In this paper,we study composition operators on weighted Bergman spaces of Dirichlet series.We first establish some Littlewood-type inequalities for generalized mean counting functions.Then we give sufficient conditio...In this paper,we study composition operators on weighted Bergman spaces of Dirichlet series.We first establish some Littlewood-type inequalities for generalized mean counting functions.Then we give sufficient conditions for a composition operator with zero characteristic to be bounded or compact on weighted Bergman spaces of Dirichlet series.The corresponding sufficient condition for compactness in the case of positive characteristics is also obtained.展开更多
Using Nevanlinna theory and value distribution of meromorphic functions and the other techniques,we investigate the counting functions of meromorphic solutions of systems of higher-order algebraic differential equatio...Using Nevanlinna theory and value distribution of meromorphic functions and the other techniques,we investigate the counting functions of meromorphic solutions of systems of higher-order algebraic differential equations and obtain some results.展开更多
An independent method for paper [10] is presented. Weighted lattice paths are enumerated by counting function which is a natural extension of Gaussian multinomial coefficient in the case of unrestricted paths. Convolu...An independent method for paper [10] is presented. Weighted lattice paths are enumerated by counting function which is a natural extension of Gaussian multinomial coefficient in the case of unrestricted paths. Convolutions for path counts are investigated, which yields some Vandcrmondc-type identities for multinomial and q-multinomial coefficients.展开更多
This paper attempts to form a bridge between a sum of the divisors function and the gamma function, proposing a novel approach that could have significant implications for classical problems in number theory, specific...This paper attempts to form a bridge between a sum of the divisors function and the gamma function, proposing a novel approach that could have significant implications for classical problems in number theory, specifically the Robin inequality and the Riemann hypothesis. The exploration of using invariant properties of these functions to derive insights into twin primes and sequential primes is a potentially innovative concept that deserves careful consideration by the mathematical community.展开更多
We apply Nevanlinna theory of the value distribution of meromorphic functions to study the properties of Nevanlinna counting function and proximity function of meromorphic solutions of a type of systems of complex dif...We apply Nevanlinna theory of the value distribution of meromorphic functions to study the properties of Nevanlinna counting function and proximity function of meromorphic solutions of a type of systems of complex difference equations. Our results can give estimates on the proximity function and the counting function of solutions of systems of difference equations. This implies that solutions have a relatively large number of poles. It extend some result concerning difference equations to the systems of difference equations.展开更多
AIM To provide a simple surrogate marker predictive of liver cirrhosis(LC).METHODS Specimens from 302 patients who underwent resection for hepatocellular carcinoma between January 2006 and December 2012 were retrospec...AIM To provide a simple surrogate marker predictive of liver cirrhosis(LC).METHODS Specimens from 302 patients who underwent resection for hepatocellular carcinoma between January 2006 and December 2012 were retrospectively analyzed. Based on pathologic findings, patients were divided into groups based on whether or not they had LC. Parameters associated with hepatic functional reserve were compared in these two groups using MannWhitney U-test for univariate analysis. Factors differing significantly in univariate analyses were entered into multivariate logistic regression analysis.RESULTS There were significant differences between the LC group(n = 100) and non-LC group(n = 202) in prothrombin activity, concentrations of alanine aminotransferase, aspartate aminotransferase, total bilirubin, albumin, cholinesterase, type Ⅳ collagen, hyaluronic acid, indocyanine green retention rate at 15 min, maximal removal rate of technitium-99 m diethylene triamine pentaacetic acid-galactosyl human serum albumin and ratio of mean platelet volume to platelet count(MPV/PLT). Multivariate analysis showed that prothrombin activity, concentrations of alanine aminotransferase, aspartate aminotransferase, total bilirubin and hyaluronic acid, and MPV/PLT ratio were factors independently predictive of LC. The area under the curve value for MPV/PLT was 0.78,with a 0.8 cutoff value having a sensitivity of 65% and a specificity of 78%.CONCLUSION The MPV/PLT ratio, which can be determined simply from the complete blood count, may be a simple surrogate marker predicting LC.展开更多
In this paper, the relationship between Riemann-Liouville fractional integral and the box-counting dimension of graphs of fractal functions is discussed.
