Notes on the history of trace theorems on a Lipschitz domain
Some detective work on the trace lemmata (and the converse one) for the Sobolev spaces.
Recent Posts
MATLAB finally updated its array compatibility to match Python
Matlab finally embraces (partially) the way matrix manipulation should be Starting in MATLAB R2016b with the addition of implicit expansion, some combinatio...
Kaggle比赛记：地震预测
本文前半部分是介绍Kaggle的机器学习比赛，后半则是记录今年3月到6月带领几位University of California, Irvine数学系本科生参加由美国洛斯阿拉莫斯国家实验室在Kaggle上组织的地震预测比赛。
Winter 2019 Math 10 Final Project Kaggle in-class Competition
In the course project, groups of three students will work together to create regression/classifiers for an in-class Kaggle prediction competition. The compet...
Getting ready for Math 10: intro to ML
I created an introductory machine learning class for math undergrad who has no previous exposure to programming back in Winter 2019 quarter. This post will t...
如何在LaTeX中使用TikZ绘图的简明教程
这个简明教程主要是教大家使用强大的LaTeX宏包TikZ来绘制工作生活中需要的一些示意图。
Some constructions related to Helmholtz decomposition
Using Poincare lemma to construct vector field explicitly for Helmholtz decomposition.
Some interesting links
Since Google+ is finally to be shut down by Google as of Feb 1, 2019, aside from migrating G+’s social bookmarking functionality to Medium.com and Pocket app...
Equivalence between Sobolev norm and Sobolev-Slobodeckij norm for integer-order spaces
This short post explores the equivalence between Sobolev norm and Sobolev-Slobodeckij norm for $W^{s,p}(\Omega)$ when $s$ is an integer.