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找一个“标准”来估计——由“比一比,算一算”教学片断想到的
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作者 王文英 《江苏教育》 2003年第06B期45-45,共1页
[教学片断]师通过媒体出示两幅图:
关键词 “比一比 一算 教学片断 一年级 能力 数感 小学 数学教学
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算一算
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《作文(初中年级)》 2011年第2期20-20,共1页
期中考试之后,数学老师要公布成绩,他说:“90分以上的和80分以上的人数一样多;80分以上的和70分以上的人数也一样多。”话一说完,全班一阵欢呼。一位同学追问道:“那么不及格的人数呢?”老师不急不躁地回答:“不及格的人数和全... 期中考试之后,数学老师要公布成绩,他说:“90分以上的和80分以上的人数一样多;80分以上的和70分以上的人数也一样多。”话一说完,全班一阵欢呼。一位同学追问道:“那么不及格的人数呢?”老师不急不躁地回答:“不及格的人数和全班的人数一样多。” 展开更多
关键词 幽默 中学 课外阅读 一算
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求解LP问题的部分基变量算法 被引量:3
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作者 周康 彭颖君 +1 位作者 王防修 同小军 《华中科技大学学报(自然科学版)》 EI CAS CSCD 北大核心 2008年第1期82-84,128,共4页
一般形式的线性规划问题在找不到基本可行解或对偶问题的基本可行解时,无法用传统的单纯形法或对偶单纯形法求解,即"两看一算"算法.为了解决这个问题,结合两种"两看一算"算法,提出了一种新的算法——部分基变量算法... 一般形式的线性规划问题在找不到基本可行解或对偶问题的基本可行解时,无法用传统的单纯形法或对偶单纯形法求解,即"两看一算"算法.为了解决这个问题,结合两种"两看一算"算法,提出了一种新的算法——部分基变量算法.该算法首先从部分基变量出发,由初等行变换将LP问题转化为准典式,然后由初等行变换找到全部可行基变量,最后用对偶单纯形法得到最优解.对算法的正确性和可行性进行了严格证明,提出算法的实现方式并举例进行了说明,对算法的特点进行了讨论.分析表明所提出的算法是实现线性规划问题求解的较为理想的算法. 展开更多
关键词 线性规划问题 部分基变量 “两看一算
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《数术记遗》中的算器研究(一) 被引量:2
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作者 李培业 《珠算》 2002年第4期2-5,共4页
《数术记遗》旧题汉徐岳撰,北周甄鸾注。唐代选举之制,学习《算经十书》外,兼习此书。《四库全书》提要认为当时好事者因托为之,嫁名於岳。钱宝琮先生认为是甄鸾依托伪造的书。近有人提出反对,认为确为汉末著作。关于著作年代,另... 《数术记遗》旧题汉徐岳撰,北周甄鸾注。唐代选举之制,学习《算经十书》外,兼习此书。《四库全书》提要认为当时好事者因托为之,嫁名於岳。钱宝琮先生认为是甄鸾依托伪造的书。近有人提出反对,认为确为汉末著作。关于著作年代,另外详考。此处只对书中所载的十三种算器进行研究。 展开更多
关键词 《数术记遗》 经十书》 《四库全书》 一算 两仪 三才
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“统筹e算”概论
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作者 关永冰 殷耀静 郑冀东 《中国建设信息》 2014年第12期70-72,共3页
本文提出了统筹e算的十六字要点:"公开算式、校核结果、电算基数、一算多用",并结合一个框架结构的实际案例,进行了详细讲解。公开计算式,让计算书和图纸一起,一传到底,打破算量信息孤岛;校核结果,确保计算正确和完整;电算基... 本文提出了统筹e算的十六字要点:"公开算式、校核结果、电算基数、一算多用",并结合一个框架结构的实际案例,进行了详细讲解。公开计算式,让计算书和图纸一起,一传到底,打破算量信息孤岛;校核结果,确保计算正确和完整;电算基数,让造价员彻底摆脱手算;一算多用,实现工程量计算的科学化、标准化、模板化。 展开更多
关键词 统筹e 公开 校核结果 基数 一算多用
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从统筹法算量到“统筹e算” 被引量:1
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作者 刁素娟 杨凤华 《中国建设信息》 2011年第14期64-67,共4页
