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
目的 探讨紫癜性肾炎(HSPN)患儿PLT、血小板压积(PCT)等血小板参数与肾脏病理分级及肾功能的关系。方法 回顾性分析2022年1月至2023年3月河南中医药大学第一附属医院收治的46例过敏性紫癜(HSP)和89例HSPN患儿的临床资料,比较两组患儿血...目的 探讨紫癜性肾炎(HSPN)患儿PLT、血小板压积(PCT)等血小板参数与肾脏病理分级及肾功能的关系。方法 回顾性分析2022年1月至2023年3月河南中医药大学第一附属医院收治的46例过敏性紫癜(HSP)和89例HSPN患儿的临床资料,比较两组患儿血小板参数、凝血功能、肾功能水平。HSPN患儿根据肾脏病理结果分为Ⅱ型28例、Ⅲa型32例、Ⅲb及以上29例,比较不同肾脏病理分型HSPN患儿血小板参数、凝血功能、肾功能水平、24 h尿蛋白含量(24 h UP);采用Pearson相关分析血小板参数与凝血功能、肾功能水平的关系。采用ROC曲线评价血小板参数对HSPN患儿肾功能障碍的诊断效能。结果 HSPN组PLT、PCT、尿素氮(BUN)、血肌酐(Scr)、TT水平均高于HSP组,APTT水平低于HSP组(均P<0.05)。随着肾脏病理分型的升高,PLT、PCT、BUN、24 h UP水平逐渐上升,3组间差异有统计学意义(均P<0.05)。Pearson相关分析显示,HSPN患儿PLT、PCT水平与BUN、Scr、24 h UP均呈正相关(均P<0.05)。ROC曲线分析表明,PLT、PCT两者联合诊断HSPN患儿发生肾功能障碍的AUC为0.880,高于单一指标诊断(均P<0.05),灵敏度为0.727,特异度为0.978。结论 不同肾脏病理分型HSPN患儿PLT、PCT水平存在显著差异,与肾功能指标呈显著正相关。检测HSPN患儿PLT、PCT水平有助于评估其肾脏病理分型和肾功能障碍发生情况。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
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.
文摘目的 探讨紫癜性肾炎(HSPN)患儿PLT、血小板压积(PCT)等血小板参数与肾脏病理分级及肾功能的关系。方法 回顾性分析2022年1月至2023年3月河南中医药大学第一附属医院收治的46例过敏性紫癜(HSP)和89例HSPN患儿的临床资料,比较两组患儿血小板参数、凝血功能、肾功能水平。HSPN患儿根据肾脏病理结果分为Ⅱ型28例、Ⅲa型32例、Ⅲb及以上29例,比较不同肾脏病理分型HSPN患儿血小板参数、凝血功能、肾功能水平、24 h尿蛋白含量(24 h UP);采用Pearson相关分析血小板参数与凝血功能、肾功能水平的关系。采用ROC曲线评价血小板参数对HSPN患儿肾功能障碍的诊断效能。结果 HSPN组PLT、PCT、尿素氮(BUN)、血肌酐(Scr)、TT水平均高于HSP组,APTT水平低于HSP组(均P<0.05)。随着肾脏病理分型的升高,PLT、PCT、BUN、24 h UP水平逐渐上升,3组间差异有统计学意义(均P<0.05)。Pearson相关分析显示,HSPN患儿PLT、PCT水平与BUN、Scr、24 h UP均呈正相关(均P<0.05)。ROC曲线分析表明,PLT、PCT两者联合诊断HSPN患儿发生肾功能障碍的AUC为0.880,高于单一指标诊断(均P<0.05),灵敏度为0.727,特异度为0.978。结论 不同肾脏病理分型HSPN患儿PLT、PCT水平存在显著差异,与肾功能指标呈显著正相关。检测HSPN患儿PLT、PCT水平有助于评估其肾脏病理分型和肾功能障碍发生情况。
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.
