Yang Hui was one of the most important authors of mathematical works during the thirteenth century.Mathematical Methods Explaining in Detail The Nine Chapters(Xiangjie jiuzhang suanfa詳解九章算法,1261 CE)is the earlie...Yang Hui was one of the most important authors of mathematical works during the thirteenth century.Mathematical Methods Explaining in Detail The Nine Chapters(Xiangjie jiuzhang suanfa詳解九章算法,1261 CE)is the earliest extant work attributed to Yang Hui.From the thirteenth to the fifteenth century,this work played a crucial role in the circulation and popularization of The Nine Chapters on Mathematical Procedures(Jiuzhang suanshu九章算术).However,the only surviving printed edition of Mathematical Methods is incomplete and contains many mistakes obstructing contemporary researchers'understanding of this work.The "Fangcheng" chapter of The Nine Chapters deals with problems related to solving what today are known as simultaneous sets of linear equations.However,interpreting the text in this chapter of Mathematical Methods and recovering the mathematical practices relating to fangcheng are difficult.Through detailed textual and mathematical analyses,the author of this paper explains Yang Hufs understanding and practice relating to〃the fangcheng method"and"the method of the positive and the negative".This paper includes an appendix that provides a detailed translation of the ambiguous text relating to"the method of the positive and the negative"and gives reasons supporting the interpretation provided here.Yang Hufs understanding of the concepts of"positive"and"negative"and his practice relating to these two concepts may easily be confused with their apparent counterparts in modem mathematics.Also,careful analysis of the mathematical methods in this work reveal that the order of problems in Yang Hufs Reclassifications of Mathematical Methods Explaining in Detail The Nine Chapters([Xiangjie jiuzhang suanfa zuanlei詳解九章算法纂類],namely,the last section of Mathematical Methods)were rearranged according to commentaries to specific methods that appear in Mathematical Methods.Some textual clues referring to the zzprevious question"(qianwen前問)in certain commentaries of Mathematical Methods indeed reflect the order of problems in Reclassifications.Yang Hui made especially detailed commentaries on the problems that he arranged in a sequence that differs with respect to the original order of problems as they appear in the ancient classic work,The Nine Chapters.All these discoveries reveal and serve to prove a close relationship between Yang Hufs Mathematical Methods and his Reclassifications.展开更多
Discourse pragmatics interprets the context-specific meaning of communicative events underlining texts in use. It is a cross-disciplinary study based on pragmatics, social linguistics and discourse analysis. This pape...Discourse pragmatics interprets the context-specific meaning of communicative events underlining texts in use. It is a cross-disciplinary study based on pragmatics, social linguistics and discourse analysis. This paper uses the theories and dynamic descriptions of conversation analysis and thematic structure analysis to examine two real texts for their textual and interpersonal meanings in order to illustrate the necessity as well as the feasibility of applying modern linguistic theories in transforming traditional methods of language teaching.展开更多
Article 4 of the Labor Contract Law lays down the right of the Staff and Workers＇ Representative Congress （SWRC） to deliberate on the formulation of （intra-enterprise） work regulations, but this has become a ＂s...Article 4 of the Labor Contract Law lays down the right of the Staff and Workers＇ Representative Congress （SWRC） to deliberate on the formulation of （intra-enterprise） work regulations, but this has become a ＂soft＂ law in judicial practice. The judicial criteria for judging the validity of work regulations are in essence determined by the judge＇s judgment on their reasonableness. As an important embodiment of Chinese politics, economics and culture, the transformation of the SWRC that accompanied the market economy has not negated its value as an indigenous traditional resource. The SWRC does not just enjoy deliberative rights in the formation of regulations, as clearly specified in constitutional law, but also has rights under the law in local legislation and practice. Hence the system of work regulations is neither a unilateral decision on the part of management nor a contract, but rather an autonomous norm developed through the SWRC mechanism. Given the mandatory nature of Article 4 of the Labor Contract Law, regulations will only be valid after they havegone through a democratic process. The further development of the theory of normative system formation should endow the SWRC with greater rights and integrate it smoothly with the collective contract system to standardize collective labor relations.展开更多
Prey choice is often evaluated at the species or population level. Here, we analyzed the diet of octopuses of different populations with the aim to assess the importance of individual feeding habits as a factor affect...Prey choice is often evaluated at the species or population level. Here, we analyzed the diet of octopuses of different populations with the aim to assess the importance of individual feeding habits as a factor affecting prey choice. Two methods were used, an assessment of the extent to which an individual octopus made choices of species representative of those population （PSi and IS） and 25% cutoff values for number of choices and percentage intake of individual on their prey. In one population of Octopus cfvulgaris in Bermuda individuals were generalist by IS=0.77, but most chose many prey of the same species, and were specialists on it by 〉75% intake. Another population had a wider prey selection, still generalist with PSi=0.66, but two individuals specialized by choices. In Bonaire, there was a wide range of prey species chosen, and the population was specialists by IS=0.42. Individual choices revealed seven specialists and four generalists. A population of Octopus cyanea in Hawaii all had similar choices of crustaceans, so the population was generalist by IS with 0.74. But by individual choices, three were considered a spe-cialist. A population of Enteroctopus dofleini from Puget Sound had a wide range of preferences, in which seven were also spe-cialists, IS=0.53, By individual choices, thirteen were also specialists. Given the octopus specialty of learning during foraging, we hypothesize that both localized prey availability and individual personality differences could influence the exploration for prey and this translates into different prey choices across individuals and populations showed in this study.展开更多
