‐caprolactone (?‐CL) in the presence of biocatalyst Novozyme‐435 under anhydrous conditions. The resulting monohydroxyl‐terminated polycaprolactone (PCL–OH) was subsequently converted to a bromine‐ended macroinitiator (PCL–Br) for ATRP by esterification with α‐bromopropionyl bromide. PCL‐b‐PGMA diblock copolymers were synthesized in a subsequent ATRP of glycidyl methacrylate (GMA). A kinetic analysis of ATRP indicated a living/controlled radical process. The macromolecular structures were characterized for PCL–OH, PCL–Br, and the block copolymers by means of nuclear magnetic resonance, gel permeation chromatography, and infrared spectroscopy. Differential scanning calorimetry and wide‐angle X‐ray diffraction analyses indicated that the copolymer composition (?‐CL/GMA) had a great influence on the thermal properties. The well‐defined, amphiphilic diblock copolymer PCL‐b‐PGMA self‐assembled into nanoscale micelles in aqueous solutions, as investigated by dynamic light scattering and transmission electron microscopy. © 2007 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem 45: 5037–5049, 2007