By introducing the thermal entangled state representation, we investigate the time evolution of distribution functions in the dissipative channels by bridging the relation between the initial distribution function and...By introducing the thermal entangled state representation, we investigate the time evolution of distribution functions in the dissipative channels by bridging the relation between the initial distribution function and the any time distribution function. We find that most of them are expressed as such integrations over the Laguerre Gaussian function. Furthermore, as applications, we derive the time evolution of photon-counting distribution by bridging the relation between the initial distribution function and the any time photon-counting distribution, and the time evolution of Rfunction characteristic of nonclassicality depth.展开更多
Background: HIV/AIDS is a pandemic disease and its scourge has had a devastating impact on health, nutrition, food security and overall socioeconomic development in affected countries. Moreover, intervention programme...Background: HIV/AIDS is a pandemic disease and its scourge has had a devastating impact on health, nutrition, food security and overall socioeconomic development in affected countries. Moreover, intervention programmes, which simply employ antiretroviral drugs, have been found to lack effectiveness particularly when the patient is under-nourished. Aim and Purpose: This presented pilot intervention provides evidence that suggests use of local resources as therapeutic nutrition. This can act as a fundamental part of the comprehensive package of care at the country level. Methodology: Local ingredients, which were known for their availability, accessibility, micro and macro-nutrient strengths were selected and optimised into a nutritional functional meal (Amtewa). Daily consumption was ascertained to assess its effects on nutritional status and biomedical indices of the study participants (n = 100) who were/were not taking Highly Active Anti-retroviral Therapy (HAART). Findings: Mean CD4 count for ART-Test group at baseline and sixth months increased by 40.8 cells/mm3 while the ART-Control group decreased 18.12 cells/mm3. This positive outcome qualified Amtewa meal to the next phase of intervention (400 participants) to ascertain its effectiveness on health status of HIV infected subjects and appraise its position within the National Health Services framework as innovative approach to attenuate the progression of HIV to AIDS in Nigeria. Conclusion: Amtewa-based approach in HIV management is innovative, culturally relevant, reliable and requiring low technology in order to assure compliance, sustainability and cost effectiveness. Although the achieved results take the form of specific technology, it suggests that a prolong consumption of the intervention meal (Amtewa) will be suitable to sustain the gained improvements in MUAC and CD4 cell counts thereby slowing the progression of the disease.展开更多
基金supported by the National Natural Science Foundation of China(12171373)Chen's work also supported by the Fundamental Research Funds for the Central Universities of China(GK202207018).
文摘In this paper,we study composition operators on weighted Bergman spaces of Dirichlet series.We first establish some Littlewood-type inequalities for generalized mean counting functions.Then we give sufficient conditions for a composition operator with zero characteristic to be bounded or compact on weighted Bergman spaces of Dirichlet series.The corresponding sufficient condition for compactness in the case of positive characteristics is also obtained.
基金Supported by the National Natural Science Foundation of China（10471065） Supported by the Natural Science Foundation of Guangdong Province（04010474）
文摘Using Nevanlinna theory and value distribution of meromorphic functions and the other techniques,we investigate the counting functions of meromorphic solutions of systems of higher-order algebraic differential equations and obtain some results.
文摘An independent method for paper [10] is presented. Weighted lattice paths are enumerated by counting function which is a natural extension of Gaussian multinomial coefficient in the case of unrestricted paths. Convolutions for path counts are investigated, which yields some Vandcrmondc-type identities for multinomial and q-multinomial coefficients.
文摘This paper attempts to form a bridge between a sum of the divisors function and the gamma function, proposing a novel approach that could have significant implications for classical problems in number theory, specifically the Robin inequality and the Riemann hypothesis. The exploration of using invariant properties of these functions to derive insights into twin primes and sequential primes is a potentially innovative concept that deserves careful consideration by the mathematical community.
基金Project Supported by the Natural Science Foundation of China (10471065)the Natural Science Foundation of Guangdong Province (04010474)
文摘We apply Nevanlinna theory of the value distribution of meromorphic functions to study the properties of Nevanlinna counting function and proximity function of meromorphic solutions of a type of systems of complex difference equations. Our results can give estimates on the proximity function and the counting function of solutions of systems of difference equations. This implies that solutions have a relatively large number of poles. It extend some result concerning difference equations to the systems of difference equations.
