因为了解到有限域,想进一步了解质数,简单做一个笔记,方便日后深入了解。
Math
math
代数方法求PageRank
本文结合实例介绍如何用代数方法求PageRank。
Calculate a minimum spanning tree with Python
This article presents how to calculate a minimum spanning tree with the Python package, NetworkX.
Calculate a maximal independent set with Python
This article presents how to calculate a maximal independent set with the Python package, NetworkX.
Simple regression analysis using Python
This article introduces simple regression analysis illustrated with a simple example and shows how to calculate it using Python.
Calculate connected dominating sets (CDS)
It is believed that the minimum connected dominating set problem cannot be solved in polynomial time. To the best of my knowledge, there is no source code available for approximation algorithms. Therefore, I decide to implement one proposed by M. Rai in 2009.
Calculate minimum dominating sets
This blog takes notes of dominating sets and shows how to calculate its value with the Python package, NetworkX.
直观理解虚数i
再次读了《Math, Better Explained: Learn to Unlock Your Math Intuition》虚数部分,这次做点笔记。
直观数学:数学常数e
本文试图直观理解数学常数e,包括4种e常见定义的直观解释,自然对数,指数。 Read more
泊松分布和幂律分布对应于均匀网络和非均匀网络
前天看一篇关于社交网络的论文,讨论到均匀和非均匀网络,进一步了解到其背后的理论基础是数学的泊松分布和幂律分布。碰巧了解到幂律分布也是长尾理论的数学基础,而长尾理论不仅对帕雷托法则(Pareto principle)进行补充,而且很好诠释了web 2.0时代的商业模式,简单是太美了。本文首先介绍帕雷托法则和长尾理论,接着讨论其背后的数学基础:泊松分布、幂律分布,最后,介绍该数学基础引申出来的均匀与非均匀网络。