Some properties of convex cones are obtained and are used to derive several equivalent conditions as well as another important property for nearly cone-subconvexlike set-valued functions. Under the assumption of nearl...Some properties of convex cones are obtained and are used to derive several equivalent conditions as well as another important property for nearly cone-subconvexlike set-valued functions. Under the assumption of nearly cone-subconvexlikeness,a Lagrangian multiplier theorem on Benson proper efficiency is presented. Related results are generalized.展开更多
The subgradient, under the weak Benson proper efficiency, of a set-valued mapping in ordered Banach space is developed, and the weak Benson proper efficient Hahn-Banach theorem of a set-valued mapping is established, ...The subgradient, under the weak Benson proper efficiency, of a set-valued mapping in ordered Banach space is developed, and the weak Benson proper efficient Hahn-Banach theorem of a set-valued mapping is established, with which the existence of the subgradient is proved and the characterizations of weak Benson proper efficient elements of constrained(unconstrained) vector set-valued optimization problems are presented.展开更多
This paper reviews key constructs explored in this special issue of Chinese Journal of Applied Linguistics, including autonomy, agency and identity in foreign/second language education. We first explore and compare, i...This paper reviews key constructs explored in this special issue of Chinese Journal of Applied Linguistics, including autonomy, agency and identity in foreign/second language education. We first explore and compare, in relatively greater depth, the complex meanings of the two similar concepts of autonomy and agency. In discussing autonomy, we start with an analysis of the meaning of capacity and control in Benson＇s （2011） broad definition of autonomy as a capacity to take control of one＇s own learning, and briefly look at related issues of learner agendas and affordances. Based on a close scrutiny of the concept of agency, we propose that autonomy and agency are best treated as distinct concepts in terms of the degree of effective control over the learning-teaching process. Following a dose examination of the two similar concepts of autonomy and agency, we discuss the concept of identity and finally the interrelatedness among these major concepts of autonomy, agency, and identity in language education.展开更多
A kind of tangent derivative and the concepts of strong and weak * pseudoconvexity for a set-valued map are introduced. By the standard separation theorems of the convex sets and cones the optimality Fritz John condit...A kind of tangent derivative and the concepts of strong and weak * pseudoconvexity for a set-valued map are introduced. By the standard separation theorems of the convex sets and cones the optimality Fritz John condition of set-valued optimization under Benson proper efficiency is established, its sufficience is discussed. The form of the optimality conditions obtained here completely tally with the classical results when the set-valued map is specialized to be a single-valued map.展开更多
Several equivalent statements of generalized subconvexlike set-valued map are established in ordered linear spaces. Using vector closure, we introduce Benson proper efficient solution of vector optimization problem. U...Several equivalent statements of generalized subconvexlike set-valued map are established in ordered linear spaces. Using vector closure, we introduce Benson proper efficient solution of vector optimization problem. Under the assumption of generalized subconvexlikeness, scalarization, multiplier and saddle point theorems are obtained in the sense of Benson proper efficiency.展开更多
The enthalpies of formation of solid organic compounds containing carbon,nitrogen,oxygen,and hydrogen were estimated using two suggested descriptor sets,separately,by machine learning methods.The two descriptor sets a...The enthalpies of formation of solid organic compounds containing carbon,nitrogen,oxygen,and hydrogen were estimated using two suggested descriptor sets,separately,by machine learning methods.The two descriptor sets are both composed of descriptors of Benson’s groups and corrected groups.The main differences between them are that one is generated based on atoms and the other is based on bonds.An in-house program was specially written in Java to extract all the descriptors with a function to ensure that each atom(or bond)of a molecule is represented by Benson’s groups once for an atom-based(or bond-based)descriptor set.Multiple linear regression and partial least squares were used,separately,to build models to predict the enthalpy of formation for two descriptor sets.The combination of the models constructed by two descriptor sets based on the atoms and the bonds achieved the best-predicted results in this paper,and the corresponding results of the test set are better than that in the literature,from which the original data were retrieved.Further,a small data set of fluorinated molecules was collected,and satisfactory results were also obtained for these molecules containing fluorine with the assistance of the former data set.展开更多
