半模糊凸模糊映射

In this paper, a new class of fuzzy mappings called semistrictly convex fuzzy mappings is introduced and we present some properties of this kind of fuzzy mappings. In particular, we prove that a local minimum of a semistrictly convex fuzzy mapping is also a global minimum. We also discuss the relations among convexity, strict convexity and semistrict convexity of fuzzy mapping, and give several sufficient conditions for convexity and semistrict convexity.     

具有脉冲的BAM型神经网络概周期解的存在性与稳定性

This paper discusses a class of the bidirectional associative memories（BAM） type neural networks with impulse.By using the Banach fixed point theory and some analysis technology,we obtain the existence of almost periodic solution and stability under some sufficient conditions.     

一类非凸的不可定向交叉数的序列

It is well known that finding the crossing number of a graph on nonplanar surfaces is very difficult.In this paper we study the crossing number of the circular graph C（10,4） on the projective plane and determine the nonorientable crossing number sequence of C（10,4）.On the basis of the result,we show that the nonorientable crossing number sequence of C（10,4） is not convex.     

极大谱距离的注记

Two equivalent conditions are given for the non-commutative unital C^＊-subalgebras of B（H） algebras A and B to be quantum C^＊ independent.     

增生映射的扰动理论对与广义(p,q)-Laplace算子相关的非线性椭圆系的应用

Using perturbation results on the sums of ranges of nonlinear accretive mappings of Calvert and Gupta, we present some abstract results for the existence of the solutions of nonlinear Neumann elliptic systems which is related to the so-called generalized （p, q）-Laplacian in this paper. The systems discussed in this paper and the method used extend and complement some of the previous work.     

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.     

第一型曲线积分在求柱体侧面积中的应用

针对学生在应用二重积分求柱体侧面积中所遇到的实际困难,指出了第一型曲线积分的几何意义,并通过四道例题给出了第一型曲线积分在求柱体的侧面积时的应用.     

多元函数积分的一种特殊算法

当积分区域具有某种对称性时,利用函数投诉分解式,可以化简并计算有关多元函数的各种积分.     

一类曲面积分的简单计算与推广

第一类曲面积分的积分表达式具有如下特点时:(1)积分曲面是可求曲面面积的曲面;(2)被积函数是单变量函数或可化为单变量函数的函数,利用积分元素法,能将其直接化为定积分计算,这种简单的算法还可以推广到计算具有类似特征的三重积分.     

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.