Stochastic unit commitment is one of the most powerful methods to address uncertainty. However, the existingscenario clustering technique for stochastic unit commitment cannot accurately select representative scenario...Stochastic unit commitment is one of the most powerful methods to address uncertainty. However, the existingscenario clustering technique for stochastic unit commitment cannot accurately select representative scenarios,which threatens the robustness of stochastic unit commitment and hinders its application. This paper providesa stochastic unit commitment with dynamic scenario clustering based on multi-parametric programming andBenders decomposition. The stochastic unit commitment is solved via the Benders decomposition, which decouplesthe primal problem into the master problem and two types of subproblems. In the master problem, the committedgenerator is determined, while the feasibility and optimality of generator output are checked in these twosubproblems. Scenarios are dynamically clustered during the subproblem solution process through the multiparametric programming with respect to the solution of the master problem. In other words, multiple scenariosare clustered into several representative scenarios after the subproblem is solved, and the Benders cut obtainedby the representative scenario is generated for the master problem. Different from the conventional stochasticunit commitment, the proposed approach integrates scenario clustering into the Benders decomposition solutionprocess. Such a clustering approach could accurately cluster representative scenarios that have impacts on theunit commitment. The proposed method is tested on a 6-bus system and the modified IEEE 118-bus system.Numerical results illustrate the effectiveness of the proposed method in clustering scenarios. Compared withthe conventional clustering method, the proposed method can accurately select representative scenarios whilemitigating computational burden, thus guaranteeing the robustness of unit commitment.展开更多
Background:Exercise procrastination is prevalent among college students,causing decline in physical fitness.It is imperative to investigate the mechanism affecting college students’physical activity behaviors.This st...Background:Exercise procrastination is prevalent among college students,causing decline in physical fitness.It is imperative to investigate the mechanism affecting college students’physical activity behaviors.This study was aimed at investigating the effect of procrastination on college students’physical exercise behavior,and the chain mediation effects of exercise commitment and action control(AC),to provide a theoretical basis for interventions targeting physical exercise behavior among college students.Methods:A questionnaire survey was conducted using convenience sampling.The General Procrastination Scale,Exercise Commitment Scale,Action Control Scale,and Physical Activity Rating Scale-3 questionnaires were used.Participants were 581 college students(age 19.27±0.94 years;243 males and 338 females).Statistical methods of regression analysis and structural equation modeling(SEM)were applied.Results:Procrastination,exercise commitment,and action control were found to be significant predictors of physical exercise behavior.Among these predictors,exercise commitment and action control showed full mediation effects in the relationship between procrastination and physical exercise behavior,and explained 25.48%and 30.77%of the total variance,respectively.The chain mediation effect of exercise commitment-action control was significant,accounting for 22.60%of the total variance,and the total indirect effect was 79.33%.Conclusion:Therefore,higher procrastination was associated with less participation in physical exercise behavior among college students.Improvements in exercise commitment and volitional decision-making ability for physical exercise behavior promoted physical exercise behavior,and increased exercise commitment promoted volitional decision-making ability among the students.The chain reaction effect of exercise commitment and action control also buffered the negative effects of procrastination on physical exercise behavior,thereby increasing physical exercise behavior among college students.展开更多
The rapid evolution of the political,economic,and social landscape has generated increased interest in understanding the contextual application of management styles and behaviours toward employees.In this context,orga...The rapid evolution of the political,economic,and social landscape has generated increased interest in understanding the contextual application of management styles and behaviours toward employees.In this context,organizations must comprehend and assess employee satisfaction to enhance productivity and realize their strategic and economic goals.Therefore,this study aims to investigate the prevailing and significant management behaviours toward employees in large German companies and their impact on employee satisfaction and job commitment.To achieve the research objective,the study will employ a qualitative method to explore management behaviours toward employees.Data were collected through interviews with randomly selected managers from different companies and departments.The study aims to uncover discrepancies or variations in employee expectations regarding management behaviour.The findings will provide a better understanding of the most prevalent and significant management behaviours toward employees in large German companies and their impact on employee satisfaction and job commitment.The results will be valuable to management in adopting suitable leadership styles and improving employee satisfaction,leading to increased productivity and organizational performance.The research will contribute to the existing body of knowledge in the field of management and human resource management by providing insights into the impact of management behaviours on employees.It will also offer recommendations to management on how to enhance employee satisfaction and job commitment,leading to improved organizational performance.In conclusion,this study will investigate the prevailing management behaviours toward employees in large German companies and their impact on employee satisfaction and job commitment.展开更多
