In this paper,we interpret the operator representation using g-frames as a generalization of U-cross Gram matrices.We establish the link between U-cross g-Gram matrices andg-Riesz bases,and obtain a characterization o...In this paper,we interpret the operator representation using g-frames as a generalization of U-cross Gram matrices.We establish the link between U-cross g-Gram matrices andg-Riesz bases,and obtain a characterization ofg-Riesz bases by U-cross g-Gram matrices.In particular,someexamples show that the invertibility of U-cross g-Gram matrix is not possible when the associated sequences are g-frames but not g-Riesz bases or at most one of them is a g-Riesz basis.Finally,we show that the invertibility of U-cross g-Gram matrices is preserved under small perturbations of the operators or the sequences.展开更多
目的分析黄芪多糖研究现状及热点,为进一步研究提供参考。方法检索中国知识资源总库(CNKI)、中国学术期刊数据库(万方数据)、中文科技期刊数据库(VIP)、PubMed、Web of Science数据库2013年1月1日-2023年7月1日收录的黄芪多糖研究文献...目的分析黄芪多糖研究现状及热点,为进一步研究提供参考。方法检索中国知识资源总库(CNKI)、中国学术期刊数据库(万方数据)、中文科技期刊数据库(VIP)、PubMed、Web of Science数据库2013年1月1日-2023年7月1日收录的黄芪多糖研究文献。采用NoteExpress3.7软件管理文献并建立数据库,采用Excel2019、CiteSpace6.2.2R、VOSviewer1.6.18软件对纳入文献发文量、作者、机构、关键词进行可视化分析。结果共纳入文献2462篇,其中中文文献1284篇,英文文献1178篇。主要研究机构有甘肃中医药大学、山东中医药大学、北京中医药大学等。中文文献核心作者有刘永琦、王洪新、鲁美丽等,英文文献核心作者有Zhang Wei、Li Ke、Yang Xiaojun等。中文文献高频关键词有黄芪、大鼠、多糖、细胞凋亡、氧化应激等,英文文献高频关键词有expression、in-vitro、oxidative stress、apoptosis等。结论黄芪多糖研究集中于药理作用及机制,机制研究热点涉及肠道菌群、免疫调控、自噬、凋亡,疾病研究热点涉及肿瘤、糖尿病,抗病毒、抗感染等药理作用是研究趋势。展开更多
OBJECTIVE: To explore the blood flow differences in cun-kou(radial) artery and anterior tibial artery between normal people and patients with chronic gastritis METHODS: Using doppler ultrasonography, blood flow charts...OBJECTIVE: To explore the blood flow differences in cun-kou(radial) artery and anterior tibial artery between normal people and patients with chronic gastritis METHODS: Using doppler ultrasonography, blood flow charts [peak systolic velocity(VP), maximum blood flow velocity in diastole(VD), mean blood flow velocity(VM), pulse index(PI), resistance index(RI), blood vessel diameter(D), vessel volume(SV),circulation blood flow periodic time(ET)] measured by at cun-kou(radial) artery and anterior tibial artery in normal group(n = 30) and chronic gastritis group(n = 30) in department of ultrasound, Beijing Anzhen hospital, capital medical university.RESULTS: In the doppler flow charts of the normal group, there were statistically significant differences in VD, VM, D, RI, SV, ET between cun-kou artery and anterior tibial artery(P < 0.05), and there were more statistically significant differences in PI between cun-kou artery and anterior tibial artery(P <0.01). In the comparison of doppler flow charts in the chronic gastritis group, there were statistically significant differences in VD, VM, D, RI, SV, ET between cun-kou artery and anterior tibial artery(P <0.05), and there were more statistically significant differences in PI between cun-kou artery and anterior tibial artery(P < 0.01). In the comparison of doppler flow charts between normal group and chronic gastritis group, there were statistically significant differences in SV, ET between normal group and chronic gastritis group(P < 0.05), and there were more statistically significant differences in PI between normal group and chronic gastritis group(P < 0.01).CONCLUSION: Based on the differences in doppler flow charts between the normal group and the chronic gastritis group, the doppler flow charts of cun-kou artery and anterior tibial artery were not only proved to be significantly different, but also provided quantitative objective indexes for the study of cun-kou artery and anterior tibial artery doppler flow charts of normal people and chronic gastritis patients. This study also proves that the doppler flow chart of the anterior tibial pulse is of great significance for the diagnosis of chronic gastritis.展开更多
基金Supported by NSF of Henan Province (Nos.252300420353,252300421973)Key Scientific and Technological Project of Henan Province (No.242102210049)。
文摘In this paper,we interpret the operator representation using g-frames as a generalization of U-cross Gram matrices.We establish the link between U-cross g-Gram matrices andg-Riesz bases,and obtain a characterization ofg-Riesz bases by U-cross g-Gram matrices.In particular,someexamples show that the invertibility of U-cross g-Gram matrix is not possible when the associated sequences are g-frames but not g-Riesz bases or at most one of them is a g-Riesz basis.Finally,we show that the invertibility of U-cross g-Gram matrices is preserved under small perturbations of the operators or the sequences.
基金Supported by Special funds for basic scientific research of central universities(No.2017-JYB-JS-147)
文摘OBJECTIVE: To explore the blood flow differences in cun-kou(radial) artery and anterior tibial artery between normal people and patients with chronic gastritis METHODS: Using doppler ultrasonography, blood flow charts [peak systolic velocity(VP), maximum blood flow velocity in diastole(VD), mean blood flow velocity(VM), pulse index(PI), resistance index(RI), blood vessel diameter(D), vessel volume(SV),circulation blood flow periodic time(ET)] measured by at cun-kou(radial) artery and anterior tibial artery in normal group(n = 30) and chronic gastritis group(n = 30) in department of ultrasound, Beijing Anzhen hospital, capital medical university.RESULTS: In the doppler flow charts of the normal group, there were statistically significant differences in VD, VM, D, RI, SV, ET between cun-kou artery and anterior tibial artery(P < 0.05), and there were more statistically significant differences in PI between cun-kou artery and anterior tibial artery(P <0.01). In the comparison of doppler flow charts in the chronic gastritis group, there were statistically significant differences in VD, VM, D, RI, SV, ET between cun-kou artery and anterior tibial artery(P <0.05), and there were more statistically significant differences in PI between cun-kou artery and anterior tibial artery(P < 0.01). In the comparison of doppler flow charts between normal group and chronic gastritis group, there were statistically significant differences in SV, ET between normal group and chronic gastritis group(P < 0.05), and there were more statistically significant differences in PI between normal group and chronic gastritis group(P < 0.01).CONCLUSION: Based on the differences in doppler flow charts between the normal group and the chronic gastritis group, the doppler flow charts of cun-kou artery and anterior tibial artery were not only proved to be significantly different, but also provided quantitative objective indexes for the study of cun-kou artery and anterior tibial artery doppler flow charts of normal people and chronic gastritis patients. This study also proves that the doppler flow chart of the anterior tibial pulse is of great significance for the diagnosis of chronic gastritis.
