一种可能的黑洞内部度规

本文提出一种可能的黑洞内部时空度规,在特殊条件下分别过渡到 Schwarzchild 黑洞内部度规和 Gonzalez-Diaz 黑洞内部度规,并证明了这一黑涧内部度规是无奇性的.     

度量空间中的Orlicz—Sobolev容量

本文给出了度量空间中的Orlicz-Sobolev空间及Orlicz-Sobelev容量的概念，并研究了它们的一些基本性质．     

距离概念的生成分析

以距离概念的形成与发展为研究对象,分析与之相关的数学概念--绝对值、模、范数、内积等概念间多层次的逻辑结构关系,为探讨用现代数学的思想观点去把握中学数学中某些概念乃至理论的本质和关键提供一个范例.     

论路由器中的路由选择

文章介绍了影响路由器中路由选择的因素,以及路由选择的全过程.     

A practical iterative two-view metric reconstruction with uncalibrated cameras

This paper presents a practical iterative algorithm for two-view metric reconstruction without any prior knowledge about the scene and motion in a nonsingular geometry configuration. The principal point is assumed to locate at the image center with zero skew and the same aspect ratio, and the interior parameters are fixed, so the self-calibration becomes focal-length cali- bration. Existing focal length calibration methods are direct solutions of a quadric composed of fundamental matrix, which are sensitive to noise. A quaternion-based linear iterative Least-Square Method is proposed in this paper, and one-dimensional searching for optimal focal length in a constrained region instead of solving optimization problems with inequality constraints is applied to simplify the computation complexity, then unique rotational matrix and translate vector are recovered. Experiments with simulation data and real images are given to verify the algorithm.     

几种集合的Hausdorff维数

在分形几何研究中,度量空间中集合的Hausdorff维数是一个很重要的问题,有许多研究者都进行了深入的研究,得出一些重要的结果,但是对于一般集合来说,计算其Hausdorff维数还是一个难度比较大的问题。针对一些特殊的实数列组成的点集讨论了求其Hausdorff测度和Hausdorff维数问题,并证明了几个结论,通过这些结论可以比较容易的计算一些具有特殊特点的集合的Hausdorff维数。     

Teachers’ Concepts of Spatial Scale: An international comparison

Metric scale is an important concept taught as part of science curricula across different countries. This study explored metric and relative (body-length) scale concepts of inservice (N?=?92) and preservice (N?=?134) teachers from Austria, and Taiwan, and their concepts were compared with those of teachers from the USA. Participants completed three assessments: the Scale Anchoring Objects (SAO), Scale of Objects Questionnaire (SOQ), and a subsample of participants were interviewed with the Learning Scale Interview. A Rasch analysis was conducted with the SAO and SOQ and results showed that the Rasch model held for these assessments, indicating that there is an underlying common dimension to understanding scale. Further analyses showed that accuracy of knowledge of scale measured by the SAO and SOQ was not related to professional experience. There were significant differences in teachers’ accuracy of scale concepts by nationality. This was true for both metric and body-length SAO assessments. Post hoc comparisons showed that the Austrian and Taiwanese participants were significantly more accurate than the US sample on the SAO and SOQ. The Austrian participants scored significantly higher than the US and the Taiwanese participants. The results of the interviews showed that the Taiwanese experienced teacher participants were more likely to report learning size and scale through in-school experiences than the Austrian or the US participants. US teachers reported learning size and scale most often through participating in hobbies and sports, Taiwanese teachers reported learning scale through sports and reading, and Austrian teachers most often noted that they learned about scale through travel.     

Banach空间上非零有界线性泛函导出的正锥与半序

证明了Banach空间X上任意非零有界线性泛函f都可以诱导出一个正锥P,并且此正锥导出的半序≤P与f导出的半序≤本质上是一致的.     

非紧L-凸度量空间中的极大元定理及其对抽象广义矢量平衡问题的应用

利用非紧L-凸度量空间中建立的极大元定理,在非紧L-凸度量空间中新建了抽象广义矢量平衡问题的平衡存在定理。     

非紧L—凸度量空间中极大极小不等式的解集性质及其应用

研究了非紧完备L—凸度量空间中极大极小不等式的解集的性质,作为应用,进一步研究了非紧L—凸度量空间中极大元集、鞍点集、Ky Fan截口和相交点集的性质,获得了非紧L—凸度量空间中的Fan—Browder型不动点定理。