图形屏幕上的三维度量

本文利用轴测投影原理和性质，阐述了在计算机图形屏幕上如何建立常见的轴测坐标系，给出了在二维的图形屏幕 上进行三维坐标的度量方法以及三维点坐标与二维屏幕默认坐标之间的换算公式，并以一个实例说明这种方法在绘制曲面图形 时的简便与简洁。     

扩散过程样本的Holder连续性及其应用

本文讨论扩散过程样本的Ｈｏｌｄｅｒ连续性，在局部Ｌｉｐｓｃｈｉｔｚ条件下，我们证明了扩散过程样本类似于Ｂｒｏｗｎ运动样本一样的Ｈｏｌｄｅｒ连续性，进一步，我们还了扩散过程样本的象与图集的Ｈａｕｓｄｒｏｆｆ维数。     

凸轮—连杆机构运动的计算机辅助分析

本文提出了旋转坐标系的概念,从而不仅可将文献对低付机构的运动分析方法运用到含有高付的凸轮一连杆机构中,而且不必“高付低代”,即可进行机构在一个运动循环中的运动分析。本文编制了程序设计框图和程序,并通过实例给出了部分计算结果及线图。该程序设计框图和子程序“SUB”对其他机构运动分析具有一定的通用性。     

坐标测量机的空间误差检测及误差修正

如何简单、迅速地获取坐标测量机的机构误差,并对其进行软件修正,是近年来国内外学者研究的一个重要课题。本文研究了三坐标测量机的误差修正理论及用三维检具检测测量机误差的方法,提出了空间球检具晶格移位法误差检测原理和多项式拟合的误差函数获得方法,并将其应用于一台中型的坐标测量机的误差修正中,收到了满意的效果。     

关于二重极限教学的一点注记——与《微积分解题方法与技巧》一书的作者商榷

本文首先对《微积分解题方法与技巧》一书中某题的解法提出质疑;然后研究了三种不同情形下可以得出不同的结果;进而否定了该书的解法;最后指出,被高等数学广泛采用的“极坐标代换法”不能直接用于二重极限,并给出了理论上的解释和证明。     

基于逻辑相似性的运动检索算法

针对基于内容的人体运动检索问题,提出了一种基于逻辑相似性的运动数据检索方法。首先,针对特定人体运动序列数据,使用自组织网络映射算法对运动数据进行预处理,找出运动数据帧的最佳匹配单元。然后,应用数据编码规则对匹配单元进行量化及编码处理,获得基于符号化表示的运动描述符。基于符号化表示的描述符建立运动序列索引机制,应用多分辨率框架进行运动模式匹配。最后,按照模式匹配结果进行运动相似性排序,输出检索结果。在CMU运动数据库中的试验结果表明了算法有效性。     

对角度规谐和条件下不存在引力辐射和引力波

证明了在对角度规谐和条件下,在不存在引力辐射和引力波,并对Ｂｏｎｄｉ引力平面波和引以立波进了讨论。     

坐标动量几率相关分布的辛普森法研究

用辛普森法研究了不同体系的粒子在动量空间和坐标空间的几率分布的相关性及坐标和动量的分布宽度之积与宽度内所含几率的关系。     

Milestone of the meridian science──970th anniversary of the Chinese Bronze Statue of Meridian

For more than a thousand years, Chinese people were aware of the transmitted sensations by the application of needles on the body surface. This practice is called acupuncture. Acupuncture had been recorded and transcribed in writings and in drawings, until finally the acupoints were inscribed onto a bronze statue. The bronze statue was called the Meridian Figure. Deeply embodied in the bronze statue is a tripartite confrontation-prism representation of the humans body. This concept was a great scientific achievement in ancient China. The author traces the history of Meridian science described in traditional Chinese medical terms. Then he explores a clear analogy of the meridian pathway (MP) phenomenon. In a model system, by using a simple segmental in vertebrate, certain parallels can be demonstrated with the meridian concept. For example, the author demonstrated a clear correlation rule among the central mechano-sensory channels, and characteristics of positional discrimination in individual nerve cells from different receptive field inputs. The evidence suggests that the MP phenomenon is an objective neurobiological response. To clarify the research objective in this paper, the author suggests that the MP is a bi-directional pathway along which a positional message signal is transmitted. This phenomenon is evoked by physical stimulation, transmitted linearly across the human body segments, and is perceived by the brain. The MP consists of low resistance paths, is connected by the liquid media contained in the apposite membranous structure. At the cellular level, the regulation functions of MP must pass through along this low resistance path. Two aspects of the modern Meridian research are the functional regulation and the mechanism of intercellular liquid modulation at the nanometer level.     

终周期双峰映射拓扑熵的计算

利用符号动力学的揉理论,讨论双峰映射拓扑熵的计算．对于具有重要意义的终周期揉序列对,给出了决定其拓扑熵的揉行列式的解析表达式．