Let G be a simple connected graph with order not less than 3,a k-proper edge coloring of G is called adjacent-strong if for arbitrary two adjacent vertices which are incident to different sets of colored edges.

Let G be a simple connected graph with order not less than 3, k-proper edge coloring of G is called adjacent strong,if for arbitrary two adjacent vertices which are incident to different sets of colored edges. The minimum number required for an adjacent-strong edge coloring of G is called the adjacent strong edge chromatic number.

The similarity of communities between S2 and S3 was high in the DGGE profiles with primer 341f/534r and 341f/926r,the similarity of communities between S1 and S2 was high in the DGGE profiles with primer(968f/1?401r,) it demonstrated that the similarity and dynamics of communities was different each other based different sets of universal primers.

The positive rate of human papillomavirus was 722%(26/36),750%(27/36),632%(12/19),(P<005),respectively by using three different sets of consensus primer,the total positive rate was 917%(33/36).

Two different sets of oligonucleotide primers were used to amplify the heat-labile (LT)and heat -stable (ST)enterotoxin genes of Enterotoxin Eschebehia coli (ETEC) 314bp and 237bp DNA fragments were amplified by LT,and ST primers from LT and ST genes, respectively.

The removal efficiency of four different sets of beds, namely the reed bed, the Zizania caduciflor bed, the mixing planting bed, and the control bed were studied.

Cancer growth and metastasis require the coordinate change in gene expression of different sets of genes.

A study is made of the possibilities of choosing different sets of slow variables in two-component systems with very different masses of the particles in them.

Formulations of variational problems on maximum lift-drag ratio lifting shapes are considered for different sets of isoperimetric conditions.

A method is specified for constructing systems of functions with the property of orthogonality with respect to two different sets.

The influence of 6-aminocaproic acid on the polymerization of caprolactam has been studied.Samples of five sets of different mole ratios of the catalyst and caprolactam were sealed inseparate tubes and heated at 230±1° in a specially designed tube furnace.They were takenout at various time intervals and analyzed for the contents of monomer,cyclic oligomer andhigh polymer.The average molecular weights of the polymer were also determined.Experimental results showed that the formation of the polymer and the consumption...

The influence of 6-aminocaproic acid on the polymerization of caprolactam has been studied.Samples of five sets of different mole ratios of the catalyst and caprolactam were sealed inseparate tubes and heated at 230±1° in a specially designed tube furnace.They were takenout at various time intervals and analyzed for the contents of monomer,cyclic oligomer andhigh polymer.The average molecular weights of the polymer were also determined.Experimental results showed that the formation of the polymer and the consumption ofthe monomer were both rapid at the beginning of the reaction,then became slow,and finallyapproached a definite proportion.The contents of the cyclic oligomer remained nearly constantthroughout of the reaction course.The ratio of the polymer,monomer and cyclic oligomerapproached a definite value in all five sets of experiments.The number average molecularweights of the polymer raised also rapidly at the beginning,and became gradually slow duringthe course of the reaction.The molecular weights of the sets using smaller quantifies of catalystexceeded,after a certain time interval,those of the sets using larger quantities of the catalyst.At the final stage,the molecular weights of the different sets all approached to their appropriatevalues.It was suggested,in view of these results,that 6-aminocaproic acid acted as the center ofgrowing chain and at the same time as an initiator which induced the formation of new chainsfrom caprolactam.During the course of the reaction,addition polymerization,polycondensa-tion,chain splitting and chain interchange occurred concurrently.Addition polymerizationdominated at the earlier stage,and the polycondensation between macromolecules followed.Thesystem of ultimate equillibrium between monomer,cyclic oligomer,high polymer and waterwas finally established by chain splitting and chain interchange.

The purpose of this Work is to develop a method for solving the boundary value problem of the exact theory of water waves. The boundary value problem of mixed type of harmonic functions with unknown and non-linear boundary conditions has been reduced to the boundary value problem of mixed type of harmonic functions with known and all-linear boundary conditions. The present metnod has been applied to finding first-order approximate solutions for two different sets of boundary conditlons, and the results...

The purpose of this Work is to develop a method for solving the boundary value problem of the exact theory of water waves. The boundary value problem of mixed type of harmonic functions with unknown and non-linear boundary conditions has been reduced to the boundary value problem of mixed type of harmonic functions with known and all-linear boundary conditions. The present metnod has been applied to finding first-order approximate solutions for two different sets of boundary conditlons, and the results obtained are in agreement with that obtained by Pohle and by Penney and Thornhill.

Starting from the conditions which should be satisfied by the existence of different choice in the phase shift analysis, in this paper the general ambiguity in the analysis of elastic scattering of particles with arbitrary spins has been discussed. The transformation matrices among the different sets of phase shift are given, the real parameters involved are determined by the system of second order algebraic equations. The problem of ambiguity in the phase shift analysis therefore is reduced to the problem...

Starting from the conditions which should be satisfied by the existence of different choice in the phase shift analysis, in this paper the general ambiguity in the analysis of elastic scattering of particles with arbitrary spins has been discussed. The transformation matrices among the different sets of phase shift are given, the real parameters involved are determined by the system of second order algebraic equations. The problem of ambiguity in the phase shift analysis therefore is reduced to the problem of finding the teal roots of those equations. The number of different sets of real roots is twice that of different phase shift choice. Therefore, the kinematical ambiguity in the phase shift analysis in general is solved. When the channel spin is 1/2, it has been shown that only two sets of phase shift exist; when the channel spin is 1, only two sets of phase shift are given also, therefore it has been shown that the Minami's ambiguity is the whole ambiguity in these cases. When the channel spin is 3/2, it has been found that there are four different sets of phase shift. Therefore, in addition to the known transformation there are two new transformation matrices in that case. In general, the ambiguity in the phase shift analysis corresponds to the motion of spin which conserves the components of spin-tensors in the direction of momentum, and the parameters which characterize those general spin motion take the fixed values. In our discussion it has been shown that the systems of algebraic equations which are satisfied by the real parameters in the transformation matrices in the whole integral spin cases are quite different from that in the half integral spin cases. Therefore, the numbers of real roots in those two cases are also different, this means that the numbers of different phase shift sets are quite different. From the properties of those algebraic equation it has been suggested that the ambiguity in the case of integer spin is much smaller than that in the case of half integer spin.