线性乘积和规划已出现在工程实践和管理科学等领域,是一类NP-难问题。针对该问题目标函数的特殊结构,将其重构为一个D.C.(difference of convex functions)规划问题。再利用凹函数的凸包络,构造出了一种D.C.松弛问题,并将其分解为两个...线性乘积和规划已出现在工程实践和管理科学等领域,是一类NP-难问题。针对该问题目标函数的特殊结构,将其重构为一个D.C.(difference of convex functions)规划问题。再利用凹函数的凸包络,构造出了一种D.C.松弛问题,并将其分解为两个凸子问题。然后将该D.C.松弛与超矩形的标准二分法相结合,设计了新的分支定界算法,并分析了其理论收敛性和计算复杂度。最后,借助大量数值实验验证了该算法的有效性。展开更多
The complete convergence for weighted sums of sequences of independent,identically distributed random variables under sublinear expectation space is studied.By moment inequality and truncation methods,we establish the...The complete convergence for weighted sums of sequences of independent,identically distributed random variables under sublinear expectation space is studied.By moment inequality and truncation methods,we establish the equivalent conditions of complete convergence for weighted sums of sequences of independent,identically distributed random variables under sublinear expectation space.The results complement the corresponding results in probability space to those for sequences of independent,identically distributed random variables under sublinear expectation space.展开更多
The emergence of SARS-CoV-2 variants and drug-resistant mutants emphasizes the urgent need to develop novel antiviral agents.In the present study,we examined the therapeutic effect of the Chinese medicinal herb,Scutel...The emergence of SARS-CoV-2 variants and drug-resistant mutants emphasizes the urgent need to develop novel antiviral agents.In the present study,we examined the therapeutic effect of the Chinese medicinal herb,Scutellaria barbata D.Don(SBD),against SARS-CoV-2 infection both in vitro and in vivo.Using a viral replicon particle(VRP)-based mouse model of SARS-CoV-2 infection,our study revealed that SBD extracts can reduce viral load in mouse lungs and alleviate the viral induced pneumonia.In vitro antiviral determination further validated the direct acting antiviral efficacy of SBD extracts against SARS-CoV-2 replication.Mechanistic studies demonstrated that SBD can act against SARS-CoV2 replication by targeting both 3-chymotrypsin-like and papain-like cysteine proteases,via a combination of multiple active constituents.Moreover,SBD can modulate the host inflammation response in a bi-directional manner,which also contribute to the mitigation of viral induced acute lung injury.In summary,our study provides SBD as a promising therapeutic agent to combat SARS-CoV-2 infections that merit further development.展开更多
[Objective] The aim was to study the effect of different treatments on development and growth of Halenia ellipitica D.Don.[Method] Three treatments (urea treatment group, diammonium phosphate treatment group and contr...[Objective] The aim was to study the effect of different treatments on development and growth of Halenia ellipitica D.Don.[Method] Three treatments (urea treatment group, diammonium phosphate treatment group and control group) were set in the experiment with 3 replications to detect plant height,root length, leaf number, branch number, flower number and biomass of Halenia ellipitica D.Don. in all experimental groups.[Result] The leaf number,branch number, flower number and output of crude drug of Halenia ellipitica D.Don. in urea treatment group were more than that of Halenia ellipitica D.Don. in diammonium phosphate treatment group and control group,however,the plant height and root length were not significantly different among all groups.[Conclusion] The urea generated better effect on Halenia ellipitica D.Don. cultivation than that produced by diammonium phosphate treatment.展开更多
"伟大的人民教育家"陶行知留学美国哥伦比亚大学期间,无论在专业课程选修抑或毕业论文指导上,该校施吹耳(G. D. Strayer)教授都扮演着十分重要的角色。就其归国后教育理论的形成和教育事业的建树而言,尤其在教育行政观、学校..."伟大的人民教育家"陶行知留学美国哥伦比亚大学期间,无论在专业课程选修抑或毕业论文指导上,该校施吹耳(G. D. Strayer)教授都扮演着十分重要的角色。就其归国后教育理论的形成和教育事业的建树而言,尤其在教育行政观、学校调查法和公共教育思想等方面,可以清晰地看出他对乃师施氏教育思想及理念的认同与承传。即是说,施氏所授对陶行知的教育思想和实践产生的影响颇为显现。展开更多
