纽结的Kauffman多项式的状态表示

本文利用平面上的方块结构给出了纽结的Ｋａｕｆｆｍａｎ多项式的新的状态表示，从而讨论了Ｋａｕｆｆｍａｎ多项式和Ｃｏｎｗａｙ多项式的性质。     

带转角站的平面转弯运行胶带输送机

对一种带转角站的平面转弯运行胶带输送机,从理论上分析了其实现平面转弯的机理及转角站转角滚筒的设计依据,给出了转角滚筒上小托辊安装螺旋线升角与胶带机转弯角与胶带机转弯角度之间的关系,并确定了可转弯的角度范围。     

一般对称性投影算符

用投影算符从非对称的尝试波函数中取出满足体系所需对称性的部分是处理量子多体问题的一种常用的方法。本文用一种新的方法推导出这种对称性投影算符的形式。这种方法使不同的对称性投影算符统一在同一个公式和同一个正交条件之中。     

平面齐次多项式系统的局部相图

平面系统在动力系统研究中起着极重要和基础的作用。利用奇点指数和牛顿多边形方法，讨论了一类平面齐次多项式系统在其孤立奇点附近的相图。给出了一些奇点稳定的必要和充分条件，文中考虑的都是实系数系统     

双平面系统中物点成像数目的判定

本文研究了物点发出的光在双平面镜系统中连续反射,多次成像的现象,给出了决定双平面镜系统中物点成像数目的因素和计算方法。     

Automatic Assessment of Fabric Smoothness Grade Using Double CCD Grating Projection

Automatically assessing fabric smoothness grade is very important in the evaluation of fabric appearance. A system for objectively evaluating the fabric smoothness grade based on a grating projection unit and double colored CCD (short form of charge coupled device) was constructed in this paper. Two images captured by different CCD compensated each other which reduced the influence of noises. The application of the four-step phase-shifting method enabled the calculation of the exact phase in a point easy and quick. A large amount of 3D points with three coordinates X, Y and Z were obtained precisely making the definition and calculation of fabric smoothness characters easy. Then four parameters which intuitively denoted the fabric smoothness degree were obtained. Finally, a proper neural network was built, which successfully performed the fabric smoothness classification. The experimental results show that the system is applicable for all the fabric whatever pattern or color. The experimental grades provided by this grating projection system are also highly consistent with the subjective results.     

关于图的星荫度的一个注

图G的曼荫度vas(G)定度为对G进行项点着色且使得G中同色顶点导出的子图的每个连通分支都为星时所需的最少色数,本文证明了平面图和外平面图的曼荫度的平凡上界事实上也是最好的上界.     

Carl du Prel (1839–1899): explorer of dreams, the soul, and the cosmos

Nineteenth-century spiritism was a blend of religious elements, the philosophy of mind, science and popular science and contacts with extraterrestrials were a commonplace phenomenon during spiritistic séances. Using the example of Carl du Prel (1839–1899) I show how his comprehensive mystic philosophy originated in a theory of extraterrestrial life. Carl du Prel used a Darwinian and monistic framework, theories of the unconscious and a Neo-Kantian epistemology to formulate a philosophy of astronomy and extraterrestrial life. He claimed that the mechanism of Darwinian selection is responsible for the distribution of stars and the orbits of the planets. In his speculations on the nature of extraterrestrial life he used the concept of organ projection to argue that technical solutions on earth will be realized organically on other planets and claimed that superior extraterrestrials have quantitatively and qualitatively different senses and thus different forms of intuition. A comparison with Camille Flammarion, spiritist and populariser of astronomy, demonstrates the contextual complexities of spiritism. In contrast to du Prel’s sober Neo-Kantian philosophical speculations, Flammarion was a late proponent of a French esoteric tradition that was rooted in romantic socialism, painted grand cosmological vistas and emphasized reincarnation. I put forward the hypothesis that current discourses on extraterrestrial life are affected by the spiritist tradition mainly through the ‘Golden Age’ science fiction literature of the 1940s and 50s and its successors. However, neither Carl du Prel nor Camille Flammarion contributed significantly to this tradition, which is mainly shaped by the psychical research of J. B. Rhine.     

R^2，1中二次曲面的化简与点的轨迹方程

在R^2，1中根据合同变换法将二次曲面化为标准形，并给予证明。在R^2，1中讨论了任意点到定平面（直线）与到定点的距离之比等于常数的轨迹方程，并按方程中的平方项的系数的正负将其进行了分类。