A synchronized dance of eigenvalues
September 26, 2017
Clicking on a picture should make it bigger.
The arrow of time in RIS
January 18, 2017
The traveling salesman and 10 lines of Python
October 25, 2016
A few weeks ago I got an email about a high performance computing course I had signed up for; the professor wanted all of the participants to send him the ``most complicated’’ 10 line Python program they could, in order to gauge the level of the classAnd to submit 10 blank lines if we didn’t know any Python! .
Setting up SublimeText
October 14, 2016
I’m setting up a new laptop and figured it was a good chance to document setting up SublimeText for LaTeX, as quasi follow up to my recent post about live LaTeXing. However, installing LaTeX can be hard, and configuring the SublimeText package LaTeXTools to work with LaTeX has the potential to be hard (often just works, but if not, can be confusing), and I won’t write about those parts, because they are better documented elsewhere. So this is simply the easy part (configuring SublimeText) to try to remove a barrier from those who might be looking to switch.
Live notetaking with LaTeX
September 24, 2016
A friend suggested I write a guide about live notetaking in LaTeX, since it’s pretty useful and something I have a fair amount of experience with. I had been making attempts at live-LaTeXing course notes for a year or two before I was able to make it through a semester long class; the first course I fully LaTeX’d was Vojkan Jaksic’s excellent Analysis 3 (introduction to metric spaces and topology)PDF available here. Not my best work, but it did the job. . Most recently, I wrote notes for Sergey Norin’s Combinatorics course which I submitted as a project for the classPDF available here. Probably my best work. .
Landauer's Principle and the balance equation
February 29, 2016
I’ve been working on my thesis over reading week, and I think I’ve finished my introduction to Landauer’s Principle. I ended up writing a pretty detailed derivation of the balance equation, and thus Landauer’s bound, so I thought it might be useful to post here.
Landauer's principle states that there is a minimal energetic cost for a state transformation on a system via the action of a thermal reservoir at temperature .
Cantor's Set and Cantor's Function
February 9, 2016
I’m giving tutorials for McGill’s honours analysis 2 course this semester, and I wrote some notes on Cantor’s Set and Cantor’s Function; I thought they might be helpful to others, so I’ll post them hereMcGill has its own MyCourses system where I put the notes for students in the class, but I think it’s better to be in the habit of posting work in a publicly-accessible place. .
I’ve given upfor now on actually converting my LaTeX to something web-native, so I’ll just put the pdf here.
January 1, 2016
Last semester, I helped a friend review McGill's Analyis 3 course by trying to provide a better feel for completeness; this post will be a slightly edited version of that. Originally, I wanted to write about both completeness and compactness, and their connections, but I ended up only getting to completeness, and actually not everything I wanted to talk about. So I'll call this Completeness I, leaving open the possibility for more of these in the future. Hopefully the style is casual and expository without being misleading.
December 13, 2015
I’ve made a new blog!
I started a “coffee blog” a month or so ago but only posted once (I think I’ll bring that post over here, too). I do like the idea though, and want to write about math and my research. So this should become a place for me to do that.