This paper is a continuation of recent work by Guo-Xiang-Zheng[10].We deduce the sharp Morrey regularity theory for weak solutions to the fourth order nonhomogeneous Lamm-Rivière equation △^{2}u=△(V▽u)+div(w▽...This paper is a continuation of recent work by Guo-Xiang-Zheng[10].We deduce the sharp Morrey regularity theory for weak solutions to the fourth order nonhomogeneous Lamm-Rivière equation △^{2}u=△(V▽u)+div(w▽u)+(▽ω+F)·▽u+f in B^(4),under the smallest regularity assumptions of V,ω,ω,F,where f belongs to some Morrey spaces.This work was motivated by many geometrical problems such as the flow of biharmonic mappings.Our results deepens the Lp type regularity theory of[10],and generalizes the work of Du,Kang and Wang[4]on a second order problem to our fourth order problems.展开更多
On January 8th,the China Chamber of Commerce for Import and Export of Textiles released data showing that in the fourth quarter,China’s textile and clothing exports gradually stabilised.The proportion of intermediate...On January 8th,the China Chamber of Commerce for Import and Export of Textiles released data showing that in the fourth quarter,China’s textile and clothing exports gradually stabilised.The proportion of intermediate exports in textile and clothing exports continued to rise,providing a new impetus for the substantial expansion of exports to traditional markets and international supply chain cooperation.展开更多
This paper is concerned with the following fourth-order three-point boundary value problem , where , we discuss the existence of positive solutions to the above problem by applying to the fixed point theory in cones a...This paper is concerned with the following fourth-order three-point boundary value problem , where , we discuss the existence of positive solutions to the above problem by applying to the fixed point theory in cones and iterative technique.展开更多
The Fourth Industrial Revolution (4IR) is transforming the way we live, learn, work, and relate to one another. However, there is still an awareness inadequacy of the 4IR among project managers and the society in Tanz...The Fourth Industrial Revolution (4IR) is transforming the way we live, learn, work, and relate to one another. However, there is still an awareness inadequacy of the 4IR among project managers and the society in Tanzania, thus low readiness to conceptualize, implement and manage 4IR-related projects in the country. This study aimed to assess the 4IR readiness of project managers in Tanzania. The assessment is made in the frame of 4 readiness dimensions: strategy and governance structure, technology awareness, human capital digital skills development, and social-economic impact. The research used a quantitative method with the diffusion of innovations theory perspective, and data were collected mainly through an online survey questionnaire. The survey aimed at answering the research question concerning the project managers’ readiness for the 4IR. The 50 valid samples were completed by project managers from various industries such as agriculture, finance, consulting, construction, education and training, government, healthcare, Information Technology, and manufacturing. Data were analysed using SPSS. The results revealed that despite the generally low awareness of 4IR, several project managers in Tanzania have some varying awareness of 4IR technologies such as artificial intelligence, Internet of Things (IoT), data analytics, blockchain, robotics, cryptocurrency, chatbots, drones, and other digital transformation platforms. The results also indicated that project managers in Tanzania had little extent in readiness to initiate, develop and implement 4IR products and services due to inadequate 4IR-related awareness, strategy and governance structure, human capital digital skills development, and social economic impact. Consequently, some recommendations are made in the frame of the four assessed readiness dimensions for improvement. The value of this research is mainly to provide the state of 4IR readiness of project managers and associated recommendations to policymakers, practitioners, academia, donors, business industry and youth in digital innovation. The study also contributes to the body of knowledge on 4IR, project management and digital transformation.展开更多
