In this paper, the existence, number and stability of Abel equation's closed solutions axe discussed, and the results in previous papers axe improved. Moreover, the number and stability of the limit cycles of a class of polynomial system with degree n are studied under some conditions by means of the results about Abel equation.

Treating the iso-μ_A or iso-_A molecules A in the A_pB-A_qC pseudobinary system as medium and using the quasi-lattice model,the theory of partial simple solutions is presented to ex- plain the simple behaviour of ternary systems which was discussed by macroscopic thermodynamic method in the author's previous papers.

把 A_pB-AqC 型伪二元系中的等μ_A 或等 _A 的 A 分子当作介质,采用准晶格模型,本文得到了偏简单溶液理论,用于解释前文中用宏观热力学方法讨论过的三元系所特有的一些简单行为.

The TOF number exceeded 8000 mol·mol -1 ·h -1 while it was only 140 mol·mol -1 ·h -1 if no solvent was used in the presence of Pd(phen) 2(PF 6) 2. This result was much higher than that reported in previous papers.

This paper is the improvement and development of our previous papers[1～3], in which a fuzzy random stationary model of earthquake ground motion is established by full consideration of fuzziness and randomness of earthquake loads, and a basic analysis method of fuzzy random response of structures subjected to earthquake is presented.

The fiberization of affine systems via dual Gramian techniques, which was developed in previous papers of the authors, is applied here for the study of affine frames that have an affine dual system.

In this paper, we obtain some other properties of the majorly efficient points and solutions of the multiobjective optimization presented in two previous papers of Hu.

The special case of the results includes the corresponding results in previous papers, extends and unifies a number of known results.

The equation discussed in this paper and the methods used here are extension and complement to the corresponding results of Wei Li and He Zhen's previous papers.

In this paper, a subdivision scheme which generalizes a surface scheme in previous papers to volume meshes is designed.

Mu-feng-chin has been used as a diuretic and dropsic, etc. in Chinese medicine for many years. Four substances have been isolated by the author from a sample of Mu-fong-chi brought in Shanghai, and the details of the isolation and chemical properties of two of them, viz. Mu-fong-chin A and B, have been reported in previous papers of this series elsewhere. The present paper deals with Mu-fong-chin C, which has the molecular formula C_(18)H_(21)O_(10) and a melting point 180-181℃. Mu-fong-chin C was shown...

Mu-feng-chin has been used as a diuretic and dropsic, etc. in Chinese medicine for many years. Four substances have been isolated by the author from a sample of Mu-fong-chi brought in Shanghai, and the details of the isolation and chemical properties of two of them, viz. Mu-fong-chin A and B, have been reported in previous papers of this series elsewhere. The present paper deals with Mu-fong-chin C, which has the molecular formula C_(18)H_(21)O_(10) and a melting point 180-181℃. Mu-fong-chin C was shown to be a phenolic substance, it probably contains phenolic OH, methylenedioxy, aldehyde and methoxy groups.

The simplified Coal characteristic Coefficient β' = 2.35, as proposed in author's two previous papers to ho used with Vr for coal classification, has been for the first time repeatedly proved as shown in many graphs (Fig. 2-Fig 9) to represent (a) the foundamental characteristics of coal, like caking property, heating value, plastic layer thickness. etc. (b) the quality of the side Chain of the coal crystal (c) the percentage proportion of vitrain composition with respect to the other constitutents in...

The simplified Coal characteristic Coefficient β' = 2.35, as proposed in author's two previous papers to ho used with Vr for coal classification, has been for the first time repeatedly proved as shown in many graphs (Fig. 2-Fig 9) to represent (a) the foundamental characteristics of coal, like caking property, heating value, plastic layer thickness. etc. (b) the quality of the side Chain of the coal crystal (c) the percentage proportion of vitrain composition with respect to the other constitutents in petrographic components, during the different stages of coalification. (2) The simplified coal characteristic coefficient β' can be used to substitute the free swelling index, Roga number L.R. and the plastic layer thickness y etc in the coal classification of type together with the volatile matter on combustible basis VP for the coal classification of rank. (graph 10-graph 16) (3) Besides the VP and β' coal classification system,(Fig - 18), Carbon content on combustible basis CP with the free hydrogen H°= (HP=)for coal classification (Fig-23), VP vervus classification (Fig.-24), VP versus H°(Fig. -25) and VP versus (Fig-26) coal classification are also proposed. Comparisons of the different systems are made with the conclusion of adopting VP versus β' as the most logical system. (4) In the VP versus β' graph; the plastic layer thickness y curves (Fig.-27) represent the the rate of vitrinification during the different stages of coalification due to the different constituents of principal peat-forming plant substances. So a new international three-parameter coal classification system is proposed with the volatile matter on combustible basis VP as the first parameter and the simplified coal characteristic coefficient β' as the second principal parameter with the thickness of plastic layer y in mm as the third parameter. (Fig-28)

In two previous papers[1,2] the author presented a generalized theory of local normal modes by introducing the method of slowly varying coefficients-a mathematical method to solve systems of first order linear differential equations with slowly varying coefficients, which are associated with problems of multi-coupled modes in irregular waveguides. However, the theory presented therein was not in a form to adapt itself to problems involving abrupt Changes of the waveguide parameters, which are inevitable...

In two previous papers[1,2] the author presented a generalized theory of local normal modes by introducing the method of slowly varying coefficients-a mathematical method to solve systems of first order linear differential equations with slowly varying coefficients, which are associated with problems of multi-coupled modes in irregular waveguides. However, the theory presented therein was not in a form to adapt itself to problems involving abrupt Changes of the waveguide parameters, which are inevitable in any practical transmission system. The purpose of the present paper is to consider such abrupt changes in the light of the above theory, so that the concept of local normal modes may be used to describe a broader class of problems.