一元多项式学习中易犯的几个错误

结合一元多项式中的一些重要概念,如多项式的最大公因式、多项式的重根及不可约多项式等,分析一元多项式学习中易犯的错误,并强调运用定理时要注意其适用的条件和前提．     

二分单纯形算法中子规划问题的进一步研究

本对二分单纯形算法的子规划问题作进一步研究,提出一个新的子规划问题来改善问题的不可行性,并确定了相应的主元旋转规则,并编制了相应于新子规划的新二分算法,并对94个线性规划问题进行了数值实验,实验结果表明,新二分算法是一种改进的二分算法。     

Different Behaviors of ACE Inhibitor Tripeptide Ile-Ile-Pro in Aqueous and DMSO Solutions by All-Atom MD Simulations and 2D-NOESY Spectra

All-atom molecular dynamic simulations and 2D-NOESY spectra were used to study the conformations and hydrogen bonds of ACE inhibitory tripeptide Ile-Ile-Pro(IIP) in aqueous and DMSO solutions. RMSD, Dis, Rg and SASA were adopted to characterize the properties of tripeptide Ile-Ile-Pro in the MD simulations. Interestingly, the tripeptide molecule IIP exhibited different behaviors in aqueous and DMSO solutions. In aqueous solution, IIP was very flexible. The conformation could shift between extended and folded states very quickly. However,in DMSO solution, more folded conformations were observed. The interesting phenomena were proved by 2D-NOESY spectra.     

高等代数中关键词教学法的探索

结合高等代数的教学内容,探索在关键词教学法实施过程中关键概念的引入、理解、推广、应用等方面应遵循的原则．     

退化问题中Bland规则的改进

Bland规则是退化问题中避免循环的一种方法，本给出了Bland规则的两种改进形式，并从理论上证明了规则Ⅲ为有限规则，另外，还对一个退化问题给出了相应于不同规则的解法。     

求矩阵幂的几种方法

求矩阵幂的几种方法严文利（淮阴工业专科学校）在矩阵及矩阵函数研究中，常常要涉及到矩阵幂的计算问题，根据定义Ａｎ＝Ａ·Ａ．．．Ａ，而ｎ个计算ｎ个矩阵相乘即便对二阶矩阵而言，也是比较繁琐的。本文试图通过对矩阵自身及一些特殊矩阵的性质的探讨介绍几种求Ａｎ的...     

对一道三角函数有理式积分的深入挖掘

本文针对一道三角函数有理式的积分,从不同角度考虑,采用多种技巧和方法展示该题积分的计算.     

Mechanism Study of Aliskiren and Its Analogues by Molecular Dynamic Simulation

The further interaction mechanism towards renin inhibitors was revealed by comparison of renin with different active inhibitors in aqueous solution. Molecular docking and molecular dynamics(MD) simulations were combined for the research. The results reflected that electrostatic and hydrophobic effects were the major interactions for renin inhibitors forming complexes with renin, and some residues were the key to the formation of complex, especially Asp38/Asp226. The factor of different activitie...     

一类线性规划问题初始可行基产生的新方法

本对一类特殊的线性规划问题提出了利用最优基的启发性刻划产生初始基，进而用无比检验规则产生初始可行基的方法，并给出了此方法在单纯形表上实现的步骤。     

浅谈正定二次型的习题课设计

在高等代数的实二次型内容中,正定二次型占有特殊的地位.本文从概念的回顾、正定二次型与正定矩阵的判断、二次型正定及矩阵正定的性质、其它类型二次型四个方面来设计正定二次型的习题课,并通过具体例子说明例题、习题精选的原则.