Objective:High-quality and successful nursing care delivery in a variety of situations requires critical thinking training and professional commitment.The present study aimed to investigate critical thinking dispositi...Objective:High-quality and successful nursing care delivery in a variety of situations requires critical thinking training and professional commitment.The present study aimed to investigate critical thinking disposition,professional commitment,and the relationship between these 2 variables among nurses.Methods:As a result of stratified random sampling,201 nurses were enrolled in the present cross-sectional study.Data were gathered using a socio-demographic form,the Critical Thinking Disposition Inventory(CTDI),and the Nurses'Professional Commitment Scale(NPCS).Results:Although the critical thinking disposition scores were at a moderate level(115.70±13.55),the mean score for professional commitment was high(91.37±11.77).A positive correlation was found between critical thinking disposition and professional commitment(r=0.67,P=0.001).Conclusions:Nursing managers are urged to employ strategies to enhance nurses'critical thinking disposition and professional commitment.展开更多
This study investigated the professional commitment of kindergarten teachers in a private kindergarten located in Jinan,Shandong Province,China.The research employed a questionnaire and utilized correlation analysis t...This study investigated the professional commitment of kindergarten teachers in a private kindergarten located in Jinan,Shandong Province,China.The research employed a questionnaire and utilized correlation analysis to examine the factors influencing the professional commitment of private kindergarten teachers.The findings revealed that the overall level of career commitment among private kindergarten teachers was moderately low.Among the three dimensions of professional commitment,namely,continuance commitment,affective commitment,and normative commitment,the affective commitment dimension exhibited a relatively high level,whereas the continuance commitment and normative commitment dimensions showed relatively low levels.Significant differences in professional commitment levels were observed based on teacher age,education level,age of children,salary,and class size.However,no significant differences were found based on teacher specialty,position,and teaching experience.展开更多
Chalcopyrite,copper indium gallium selenide(Cu(In,Ga)Se_(2),CIGS),as semiconductor materials,have been widely used as absorbers in thin-film solar cells,offering high power conversion efficiency(PCE)and good thermal s...Chalcopyrite,copper indium gallium selenide(Cu(In,Ga)Se_(2),CIGS),as semiconductor materials,have been widely used as absorbers in thin-film solar cells,offering high power conversion efficiency(PCE)and good thermal stability[1−3].Recently,the development of non-traditional photovoltaic(PV)devices such as semitransparent.展开更多
As prior researchers have suggested,a firm’s success in an international market depends on how well its strategy fits the nonmarket environment,such as formal institutions.This paper examines the determinants of form...As prior researchers have suggested,a firm’s success in an international market depends on how well its strategy fits the nonmarket environment,such as formal institutions.This paper examines the determinants of formal institutions around new areas of economic activities.Specifically,we propose a framework for understanding how the quality of formal institutions in promoting entrepreneurship drives the focus of such institutions concerning initial coin offering(ICO),which is emerging as a popular fundraising method.The paper uses inductive analysis to examine how nonmarket factors—such as a jurisdiction’s tax haven nature,regulators’perceptions of ICOs as threats to national or political interests,and trade and industry associations—might moderate the relationship between the quality of institutions and the focus of such institutions regarding ICOs.One of this study’s key findings is that an economy’s quality of entrepreneurship-related institutions,perceived threats to national/political interests,and tax haven nature lead to different policy orientations.Consequently,regulators assign different importance when promoting crypto-entrepreneurship and dealing with associated risks.Regulators focusing mainly on promoting crypto-ventures have taken measures to enrich the blockchain ecosystem and provided tax and non-tax incentives to attract such ventures.Regulators focusing mainly on dealing with crypto-venture risks rely on a regulatory sandbox and close regulatory monitoring of such ventures.展开更多
Nowadays, in data science, supervised learning algorithms are frequently used to perform text classification. However, African textual data, in general, have been studied very little using these methods. This article ...Nowadays, in data science, supervised learning algorithms are frequently used to perform text classification. However, African textual data, in general, have been studied very little using these methods. This article notes the particularity of the data and measures the level of precision of predictions of naive Bayes algorithms, decision tree, and SVM (Support Vector Machine) on a corpus of computer jobs taken on the internet. This is due to the data imbalance problem in machine learning. However, this problem essentially focuses on the distribution of the number of documents in each class or subclass. Here, we delve deeper into the problem to the word count distribution in a set of documents. The results are compared with those obtained on a set of French IT offers. It appears that the precision of the classification varies between 88% and 90% for French offers against 67%, at most, for Cameroonian offers. The contribution of this study is twofold. Indeed, it clearly shows that, in a similar job category, job offers on the internet in Cameroon are more unstructured compared to those available in France, for example. Moreover, it makes it possible to emit a strong hypothesis according to which sets of texts having a symmetrical distribution of the number of words obtain better results with supervised learning algorithms.展开更多