The behavior of the perturbation map is analyzed quantitatively by using the concept of contingent derivatives for set-valued maps under Benson proper efficiency. Let W(u) = Pmin[G(u),S],y∧∈W(u∧). It is shown that,...The behavior of the perturbation map is analyzed quantitatively by using the concept of contingent derivatives for set-valued maps under Benson proper efficiency. Let W(u) = Pmin[G(u),S],y∧∈W(u∧). It is shown that, under some conditions, DW(u∧,y∧) Pmin[DG(u∧,y∧),S] , and under some other conditions, DW(u∧,y∧) Pmin[DG(u∧,y∧),S].展开更多
Under the assumption that the ordering cone has a nonempty interior and is separable （or the feasible set has a nonempty interior and is separable）, we give scalarization theorems on Benson proper effciency. Applyin...Under the assumption that the ordering cone has a nonempty interior and is separable （or the feasible set has a nonempty interior and is separable）, we give scalarization theorems on Benson proper effciency. Applying the results to vector optimization problems with nearly cone-subconvexlike set-valued maps, we obtain scalarization theorems and Lagrange multiplier theorems for Benson proper effcient solutions.展开更多
The majority of marine microbes remain uncultured,which hinders the identification and mining of CO_(2)-fixing genes,pathways,and chassis from the oceans.Here,we investigated CO_(2)-fixing microbes in seawater from th...The majority of marine microbes remain uncultured,which hinders the identification and mining of CO_(2)-fixing genes,pathways,and chassis from the oceans.Here,we investigated CO_(2)-fixing microbes in seawater from the euphotic zone of the Yellow Sea of China by detecting and tracking their ^(13)C-bicarbonate(^(13)C-HCO_(3)^(-))intake via single-cell Raman spectra(SCRS)analysis.The target cells were then isolated by Raman-activated Gravity-driven Encapsulation(RAGE),and their genomes were amplified and sequenced at one-cell resolution.The single-cell metabolism,phenotype and genome are consistent.We identified a notyet-cultured Pelagibacter spp.,which actively assimilates ^(13)C-HCO_(3)^(-),and also possesses most of the genes encoding enzymes of the Calvin-Benson cycle for CO_(2) fixation,a complete gene set for a rhodopsin-based light-harvesting system,and the full genes necessary for carotenoid synthesis.The four proteorhodopsin(PR)genes identified in the Pelagibacter spp.were confirmed by heterologous expression in E.coli.These results suggest that hitherto uncultured Pelagibacter spp.uses light-powered metabolism to contribute to global carbon cycling.展开更多
An empirical method for estimating the standard enthalpy of some polar compounds is presended in this paper, that iswhere represents the standard enthalpy difference between CH3-X and R-X(R=Et, i-Pr, t-Bu, etc). It is...An empirical method for estimating the standard enthalpy of some polar compounds is presended in this paper, that iswhere represents the standard enthalpy difference between CH3-X and R-X(R=Et, i-Pr, t-Bu, etc). It is a new polarity parameter defined by us. A good result was obtained for nearly 70 polar compounds.展开更多
目前,TNM分期是临床上制订结直肠癌治疗方案的主要依据,然而,此分期系统不能充分反映临床治疗和评估患者预后的情况。按照指南,TNM分期I期和低危II期患者术后无需接受辅助治疗就可以达到理论上的完全治愈,并长期存活(Benson et al,2013...目前,TNM分期是临床上制订结直肠癌治疗方案的主要依据,然而,此分期系统不能充分反映临床治疗和评估患者预后的情况。按照指南,TNM分期I期和低危II期患者术后无需接受辅助治疗就可以达到理论上的完全治愈,并长期存活(Benson et al,2013)。然而,约有10%的I期和20%的II期患者术后会发生复发转移。因此,临床上亟需其他预测预后的辅助指标来更精确分期。展开更多
Since the initiation of market- oriented reforms in the late 1970s, many foreign entrepreneurs have been expressing concern about China’s economic growth;
古希腊悲剧诗人埃斯库罗斯曾说：“战争来临时,真理是第一个牺牲品”。英国电影《天空之眼》（Eye in the Sky）抛出了这样一个疑问：假如牺牲一个人,能够拯救一百个人,我们该如何选择？影片在程序正义（1）与生死利弊之间寻求一种理性...古希腊悲剧诗人埃斯库罗斯曾说：“战争来临时,真理是第一个牺牲品”。英国电影《天空之眼》（Eye in the Sky）抛出了这样一个疑问：假如牺牲一个人,能够拯救一百个人,我们该如何选择？影片在程序正义（1）与生死利弊之间寻求一种理性与逻辑上的答案,却最终昭示了这样的结局：在战争面前,一切真理都不复存在,人们将置身于道德悖论（2）之中。展开更多
0507669光子学设计工具:应对挑战=Design Tools for Photon-ics:Rising to the Challenge.[刊,英]/Trevor Benson,Phillip Sewell//IEEE LEOS Newsletter.—2004,18(1).—5-8(E)0507670磁光技术=Magneto-optical technologies[刊,英]/Pr...0507669光子学设计工具:应对挑战=Design Tools for Photon-ics:Rising to the Challenge.[刊,英]/Trevor Benson,Phillip Sewell//IEEE LEOS Newsletter.—2004,18(1).—5-8(E)0507670磁光技术=Magneto-optical technologies[刊,英]/Proberecording//Journal of Electronic Materials.—2002,249(3).—413(E)展开更多
文摘Some properties of convex cones are obtained and are used to derive several equivalent conditions as well as another important property for nearly cone-subconvexlike set-valued functions. Under the assumption of nearly cone-subconvexlikeness,a Lagrangian multiplier theorem on Benson proper efficiency is presented. Related results are generalized.