本文分析了统筹法计算工程量的现状和三种对基数定义的方法;阐述了"统筹e算"的概念,提出将原统筹法算量的32字要点发展为包括思想、关联、功能3个方面的8条64字要点,并辅以规范工程量计算式的11条规程,从而形成了"统筹e... 本文分析了统筹法计算工程量的现状和三种对基数定义的方法;阐述了"统筹e算"的概念,提出将原统筹法算量的32字要点发展为包括思想、关联、功能3个方面的8条64字要点,并辅以规范工程量计算式的11条规程,从而形成了"统筹e算"的理论体系。统筹e算与图形算量的关系是相辅相成、互相验证,通过两算对比,用"两条腿走路"来确保工程量清单的准确性和完整性。 展开更多
关键词 统筹法 基数 一算多用 统筹e
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秦“算赋”问题再考察
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作者 束江涛 《咸阳师范学院学报》 2021年第1期1-6,共6页
"算赋"问题研究是把握秦汉赋役制度演变的应有之义,也是透视秦汉编户民负担叠加的重要一环。臧知非先生最近提出秦无汉式算赋论后,晋文先生随即展开批评,并认为秦代存有仅向妇女征收的算赋。实际上,晋文先生的批评缺乏有效依... "算赋"问题研究是把握秦汉赋役制度演变的应有之义,也是透视秦汉编户民负担叠加的重要一环。臧知非先生最近提出秦无汉式算赋论后,晋文先生随即展开批评,并认为秦代存有仅向妇女征收的算赋。实际上,晋文先生的批评缺乏有效依据,在"初为赋""十妻不筭""不得一算之复"三组史料的理解上也存在偏差,不足以构成秦代确有算赋的完整证据链。 展开更多
关键词 初为赋 十妻不筭 不得一算之复
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电力市场中计算输电电价的一种新方法 被引量:28
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作者 任震 吴国玥 黄雯莹 《中国电机工程学报》 EI CSCD 北大核心 2003年第1期37-40,170,共5页
该文基于边际成本理论,提出了一种计算输电电价的新方法,在保留边际成本定价中的经济信息的同时,综合考虑了无功电价,又考虑了电网的年收支平衡,最后,通过潮流跟踪法,确定有功、无功电价及固定成本在各个用户间的分配,使定价模型更加合... 该文基于边际成本理论,提出了一种计算输电电价的新方法,在保留边际成本定价中的经济信息的同时,综合考虑了无功电价,又考虑了电网的年收支平衡,最后,通过潮流跟踪法,确定有功、无功电价及固定成本在各个用户间的分配,使定价模型更加合理、完善。经IEEE6节点系统算例证明,该文所提的模型和算法是正确而有效的,具有重要的理论意义和工程实际价值,特别是对于在厂网分开后电网建设以及维护电网稳定的资金筹措有相当的指导价值。 展开更多
关键词 电网 无功功率 边际成本理论 潮流计 电力市场 输电电价
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中华传统文化--珠算系列介绍古算十四法之珠算法
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《山东商业职业技术学院学报》 2019年第6期F0002-F0003,共2页
由汉代徐岳撰、北周甄鸾注的古算书《数术记遗》共记载了当时的十四种算法,分别是:积算(即筹算)、太一算、两仪算、三才算、五行算、八卦算、九宫算、运筹算、了知算、成数算、把头算、龟算、珠算和计数(心算)。
关键词 九宫 两仪 徐岳 运筹 一算 十四法 中华传统文化
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《周易》里的数学殿堂与珠算数理
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作者 王大路 《珠算与珠心算》 2016年第3期51-56,共6页
郭沫若在《中国古代社会研究》中说:"《周易》是一座神秘的殿堂,因为它自己就是由一些神秘的砖块‘八卦’所砌成。"此言不虚,"殿"里既有阴阳两极的传奇,也有"三生万物"的玄机;既有"珠算演易"的考古发现,也有天地之数的博大精... 郭沫若在《中国古代社会研究》中说:"《周易》是一座神秘的殿堂,因为它自己就是由一些神秘的砖块‘八卦’所砌成。"此言不虚,"殿"里既有阴阳两极的传奇,也有"三生万物"的玄机;既有"珠算演易"的考古发现,也有天地之数的博大精深。一、一阴一阳与计算机二进制万年对话孔子赞叹《周易》曰:"易之义,唯阴与阳"。一阴一阳包含的现代"二进制"数理模式,比西方早了近万年。 展开更多
关键词 天地之数 一阴一阳 三生万物 阴阳两极 两仪 中说 一算 阴爻 爻辞 无极而太极
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算一算
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作者 黄晋晓 《小学生导刊(低年级版)》 2019年第8期33-33,共1页
三角形、圆形和正方形分别代表1~5中的哪个数,才能使4道算式都成立?