Objectives:This study reviewed published randomized controlled trials(RCTs)and evaluated the efficacy of internet-based acceptance and commitment therapy(IACT)on adolescent mental health.Methods:Searches were conducte...Objectives:This study reviewed published randomized controlled trials(RCTs)and evaluated the efficacy of internet-based acceptance and commitment therapy(IACT)on adolescent mental health.Methods:Searches were conducted in PubMed,ProQuest,APA(PsycNET/PsycINFO),and Web of Science from inception to Jan-uary 2022 to identify RCTs evaluating the effects of IACT on adolescents.The included studies were assessed for quality and risk of bias.This study was performed using the standard mean difference and associated 95%confidence interval of effective measures.Review Manager 5.4 software was adopted to calculate the effect size.Results:Compared to adolescents in control groups,those in the IACT groups showed some improvement in the efficacy of depression symptoms(SMD=−0.24,95%CI=[−0.44,−0.05],p=0.01)and had a small but sig-nificant effect on reducing experiential avoidance(SMD=−0.24,95%CI=[−0.46,−0.01],p=0.04).However,the effect size on anxiety did not reach the threshold(SMD=−0.18,95%CI=[−0.27,−0.09],p<0.0001).In addition,there were no significant differences in stress and well-being compared to those of the control group.Compared with universal adolescents,IACT was found to have a more significant therapeutic effect on targeted adolescents.Conclusions:IACT is effective in adolescent mental health interventions,but its clinical reliability and significant efficacy are limited,and more rigorous RCTs are needed in future studies.展开更多
Objective:The objective is to assess the direct and indirect effects of nurses’organizational commitment(OC)on their work environment perceptions(WEP)and the role of the psychological contr act(PC).Methods:A cross‑se...Objective:The objective is to assess the direct and indirect effects of nurses’organizational commitment(OC)on their work environment perceptions(WEP)and the role of the psychological contr act(PC).Methods:A cross‑sectional quantitative study of 3047 registered nurses in four Chinese hospitals was conducted.The Essentials of Magnetism II(Chinese version),OC,and PC scales were used in the study,and the structural equation modeling was used to assess the connections among variables.Results:The results showed that OC was positively correlated with WEP(r=0.561,P<0.001),and PC was negatively correlated with the WEP(r=−0.717,P<0.001),and OC(r=−0.739,P<0.001).Nurses’PC played a strong mediating role between OC and WEP,accounting for 87.64%of the total effect.Besides,PC played an important role in creating a healthy work environment.Conclusions:The exploration of the relationships among WEP,PC,and OC provides new insights for hospital managers to build a better work environment for nurses,which is conducive to maintaining a stable nurse team and providing high‑quality nursing services for patients.展开更多
The purpose of this study is to explore the correlation between organizational commitment and job performance among employees in Taiwan Residents companies after the COVID-19 epidemic,and to use work motivation and or...The purpose of this study is to explore the correlation between organizational commitment and job performance among employees in Taiwan Residents companies after the COVID-19 epidemic,and to use work motivation and organizational communication as intermediary variables to further understand the interaction between them.Using hierarchical multiple regression analysis and bootstrap method to analyze,the research results show that organizational commitment has a significant positive impact on work motivation and work performance,and work motivation also has a significant positive impact on work performance.In addition,organizational communication has a mediating effect on organizational commitment and work motivation,and work motivation also has a mediating effect on organizational commitment and work machine performance.The results of this study hope to understand the working conditions of organizations and employees after the COVID-19 epidemic,and provide relevant business operators with follow-up references for their operations.展开更多
CT:What are the positive effects of the lifting restrictions on international flights on this exhibition?Charles Beauduin:As our exhibitors and visitors come from more than 100 countries,the lifting of travel restrict...CT:What are the positive effects of the lifting restrictions on international flights on this exhibition?Charles Beauduin:As our exhibitors and visitors come from more than 100 countries,the lifting of travel restrictions by governments around the world is good news.International airlines are adding more flights and this helps make it easier for participants to travel to our exhibition in Milan.展开更多
English business correspondence plays an important role in business activities. People take it for granted that it should be cautious and accurate,but neglect the necessity and importance of vague language. Therefore,...English business correspondence plays an important role in business activities. People take it for granted that it should be cautious and accurate,but neglect the necessity and importance of vague language. Therefore, it is very important to apply vague language to English business correspondence.展开更多
基金the Science and Technology Project of State Grid Corporation of China,Grant Number 5108-202304065A-1-1-ZN.