基金This research is supportedby the National Natural Science Foundation of China(69972036), the Natural Science Foundation of Shaan
文摘The subgradient, under the weak Benson proper efficiency, of a set-valued mapping in ordered Banach space is developed, and the weak Benson proper efficient Hahn-Banach theorem of a set-valued mapping is established, with which the existence of the subgradient is proved and the characterizations of weak Benson proper efficient elements of constrained(unconstrained) vector set-valued optimization problems are presented.
文摘This paper reviews key constructs explored in this special issue of Chinese Journal of Applied Linguistics, including autonomy, agency and identity in foreign/second language education. We first explore and compare, in relatively greater depth, the complex meanings of the two similar concepts of autonomy and agency. In discussing autonomy, we start with an analysis of the meaning of capacity and control in Benson＇s （2011） broad definition of autonomy as a capacity to take control of one＇s own learning, and briefly look at related issues of learner agendas and affordances. Based on a close scrutiny of the concept of agency, we propose that autonomy and agency are best treated as distinct concepts in terms of the degree of effective control over the learning-teaching process. Following a dose examination of the two similar concepts of autonomy and agency, we discuss the concept of identity and finally the interrelatedness among these major concepts of autonomy, agency, and identity in language education.
文摘A kind of tangent derivative and the concepts of strong and weak * pseudoconvexity for a set-valued map are introduced. By the standard separation theorems of the convex sets and cones the optimality Fritz John condition of set-valued optimization under Benson proper efficiency is established, its sufficience is discussed. The form of the optimality conditions obtained here completely tally with the classical results when the set-valued map is specialized to be a single-valued map.
文摘Several equivalent statements of generalized subconvexlike set-valued map are established in ordered linear spaces. Using vector closure, we introduce Benson proper efficient solution of vector optimization problem. Under the assumption of generalized subconvexlikeness, scalarization, multiplier and saddle point theorems are obtained in the sense of Benson proper efficiency.
基金Open Research Fund Program of Science and Technology on Aerospace Chemical Power Laboratory,China(No.120201B01)National Natural Science Foundation of China(Nos.21875061,21975066).
文摘The enthalpies of formation of solid organic compounds containing carbon,nitrogen,oxygen,and hydrogen were estimated using two suggested descriptor sets,separately,by machine learning methods.The two descriptor sets are both composed of descriptors of Benson’s groups and corrected groups.The main differences between them are that one is generated based on atoms and the other is based on bonds.An in-house program was specially written in Java to extract all the descriptors with a function to ensure that each atom(or bond)of a molecule is represented by Benson’s groups once for an atom-based(or bond-based)descriptor set.Multiple linear regression and partial least squares were used,separately,to build models to predict the enthalpy of formation for two descriptor sets.The combination of the models constructed by two descriptor sets based on the atoms and the bonds achieved the best-predicted results in this paper,and the corresponding results of the test set are better than that in the literature,from which the original data were retrieved.Further,a small data set of fluorinated molecules was collected,and satisfactory results were also obtained for these molecules containing fluorine with the assistance of the former data set.
