用计算机代数建立R-矩阵与Yang-Baxter方程的解(Ⅰ)

给出用计算机代数系统Ｍａｔｈｅｍａｔｉｃａ建立约束系统的Ｒ－矩阵的统一方法,并将其用于ＣＢ族和ＴＧ族的Ｒ－矩阵。     

AN INVESTIGATION OF THE RELATION BETWEEN COTTON FIBRE PROPERTIES AND YARN QUALITY BY USING HIGH VOLUME INSTRUMENT(HVI)SYSTEM

The objective of this paper is to establish reliable prediction equations relating cotton fibreproperties measured by HVI system and yarn quality,A useful statistical method is adopted for de-veloping a multiple regression model interpreting the relation between the data of Spinlab HVIfibre properties and quality parameters of yarn STQ (Strength Tex Quotient).The percent relativecontribution of a fibre property with respect of STQ is also assessed.The results show that the totalcontribution of the HVI measured fibre properties can account for 77.4% of known variation ofyarn STQ.The main feature of the approach is its flexibility in accommodating all fibre properties.The examination of regression equation showed that it could be well applied to predict STQ ofyarns spun from the same spinning system,but,for different spinning systems and also for yarns ofdifferent linear density,modification of the equation would be needed.     

THE NEW METHOD OF GENERATION OF BINARY TREES FROM ZER0(0) AND ONE(1) CODES

A binary tree can be represented by a code reflecting the traversal of the corresponding regular binary tree in given monotonic order. A different coding scheme based on the branches of a regular binary tree with n-nodes is proposed. It differs from the coding scheme generally used and makes no distinction between internal nodes and terminal nodes. A code of a regular binary tree with nnodes is formed by labeling the left branches by O's and the right branches by l's and then traversing these branches in pre-order. Root is always assumed to be on a left branch.     

THE STRUCTURE AND PROPERTIES OF FINE DENIER HOLLOW POLY(ETHYLENE TEREPHTALATE) FIBRES

Using brighten white and modified PET chips, fine denier hollow fibres (dpf=0.5～1.5) were prepared on a Fuji Filter MSTC-400 and VC-443A drawn machine, whose structure and properties were tested by X-ray diffraction mater, SOM-II sonic velocity meter and Instron-1122 Tensile tester, electron and light microscopy etc,. The results show: fine denier hollow taken-up yarns prepared at low spinning velocity have radial orientation, higher strength and elongation at rupture because radial stress is higher than normal stress. Fine denier hollow drawn yarns with hollow degree up to 18～35％ and high tenacity, together with high crystalline degree and small crystal and amorphous domains, can be empolyed as products.