In this paper a connective study of Gould's annihilation coefficients and Abel-Gontscharoff polynomials is presented. It is shown that Gould's annihilation coefficients and Abel-Gontscharoff polynomials are ac...In this paper a connective study of Gould's annihilation coefficients and Abel-Gontscharoff polynomials is presented. It is shown that Gould's annihilation coefficients and Abel-Gontscharoff polynomials are actually equivalent to each other under certain linear substitutions for the variables. Moreover, a pair of related expansion formulas involving Gontscharoff s remainder and a new form of it are demonstrated, and also illustrated with several examples.展开更多
In this paper, by means of Gould-Hsu inverse series relations, we establish several Gould-Hsu inversion chains. As consequence, some new transformation formulae as well as some famous hypergeometric series identities ...In this paper, by means of Gould-Hsu inverse series relations, we establish several Gould-Hsu inversion chains. As consequence, some new transformation formulae as well as some famous hypergeometric series identities are derived.展开更多
In evolutionary theory,we generally believe that the evolution of life is from simple to complex,from single to diverse,and from lower to higher.Thus,the idea of evolutionary progress appears obvious.However,in contem...In evolutionary theory,we generally believe that the evolution of life is from simple to complex,from single to diverse,and from lower to higher.Thus,the idea of evolutionary progress appears obvious.However,in contemporary academic circles,some biologists and philosophers challenge this idea.Among them,Gould is the most influential.This paper first describes Gould’s seven arguments against evolutionary progress,i.e.,the human arrogance argument,anthropocentric argument,no inner thrust argument,no biological base argument,extreme contingency argument,statistical error argument,and bacteria(other than human beings)ruling the earth argument.Gould’s arguments against evolutionary progress have great influence in contemporary evolutionary theory.Thus,it is necessary to conduct a careful philosophical analysis of each of Gould’s arguments to reveal his philosophical mistakes.This research contends that Gould’s arguments against evolutionary progress are invalid.展开更多
文摘In this paper a connective study of Gould's annihilation coefficients and Abel-Gontscharoff polynomials is presented. It is shown that Gould's annihilation coefficients and Abel-Gontscharoff polynomials are actually equivalent to each other under certain linear substitutions for the variables. Moreover, a pair of related expansion formulas involving Gontscharoff s remainder and a new form of it are demonstrated, and also illustrated with several examples.
基金Supported by the Science Foundation of Dalian Nationalities University (Grant No. DC110305)
文摘In this paper, by means of Gould-Hsu inverse series relations, we establish several Gould-Hsu inversion chains. As consequence, some new transformation formulae as well as some famous hypergeometric series identities are derived.
文摘In evolutionary theory,we generally believe that the evolution of life is from simple to complex,from single to diverse,and from lower to higher.Thus,the idea of evolutionary progress appears obvious.However,in contemporary academic circles,some biologists and philosophers challenge this idea.Among them,Gould is the most influential.This paper first describes Gould’s seven arguments against evolutionary progress,i.e.,the human arrogance argument,anthropocentric argument,no inner thrust argument,no biological base argument,extreme contingency argument,statistical error argument,and bacteria(other than human beings)ruling the earth argument.Gould’s arguments against evolutionary progress have great influence in contemporary evolutionary theory.Thus,it is necessary to conduct a careful philosophical analysis of each of Gould’s arguments to reveal his philosophical mistakes.This research contends that Gould’s arguments against evolutionary progress are invalid.