关键词 一算 三角形 圆形
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说“VP一X_量是/算一X_量” 被引量:3
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作者 朱军 《汉语学报》 CSSCI 北大核心 2019年第4期68-76,96,共10页
现代汉语中,"VP一X量是/算一X量"是一种常用的同语复用构式,过往研究对其构式义的分析缺乏一致性。本文认为它是一种主观量构式,构式义可概括为"动尽其量",这比以往研究有更强的概括力和解释力。"动尽其量&qu... 现代汉语中,"VP一X量是/算一X量"是一种常用的同语复用构式,过往研究对其构式义的分析缺乏一致性。本文认为它是一种主观量构式,构式义可概括为"动尽其量",这比以往研究有更强的概括力和解释力。"动尽其量"在"充分强调小/少/短时量"的语义基础上,随成分变量与语境变化主要有四种不同的意义:优于无量、积少成多、量少质优、忽略长远。文章还讨论了该构式的构式变化、构式连用和构式压制现象。 展开更多
关键词 “VP一X量是/一X量” “动尽其量” 构式义
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First principles calculation of intermetallic compounds in FeTiCoNiVCrMnCuAl system high entropy alloy 被引量:10
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作者 农智升 朱景川 +1 位作者 于海玲 来忠红 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2012年第6期1437-1444,共8页
The structural, electronic and elastic properties of common intermetallic compounds in FeTiCoNiVCrMnCuAI system high entropy alloy were investigated by the first principles calculation. The calculation results of form... The structural, electronic and elastic properties of common intermetallic compounds in FeTiCoNiVCrMnCuAI system high entropy alloy were investigated by the first principles calculation. The calculation results of formation enthalpy and cohesive energy show that FeTi, Fe2Ti, AlCrFe2, Co2Ti, AlMn2V and Mn2Ti phases may form in the formation process of the alloy. Further studies show that FeTi, FezTi, AlCrFe2, Co2Ti and AlMn2V phases with higher shear modulus and elastic modulus would be excellent strengthening phases in high entropy alloy and would improve the hardness of the alloy. In addition, the partial density of states was investigated for revealing the bonding mode, and the analyses on the strength of p-d hybridization also reveal the underlying mechanism for the elastic properties of these compounds. 展开更多
关键词 FeTiCoNiVCrMnCuA1 system high entropy alloy first principles calculation phase stability
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Effects of external stress aging on morphology and precipitation behavior of θ'' phase in Al-Cu alloy 被引量:5
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作者 傅上 易丹青 +3 位作者 刘会群 江勇 王斌 胡湛 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2014年第7期2282-2288,共7页
The exposure of Al-5Cu alloy to an external stress with normal aging was carried out. The effects of external stress-aging on the morphology and precipitation behavior of θ" phase were investigated by transmission e... The exposure of Al-5Cu alloy to an external stress with normal aging was carried out. The effects of external stress-aging on the morphology and precipitation behavior of θ" phase were investigated by transmission electron microscopy (TEM), differential scanning calorimetry (DSC) and first principle calculation. The size of the θ" phase precipitated plates in stress-aging (453 K, 6 h, 50 MPa) is 19.83 nm, which is smaller than that of those present (28.79 nm) in stress-flee aging (453 K, 6 h). The precipitation process of θ" phase is accelerated by loading external stress aging according to the analysis of DSC results. The apparent activation energy for the external stress-aging is 10% lower than the stress-free one. The first principle calculation results show that the external stress makes a decrease of 6% in the interface energy. The effects of the stress on aging process of the alloy are discussed on the basis of the classical theory. The external stress changes the morphology and precipitation behavior of θ" phase because the critical nucleation energy is decreased by 19% under stress aging. 展开更多
关键词 Al-Cu alloy stress aging MORPHOLOGY precipitation behavior first principle calculation interface energy
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First-principles study of intrinsic defects,dopants and dopant-defect complexes in LiBH_4 被引量:2
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作者 张国英 刘贵立 张辉 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2012年第7期1717-1722,共6页
