We compare Newton’s force law of universal gravitation with a corrected simple approach based on Bhandari’s recently presented work, where the gravitation constant G is maintained. A reciprocity relation exists betw...We compare Newton’s force law of universal gravitation with a corrected simple approach based on Bhandari’s recently presented work, where the gravitation constant G is maintained. A reciprocity relation exists between both alternative gravity formulas with respect to the distances between mass centers. We conclude a one-to-one mapping of the two gravitational formulas. We don’t need Einstein’s construct of spacetime bending by matter.展开更多
In this paper, the general calculation formulas of radial matrix elements for relativistic n-dimensional hydrogen atom of spin S=0 are obtained, and the recurrence relation of different power order radial matrix eleme...In this paper, the general calculation formulas of radial matrix elements for relativistic n-dimensional hydrogen atom of spin S=0 are obtained, and the recurrence relation of different power order radial matrix elements are also derived.展开更多
In this paper,the median formula of n-simplex in n-Euclidean space En is proved,and using this formula,we obtain serveral inequalities related the median lines in n-simplex.
In this paper,by means of the classical Lagrange inversion formula,the authors establish a general nonlinear inverse relation as the solution to the problem proposed in the paper[J.Wang,Nonlinear inverse relations for...In this paper,by means of the classical Lagrange inversion formula,the authors establish a general nonlinear inverse relation as the solution to the problem proposed in the paper[J.Wang,Nonlinear inverse relations for the Bell polynomials via the Lagrange inversion formula,J.Integer Seq.,Vol.22(2019),Article 19.3.8].As applications of this inverse relation,the authors not only find a short proof of another nonlinear inverse relation due to Birmajer,et al.(2012),but also set up a few convolution identities concerning the Mina polynomials.展开更多
[Objectives]This study aimed to establish a QAMS(quantitative analysis of multi-components by single-marker)method for simultaneous determination of four phenolic acids,salvianolic acid B,tanshinol,lithospermic acid a...[Objectives]This study aimed to establish a QAMS(quantitative analysis of multi-components by single-marker)method for simultaneous determination of four phenolic acids,salvianolic acid B,tanshinol,lithospermic acid and rosmarinic acid in Radix Salviae Miltiorrhizae by HPLC and conduct methodological investigation.[Methods]Salvianolic acid B,with moderate retention time,good resolution,great response value and easy availability was selected as the internal standard,and the relative retention values and relative correction factors between tanshinol,rosmarinic acid,lithospermic acid and salvianolic acid B were established.The results of QAMS were compared with those of external standard method to verify the accuracy and applicability of QAMS.[Results]There were no significant differences between the calculated values of QAMS and the measured values of external standard method.The relative deviation was less than 3%,and the relative correction factors obtained from the experiment were credible.[Conclusions]QAMS can be used to determine the contents of phenolic acids in Radix Salviae Miltiorrhizae formula granules.展开更多
It is very difficult, sometimes impossible, to get a formula solution of recurrence relation, even for the case of homogeneous recurrence with one indite. In this paper, according to the principle of soluting algebrai...It is very difficult, sometimes impossible, to get a formula solution of recurrence relation, even for the case of homogeneous recurrence with one indite. In this paper, according to the principle of soluting algebraic equation, we present the formula of solution for a class of recurrnce relations with two indices by appling iteration and induction. It provides a concrete model to solve the concerning problems with modern computing tools.展开更多
文摘We compare Newton’s force law of universal gravitation with a corrected simple approach based on Bhandari’s recently presented work, where the gravitation constant G is maintained. A reciprocity relation exists between both alternative gravity formulas with respect to the distances between mass centers. We conclude a one-to-one mapping of the two gravitational formulas. We don’t need Einstein’s construct of spacetime bending by matter.
文摘In this paper, the general calculation formulas of radial matrix elements for relativistic n-dimensional hydrogen atom of spin S=0 are obtained, and the recurrence relation of different power order radial matrix elements are also derived.
文摘In this paper,the median formula of n-simplex in n-Euclidean space En is proved,and using this formula,we obtain serveral inequalities related the median lines in n-simplex.
基金supported by the National Natural Science Foundation of China under Grant Nos.11971341 and 12001492the Natural Science Foundation of Zhejiang Province under Grant No.LQ20A010004.
文摘In this paper,by means of the classical Lagrange inversion formula,the authors establish a general nonlinear inverse relation as the solution to the problem proposed in the paper[J.Wang,Nonlinear inverse relations for the Bell polynomials via the Lagrange inversion formula,J.Integer Seq.,Vol.22(2019),Article 19.3.8].As applications of this inverse relation,the authors not only find a short proof of another nonlinear inverse relation due to Birmajer,et al.(2012),but also set up a few convolution identities concerning the Mina polynomials.
基金Supported by High-level Entrepreneurial and Innovative Talent(Team)Project 2015.
文摘[Objectives]This study aimed to establish a QAMS(quantitative analysis of multi-components by single-marker)method for simultaneous determination of four phenolic acids,salvianolic acid B,tanshinol,lithospermic acid and rosmarinic acid in Radix Salviae Miltiorrhizae by HPLC and conduct methodological investigation.[Methods]Salvianolic acid B,with moderate retention time,good resolution,great response value and easy availability was selected as the internal standard,and the relative retention values and relative correction factors between tanshinol,rosmarinic acid,lithospermic acid and salvianolic acid B were established.The results of QAMS were compared with those of external standard method to verify the accuracy and applicability of QAMS.[Results]There were no significant differences between the calculated values of QAMS and the measured values of external standard method.The relative deviation was less than 3%,and the relative correction factors obtained from the experiment were credible.[Conclusions]QAMS can be used to determine the contents of phenolic acids in Radix Salviae Miltiorrhizae formula granules.
基金Supported by the National Natural Science Foun-dation of China (10071059)
文摘It is very difficult, sometimes impossible, to get a formula solution of recurrence relation, even for the case of homogeneous recurrence with one indite. In this paper, according to the principle of soluting algebraic equation, we present the formula of solution for a class of recurrnce relations with two indices by appling iteration and induction. It provides a concrete model to solve the concerning problems with modern computing tools.