基金research projects“Elements of Continuity between Mathematical Writings from the Thirteenth to the Fifteenth Century in China(十三至十五世纪中国数学著作连续性Y950051)”“Transmission of the Knowledge of Science and Technology along the Silk Road(丝绸之路科技知识传播Y921011012,Director:Guo Yuanyuan郭园园)”of the Institute for the History of Natural Sciences,Chinese Academy of Sciences.The paper has been copyedited by John Moffett。
文摘Yang Hui was one of the most important authors of mathematical works during the thirteenth century.Mathematical Methods Explaining in Detail The Nine Chapters(Xiangjie jiuzhang suanfa詳解九章算法,1261 CE)is the earliest extant work attributed to Yang Hui.From the thirteenth to the fifteenth century,this work played a crucial role in the circulation and popularization of The Nine Chapters on Mathematical Procedures(Jiuzhang suanshu九章算术).However,the only surviving printed edition of Mathematical Methods is incomplete and contains many mistakes obstructing contemporary researchers'understanding of this work.The "Fangcheng" chapter of The Nine Chapters deals with problems related to solving what today are known as simultaneous sets of linear equations.However,interpreting the text in this chapter of Mathematical Methods and recovering the mathematical practices relating to fangcheng are difficult.Through detailed textual and mathematical analyses,the author of this paper explains Yang Hufs understanding and practice relating to〃the fangcheng method"and"the method of the positive and the negative".This paper includes an appendix that provides a detailed translation of the ambiguous text relating to"the method of the positive and the negative"and gives reasons supporting the interpretation provided here.Yang Hufs understanding of the concepts of"positive"and"negative"and his practice relating to these two concepts may easily be confused with their apparent counterparts in modem mathematics.Also,careful analysis of the mathematical methods in this work reveal that the order of problems in Yang Hufs Reclassifications of Mathematical Methods Explaining in Detail The Nine Chapters([Xiangjie jiuzhang suanfa zuanlei詳解九章算法纂類],namely,the last section of Mathematical Methods)were rearranged according to commentaries to specific methods that appear in Mathematical Methods.Some textual clues referring to the zzprevious question"(qianwen前問)in certain commentaries of Mathematical Methods indeed reflect the order of problems in Reclassifications.Yang Hui made especially detailed commentaries on the problems that he arranged in a sequence that differs with respect to the original order of problems as they appear in the ancient classic work,The Nine Chapters.All these discoveries reveal and serve to prove a close relationship between Yang Hufs Mathematical Methods and his Reclassifications.
文摘Discourse pragmatics interprets the context-specific meaning of communicative events underlining texts in use. It is a cross-disciplinary study based on pragmatics, social linguistics and discourse analysis. This paper uses the theories and dynamic descriptions of conversation analysis and thematic structure analysis to examine two real texts for their textual and interpersonal meanings in order to illustrate the necessity as well as the feasibility of applying modern linguistic theories in transforming traditional methods of language teaching.
文摘Article 4 of the Labor Contract Law lays down the right of the Staff and Workers＇ Representative Congress （SWRC） to deliberate on the formulation of （intra-enterprise） work regulations, but this has become a ＂soft＂ law in judicial practice. The judicial criteria for judging the validity of work regulations are in essence determined by the judge＇s judgment on their reasonableness. As an important embodiment of Chinese politics, economics and culture, the transformation of the SWRC that accompanied the market economy has not negated its value as an indigenous traditional resource. The SWRC does not just enjoy deliberative rights in the formation of regulations, as clearly specified in constitutional law, but also has rights under the law in local legislation and practice. Hence the system of work regulations is neither a unilateral decision on the part of management nor a contract, but rather an autonomous norm developed through the SWRC mechanism. Given the mandatory nature of Article 4 of the Labor Contract Law, regulations will only be valid after they havegone through a democratic process. The further development of the theory of normative system formation should endow the SWRC with greater rights and integrate it smoothly with the collective contract system to standardize collective labor relations.
文摘Prey choice is often evaluated at the species or population level. Here, we analyzed the diet of octopuses of different populations with the aim to assess the importance of individual feeding habits as a factor affecting prey choice. Two methods were used, an assessment of the extent to which an individual octopus made choices of species representative of those population （PSi and IS） and 25% cutoff values for number of choices and percentage intake of individual on their prey. In one population of Octopus cfvulgaris in Bermuda individuals were generalist by IS=0.77, but most chose many prey of the same species, and were specialists on it by 〉75% intake. Another population had a wider prey selection, still generalist with PSi=0.66, but two individuals specialized by choices. In Bonaire, there was a wide range of prey species chosen, and the population was specialists by IS=0.42. Individual choices revealed seven specialists and four generalists. A population of Octopus cyanea in Hawaii all had similar choices of crustaceans, so the population was generalist by IS with 0.74. But by individual choices, three were considered a spe-cialist. A population of Enteroctopus dofleini from Puget Sound had a wide range of preferences, in which seven were also spe-cialists, IS=0.53, By individual choices, thirteen were also specialists. Given the octopus specialty of learning during foraging, we hypothesize that both localized prey availability and individual personality differences could influence the exploration for prey and this translates into different prey choices across individuals and populations showed in this study.
