试论《周易参同契》以“易”为核心的发展变化观

本文尝试从汉易学所主张的“易一名而含三义”义理出发,来考察《周易参同契》所蕴含的易学思想。从“易简”之义看,《参同契》突出了乾坤二卦法象着宇宙天地的生成变化法则及乾坤体性表现为“自然”而无人为的情态。从“变易”之义看,《参同契》主要是借鉴汉易学的“纳甲说”和“十二消息卦说”,来探讨天地判分之后阴阳之气的变通迭更过程。进而法象修仙之秩序或步骤。以及所应注意的火候进退或身体气息变化等。从“不易”之义看,《参同契》以乾坤二卦为体,坎离二卦为用,来比拟宇宙的张设布列之结构及相应变化过程。《参同契》已将《周易》之义理创造性地运用于炼丹的实践当中。     

不能以"复杂"与"简单"界定中西医学方法--与朱清时院士商榷

对朱清时院士以"复杂性"与"简单性"界定中西医学方法提出质疑,认为简单与复杂是中西医学共同面对的基本矛盾,近年盛行的中西医学"相反"论不利于中西医结合.     

序成六虚上下,数生太极乾坤--今本《周易》卦序排列数学规律三探

今本<周易>序卦是一件完美的数学作品.序卦的分布规律体现于一系列的数列之中,但是,假如这些排列规律彼此间缺乏关联性,显得孤立、分散,便难以真正体现序卦排列的数学规律性.经过更深入的研究,笔者发现这些排列规律并非彼此分散、互不相干的,而是互有关联,整合成一个完美的统一体.序卦排列数学规律其鲜明的特点有四:其一是连续性,其二是周期性,其三是对称性,其四是关联性.连续性、周期性体现其简易性,对称性、关联性体现其统一性.简易性、统一性体现其完美性.     

Transforming three-way arrays to maximal simplicity

Transforming the core array in Tucker three-way component analysis to simplicity is an intriguing way of revealing structures in between standard Tucker three-way PCA, where the core array is unconstrained, and CANDECOMP/PARAFAC, where the core array has a generalized diagonal form. For certain classes of arrays, transformations to simplicity, that is, transformations that produce a large number of zeros, can be obtained explicitly by solving sets of linear equations. The present paper extends these results. First, a method is offered to simplifyJ ×J × 2 arrays. Next, it is shown that the transformation that simplifies anI ×J ×K array can be used to also simplify the (complementary) arrays of order (JK −I) ×J ×K, of orderI × (IK −J) ×K and of orderI ×J × (IJ −K). Finally, the question of what constitutes the maximal simplicity for arrays (the maximal number of zero elements) will be considered. It is shown that cases of extreme simplicity, considered in the past, are, in fact, cases of maximal simplicity.