会长张弘力在中国珠算心算协会第八届会员大会上的讲话

刚才,大家推选我为中国珠算心算协会第八届理事会会长,我感到十分荣幸,感谢财政部党组和各位理事对我的信任。与此同时,也深感责任重大,珠算心算对我而言,是陌生的全新的领域,担任这一领域如此重要的职务,既是莫大的荣誉,也是巨大的挑战,我将珍惜这一荣誉,竭尽全力,与各位理事、各位会员一道,并在你们的支持和帮助下,去迎接挑战。     

会长张弘力在中国珠算心算协会第八届会员大会上的讲话（2014年7月20日）

刚才,大家推选我为中国珠算心算协会第八届理事会会长,我感到十分荣幸,感谢财政部党组和各位理事对我的信任。与此同时,也深感责任重大,珠算心算对我而言,是陌生的全新的领域,担任这一领域如此重要的职务,既是莫大的荣誉,也是巨大的挑战,我将珍惜这一荣誉,竭尽全力,与各位理事、各位会员一道,并在你们的支持和帮助下,去迎接挑战。     

例谈“以退求进”法解题策略

著名数学家华罗庚说过:善于退,足够的退,退到最原始而不失去重要的地方,是学好数学的一个诀窍.这里所谓的退,当然不是逃跑,而是养精蓄锐,蓄势待发,是在为进寻求途径,即以退为进.它的实质是借助转化的数学思想,把复杂的问题简单化,运动的问题静止化,高维问题低维化,变量问题常量化,抽象问题具体化,代数问     

每次进步一点点,奇迹就会发生

香港海洋公园里有一条大鲸鱼,虽然重达8600 kg,却不但能跃出水面6.6m,还能向游客表演各种杂技.面对这条创造奇迹的鲸鱼,有人向训练师请教训练的秘诀.训练师说,在最初开始训练时,我们会先把绳子放在水面之下,使鲸鱼不得不从绳子上方通过,每通过一次,鲸鱼就能得到奖励.渐渐地,我们会把绳子提高,只不过每次提高的幅度都很小,大约只有2 cm,这样鲸鱼不需花费多大的力气就有可能跃过去,并获得奖励.于是,这条常常受到奖励的鲸鱼,便很乐意地接受下一次训练.随着时间的推移,鲸鱼跃过的高度逐渐上升,最后竟然达到了6.6m.     

善待学生的求简精神

在日常教学中,有时会遇到学生对问题解答提出的奇思妙想,一般都是比常规思路更加简捷的方法,但有时学生不能解释为何出现那样的解法,也不知道解法在理论上是否合理,向我们求助时,我们不妨借题发挥,作为探究的好机会,进一步深入思考,善待学生的求简精神,培养学生严谨求实的科学态度.     

浅议初中数学高效课堂教学

现实的数学课堂教学中,我们不难发现,看上去精彩纷呈的一堂课,学生、老师都表现得很积极,课堂气氛也热闹非凡,其实这样的课堂未必高效,而有时看似很普通的常规课,却往往透着高效.有人总认为高效课堂是名师的专利,对于普通老师来说,上好常规课,做到有效就已经是很努力的事情了,高效课堂是遥不可及的海市蜃楼,其实,在教学过程中,只要我们把功夫花在课前,抓住课堂这块教学的主阵地,落实课后反思,高效课堂也能触手可及.     

我与万公称兄弟

古人道"人到七十古来稀",我看万公一点不稀奇.七十的年龄,六十的身体;五十的为人,四十的魄力;三十的激情,二十的志气;叫我如何称呼您:叫万老师太俗气,叫万老又不随意,叫万专家、还是叫万特级……想来想去都不合我意.现代人说:"年龄不是问题",我大胆说:我与万公称兄弟.他,出生无名,家里薄田少地,连名字都是买来的;他,童年时期,内外战争四起,生活中缺吃又少衣;他,身材瘦小,做事缺少力气,但聪明、活泼、淘气、顽皮;他深受父母的励志教育:是男儿汉,有勇气、有志气;敢作敢当、敢为人先,敢争第一!     

浅谈图形语言在解题中的巧用

美国数学家斯蒂恩说:"如果一个特定的问题可以转化为图形,那么,思想就整体地把握了问题,并且能创造性地思索问题的解法."这就表明,解题时若能挖掘问题的几何意义,配以适当的图形,就有利于分析题中数量之间的关系,丰富表象,拓宽思路,化繁为简,化难为易,迅速找出解决问题的方法,提高分析和解决问题的能力,取得以简驭繁的效果.     