A first-principles study was reported based on density functional theory of hydrogen vacancy,metal dopants,metal dopant-vacancy complex in LiBH4,a promising material for hydrogen storage.The formation of H vacancy and... A first-principles study was reported based on density functional theory of hydrogen vacancy,metal dopants,metal dopant-vacancy complex in LiBH4,a promising material for hydrogen storage.The formation of H vacancy and metal doping in LiBH4 is difficult,and their concentrations are low.The presence of one kind of defect is helpful to the formation of other kind of defect.Based on the analysis of electronic structure,the improvement of the dehydrogenating kinetics of LiBH4 by metal catalysts is due to the weaker bonding of B—H and the new metal-like system,which makes H atom diffuse easily;H vacancy accounts for a trace amount of BH3 release during the decomposing process of LiBH4;metal dopant weakens the strength of B—H bonds,which reduces the dehydriding temperature of LiBH4.The roles of metal and vacancy in the metal dopant-vacancy complex can be added in LiBH4 system. 展开更多
关键词 LiBH4 hydrogen storage material first-principles calculation DEFECT H diffusion dehydrogenating properties
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First principles investigation of binary intermetallics in Mg-Al-Ca-Sn alloy:Stability,electronic structures,elastic properties and thermodynamic properties 被引量:8
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作者 王峰 孙士杰 +3 位作者 于波 张峰 毛萍莉 刘正 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2016年第1期203-212,共10页
The structural stability, electronic structures, elastic properties and thermodynamic properties of the main binary phases Mg_(17)Al_(12), Al_2Ca, Mg_2 Sn and Mg_2 Ca in Mg-Al-Ca-Sn alloy were determined from the ... The structural stability, electronic structures, elastic properties and thermodynamic properties of the main binary phases Mg_(17)Al_(12), Al_2Ca, Mg_2 Sn and Mg_2 Ca in Mg-Al-Ca-Sn alloy were determined from the first-principles calculation. The calculated lattice parameters are in good agreement with the experimental and literature values. The calculated heats of formation and cohesive energies show that Al_2Ca has the strongest alloying ability and structural stability. The densities of states(DOS), Mulliken electron occupation number, metallicity and charge density difference of these compounds are given. The elastic constants of Mg_(17)Al_(12), Al_2Ca, Mg_2 Sn and Mg_2 Ca phases are calculated, and the bulk moduli, shear moduli, elastic moduli and Poisson ratio are derived. The calculations of thermodynamic properties show that the Gibbs free energies of Al_2Ca and Mg_2 Sn are lower than that of Mg_(17)Al_(12), which indicates that Al_2Ca and Mg_2 Sn are more stable than Mg_(17)Al_(12) phase. Hence, the heat resistance of Mg-Al-based alloys can be improved by adding Ca and Sn additions. 展开更多
关键词 Mg-Al alloy first-principles calculation electronic structure elastic properties thermodynamic properties
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A non-monotone Phase-1 method in linear programming 被引量:4
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作者 潘平奇 李炜 《Journal of Southeast University(English Edition)》 EI CAS 2003年第3期293-296,共4页
To gain superior computational efficiency, it might be necessary to change the underlying philosophy of the simplex method. In this paper, we propose a Phase-1 method along this line. We relax not only the conventiona... To gain superior computational efficiency, it might be necessary to change the underlying philosophy of the simplex method. In this paper, we propose a Phase-1 method along this line. We relax not only the conventional condition that some function value increases monotonically, but also the condition that all feasible variables remain feasible after basis change in Phase-1. That is, taking a purely combinatorial approach to achieving feasibility. This enables us to get rid of ratio test in pivoting, reducing computational cost per iteration to a large extent. Numerical results on a group of problems are encouraging. 展开更多
关键词 linear programming Phase-1 ratio-test-free pivoting rule
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First-Principles Study of Magnetism in Transition Metal Doped Na0.5Bi0.5TiO3 System 被引量:1
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作者 鞠林 徐同帅 +1 位作者 张雍家 孙礼 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 2016年第4期462-466,I0002,共6页