文摘Stochastic unit commitment is one of the most powerful methods to address uncertainty. However, the existingscenario clustering technique for stochastic unit commitment cannot accurately select representative scenarios,which threatens the robustness of stochastic unit commitment and hinders its application. This paper providesa stochastic unit commitment with dynamic scenario clustering based on multi-parametric programming andBenders decomposition. The stochastic unit commitment is solved via the Benders decomposition, which decouplesthe primal problem into the master problem and two types of subproblems. In the master problem, the committedgenerator is determined, while the feasibility and optimality of generator output are checked in these twosubproblems. Scenarios are dynamically clustered during the subproblem solution process through the multiparametric programming with respect to the solution of the master problem. In other words, multiple scenariosare clustered into several representative scenarios after the subproblem is solved, and the Benders cut obtainedby the representative scenario is generated for the master problem. Different from the conventional stochasticunit commitment, the proposed approach integrates scenario clustering into the Benders decomposition solutionprocess. Such a clustering approach could accurately cluster representative scenarios that have impacts on theunit commitment. The proposed method is tested on a 6-bus system and the modified IEEE 118-bus system.Numerical results illustrate the effectiveness of the proposed method in clustering scenarios. Compared withthe conventional clustering method, the proposed method can accurately select representative scenarios whilemitigating computational burden, thus guaranteeing the robustness of unit commitment.
文摘Background:Exercise procrastination is prevalent among college students,causing decline in physical fitness.It is imperative to investigate the mechanism affecting college students’physical activity behaviors.This study was aimed at investigating the effect of procrastination on college students’physical exercise behavior,and the chain mediation effects of exercise commitment and action control(AC),to provide a theoretical basis for interventions targeting physical exercise behavior among college students.Methods:A questionnaire survey was conducted using convenience sampling.The General Procrastination Scale,Exercise Commitment Scale,Action Control Scale,and Physical Activity Rating Scale-3 questionnaires were used.Participants were 581 college students(age 19.27±0.94 years;243 males and 338 females).Statistical methods of regression analysis and structural equation modeling(SEM)were applied.Results:Procrastination,exercise commitment,and action control were found to be significant predictors of physical exercise behavior.Among these predictors,exercise commitment and action control showed full mediation effects in the relationship between procrastination and physical exercise behavior,and explained 25.48%and 30.77%of the total variance,respectively.The chain mediation effect of exercise commitment-action control was significant,accounting for 22.60%of the total variance,and the total indirect effect was 79.33%.Conclusion:Therefore,higher procrastination was associated with less participation in physical exercise behavior among college students.Improvements in exercise commitment and volitional decision-making ability for physical exercise behavior promoted physical exercise behavior,and increased exercise commitment promoted volitional decision-making ability among the students.The chain reaction effect of exercise commitment and action control also buffered the negative effects of procrastination on physical exercise behavior,thereby increasing physical exercise behavior among college students.
