空间直线方程一题多解的探析

探讨空间解析几何中一道求解直线方程习题的七种解法,利用一题多解来培养学生的发散思维和创新精神,从而提高学生分析问题和解决问题的能力.     

三重积分的计算方法

主要探讨在直角坐标系下三重积分的计算方法与技巧.首先将空间区域分成两大类,并给出用不等式组表示它们的方法,然后就每种区域分别列出化三重积分为累次积分的公式,并举例加以说明.     

关于高等代数教学的思考与探索

针对高等代数教学过程中教学内容与实际课时引发的问题,主张下放教学内容,并采用灵活的教学模式:在教学中本着"点"、"线"、"面"的教学思想,按照人的认识规律进行教学;让学生也参与教学,形成师生互动的局面;利用三"导"合一的教学方法,整合高等代数的知识内容节省教学时数;注意作业实践.     

直三棱锥式容器最小盛物量数学建模

借助微积分和解析几何等数学知识,通过数学建模对满足相应条件的直三棱锥式容器的最小盛物量问题进行探讨,得出了计算直三棱锥式容器在约束条件下的最小盛物量的一般性公式和操作方法,并将结论进行了应用推广.     

一道反常积分习题及其应用

对一道反常积分习题提供了一个简洁的证明,所采用的方法是反常积分的定义,而后将这道习题作为定理,用其解答了五个例子,这五个例子涉及到正项级数,二重积分,三重积分等.     

某些Ruzsa数$R_m$的新上界

For A ■ Z m and n ∈ Z m ,let σ A (n) be the number of solutions of equation n = x + y,x,y ∈ A.Given a positive integer m,let R m be the least positive integer r such that there exists a set A ■ Z m with A + A = Z m and σ A (n) ≤ r.Recently,Chen Yonggao proved that all R m ≤ 288.In this paper,we obtain new upper bounds of some special type R kp 2 .     

关于Mori整环的$w$-全局变换环的注记

Let R be a domain and let Rwg be the w-global transform of R. In this note it is shown that if R is a Mori domain, then the t-dimension formula t-dim（Rwg） = t-dim（R） - 1 holds.     

算子空间上的左乘映射

Let X be a separable infinite dimensional Banach space and B(X) denote its operator algebra,the algebra of all bounded linear operators T : X → X.Define a left multiplication mapping LT : B(X) → B(X) by LT (V ) = T V,V ∈ B(X).We investigate the connections between hypercyclic and chaotic behaviors of the left multiplication mapping LT on B(X) and that of operator T on X.We obtain that LT is SOT-hypercyclic if and only if T satisfies the Hypercyclicity Criterion.If we define chaos on B(X) as SOT-hypercyclicity plus SOT-dense subset of periodic points,we also get that LT is chaotic if and only if T is chaotic in the sense of Devaney.     

拟变分包含与不动点问题公共解的迭代算法

By introducing the resolvent operator associated with a maximal monotone mapping, the author obtains a strong convergence theorem of a generalized iterative algorithm for a class of quasi-variational inclusion problems, which extends and unifies some recent results.     

分担集合与正规族

This paper deals with the problem of normal families concerning share sets. Moreover, the examples show that the conditions of theorem are necessary.