In this paper,we consider the maximal positive definite solution of the nonlinear matrix equation.By using the idea of Algorithm 2.1 in ZHANG(2013),a new inversion-free method with a stepsize parameter is proposed to ...In this paper,we consider the maximal positive definite solution of the nonlinear matrix equation.By using the idea of Algorithm 2.1 in ZHANG(2013),a new inversion-free method with a stepsize parameter is proposed to obtain the maximal positive definite solution of nonlinear matrix equation X+A^(*)X|^(-α)A=Q with the case 0<α≤1.Based on this method,a new iterative algorithm is developed,and its convergence proof is given.Finally,two numerical examples are provided to show the effectiveness of the proposed method.展开更多
Traditional Chinese medicine(TCM)has garnered increasing attention globally,with its modernization becoming a prominent research focus both within China and internationally.However,the lack of a precise definition for...Traditional Chinese medicine(TCM)has garnered increasing attention globally,with its modernization becoming a prominent research focus both within China and internationally.However,the lack of a precise definition for TCM modernization has hindered clear guidance for its development.Additionally,cancer remains a significant global public health challenge,largely untreatable with current methods.Therefore,a comprehensive understanding of TCM modernization is crucial for its evolution,revolution,drug discovery,and cancer therapy.This study provides an overview of the history,theory,characteristics,and evolution of TCM,highlighting its potential in cancer prevention and treatment.We propose a definition for TCM modernization,innovative Chinese medicine(ICM),and elucidate strategies to elevate TCM from a supporting role to a leading one.Electronic databases such as PubMed,Web of Science,ScienceDirect,and Clinical Trials were utilized to retrieve relevant literature spanning from 1979 to 2024,with most publications being from the last five years,using keywords like“Traditional Chinese medicine”,“Cancer”,“Mechanism”,and“Clinical trial”.In this study,we introduce the theory of TCM modernization following target identification and initial compound screening:ICM,defined by“3 D”elements:definite active ingredient composition and content,determined functional mechanism,and detection through evidence-based medicine.Overall,the“3 D”definition of ICM will establish a standard for ICM,accelerate TCM modernization,enhance drug discovery targeting cancer and various human diseases,and benefit patients worldwide.展开更多
Precipitation events,which follow a life cycle of initiation,development,and decay,represent the fundamental form of precipitation.Comprehensive and accurate detection of these events is crucial for effective water re...Precipitation events,which follow a life cycle of initiation,development,and decay,represent the fundamental form of precipitation.Comprehensive and accurate detection of these events is crucial for effective water resource management and flood control.However,current investigations on their spatio-temporal patterns remain limited,largely because of the lack of systematic detection indices that are specifically designed for precipitation events,which constrains event-scale research.In this study,we defined a set of precipitation event detection indices(PEDI)that consists of five conventional and fourteen extreme indices to characterize precipitation events from the perspectives of intensity,duration,and frequency.Applications of the PEDI revealed the spatial patterns of hourly precipitation events in China and its first-and second-order river basins from 2008 to 2017.Both conventional and extreme precipitation events displayed spatial distribution patterns that gradually decreased in intensity,duration,and frequency from southeast to northwest China.Compared with those in northwest China,the average values of most PEDIs in southeast China were usually 2-10 times greater for first-order river basins and 3-15 times greater for second-order basins.The PEDI could serve as a reference method for investigating precipitation events at global,regional,and basin scales.展开更多
基金Supported in part by Natural Science Foundation of Guangxi(2023GXNSFAA026246)in part by the Central Government's Guide to Local Science and Technology Development Fund(GuikeZY23055044)in part by the National Natural Science Foundation of China(62363003)。
文摘In this paper,we consider the maximal positive definite solution of the nonlinear matrix equation.By using the idea of Algorithm 2.1 in ZHANG(2013),a new inversion-free method with a stepsize parameter is proposed to obtain the maximal positive definite solution of nonlinear matrix equation X+A^(*)X|^(-α)A=Q with the case 0<α≤1.Based on this method,a new iterative algorithm is developed,and its convergence proof is given.Finally,two numerical examples are provided to show the effectiveness of the proposed method.
基金supported by the National Natural Science Foundation of China(No.82203343)the National Postdoctoral Program for Innovative Talents of China(No.BX20220273)+3 种基金China Postdoctoral Science Foundation(No.2022M712874)Henan Province Key Research and Development Promotion Special Project(Science and Technology)in 2023(No.232102311007)Henan Province Key Scientific Research Project of Colleges and Universities in 2023(No.23A310007)the Outstanding Youth Project of Henan Provincial Natural Science Foundation(No.252300421123)。
文摘Traditional Chinese medicine(TCM)has garnered increasing attention globally,with its modernization becoming a prominent research focus both within China and internationally.However,the lack of a precise definition for TCM modernization has hindered clear guidance for its development.Additionally,cancer remains a significant global public health challenge,largely untreatable with current methods.Therefore,a comprehensive understanding of TCM modernization is crucial for its evolution,revolution,drug discovery,and cancer therapy.This study provides an overview of the history,theory,characteristics,and evolution of TCM,highlighting its potential in cancer prevention and treatment.We propose a definition for TCM modernization,innovative Chinese medicine(ICM),and elucidate strategies to elevate TCM from a supporting role to a leading one.Electronic databases such as PubMed,Web of Science,ScienceDirect,and Clinical Trials were utilized to retrieve relevant literature spanning from 1979 to 2024,with most publications being from the last five years,using keywords like“Traditional Chinese medicine”,“Cancer”,“Mechanism”,and“Clinical trial”.In this study,we introduce the theory of TCM modernization following target identification and initial compound screening:ICM,defined by“3 D”elements:definite active ingredient composition and content,determined functional mechanism,and detection through evidence-based medicine.Overall,the“3 D”definition of ICM will establish a standard for ICM,accelerate TCM modernization,enhance drug discovery targeting cancer and various human diseases,and benefit patients worldwide.
基金National Key Research and Development Program of China,No.2023YFC3206605,No.2021YFC3201102National Natural Science Foundation of China,No.41971035。
文摘Precipitation events,which follow a life cycle of initiation,development,and decay,represent the fundamental form of precipitation.Comprehensive and accurate detection of these events is crucial for effective water resource management and flood control.However,current investigations on their spatio-temporal patterns remain limited,largely because of the lack of systematic detection indices that are specifically designed for precipitation events,which constrains event-scale research.In this study,we defined a set of precipitation event detection indices(PEDI)that consists of five conventional and fourteen extreme indices to characterize precipitation events from the perspectives of intensity,duration,and frequency.Applications of the PEDI revealed the spatial patterns of hourly precipitation events in China and its first-and second-order river basins from 2008 to 2017.Both conventional and extreme precipitation events displayed spatial distribution patterns that gradually decreased in intensity,duration,and frequency from southeast to northwest China.Compared with those in northwest China,the average values of most PEDIs in southeast China were usually 2-10 times greater for first-order river basins and 3-15 times greater for second-order basins.The PEDI could serve as a reference method for investigating precipitation events at global,regional,and basin scales.
