结构光焊缝检测传感器设计理论的研究

对电弧光的干扰进行了深入的研究，建立了电弧干扰的光照模型，依据透视变换理论，给出了光源倾斜照射和摄像机斜接收情况下，被检测物体与摄像机这间的一般坐标变换数学模型，这两个模型对结构光传感器的设计具有非常重要的指导意义，基于这两个模型设计的结构光传感已在自动焊接实验中获得了成功的应用。     

Music as Embodied Mathematics: A Study of a Mutually Informing Affinity

The argument examined in this paper is that music – when approached through making and responding to coherent musical structures,facilitated by multiple, intuitively accessible representations – can become a learning context in which basic mathematical ideas can be elicited and perceived as relevant and important. Students' inquiry into the bases for their perceptions of musical coherence provides a path into the mathematics of ratio,proportion, fractions, and common multiples. Ina similar manner, we conjecture that other topics in mathematics – patterns of change,transformations and invariants – might also expose, illuminate and account for more general organizing structures in music. Drawing on experience with 11–12 year old students working in a software music/math environment, we illustrate the role of multiple representations, multi-media, and the use of multiple sensory modalities in eliciting and developing students' initially implicit knowledge of music and its inherent mathematics. This revised version was published online in July 2006 with corrections to the Cover Date.     

数字技术与科技进步

本文讨论并提出数字技术与数学科学的内在联系 .并根据实际的分析和研究 ,认为数字化技术只是信息化促进科技发展的一个阶段 ,尽管数字技术已经并将继续推动科技和生产力的发展速度     

Hamilton-Jacobi-Bellman方程的罚有限元估计

本文的研究对象为Hamilton-Jacobi-Bellman方程,在对该方程作出有限元估计的基础上利用罚有限元方法对其结果进行改进,并得出相应的收敛性和误差估计。     

综述“维修线性流量阀时的内筒设计问题”

综述了竞赛中C题的完成情况与存在问题.     

Epistemological messages conveyed by three high-school and college mathematics textbooks

Mathematics textbooks embody a particular set of assumptions about mathematics or the mathematics intended for students at a particular level. Thus, an epistemological analysis of textbooks can provide some context for understanding, for example, the difficulties many students encounter when moving from high-school to collegiate mathematics. In this study, we consider how typical pre-calculus, calculus, and analysis texts treat the topic of continuity. We find that these texts send conflicting messages regarding the status and purpose of mathematical definitions.     

Notes on contributors

Mathematics in the United States developed slowly over its first one hundred years. Before the appearance of successful mathematics journals, American mathematicians depended on science journals to publish their work. Three journals, the Transactions of the American Philosophical Society, the Memoirs of the American Academy of Arts and Sciences, and the American Journal of Science and Arts, played pivotal roles in the development of a mathematics publication community.     

考虑专家水平的土木工程质量综合评估模型

应用加权集值统计、属性数学和最小方差等方法 ,建立了考虑专家水平的量化综合评估模型 ,对土木工程质量进行多目标多人的综合评估 ,并给出计算实例 .     

北京非典型肺炎数学模型

探讨了北京非典型肺炎数学模型 ,利用动力学和非线性回归方法建立了北京非典型肺炎预测模型 .     

The valuation of life contingencies: A symmetrical triangular fuzzy approximation

This paper extends the framework for the valuation of life insurance policies and annuities by Andrés-Sánchez and González-Vila (2012, 2014) in two ways. First we allow various uncertain magnitudes to be estimated by means of fuzzy numbers. This applies not only to interest rates but also to the amounts to be paid out by the insurance company. Second, the use of symmetrical triangular fuzzy numbers allows us to obtain expressions for the pricing of life contingencies and their variability that are closely linked to standard financial and actuarial mathematics. Moreover, they are relatively straightforward to compute and understand from a standard actuarial point of view.