Voronoi图在足球机器人规划中的应用研究

Voronoi图是计算几何的一个重要分支,它在计算几何理论和应用中发挥着重要作用。在Voronoi图已有的理论基础之上,利用Voronoi图的几何特性分析并解决足球机器人的任务规划问题。     

概率中的几何概型与古典概型的“误”与“悟”

本文在解决古典概型与几何概型求概率的问题上给出了详细的分析,从怎样区分所给问题是否为古典概型还是几何概型,以及对两种概型具体应如何解决问题求概率给出了详细的阐述。     

用几何画板软件探讨含有参数的函数问题

含有参数的函数问题往往比较复杂,利用几何画板很容易绘制出函数的图像,这就为我们解决这类问题提供了一个进行数学实验的环境。     

《西方经济学》中几何弹性表述探讨

针对现有西方经济学教科书中对几何弹性只表示数值的方式,本文引入数学中的有向线段的概念,使几何弹性不仅能表示弹性的大小,而且能表示弹性的正负。本文意在使几何弹性从只能表示需求价格弹性扩展到能表示如需求交叉弹性、需求收入弹性等其他较一般的弹性。这种扩展的几何弹性表示方法能更加简单、快捷地解决一些实际问题。     

车削细长丝杆的技术应用

车细长轴是车削的难点,而加工细长丝杆就更困难,车削细长丝杆中根据工艺要点,抓住跟刀架与中心架的使用。解决工件的热度形伸长及合理选择几何参数,问题就可解决。     

表示群及广义表示群

本文得到了射影表示中的表示群及广义表示群的一个结果,Schur最早证明了表示群的存在性,本文对这一结果进行了推广,证明了广义表示群(即具有射影提升性且阶大于表示群的阶的群)的存在性,并对广义表示群的阶的形式给出了一个刻划.     

基于圆和圆环点的摄像机线性标定

本文提出了一种基于圆和圆环点的线性自标定方法。该方法的平面模板要求圆内有3组两两正交的直径,从3个或多个不同的方位摄取平面圆模板的图像。根据射影几何调和共轭和交比不变的性质,求出6条直径灭点的坐标。由3组两两正交的直径和拉盖尔定理的推论解出圆环点的图像坐标。利用圆环点的性质得到关于内参数的约束方程,从而线性的求出摄像机的5个内参数。模拟和真实图像实验表明,该方法精确度较高,鲁棒性较强,有一定的实用性。     

几何工具优化营销活动

几何,是通过直观的图形表现某些复杂的关系.事实上,几何也可以成为一种解决营销体系中纷繁复杂关系的工具.     

几何工具优化营销活动

几何，是通过直观的图形表现某些复杂的关系。事实上。几何也可以成为一种解决营销体系中纷繁复杂关系的工具。     

几何工具优化营销活动

几何，是通过直观的图形表现某些复杂的关系。事实上。几何也可以成为一种解决营销体系中纷繁复杂关系的工具。     

空间问题代数化研究

数学教学中立体几何的证明问题是非常抽象的,也是立体几何证明的难点所在,本文的研究属于应用对策研究,旨在通过转化、引入向量和球面坐标变换等数学工具,对立体几何空间问题代数化,从而提出简化立体几何问题的策略。这就为学习立体几何增添了一个有力工具,从而大大降低了学习立体几何的难度。     

Face validity in personality tests: psychometric instruments and projective techniques in comparison

Face validity is a controversial kind of test validity. Personality tests are divided into two big categories: projective techniques and psychometric instruments. They differ also for face validity, which influences the perception that people have of tests themselves. The article reports the scientific debate on face validity, and the results of a study carried out on naive subjects in order to let them compare projective techniques and psychometric instruments on the mere basis of their surface. An ad hoc questionnaire was administered. It asked subjects to compare projective techniques and psychometric instruments by using 13 adjectives. The sample, accidental, is composed of 238 participants, 45 males and 193 females. The data were substantially analyzed through techniques of Correspondence Analysis. Personality tests are principally judged through two dimensions: the aesthetic and the efficacy. The first dimension characterizes in particular projective techniques; the second, psychometric instruments. Although participants acknowledge that psychometric instruments are credible and scientific, there is a clear preference for projective techniques, principally by females, people younger than 22 and participants with lower education. Personality tests have an appearance that is judged by those who look at them. The aesthetic seems to prevail on the efficacy perception, but it would be suitable to carry on the same research with a sample stratified in respect of the personal details measured by the questionnaire.     

