The weighted generalized inverses have several important applications in researching the singular matrices,regularization methods for ill-posed problems, optimization problems and statis- tics problems.In this paper w...The weighted generalized inverses have several important applications in researching the singular matrices,regularization methods for ill-posed problems, optimization problems and statis- tics problems.In this paper we further research inverse order rules of weighted generalizde inverse. From the view point of munerical algebra, the different methods we used in inverse order rules pro- vide beneficial means for theory and computing of generalized inverse matrices.展开更多
Fractional calculus is a powerful tool for modeling nonlinear systems.It is necessary to discuss the basic properties of fractional order before solving a fractional order model.Using the formula of power function def...Fractional calculus is a powerful tool for modeling nonlinear systems.It is necessary to discuss the basic properties of fractional order before solving a fractional order model.Using the formula of power function defined by local fractional derivative and the chain rule to calculate a compound function,the results are inconsistent.This shows that the chain rule of local fractional derivatives similar to classical calculus is suspicious,and fractional complex transformation based on the chain rule is also suspicious and needs further discussion.In order to overcome this inconsistency,an improved definition of local fractional derivative,which can be regarded as a fractal derivative,is proposed based on the results derived from the relationship between the mass function and the Hausdorff measure.展开更多
As the space gradually becomes a multi-polar and industrialized battlefield, we human beings are entering Space 3.0. In this new era, existing international rules on space arms control can no longer effectively addres...As the space gradually becomes a multi-polar and industrialized battlefield, we human beings are entering Space 3.0. In this new era, existing international rules on space arms control can no longer effectively address increasing security risks such as arms races, armed conflicts, collisions of space objects and competition for space resources. We need more than ever to achieve consensus on space security in the new era to build new space security order.展开更多
One of the assumptions underlying theories of phonological derivation is that the phonological architecture of any language consists of,at least,an abstract underlying form,its surface form and conditions which derive...One of the assumptions underlying theories of phonological derivation is that the phonological architecture of any language consists of,at least,an abstract underlying form,its surface form and conditions which derive the surface form from its underlying form.It is further assumed that the conditions are serially ordered in frameworks which subscribe to the rule ordering such as orthodox generative phonology and lexical phonology.In the present study,these issues are engaged in the case of Uvwie.In particular,the study seeks to investigate the conditions(processes and rules)which derive surface forms from their corresponding underlying forms,and the order in which they apply.Thus the study will examine the different well-motivated phonological rules attested in the derivation of Uvwie formatives,and provide evidence for the order in which the processes apply.The study employe data documented in Ekiugbo(2016),and couched its analysis within rule ordering principle of generative phonology.The study identifies six rules,which are ordered thus:nasal assimilation>glide formation>vowel elision>tone fusion>vowel lengthening>consonant elision.展开更多
In this study,we use the optical theorem to calculate the next-to-leading order corrections to the QCD spectral densities directly in the QCD sum rules for the pseudoscalar and scalar B_(c) mesons.We use experimental ...In this study,we use the optical theorem to calculate the next-to-leading order corrections to the QCD spectral densities directly in the QCD sum rules for the pseudoscalar and scalar B_(c) mesons.We use experimental data for guidance to perform an updated analysis.We obtain the masses and,in particular,decay constants,which are the fundamental input parameters in high energy physics.Ultimately,we obtain the pure leptonic decay widths,which can be compared with experimental data in the future.展开更多
文摘The weighted generalized inverses have several important applications in researching the singular matrices,regularization methods for ill-posed problems, optimization problems and statis- tics problems.In this paper we further research inverse order rules of weighted generalizde inverse. From the view point of munerical algebra, the different methods we used in inverse order rules pro- vide beneficial means for theory and computing of generalized inverse matrices.
基金Major Science and Technology Project in Shanxi Province of China(Nos.20181101008 and 20181102015)Supplementary Platform Project of“1331”Project in Shanxi Province in 2018,China。
文摘Fractional calculus is a powerful tool for modeling nonlinear systems.It is necessary to discuss the basic properties of fractional order before solving a fractional order model.Using the formula of power function defined by local fractional derivative and the chain rule to calculate a compound function,the results are inconsistent.This shows that the chain rule of local fractional derivatives similar to classical calculus is suspicious,and fractional complex transformation based on the chain rule is also suspicious and needs further discussion.In order to overcome this inconsistency,an improved definition of local fractional derivative,which can be regarded as a fractal derivative,is proposed based on the results derived from the relationship between the mass function and the Hausdorff measure.
文摘As the space gradually becomes a multi-polar and industrialized battlefield, we human beings are entering Space 3.0. In this new era, existing international rules on space arms control can no longer effectively address increasing security risks such as arms races, armed conflicts, collisions of space objects and competition for space resources. We need more than ever to achieve consensus on space security in the new era to build new space security order.
文摘One of the assumptions underlying theories of phonological derivation is that the phonological architecture of any language consists of,at least,an abstract underlying form,its surface form and conditions which derive the surface form from its underlying form.It is further assumed that the conditions are serially ordered in frameworks which subscribe to the rule ordering such as orthodox generative phonology and lexical phonology.In the present study,these issues are engaged in the case of Uvwie.In particular,the study seeks to investigate the conditions(processes and rules)which derive surface forms from their corresponding underlying forms,and the order in which they apply.Thus the study will examine the different well-motivated phonological rules attested in the derivation of Uvwie formatives,and provide evidence for the order in which the processes apply.The study employe data documented in Ekiugbo(2016),and couched its analysis within rule ordering principle of generative phonology.The study identifies six rules,which are ordered thus:nasal assimilation>glide formation>vowel elision>tone fusion>vowel lengthening>consonant elision.
基金Supported by the National Natural Science Foundation,China(12175068)。
文摘In this study,we use the optical theorem to calculate the next-to-leading order corrections to the QCD spectral densities directly in the QCD sum rules for the pseudoscalar and scalar B_(c) mesons.We use experimental data for guidance to perform an updated analysis.We obtain the masses and,in particular,decay constants,which are the fundamental input parameters in high energy physics.Ultimately,we obtain the pure leptonic decay widths,which can be compared with experimental data in the future.