空集的自述

我姓空,我的名字叫空集,我是不含任何元素的集合,可谓腹中空空,一无所有,不过你们别小觑我啊,我的本事大着呢!不信,我说出来,别吓你一跳哟!1.特殊的我我是集合大家庭中的一员,不含任何元素的     

双曲线成双 旋转表示来帮忙

在解有关反比例函数问题时,如果可以找到这样一个合适的点,这个点往往在坐标轴上,而且有垂直于(或者平行于)坐标轴的直线过此点.可设这个点的坐标,再根据题目中的等量关系,依次得到其他点的坐标,然后根据题目需要,将坐标转化为线段的长,从而得到线段之间的关系或者某些图形的面积,为问题的解答提供方便.这种先设某点坐标,然后逐一表示其他点的坐标的方法,叫旋转表示法.这种方法在解决两条双曲线问题中的应用十分广泛.本文以2010年中考试题为例,说明这种方法的应用,供同行参考.     

-inclusion sets for eigenvalues of a tensor

In this paper, we mainly focus on new inclusion sets for eigenvalues of a tensor. First, we propose new inclusion sets for eigenvalues of a tensor, which are sharper than some existing inclusion sets, and obtain the law of distribution of the number of eigenvalues for a tensor. Second, two new classes of tensors are introduced. Third, some bounds on the spectral radii for nonnegative tensors are given. Fourth, some checkable sufficient conditions for the positive definiteness (positive semidefiniteness) of some classes of even-order real symmetric tensors are obtained.     

关于图的团符号控制数

引入了图的团符号控制的概念,给出了n阶图G的团符号控制数γks(G)的若干下限,确定了几类特殊图的团符号控制数,并提出了若干未解决的问题和猜想.     

投射根和亚投射模

本文研究了投射根和亚投射模的性质.利用Noether环、Noether模的性质给出了亚投射模、投射根是投射的条件,环的投射根为零、幂等的条件.最后,给出了一些例子.本文的大部分结果是陈焕艮等人的一系列主要结果的推广.     

Linear covering codes and error-correcting codes for limited-magnitude errors

The concepts of a linear covering code and a covering set for the limited-magnitude-error channel are introduced. A number of covering-set constructions, as well as some bounds, are given. In particular, optimal constructions are given for some cases involving small-magnitude errors. A problem of Stein is partially solved for these cases. Optimal packing sets and the corresponding error-correcting codes are also considered for some small-magnitude errors.     

短阵乘积和重排不等式的推广

In this paper, some inequalities for sequence rearrangement and matrix product areestablished. The authors extend and improve some known results, and show that there aresome errors in reference on inequalities for sequence rearrangement by examples,     

图的因子和因子分解的若干进展

本文综述了图的的因子和因子分解近年来的一些新结果。主要有图的因子与各种参数之间的关系,图有某种因子的一些充分必要条件,特别是图有ｋ－因子的一些充分条件以及关于图的因子分解和正交因子分解的一些新结果。文中提出了一些新的问题和猜想。     

General Hardy type inequality for seminormed fuzzy integrals

Hardy type inequality for seminormed fuzzy integrals based on an aggregation function is studied in a rather general form. The main results of this paper generalize some previous results. Also, some conclusions are drawn and some problems for further investigations are given.     

Product of some elements of finite groups

In this paper, some sufficient and necessary conditions for the commutative product of two elements of finite groups are given. Moreover, some results are obtained by investigating the product of some elements.     

ROBUST GLOBAL EXPONENTIAL STABILITY OF UNCERTAIN IMPULSIVE SYSTEMS

By using the quasi-Lyapunov function, some sufficient conditions of global exponential stability for impulsive systems are established, which is the basis for the following discussion. Then, by employing Riccati inequality and Hamilton-Jacobi inequality approach, some sufficient conditions of robust exponential stability for uncertain linear/nonlinear impulsive systems are derived, respectively. Finally, some examples are given to illustrate the applications of the theory.     

Global attracting set,exponential stability and stability in distribution of SPDEs with jumps

A novel approach to the global attracting sets of mild solutions for stochastic functional partial differential equations driven by Lévy noise is presented. Consequently, some new sufficient conditions ensuring the existence of the global attracting sets of mild solutions for the considered equations are established. As applications, some new criteria for the exponential stability in mean square of the considered equations is obtained. Subsequently, by employing a weak convergence approach, we try to establish some stability conditions in distribution of the segment processes of mild solutions to stochastic delay partial differential equations with jumps under some weak conditions. Some known results are improved. Lastly, some examples are investigated to illustrate the theory.