Projective testing: Historical foundations and uses for human resources management

The use of projective psychological measures has intrigued scientists and the general public for nearly a century. In the following, we provide the historical and conceptual foundations for a variety of projective measures and review empirical research using them in application to areas relevant to human resource management (HRM). From these reviews, we argue that the slowing of projectives research in HRM applications over the past two decades does not appear to be warranted given these findings. Based on this historical account, we note two major barriers to the use of these measures in HRM. The first is the lack of an HRM-centric literature on projectives, as most research has drawn on theories and measures designed in the context of abnormal attributes. Secondly, subgroups of researchers have historically become mired in what we call philosophical deadlock, wherein the evidence provided by one group does not address the concerns of another and vice versa. We humbly provide some suggestions and hint at future directions for projective measurement in HRM.     

Axiomatic approach to approximate solutions in multiobjective optimization

An axiomatic approach is introduced in order to study the approximate solution map of a vector optimization problem in the image space. We investigate the possibility to formulate an appropriate notion of approximate solutions that is compatible with von Neumann–Morgenstern utility theory. An impossibility result is proved in the sense that, whenever all of the axioms are satisfied, either the set of the approximate solutions is a subset of the exact solutions of the problem, or it coincides with the whole admissible set. Moreover, the geometry of the approximate solution map is studied in some special cases.      

轴向运动夹层梁的非线性振动

本文给出了轴向运动夹层梁问题的描述,并结合材料本构关系和变形几何关系,利用达朗伯原理建立了带有陀螺项的四阶偏微分横向振动方程。建模中,采用了Euler-Bernoulli梁,并没有考虑转动惯量和剪切变形的影响。     

Optimal regime switching and threshold effects

We consider a general control problem with two types of optimal regime switch. The first one concerns technological and/or institutional regimes indexed by a finite number of discrete parameter values, and the second features regimes relying on given threshold values for given state variables. We propose a general optimal control framework allowing to derive the first-order optimality conditions and in particular to characterize the geometry of the shadow prices at optimal switching times (if any). We apply this new optimal control material to address the problem of the optimal management of natural resources under ecological irreversibility, and with the possibility to switch to a backstop technology.     

Projective system approach to the martingale characterization of the absence of arbitrage

The equivalence between the absence of arbitrage and the existence of an equivalent martingale measure fails when an infinite number of trading dates is considered. By enlarging the set of states of nature and the probability measure through a projective system of perfect measure spaces, we characterize the absence of arbitrage when the time set is countable.     

荔波县年降水的ARMA预测模型

文章应用时间序列分析方法,对贵州省荔波县多年降水系列进行分析,将其分解为趋势项、周期项和平稳随机项,建立了时间序列分解预测模型,实例验证结果令人满意,表明了该模型的有效性和适用性,其预测的结果可以用作荔波县旱情预测的参考依据。     

Characterization of optima in smooth Pareto economic systems

Simple techniques of calculus and geometry are used to study and characterize the optima of pure exchange economies in which the utility functions are smooth but not necessarily convex. It is also shown how one can reduce the problem of optimizing p functions on the manifold of states to that of maximizing a single function on a submanifold of this space. Two models are described: one in which a person cannot trade to an optimum unless he starts at one; and one in which a person cannot even get near a local Pareto optimum along continuous ‘trade curves’ from most initial distributions. Finally, the set of optima is described for a generic set of utility mappings.