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从用语“術”字的多样表达看岳麓书院秦简《数》书的性质
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作者 许道胜 李薇 《史学集刊》 CSSCI 北大核心 2010年第4期21-28,共8页
岳麓书院秦简《数》书之用语"術"字有两种写法、十余种不同的表达形式。存在原本应该使用"術"字的位置不使用"術"字,而是使用"方"、"法"等与"術"大致同义词的现象。这显... 岳麓书院秦简《数》书之用语"術"字有两种写法、十余种不同的表达形式。存在原本应该使用"術"字的位置不使用"術"字,而是使用"方"、"法"等与"術"大致同义词的现象。这显示出《数》书很可能是主要源自两种书籍的抄本。 展开更多
关键词 岳麓书院 《数
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中国上古时代数学门类均输新探 被引量:5
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作者 邹大海 《自然科学史研究》 CSSCI CSCD 北大核心 2020年第4期395-424,共30页
均输是中国古代数学的一个重要门类,数学经典《九章算术》专设第6章讨论它。前人对其渊源和它与作为经济政策的均输之关系,都多有未及或存在若干问题。文章利用更为丰富的考古文献和传世文献,对中国上古时代均输的发展进行较为系统深入... 均输是中国古代数学的一个重要门类,数学经典《九章算术》专设第6章讨论它。前人对其渊源和它与作为经济政策的均输之关系,都多有未及或存在若干问题。文章利用更为丰富的考古文献和传世文献,对中国上古时代均输的发展进行较为系统深入的研究。文章对《九章算术》“均输”章算题的特征进行了新的概括,指出“均输”的含义比前人理解的公平负担要宽泛,“均输”章的构成具有高度的一致性,算题的列入是编者刻意为之,而非随意安排。文章证明,不论是数学上的两类均输算题还是经济上的两种均输都有先秦及秦代的渊源,现存《九章算术》“均输”章的5个均输算题和睡虎地汉简《算术》中的一个均输算题虽然都定型于西汉,但在先秦及秦代应该已有其蓝本。岳麓书院藏秦简《数》和张家山汉简《算数书》证明,“均输”章后24题中有一部分在战国到西汉初期就很可能存在,不必等到公元前1世纪由耿寿昌补入。 展开更多
关键词 均输 《九章算术》 秦汉法律 《盐铁论》 岳麓书院藏秦 简《数》 张家山汉简《书》 睡虎地汉简《算术》
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Operation optimization of prefabricated light modular radiant heating system:Thermal resistance analysis and numerical study
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作者 LI Yao HU Ru-kun +4 位作者 XIN Li XUE Jie HUANG Fei XIA Jian-wei YANG Xiao-hu 《Journal of Central South University》 SCIE EI CAS CSCD 2024年第6期1983-1997,共15页
The utilization of prefabricated light modular radiant heating system has demonstrated significant increases in heat transfer efficiency and energy conservation capabilities.Within prefabricated building construction,... The utilization of prefabricated light modular radiant heating system has demonstrated significant increases in heat transfer efficiency and energy conservation capabilities.Within prefabricated building construction,this new heating method presents an opportunity for the development of comprehensive facilities.The parameters for evaluating the effectiveness of such a system are the upper surface layer’s heat flux and temperature.In this paper,thermal resistance analysis calculation based on a simplified model for this unique radiant heating system analysis is presented with the heat transfer mechanism’s evaluation.The results obtained from thermal resistance analysis calculation and numerical simulation indicate that the thermal resistance analysis method is highly accurate with temperature discrepancies ranging from 0.44℃ to−0.44℃ and a heat flux discrepancy of less than 7.54%,which can meet the requirements of practical engineering applications,suggesting a foundation for the prefabricated radiant heating system. 展开更多
关键词 radiant heating system thermal resistance analysis simplified model numerical simulation heat flux temperatur
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Limit equilibrium method for slope stability based on assumed stress on slip surface 被引量:2
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作者 邓东平 赵炼恒 李亮 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第11期2972-2983,共12页
In the limit equilibrium framework, two- and three-dimensional slope stabilities can be solved according to the overall force and moment equilibrium conditions of a sliding body. In this work, based on Mohr-Coulomb(M-... In the limit equilibrium framework, two- and three-dimensional slope stabilities can be solved according to the overall force and moment equilibrium conditions of a sliding body. In this work, based on Mohr-Coulomb(M-C) strength criterion and the initial normal stress without considering the inter-slice(or inter-column) forces, the normal and shear stresses on the slip surface are assumed using some dimensionless variables, and these variables have the same numbers with the force and moment equilibrium equations of a sliding body to establish easily the linear equation groups for solving them. After these variables are determined, the normal stresses, shear stresses, and slope safety factor are also obtained using the stresses assumptions and M-C strength criterion. In the case of a three-dimensional slope stability analysis, three calculation methods, namely, a non-strict method, quasi-strict method, and strict method, can be obtained by satisfying different force and moment equilibrium conditions. Results of the comparison in the classic two- and three-dimensional slope examples show that the slope safety factors calculated using the current method and the other limit equilibrium methods are approximately equal to each other, indicating the feasibility of the current method; further, the following conclusions are obtained: 1) The current method better amends the initial normal and shear stresses acting on the slip surface, and has the identical results with using simplified Bishop method, Spencer method, and Morgenstern-Price(M-P) method; however, the stress curve of the current method is smoother than that obtained using the three abovementioned methods. 2) The current method is suitable for analyzing the two- and three-dimensional slope stability. 3) In the three-dimensional asymmetric sliding body, the non-strict method yields safer solutions, and the results of the quasi-strict method are relatively reasonable and close to those of the strict method, indicating that the quasi-strict method can be used to obtain a reliable slope safety factor. 展开更多
关键词 two-dimensional slope three-dimensional slope limit equilibrium analysis normal stress shear stress safety factor
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