This work presents a comprehensive fourth-order predictive modeling (PM) methodology that uses the MaxEnt principle to incorporate fourth-order moments (means, covariances, skewness, kurtosis) of model parameters, com...This work presents a comprehensive fourth-order predictive modeling (PM) methodology that uses the MaxEnt principle to incorporate fourth-order moments (means, covariances, skewness, kurtosis) of model parameters, computed and measured model responses, as well as fourth (and higher) order sensitivities of computed model responses to model parameters. This new methodology is designated by the acronym 4<sup>th</sup>-BERRU-PM, which stands for “fourth-order best-estimate results with reduced uncertainties.” The results predicted by the 4<sup>th</sup>-BERRU-PM incorporates, as particular cases, the results previously predicted by the second-order predictive modeling methodology 2<sup>nd</sup>-BERRU-PM, and vastly generalizes the results produced by extant data assimilation and data adjustment procedures.展开更多
为了研究对任意素数模p的一类广义Kloosterman和的四次均值,利用初等与解析方法、Gauss和以及三角和的转换性质引入了当素数p≡1 mod 4时该均值的计算问题,并将该类均值转化为特征和的简易形式。从计算结果上对均值的估计具有充分性,从...为了研究对任意素数模p的一类广义Kloosterman和的四次均值,利用初等与解析方法、Gauss和以及三角和的转换性质引入了当素数p≡1 mod 4时该均值的计算问题,并将该类均值转化为特征和的简易形式。从计算结果上对均值的估计具有充分性,从计算方法上对广义Kloosterman和各种形式的四次均值研究具有重要的参考价值。此外,这也为指数和均值计算问题提供了一种新的转化思路与方法,必将对有关问题的进一步探索起到推动作用。展开更多
This work (in two parts) will present a novel predictive modeling methodology aimed at obtaining “best-estimate results with reduced uncertainties” for the first four moments (mean values, covariance, skewness and k...This work (in two parts) will present a novel predictive modeling methodology aimed at obtaining “best-estimate results with reduced uncertainties” for the first four moments (mean values, covariance, skewness and kurtosis) of the optimally predicted distribution of model results and calibrated model parameters, by combining fourth-order experimental and computational information, including fourth (and higher) order sensitivities of computed model responses to model parameters. Underlying the construction of this fourth-order predictive modeling methodology is the “maximum entropy principle” which is initially used to obtain a novel closed-form expression of the (moments-constrained) fourth-order Maximum Entropy (MaxEnt) probability distribution constructed from the first four moments (means, covariances, skewness, kurtosis), which are assumed to be known, of an otherwise unknown distribution of a high-dimensional multivariate uncertain quantity of interest. This fourth-order MaxEnt distribution provides optimal compatibility of the available information while simultaneously ensuring minimal spurious information content, yielding an estimate of a probability density with the highest uncertainty among all densities satisfying the known moment constraints. Since this novel generic fourth-order MaxEnt distribution is of interest in its own right for applications in addition to predictive modeling, its construction is presented separately, in this first part of a two-part work. The fourth-order predictive modeling methodology that will be constructed by particularizing this generic fourth-order MaxEnt distribution will be presented in the accompanying work (Part-2).展开更多
基金supported by the National Natural Science Foundation of China(12271296,12271195).
文摘This paper is a continuation of recent work by Guo-Xiang-Zheng[10].We deduce the sharp Morrey regularity theory for weak solutions to the fourth order nonhomogeneous Lamm-Rivière equation △^{2}u=△(V▽u)+div(w▽u)+(▽ω+F)·▽u+f in B^(4),under the smallest regularity assumptions of V,ω,ω,F,where f belongs to some Morrey spaces.This work was motivated by many geometrical problems such as the flow of biharmonic mappings.Our results deepens the Lp type regularity theory of[10],and generalizes the work of Du,Kang and Wang[4]on a second order problem to our fourth order problems.
文摘On January 8th,the China Chamber of Commerce for Import and Export of Textiles released data showing that in the fourth quarter,China’s textile and clothing exports gradually stabilised.The proportion of intermediate exports in textile and clothing exports continued to rise,providing a new impetus for the substantial expansion of exports to traditional markets and international supply chain cooperation.
文摘This paper is concerned with the following fourth-order three-point boundary value problem , where , we discuss the existence of positive solutions to the above problem by applying to the fixed point theory in cones and iterative technique.