本文是D.C.隶属函数模糊集及其应用系列研究的第二部分。指出在实际问题中普遍选用的三角形、半三角形、梯形、半梯形、高斯型、柯西型、S形、Z形、π形隶属函数模糊集等均为D.C.隶属函数模糊集,建立了D.C.隶属函数模糊集对模糊集的万...本文是D.C.隶属函数模糊集及其应用系列研究的第二部分。指出在实际问题中普遍选用的三角形、半三角形、梯形、半梯形、高斯型、柯西型、S形、Z形、π形隶属函数模糊集等均为D.C.隶属函数模糊集,建立了D.C.隶属函数模糊集对模糊集的万有逼近性。探讨了D.C.隶属函数模糊集与模糊数之间的关系,给出了用D.C.隶属函数模糊集逼近模糊数的-εC e llina逼近形式,得到模糊数与D.C.函数之间的一个对应算子,指出了用模糊数表示D.C.函数的问题。展开更多
文摘线性乘积和规划已出现在工程实践和管理科学等领域,是一类NP-难问题。针对该问题目标函数的特殊结构,将其重构为一个D.C.(difference of convex functions)规划问题。再利用凹函数的凸包络,构造出了一种D.C.松弛问题,并将其分解为两个凸子问题。然后将该D.C.松弛与超矩形的标准二分法相结合,设计了新的分支定界算法,并分析了其理论收敛性和计算复杂度。最后,借助大量数值实验验证了该算法的有效性。
基金supported by Doctoral Scientific Research Starting Foundation of Jingdezhen Ceramic University(Grant No.102/01003002031)Re-accompanying Funding Project of Academic Achievements of Jingdezhen Ceramic University(Grant Nos.215/20506277,215/20506341)。
文摘The complete convergence for weighted sums of sequences of independent,identically distributed random variables under sublinear expectation space is studied.By moment inequality and truncation methods,we establish the equivalent conditions of complete convergence for weighted sums of sequences of independent,identically distributed random variables under sublinear expectation space.The results complement the corresponding results in probability space to those for sequences of independent,identically distributed random variables under sublinear expectation space.
基金supported by the National Natural Science Foundation of China(82274204 and 82104134)the Natural Science Foundation of Shandong Province,China(ZR2024QH110)+1 种基金the Major Basic Program of Shandong Natural Science Foundation,China(ZR2021ZD17)the Project of Youth Innovation Team of Shandong Province(2022KJ254).
文摘The emergence of SARS-CoV-2 variants and drug-resistant mutants emphasizes the urgent need to develop novel antiviral agents.In the present study,we examined the therapeutic effect of the Chinese medicinal herb,Scutellaria barbata D.Don(SBD),against SARS-CoV-2 infection both in vitro and in vivo.Using a viral replicon particle(VRP)-based mouse model of SARS-CoV-2 infection,our study revealed that SBD extracts can reduce viral load in mouse lungs and alleviate the viral induced pneumonia.In vitro antiviral determination further validated the direct acting antiviral efficacy of SBD extracts against SARS-CoV-2 replication.Mechanistic studies demonstrated that SBD can act against SARS-CoV2 replication by targeting both 3-chymotrypsin-like and papain-like cysteine proteases,via a combination of multiple active constituents.Moreover,SBD can modulate the host inflammation response in a bi-directional manner,which also contribute to the mitigation of viral induced acute lung injury.In summary,our study provides SBD as a promising therapeutic agent to combat SARS-CoV-2 infections that merit further development.
文摘[Objective] The aim was to study the effect of different treatments on development and growth of Halenia ellipitica D.Don.[Method] Three treatments (urea treatment group, diammonium phosphate treatment group and control group) were set in the experiment with 3 replications to detect plant height,root length, leaf number, branch number, flower number and biomass of Halenia ellipitica D.Don. in all experimental groups.[Result] The leaf number,branch number, flower number and output of crude drug of Halenia ellipitica D.Don. in urea treatment group were more than that of Halenia ellipitica D.Don. in diammonium phosphate treatment group and control group,however,the plant height and root length were not significantly different among all groups.[Conclusion] The urea generated better effect on Halenia ellipitica D.Don. cultivation than that produced by diammonium phosphate treatment.
文摘"伟大的人民教育家"陶行知留学美国哥伦比亚大学期间,无论在专业课程选修抑或毕业论文指导上,该校施吹耳(G. D. Strayer)教授都扮演着十分重要的角色。就其归国后教育理论的形成和教育事业的建树而言,尤其在教育行政观、学校调查法和公共教育思想等方面,可以清晰地看出他对乃师施氏教育思想及理念的认同与承传。即是说,施氏所授对陶行知的教育思想和实践产生的影响颇为显现。
文摘本文是D.C.隶属函数模糊集及其应用系列研究的第二部分。指出在实际问题中普遍选用的三角形、半三角形、梯形、半梯形、高斯型、柯西型、S形、Z形、π形隶属函数模糊集等均为D.C.隶属函数模糊集,建立了D.C.隶属函数模糊集对模糊集的万有逼近性。探讨了D.C.隶属函数模糊集与模糊数之间的关系,给出了用D.C.隶属函数模糊集逼近模糊数的-εC e llina逼近形式,得到模糊数与D.C.函数之间的一个对应算子,指出了用模糊数表示D.C.函数的问题。