文摘The rapid evolution of the political,economic,and social landscape has generated increased interest in understanding the contextual application of management styles and behaviours toward employees.In this context,organizations must comprehend and assess employee satisfaction to enhance productivity and realize their strategic and economic goals.Therefore,this study aims to investigate the prevailing and significant management behaviours toward employees in large German companies and their impact on employee satisfaction and job commitment.To achieve the research objective,the study will employ a qualitative method to explore management behaviours toward employees.Data were collected through interviews with randomly selected managers from different companies and departments.The study aims to uncover discrepancies or variations in employee expectations regarding management behaviour.The findings will provide a better understanding of the most prevalent and significant management behaviours toward employees in large German companies and their impact on employee satisfaction and job commitment.The results will be valuable to management in adopting suitable leadership styles and improving employee satisfaction,leading to increased productivity and organizational performance.The research will contribute to the existing body of knowledge in the field of management and human resource management by providing insights into the impact of management behaviours on employees.It will also offer recommendations to management on how to enhance employee satisfaction and job commitment,leading to improved organizational performance.In conclusion,this study will investigate the prevailing management behaviours toward employees in large German companies and their impact on employee satisfaction and job commitment.
文摘Objective:High-quality and successful nursing care delivery in a variety of situations requires critical thinking training and professional commitment.The present study aimed to investigate critical thinking disposition,professional commitment,and the relationship between these 2 variables among nurses.Methods:As a result of stratified random sampling,201 nurses were enrolled in the present cross-sectional study.Data were gathered using a socio-demographic form,the Critical Thinking Disposition Inventory(CTDI),and the Nurses'Professional Commitment Scale(NPCS).Results:Although the critical thinking disposition scores were at a moderate level(115.70±13.55),the mean score for professional commitment was high(91.37±11.77).A positive correlation was found between critical thinking disposition and professional commitment(r=0.67,P=0.001).Conclusions:Nursing managers are urged to employ strategies to enhance nurses'critical thinking disposition and professional commitment.
文摘This study investigated the professional commitment of kindergarten teachers in a private kindergarten located in Jinan,Shandong Province,China.The research employed a questionnaire and utilized correlation analysis to examine the factors influencing the professional commitment of private kindergarten teachers.The findings revealed that the overall level of career commitment among private kindergarten teachers was moderately low.Among the three dimensions of professional commitment,namely,continuance commitment,affective commitment,and normative commitment,the affective commitment dimension exhibited a relatively high level,whereas the continuance commitment and normative commitment dimensions showed relatively low levels.Significant differences in professional commitment levels were observed based on teacher age,education level,age of children,salary,and class size.However,no significant differences were found based on teacher specialty,position,and teaching experience.
基金This work is supported by the National Natural Science Foundation of China(22075150)the National Key Research and Development Program of China(2019YFE0118100)+2 种基金L.Ding thanks the National Key Research and Development Program of China(2022YFB3803300)the open research fund of Songshan Lake Materials Laboratory(2021SLABFK02)the National Natural Science Foundation of China(21961160720).
文摘Chalcopyrite,copper indium gallium selenide(Cu(In,Ga)Se_(2),CIGS),as semiconductor materials,have been widely used as absorbers in thin-film solar cells,offering high power conversion efficiency(PCE)and good thermal stability[1−3].Recently,the development of non-traditional photovoltaic(PV)devices such as semitransparent.
文摘As prior researchers have suggested,a firm’s success in an international market depends on how well its strategy fits the nonmarket environment,such as formal institutions.This paper examines the determinants of formal institutions around new areas of economic activities.Specifically,we propose a framework for understanding how the quality of formal institutions in promoting entrepreneurship drives the focus of such institutions concerning initial coin offering(ICO),which is emerging as a popular fundraising method.The paper uses inductive analysis to examine how nonmarket factors—such as a jurisdiction’s tax haven nature,regulators’perceptions of ICOs as threats to national or political interests,and trade and industry associations—might moderate the relationship between the quality of institutions and the focus of such institutions regarding ICOs.One of this study’s key findings is that an economy’s quality of entrepreneurship-related institutions,perceived threats to national/political interests,and tax haven nature lead to different policy orientations.Consequently,regulators assign different importance when promoting crypto-entrepreneurship and dealing with associated risks.Regulators focusing mainly on promoting crypto-ventures have taken measures to enrich the blockchain ecosystem and provided tax and non-tax incentives to attract such ventures.Regulators focusing mainly on dealing with crypto-venture risks rely on a regulatory sandbox and close regulatory monitoring of such ventures.
