# Posts by Category

## Vectorization tricks on cell array manipulation in MATLAB

Prologue As is known, MATLAB is notoriously slow in executing for loops. Looping through a large array is usually a nightmare, even more so if you add if/the...

## Notes on 130C: Stochastic Processes

This notes contains some of the notes I used in UC Irvine Math 130C course.

## Finally switched to Jekyll with Mathjax!

I finally decided to migrate various of my old writing in my faculty website at UC Irvine locally to Jekyll. Apparently it has a much more flexible and pleas...

## 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...

## 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...

## Some constructions related to Helmholtz decomposition

A general question is as follows:

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...

## Deriving the expression of the Lorentz force using the language of a mathematcian

This is a continuation of my previous “complaining” post on the language difference of mathematician vs physicists regarding the same thing.

## Random notes about physicists’ obsession with Einstein notations

I took a quantum physics class on Coursera this year and I found that the Mathematical language spoken by the two communities, math vs physics, are quite dif...

## Proof of the coercivity for Robin boundary problem

This is an exercise for finite element method most likely. Our question is:

## How to impose boundary condition for 2-dimensional curl-curl weak problem

First about the appropriate boundary condition we would like to impose: The cross product(scalar-$\mathrm{curl}$) in $\mathbb{R}^2$ is done by we embed a vec...

## An example on the limiting case of Sobolev embedding

Sobolev embedding When $p=n$