文摘AIM To provide a simple surrogate marker predictive of liver cirrhosis(LC).METHODS Specimens from 302 patients who underwent resection for hepatocellular carcinoma between January 2006 and December 2012 were retrospectively analyzed. Based on pathologic findings, patients were divided into groups based on whether or not they had LC. Parameters associated with hepatic functional reserve were compared in these two groups using MannWhitney U-test for univariate analysis. Factors differing significantly in univariate analyses were entered into multivariate logistic regression analysis.RESULTS There were significant differences between the LC group(n = 100) and non-LC group(n = 202) in prothrombin activity, concentrations of alanine aminotransferase, aspartate aminotransferase, total bilirubin, albumin, cholinesterase, type Ⅳ collagen, hyaluronic acid, indocyanine green retention rate at 15 min, maximal removal rate of technitium-99 m diethylene triamine pentaacetic acid-galactosyl human serum albumin and ratio of mean platelet volume to platelet count(MPV/PLT). Multivariate analysis showed that prothrombin activity, concentrations of alanine aminotransferase, aspartate aminotransferase, total bilirubin and hyaluronic acid, and MPV/PLT ratio were factors independently predictive of LC. The area under the curve value for MPV/PLT was 0.78,with a 0.8 cutoff value having a sensitivity of 65% and a specificity of 78%.CONCLUSION The MPV/PLT ratio, which can be determined simply from the complete blood count, may be a simple surrogate marker predicting LC.
文摘In this paper, the relationship between Riemann-Liouville fractional integral and the box-counting dimension of graphs of fractal functions is discussed.
基金Project supported by the National Natural Science Foundation of China (Grant Nos.11047133 and 60967002)the Key Programs Foundation of Ministry of Education of China (Grant No.210115)+1 种基金the Research Foundation of the Education Department of Jiangxi Province of China (Grant Nos.GJJ10097 and GJJ10404)the Natural Science Foundation of Jiangxi Province of China (Grant No.2010GQW0027)
文摘By introducing the thermal entangled state representation, we investigate the time evolution of distribution functions in the dissipative channels by bridging the relation between the initial distribution function and the any time distribution function. We find that most of them are expressed as such integrations over the Laguerre Gaussian function. Furthermore, as applications, we derive the time evolution of photon-counting distribution by bridging the relation between the initial distribution function and the any time photon-counting distribution, and the time evolution of Rfunction characteristic of nonclassicality depth.
文摘Background: HIV/AIDS is a pandemic disease and its scourge has had a devastating impact on health, nutrition, food security and overall socioeconomic development in affected countries. Moreover, intervention programmes, which simply employ antiretroviral drugs, have been found to lack effectiveness particularly when the patient is under-nourished. Aim and Purpose: This presented pilot intervention provides evidence that suggests use of local resources as therapeutic nutrition. This can act as a fundamental part of the comprehensive package of care at the country level. Methodology: Local ingredients, which were known for their availability, accessibility, micro and macro-nutrient strengths were selected and optimised into a nutritional functional meal (Amtewa). Daily consumption was ascertained to assess its effects on nutritional status and biomedical indices of the study participants (n = 100) who were/were not taking Highly Active Anti-retroviral Therapy (HAART). Findings: Mean CD4 count for ART-Test group at baseline and sixth months increased by 40.8 cells/mm3 while the ART-Control group decreased 18.12 cells/mm3. This positive outcome qualified Amtewa meal to the next phase of intervention (400 participants) to ascertain its effectiveness on health status of HIV infected subjects and appraise its position within the National Health Services framework as innovative approach to attenuate the progression of HIV to AIDS in Nigeria. Conclusion: Amtewa-based approach in HIV management is innovative, culturally relevant, reliable and requiring low technology in order to assure compliance, sustainability and cost effectiveness. Although the achieved results take the form of specific technology, it suggests that a prolong consumption of the intervention meal (Amtewa) will be suitable to sustain the gained improvements in MUAC and CD4 cell counts thereby slowing the progression of the disease.
