求高次方程整数解的递推方法

以往求n次方程∑i=0^naix^i=0(ai∈Z)的整数解，是从常数次a0的因数(负因数)搜索而得。这种方法，在计算机上不容易实现。本文给出一种适于计算机求解的递推方法。     

Number sense and the calculating child: Measure,multiplicity and mathematical monsters

ABSTRACT

Children and animals of all kinds are said to develop some degree of number sense. The search for ‘number neurons’ and neural correlates of computational thinking aims to identify biological primitives to explain the emergence of number sense. This work typically looks for the sources of number sense in organisms, but one might extend this search and study the possibility of a calculating matter more generally. Such a speculative project explores the implications of the non-human turn within the posthumanities. In this paper, I draw primarily on the work of Vicky Kirby and Gilles Deleuze in order to focus on becoming-monster through calculation. I show how calculation, as a machinic and empirical act that both serves and troubles images of mathematical truth, has always played a unique role in the production of mathematical monsters. I then discuss calculating children who participate in abacus clubs and annual abacus competitions, calculating at inhuman rates with imaginary abacuses. I argue that a new materialist philosophy of immanence demands a radically new approach to number sense.     

求不定积分的计算过程中不能忽视“区间I”

通过讨论不定积分计算过程中的三种情况,说明不定积分计算过程中不能忽视“区间Ⅰ”。     

关于结构在荷载作用下位移的简便计算方法探讨

通过多年的教学实践，为方便、正确的求出结构在荷载作用下的位移，推导出一个对于不超过三次的任意弯矩图的图乘法的简便计算公式。不需要计算弯矩图的面积和图形的形心坐标，不需要对复杂弯矩图分解成简单图进行叠加运算，只根据杆段弯矩图端部纵标和杆段上分布荷载值，直接套用公式△=∑L/6EI[a(2c h1 d) b(2d h2 c)]，即可求出结构的位移量。     

关于积分概念认识的统一性

针对积分认识的特点,将重积分、曲线积分和曲面积分的认识统一到一元函数的定积分,归纳为定义在上的“点函数”(P)的统一积分形式:lim∑(Pi)△Vi=(P)dV。对积分定义、性质、计算和应用等方面的统一性作了系统的论述,给出了应用上较方便的积分微元法定义,并运用实例对积分认识的统一性进行佐证。     

新型给水管材水力工况对比分析

通过对各种新型给水管材之间水力工况的比较和分析，推得各种管径的新型给水管材与相应公称直径的镀锌钢管单位长度水头损失的比值K，由于管材间水力工况的不同，在工程设计、旅工中更换管材时，不能简单地用相同或相近管径的管材互相替代，而应重新对系统进行水力计算。     

数学计算能力的培养策略探研

计算能力是一项基本的数学能力,培养学生具有一定的计算能力,是数学教学的一项重要任务。教师在数学考试中不难发现学生由于计算出错而丢分的现象,因此在平时的教学中应有意识培养学生的计算能力。文章从明确培养计算能力的目标、培养学生的计算兴趣和计算习惯、家长督促等方面阐述提高学生计算能力的有效途径。     

Time Collocation Method for Structural Dynamic Problems

In order to achieve highly accurate and efficient numerical calculations of structural dynamics, time collocation method is presented. For a given time interval, the numerical solution of the method is approximated by a polynomial. The polynomial coefficients are evaluated by solving alge-braic equation. Once the polynomial coefficients are evaluated, the numerical solutions at any time in the interval can be easily calculated. New formulae are derived for the polynomial coefficients, which are more practical and succinct than those previously given. Two structural dynamic equations are calculated by the proposed method. The numerical solutions are compared with the traditional fourth-order Runge-Kutta method. The results show that the method proposed is highly accurate and computationally efficient. In addition, an important advantage of the method is the simplicity in software programming.     

基于云计算的数据安全的相关问题的探究

HU Nan(School of Big Data, Liaoning Institute of Science and Technology, Benxi Liaoning 117004 China)     

车辆液压传动中湍流的雷诺模型与计算方法

液压传动过程中液体的流动分为两种本质不同的类型：一种是层流，另一种是湍流。湍流的流速、压力等物理参量随时间和空间随机地变化。研究湍流模型和计算方法，对改进车辆液压传动具有指导意义。