The process of teachers' continuing education,spoken from a certain meaning,is the process of the exploitation and development of the education resources.

Cultural proletarian 'revolution' is successful at a certain meaning, it achieve final individual 'revolution' purpose, which has met Wang Shuo's pursuit on fame and gain, produced objective literature history value, promoted and accelerated the process commercialized in contemporary literature.

The relation between mankind and nature, from a certain meaning, is reflection that the mankind consumptive behavior, consumptive way exploit, make use of or destruct nature.

The process of teachers' continuing education,spoken from a certain meaning,is the process of the exploitation and development of the education resources.

But the elemert-free glekin methed methods need background grid integral calculus when analyzing, so is not complete Meshless methods by certain meaning.

In some certain meaning, the former can be regarded as the new consideration of the education purpose, and the latter, the new pursuit of the teaching method.

In this paper we give a best boundary-type quadrature formula for S-dimens-ional hyper cube,and by this formula construct a best quadrature formula for S + 1-dimensional spheroid under certain meaning.

Teaching history is the history that, in a sense, means constantly modifying the irrational teaching reality and pursuing and realizing the ideality of teaching .

In a sense, the attempt to rationally understand the consciousness and ideal of human destiny is a major distinction between modern and traditional intellectual.

Using the representations and generators of the ideals of quantum group uq(sl(2)), the authors prove that every non-zero ideal of Uq(sl(2)) can be uniquely in a sense written as a product of some prime ideals.

In stead of the equation, which was shown in certain sense to be of thefirst order, a second order quasi-Newton equation was suggested (Pan [1], 1984).

To some extent, the weighted Moore - Penrose inverse with respect to M and N is a generalization of the generalized Moore - Penrose inverse with respect to M and N.

The solutions of such a sequence of unconstrained minimization problems all exist, and they converge to the solution of the constrained minimization problem in a certain sense.

This paper shows that let P(Z)=a_0+a_1z+a_2z~2+…+a_nz~n (a_k>O. k= 0, 1…, n )be polynomial with positive cofficient, if P (Z) has zeros onright half plane Re (z)≥0, these zeros must be ia some righthalf circular ring, and the result is the best one in sense.

Meaningfulness depended on two variables: the probability of a given form having a certain meaning for a S, and the homogeneity of the meanings a given number of Ss ascribe to this form.

From this point of view products of integral powers (+ and -) of quantities have no meaning by themselves, but a certain meaning can be ascribed to them by convention, letting room for more then one interpretation.

A molecular theory, therefore, gives criteria to associate a certain meaning to a sentence and can explain the concepts used in the language.

Cultural context consists of material elements and of codes that are given a certain meaning.

Further, the advertiser may intend to associate a certain meaning with a new product by pairing it with an existing brand.

Measurement of sgp130 had certain meaning to prognosis.

Some of the bounds were optimal in certain meaning.

Some of the bounds were optimal in certain meaning.

Meaningfulness depended on two variables: the probability of a given form having a certain meaning for a S, and the homogeneity of the meanings a given number of Ss ascribe to this form.

From this point of view products of integral powers (+ and -) of quantities have no meaning by themselves, but a certain meaning can be ascribed to them by convention, letting room for more then one interpretation.

This shows the largeness of the core in a sense other than that defined by Sharky for finite cases.

It was anticipated that the on-line mathematical model would be used to establish a rational in a sense motion control law of such a complicated object.

In a sense, the problem considered in this paper incorporates the classical H2/H∞-and H∞-optimization problems as limiting cases.

Since, in a sense, the boundary layer is a "time scan" of the nonstationary shear perturbation propagation process, in dilatant fluids the boundary layer should definitely be spatially localized.

The most common deviation is stop codon reassignment; i.e., a stop codon is decoded as a sense codon rather than as a signal for translation termination.

In this paper by using the method in [4] the problems of minimal timecontrol are studied for the case when both ends of the trajectory are con-strainted by some giving manifolds. The necssary and some sufficientconditions for optimal contol are getted. The boundary conditions of sys-tems of differential equations are determined and the geometrical sensesof which, i.e. the transveisality conditions, are explained. In addition,the characteristics of the multpliers of Lagrange used in this paper arediscussed. The...

In this paper by using the method in [4] the problems of minimal timecontrol are studied for the case when both ends of the trajectory are con-strainted by some giving manifolds. The necssary and some sufficientconditions for optimal contol are getted. The boundary conditions of sys-tems of differential equations are determined and the geometrical sensesof which, i.e. the transveisality conditions, are explained. In addition,the characteristics of the multpliers of Lagrange used in this paper arediscussed. The above method may also be applied to the optimal control prob-lems in general sense.

In this paper the problems of minimal time control are studied by using the method in [4] for the case when both ends of the trajectory are constrained by some giving manifolds. The necessary and sufficient conditions for optimality are obtained. The boundary conditions of the related systems of differential equations are determined and their geometrical senses, i.e. the transversality conditions, are explained. In addition, the characteristics of the Lagrange multipliers used in this paper are discussed.

In his book 《An Introduction to genetics Statistics》, Kempthorne discussed the variation of generations for the frequencies of the self-sterile genes and of their genotypes, but only in the case of three such genes.The author makes a trial to discuss the general case for any number of self-sterile genes, the genetical structure of the diploid population and the variation of generations.So as to make Kempthornes' discussion with more general consideration, and moreover, two important results have been derived...

In his book 《An Introduction to genetics Statistics》, Kempthorne discussed the variation of generations for the frequencies of the self-sterile genes and of their genotypes, but only in the case of three such genes.The author makes a trial to discuss the general case for any number of self-sterile genes, the genetical structure of the diploid population and the variation of generations.So as to make Kempthornes' discussion with more general consideration, and moreover, two important results have been derived here: 1.In the original population, if the frequencies of every self-sterile gene and of each of their genotypes were equal, and had the mating in the population to be at similar random, the frequencies of self-sterile genes and of their genotypes would keep constant from generation to generation. 2.If a new mutant gene for self-sterility appeared, no matter how low its frequency in the population might be, this new mutant would remain in the population from generation to generation, and at last its frequency tended to 1/N provided the mating in the population being at similar random.

在美国著名的数量遗传学家Kempthorne的著作《An Introduction to GeneticStatistics》中,讨论了自体不育基因的频率以及基因型频率的世代变化规律,Kemp-thorne的讨论只局限于三个自体不育基因情形,对任意数目的情况没有论证。现在,本文试图论证:具有任意数目的自体不育等位基因的二倍体群体的遗传结构世代变化规律,使Kempthorne的讨论具有更一般意义,且在此基础上推出两个重要结论,而这两个结论在某种意义上可以看成群体遗传学理论的基石——Hardy-Weinberg定律的推广。