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
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
By extending the usual Wigner operator to the s-parameterized one as 1/4π2 integral （dyduexp [iu（q-Q）＋iy（p-P）＋is/2yu]） from n=- ∞ to ∞ with s beng a,real parameter,we propose a generalized Weyl quantization...By extending the usual Wigner operator to the s-parameterized one as 1/4π2 integral （dyduexp [iu（q-Q）＋iy（p-P）＋is/2yu]） from n=- ∞ to ∞ with s beng a,real parameter,we propose a generalized Weyl quantization scheme which accompanies a new generalized s-parameterized ordering rule.This rule recovers P-Q ordering,Q-P ordering,and Weyl ordering of operators in s = 1,1,0 respectively.Hence it differs from the Cahill-Glaubers’ ordering rule which unifies normal ordering,antinormal ordering,and Weyl ordering.We also show that in this scheme the s-parameter plays the role of correlation between two quadratures Q and P.The formula that can rearrange a given operator into its new s-parameterized ordering is presented.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
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Project supported by the National Natural Science Foundation of China (Grant Nos. 11175113 and 11147009)the Natural Science Foundation of Shandong Province of China (Grant No. ZR2010AQ027)the Program of Higher Educational Science and Technology of Shandong Province,China (Grant No. J10LA15)
文摘By extending the usual Wigner operator to the s-parameterized one as 1/4π2 integral （dyduexp [iu（q-Q）＋iy（p-P）＋is/2yu]） from n=- ∞ to ∞ with s beng a,real parameter,we propose a generalized Weyl quantization scheme which accompanies a new generalized s-parameterized ordering rule.This rule recovers P-Q ordering,Q-P ordering,and Weyl ordering of operators in s = 1,1,0 respectively.Hence it differs from the Cahill-Glaubers’ ordering rule which unifies normal ordering,antinormal ordering,and Weyl ordering.We also show that in this scheme the s-parameter plays the role of correlation between two quadratures Q and P.The formula that can rearrange a given operator into its new s-parameterized ordering is presented.
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.
