期刊文献+
共找到3篇文章
< 1 >
每页显示 20 50 100
数列极限的计算 被引量:1
1
作者 卜宪敏 《中国科教创新导刊》 2009年第5期86-87,共2页
极限概念有着深刻的思想性,它包含了事物的无限运动变化过程和无限逼近思想,体现了由有限到无限、近似到精确、量变到质变的辩证思想,曾对教学发展和促进人类文明发挥过十分重要的作用。极限方法是辩证法在数学上的应用,是初等数学所没... 极限概念有着深刻的思想性,它包含了事物的无限运动变化过程和无限逼近思想,体现了由有限到无限、近似到精确、量变到质变的辩证思想,曾对教学发展和促进人类文明发挥过十分重要的作用。极限方法是辩证法在数学上的应用,是初等数学所没有的一套崭新的方法,它解决了"直与曲","近似与精确"的矛盾,是客观世界中由量变到质变的一种反映。数列极限是高等数学的重要组成部分,求数列极限的方法很多。本文总结出十余种类型的数列极限方法,讨论的内容涉及数列知识,Stolz定理,子序列的极限与函数的极限的关系,级数理论,上下极限,定积分理论,柯西收敛准则,泰勒展式,黎曼引理等,力求对数列极限的计算做一个总结。 展开更多
关键词 极限概念 极限方法 STOLZ定理 子列理论
下载PDF
Spherical periodicity as structural homology of crystalline and amorphous states 被引量:1
2
作者 张爽 董丹丹 +2 位作者 王子鉴 董闯 Peter H?ussler 《Science China Materials》 SCIE EI CSCD 2018年第3期409-416,共8页
It has been widely accepted that spherical per- iodicity generally dominates liquid and amorphous structure formation, where atoms tend to gather near spherically peri- odic shells according to Friedel oscillation. He... It has been widely accepted that spherical per- iodicity generally dominates liquid and amorphous structure formation, where atoms tend to gather near spherically peri- odic shells according to Friedel oscillation. Here it is revealed that the same order is just hidden in the atomic global packing modes of the crystalline phases relevant to bulk metallic glasses. Among the multiple nearest-neighbor dusters devel- oped from all the non-equivalent atomic sites in a given phase, there always exists a principal duster, centered by which the spherical periodicity, both topologically and chemically, is the most distinct. Then the principal dusters plus specific glue atoms just constitute the cluster-plus-glue-atom structural units shared by both metallic glasses and the corresponding crystalline phases. It is further pointed out that the spherical periodicity order represents the common structural homology of crystalline and amorphous states in the medium-range through scrutinizing all binary bulk-glass-relevant phases in Cu-(Zr, Hf), Ni-(Nb, Ta), Al-Ca, and Pd-Si systems. 展开更多
关键词 spherical periodicity order Friedel oscillation me-tallic glasses cluster-plus-glue-atom model principal cluster
原文传递
Energy studies of precipitation sequence in Ni_(75)Al_(10)Cr_(15) alloy based on the phase field theory
3
作者 DONG WeiPing CHEN Zheng WANG YongXin 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2011年第5期821-826,共6页
Based on the phase field theory, the phase precipitation sequence of Ni75A110Cr15 alloy and the free energy of each phase were studied. Moreover, the interatomic potentials of Llo phase, L12 phase and DO22 phase chang... Based on the phase field theory, the phase precipitation sequence of Ni75A110Cr15 alloy and the free energy of each phase were studied. Moreover, the interatomic potentials of Llo phase, L12 phase and DO22 phase changing with temperature and concen- trations were computed through utilizing the interatomic potentials equations induced by Khachaturyan's relational equations between the interatomic potentials and the long-range order (LRO) parameters. Results match preceding work and demonstrate that the phase precipitation sequence of Ni75AlloCr15 alloy is the disordered phase -L10 pre-precipitation phase -L12 equilibrium phase -L12+DO22 equilibrium phase. Free energies of Llo pre-precipitation phase are higher and interatomic potentials are smaller than those of L12 equilibrium phase; therefore, it is concluded that Llo phase is unstable, and phase transformation would occur to L12 which is more stable; L12 phase precipitates earlier than DO22 phase because L12's interaction potentials are larger than DO22's. 展开更多
关键词 precipitation sequence pre-precipitation phase equilibrium phase interatomic potentials free energy phase field theory
原文传递
上一页 1 下一页 到第
使用帮助 返回顶部