基金Supported by the National Natural Science Foundation of China(69972036)
文摘The behavior of the perturbation map is analyzed quantitatively by using the concept of contingent derivatives for set-valued maps under Benson proper efficiency. Let W(u) = Pmin[G(u),S],y∧∈W(u∧). It is shown that, under some conditions, DW(u∧,y∧) Pmin[DG(u∧,y∧),S] , and under some other conditions, DW(u∧,y∧) Pmin[DG(u∧,y∧),S].
基金Supported by the National Natural Science Foundation of China (10571035,10871141)
文摘Under the assumption that the ordering cone has a nonempty interior and is separable （or the feasible set has a nonempty interior and is separable）, we give scalarization theorems on Benson proper effciency. Applying the results to vector optimization problems with nearly cone-subconvexlike set-valued maps, we obtain scalarization theorems and Lagrange multiplier theorems for Benson proper effcient solutions.
基金the National Key R&D Program Young Scientists Project of China(No.2021YFD1900400 to XYJ)the National Science Foundation of China(No.32270109 to XYJ)+3 种基金BM acknowledges the support of the Key Instrument Development Program from Chinese Academy of Sciences(YJKYYQ20170017)WEH acknowledges finance and instrumentation support from the Engineering and Physical Sciences Research Council(EP/M002403/1 and EP/M02833X/1)and Natural Environment Research Council(NE/M002934/1)WEH,PAD,CMC,and CNH acknowledge financial support from the Biotechnology and Biological Sciences Research Council(BBSRC UK),award number BB/M000265/1CNH and PAD are supported by the European Research Council Synergy Award 854126.We also thank NSFC(31770112)for the financial support.
文摘The majority of marine microbes remain uncultured,which hinders the identification and mining of CO_(2)-fixing genes,pathways,and chassis from the oceans.Here,we investigated CO_(2)-fixing microbes in seawater from the euphotic zone of the Yellow Sea of China by detecting and tracking their ^(13)C-bicarbonate(^(13)C-HCO_(3)^(-))intake via single-cell Raman spectra(SCRS)analysis.The target cells were then isolated by Raman-activated Gravity-driven Encapsulation(RAGE),and their genomes were amplified and sequenced at one-cell resolution.The single-cell metabolism,phenotype and genome are consistent.We identified a notyet-cultured Pelagibacter spp.,which actively assimilates ^(13)C-HCO_(3)^(-),and also possesses most of the genes encoding enzymes of the Calvin-Benson cycle for CO_(2) fixation,a complete gene set for a rhodopsin-based light-harvesting system,and the full genes necessary for carotenoid synthesis.The four proteorhodopsin(PR)genes identified in the Pelagibacter spp.were confirmed by heterologous expression in E.coli.These results suggest that hitherto uncultured Pelagibacter spp.uses light-powered metabolism to contribute to global carbon cycling.
文摘An empirical method for estimating the standard enthalpy of some polar compounds is presended in this paper, that iswhere represents the standard enthalpy difference between CH3-X and R-X(R=Et, i-Pr, t-Bu, etc). It is a new polarity parameter defined by us. A good result was obtained for nearly 70 polar compounds.
文摘目前,TNM分期是临床上制订结直肠癌治疗方案的主要依据,然而,此分期系统不能充分反映临床治疗和评估患者预后的情况。按照指南,TNM分期I期和低危II期患者术后无需接受辅助治疗就可以达到理论上的完全治愈,并长期存活(Benson et al,2013)。然而,约有10%的I期和20%的II期患者术后会发生复发转移。因此,临床上亟需其他预测预后的辅助指标来更精确分期。
文摘Since the initiation of market- oriented reforms in the late 1970s, many foreign entrepreneurs have been expressing concern about China’s economic growth;
文摘古希腊悲剧诗人埃斯库罗斯曾说：“战争来临时,真理是第一个牺牲品”。英国电影《天空之眼》（Eye in the Sky）抛出了这样一个疑问：假如牺牲一个人,能够拯救一百个人,我们该如何选择？影片在程序正义（1）与生死利弊之间寻求一种理性与逻辑上的答案,却最终昭示了这样的结局：在战争面前,一切真理都不复存在,人们将置身于道德悖论（2）之中。
文摘0507669光子学设计工具:应对挑战=Design Tools for Photon-ics:Rising to the Challenge.[刊,英]/Trevor Benson,Phillip Sewell//IEEE LEOS Newsletter.—2004,18(1).—5-8(E)0507670磁光技术=Magneto-optical technologies[刊,英]/Proberecording//Journal of Electronic Materials.—2002,249(3).—413(E)