文摘The Fourth Industrial Revolution (4IR) is transforming the way we live, learn, work, and relate to one another. However, there is still an awareness inadequacy of the 4IR among project managers and the society in Tanzania, thus low readiness to conceptualize, implement and manage 4IR-related projects in the country. This study aimed to assess the 4IR readiness of project managers in Tanzania. The assessment is made in the frame of 4 readiness dimensions: strategy and governance structure, technology awareness, human capital digital skills development, and social-economic impact. The research used a quantitative method with the diffusion of innovations theory perspective, and data were collected mainly through an online survey questionnaire. The survey aimed at answering the research question concerning the project managers’ readiness for the 4IR. The 50 valid samples were completed by project managers from various industries such as agriculture, finance, consulting, construction, education and training, government, healthcare, Information Technology, and manufacturing. Data were analysed using SPSS. The results revealed that despite the generally low awareness of 4IR, several project managers in Tanzania have some varying awareness of 4IR technologies such as artificial intelligence, Internet of Things (IoT), data analytics, blockchain, robotics, cryptocurrency, chatbots, drones, and other digital transformation platforms. The results also indicated that project managers in Tanzania had little extent in readiness to initiate, develop and implement 4IR products and services due to inadequate 4IR-related awareness, strategy and governance structure, human capital digital skills development, and social economic impact. Consequently, some recommendations are made in the frame of the four assessed readiness dimensions for improvement. The value of this research is mainly to provide the state of 4IR readiness of project managers and associated recommendations to policymakers, practitioners, academia, donors, business industry and youth in digital innovation. The study also contributes to the body of knowledge on 4IR, project management and digital transformation.
文摘This work presents a comprehensive fourth-order predictive modeling (PM) methodology that uses the MaxEnt principle to incorporate fourth-order moments (means, covariances, skewness, kurtosis) of model parameters, computed and measured model responses, as well as fourth (and higher) order sensitivities of computed model responses to model parameters. This new methodology is designated by the acronym 4<sup>th</sup>-BERRU-PM, which stands for “fourth-order best-estimate results with reduced uncertainties.” The results predicted by the 4<sup>th</sup>-BERRU-PM incorporates, as particular cases, the results previously predicted by the second-order predictive modeling methodology 2<sup>nd</sup>-BERRU-PM, and vastly generalizes the results produced by extant data assimilation and data adjustment procedures.
文摘为了研究对任意素数模p的一类广义Kloosterman和的四次均值,利用初等与解析方法、Gauss和以及三角和的转换性质引入了当素数p≡1 mod 4时该均值的计算问题,并将该类均值转化为特征和的简易形式。从计算结果上对均值的估计具有充分性,从计算方法上对广义Kloosterman和各种形式的四次均值研究具有重要的参考价值。此外,这也为指数和均值计算问题提供了一种新的转化思路与方法,必将对有关问题的进一步探索起到推动作用。
文摘This work (in two parts) will present a novel predictive modeling methodology aimed at obtaining “best-estimate results with reduced uncertainties” for the first four moments (mean values, covariance, skewness and kurtosis) of the optimally predicted distribution of model results and calibrated model parameters, by combining fourth-order experimental and computational information, including fourth (and higher) order sensitivities of computed model responses to model parameters. Underlying the construction of this fourth-order predictive modeling methodology is the “maximum entropy principle” which is initially used to obtain a novel closed-form expression of the (moments-constrained) fourth-order Maximum Entropy (MaxEnt) probability distribution constructed from the first four moments (means, covariances, skewness, kurtosis), which are assumed to be known, of an otherwise unknown distribution of a high-dimensional multivariate uncertain quantity of interest. This fourth-order MaxEnt distribution provides optimal compatibility of the available information while simultaneously ensuring minimal spurious information content, yielding an estimate of a probability density with the highest uncertainty among all densities satisfying the known moment constraints. Since this novel generic fourth-order MaxEnt distribution is of interest in its own right for applications in addition to predictive modeling, its construction is presented separately, in this first part of a two-part work. The fourth-order predictive modeling methodology that will be constructed by particularizing this generic fourth-order MaxEnt distribution will be presented in the accompanying work (Part-2).
