w**d
发帖数: 2334 | 1 Is there such rule for tetrahedra?
You can check Ronald Cools' homepage for cubature.
He has the most complete reference on quadratures and cubatures, I think. |
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p**a
发帖数: 151 | 2 Science, 2007, 316, 732-735.
Synthesis of Tetrahexahedral Platinum Nanocrystals with High-Index Facets
and High Electro-Oxidation Activity
Na Tian,1 Zhi-You Zhou,1 Shi-Gang Sun,1* Yong Ding,2 Zhong Lin Wang2*
The shapes of noble metal nanocrystals (NCs) are usually defined by
polyhedra that are enclosed by {111} and {100} facets, such as cubes,
tetrahedra, and octahedra. Platinum NCs of unusual tetrahexahedral (THH)
shape were prepared at high yield by an electrochemical treatment of Pt
nanosphe |
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s**i
发帖数: 381 | 3 Is there any good reference on how to implement this?
I know Gaussian quadrature is much better for my particular case,I want to
use a Brute force trapzoidal rule.
Thanks. |
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s**i
发帖数: 381 | 4 Thanks. I checked his CUBPACK but it is only for 2D |
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M****o
发帖数: 4860 | 5 这就是个论文奖吧，还不是学术论文，是“expository paper”，跟数学成就没什么关
系。而且就是过去五年之内的文章，所以跟历史上谁得过也没什么太大关系。
“for outstanding expository papers published in the Bulletin of the AMS or
the Notices of the AMS in the past five years.”
比如，06年得奖的是这篇：
2006: Ronald Solomon for A Brief History of the Classification of the Finite
Simple Groups. Bulletin of the AMS, Vol. 38, 2001, No. 3, pg. 315–352.
也就是说，写数学史都可以得奖的。
宗得奖的是这篇：
They are honored for their article "Mysteries in Packing Regular Tetrahedra"
(Notices of the AMS, December ... 阅读全帖 |
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d******s
发帖数: 180 | 6 能在BAMS或者NAMS上发表这种expository paper的，本身都是各领域的领军人物，学术
成就得到大家认可。当然英文能力和exposition的技巧也很重要，东亚人在这方面往往
非常欠缺。宗作为一个母语非英语的中国人能写出这种水平的综述论文让人非常佩服。
(他这篇是跟美国人合作，不过他自己单独在BAMS上也发过两篇，在NAMS上发过一篇。)
Ronald Solomon写的那不能叫数学史，而是对有限单群分类定理证明的介绍，里面充斥
着技术干货。Solomon本人就是世界上懂这个定理证明的三四个人之一。Bryna Kra也在
ICM上作过45分钟报告。现在资讯这么发达，Conant Prize是什么份量大家都查得到，
没那么容易回国糊弄人。宗要选院士，自有杰青、陈省身数学奖、自然科学二等奖这些
国内更认可的奖给他撑腰，Conant Prize就是个锦上添花的作用。
or
Finite
Tetrahedra" |
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f**********r
发帖数: 61 | 7 Gaussian smearing is important for metal. First, when one calculates total
energy for metal, some band states (n,k) near the Fermi energy is partially
occupied and taken accounted due to fluctuation. So you will see an entropy
term for the calculation of total energy for metal. The smearing constant
determines the occupancy of a band state. Second, smearing constant is used
to calculate the density of states at Fermi level although the tetrahedra
method is more accurate than the smearing method. |
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