文摘Nowadays, in data science, supervised learning algorithms are frequently used to perform text classification. However, African textual data, in general, have been studied very little using these methods. This article notes the particularity of the data and measures the level of precision of predictions of naive Bayes algorithms, decision tree, and SVM (Support Vector Machine) on a corpus of computer jobs taken on the internet. This is due to the data imbalance problem in machine learning. However, this problem essentially focuses on the distribution of the number of documents in each class or subclass. Here, we delve deeper into the problem to the word count distribution in a set of documents. The results are compared with those obtained on a set of French IT offers. It appears that the precision of the classification varies between 88% and 90% for French offers against 67%, at most, for Cameroonian offers. The contribution of this study is twofold. Indeed, it clearly shows that, in a similar job category, job offers on the internet in Cameroon are more unstructured compared to those available in France, for example. Moreover, it makes it possible to emit a strong hypothesis according to which sets of texts having a symmetrical distribution of the number of words obtain better results with supervised learning algorithms.
基金the Humanities and Social Sciences Key Research Base Project of Anhui Province(SK2017A0278).
文摘Objectives:This study reviewed published randomized controlled trials(RCTs)and evaluated the efficacy of internet-based acceptance and commitment therapy(IACT)on adolescent mental health.Methods:Searches were conducted in PubMed,ProQuest,APA(PsycNET/PsycINFO),and Web of Science from inception to Jan-uary 2022 to identify RCTs evaluating the effects of IACT on adolescents.The included studies were assessed for quality and risk of bias.This study was performed using the standard mean difference and associated 95%confidence interval of effective measures.Review Manager 5.4 software was adopted to calculate the effect size.Results:Compared to adolescents in control groups,those in the IACT groups showed some improvement in the efficacy of depression symptoms(SMD=−0.24,95%CI=[−0.44,−0.05],p=0.01)and had a small but sig-nificant effect on reducing experiential avoidance(SMD=−0.24,95%CI=[−0.46,−0.01],p=0.04).However,the effect size on anxiety did not reach the threshold(SMD=−0.18,95%CI=[−0.27,−0.09],p<0.0001).In addition,there were no significant differences in stress and well-being compared to those of the control group.Compared with universal adolescents,IACT was found to have a more significant therapeutic effect on targeted adolescents.Conclusions:IACT is effective in adolescent mental health interventions,but its clinical reliability and significant efficacy are limited,and more rigorous RCTs are needed in future studies.
文摘Objective:The objective is to assess the direct and indirect effects of nurses’organizational commitment(OC)on their work environment perceptions(WEP)and the role of the psychological contr act(PC).Methods:A cross‑sectional quantitative study of 3047 registered nurses in four Chinese hospitals was conducted.The Essentials of Magnetism II(Chinese version),OC,and PC scales were used in the study,and the structural equation modeling was used to assess the connections among variables.Results:The results showed that OC was positively correlated with WEP(r=0.561,P<0.001),and PC was negatively correlated with the WEP(r=−0.717,P<0.001),and OC(r=−0.739,P<0.001).Nurses’PC played a strong mediating role between OC and WEP,accounting for 87.64%of the total effect.Besides,PC played an important role in creating a healthy work environment.Conclusions:The exploration of the relationships among WEP,PC,and OC provides new insights for hospital managers to build a better work environment for nurses,which is conducive to maintaining a stable nurse team and providing high‑quality nursing services for patients.
文摘The purpose of this study is to explore the correlation between organizational commitment and job performance among employees in Taiwan Residents companies after the COVID-19 epidemic,and to use work motivation and organizational communication as intermediary variables to further understand the interaction between them.Using hierarchical multiple regression analysis and bootstrap method to analyze,the research results show that organizational commitment has a significant positive impact on work motivation and work performance,and work motivation also has a significant positive impact on work performance.In addition,organizational communication has a mediating effect on organizational commitment and work motivation,and work motivation also has a mediating effect on organizational commitment and work machine performance.The results of this study hope to understand the working conditions of organizations and employees after the COVID-19 epidemic,and provide relevant business operators with follow-up references for their operations.
文摘CT:What are the positive effects of the lifting restrictions on international flights on this exhibition?Charles Beauduin:As our exhibitors and visitors come from more than 100 countries,the lifting of travel restrictions by governments around the world is good news.International airlines are adding more flights and this helps make it easier for participants to travel to our exhibition in Milan.
文摘English business correspondence plays an important role in business activities. People take it for granted that it should be cautious and accurate,but neglect the necessity and importance of vague language. Therefore, it is very important to apply vague language to English business correspondence.