The origins of magnetism in transition-metal doped Na0.5Bi0.5TiO3 system are investigated by ab initio calculations. The calculated results indicate that a transition-metal atom sub- stitution for a Ti atom produces m... The origins of magnetism in transition-metal doped Na0.5Bi0.5TiO3 system are investigated by ab initio calculations. The calculated results indicate that a transition-metal atom sub- stitution for a Ti atom produces magnetic moments, which are due to the spin-polarization of transition-metal 3d electrons. The characteristics of exchange coupling are also calculated, which shows that in Cr-/Mn-/Fe-/Co- doped Na0.5Bi0.5TiO3 system, the antiferromagnetic coupling is favorable. The results can successfully explain the experimental phenomenon that, in Mn-/Fe- doped Nao.sBio.sTiO3 system, the ferromagnetism disappears at low tem- perature and the paramagnetic component becomes stronger with the increase of doping concentration of Mn/Fe/Co ions. Unexpectedly, we find the Na0.5Bi0.5Ti0.67V0.33iO3 sys- tem with ferromagnetic coupling is favorable and produces a magnetic moment of 2.00 P-B, which indicates that low temperature ferromagnetism materials could be made by intro- ducing V atoms in Na0.5Bi0.5TiO3. This may be a new way to produce low temperature multiferroic materials. 展开更多
关键词 Transition-metal atom SUBSTITUTION Magnetic moment First-principles calculation.
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A first-principles study on electronic structure and elastic properties of Al_4Sr, Mg_2Sr and Mg_(23)Sr_6 phases 被引量:1
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作者 周惦武 刘金水 彭平 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2011年第12期2677-2683,共7页
The electronic structures and mechanical properties of Al4Sr, Mg2Sr and Mg23Sr6 phases were determined by the use of first-principles calculations. The calculated heat of formation and cohesive energy indicate that Al... The electronic structures and mechanical properties of Al4Sr, Mg2Sr and Mg23Sr6 phases were determined by the use of first-principles calculations. The calculated heat of formation and cohesive energy indicate that Al4Sr has the strongest alloying ability as well as the highest structural stability. The elastic parameters were calculated, and then the bulk modulus, shear modulus, elastic modulus and Poisson ratio were derived. The ductility and plasticity were discussed. The results show that Al4Sr and Mg2Sr phases both are ductile, on the contrary, Mg23Sr6 is brittle, and among the three phases, Mg2Sr is a phase with the best plasticity. 展开更多
关键词 magnesium alloy first-principles calculation electronic structure elastic property
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Application of the Sediment Mathematical Modelling on Planned Project of Lingdingyang Bay 被引量:6
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作者 李大鸣 李冰绯 张红萍 《Transactions of Tianjin University》 EI CAS 2002年第4期285-290,共6页
Based on the combined hydraulic calculation for the eastern network region at the Pearl River estuary and several outlets to the Lingdingyang Bay, the sediment calculation modelling was introduced in the establishment... Based on the combined hydraulic calculation for the eastern network region at the Pearl River estuary and several outlets to the Lingdingyang Bay, the sediment calculation modelling was introduced in the establishment of the sediment mathematical model for Lingdingyang Bay and the eastern region with one and two dimensional flow calculation. Model adjustment and verification were performed in conjunction with field data. The simulated results coincide well with measured data.In addition the model is applied to predict the shore-line planning scheme of Lingdingyang Bay.The theoretical criterion is provided for the shore line plan in the model.And a new mathematical simulated method is put out to research the planning engineering concerned with one-dimensional net rivers and two-dimensional estuary. 展开更多
关键词 sediment mathematical model one and two-dimensional flow calculation Lingdingyang bay shore-line plan
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