These days, it is almost too easy to get up and running with your very own blog. Given the way certain social media sites (i.e. Twitter) have been functioning lately, this is a good thing. A blog in 2023 is still the best way to get your thoughts out there, while retaining control over the curation and presentation of the content. Read more...

On Canada Day, Place des Festivals Zibi in Gatineau was host to a series of BMX shows by Krusher BMX. I couldn’t get enough of it! Luckily they had a few shows throughout the afternoon so I was able to enjoy the action while getting my fill of photos. There are more like the one shown above on my flickr page…

Title: How to Succeed in College Mathematics, by Richard M. Dahlke, PhD. ISBN: 978-0-615-16803-6 An excellent guidebook of interest to anyone studying mathematics at the post-secondary level. Written by Professor Richard M. Dahlke, a U.S.-based professor of mathematics, How to Succeed in College Mathematics gives useful advice on topics such as improving academic performance, keeping a healthy attitude towards studying, and how to improve problem-solving skills. Read more...

An integral equation is one that contains an unknown function under the integral sign. When that integral is over an interval varying with \(x\), it is more specifically classified as a Volterra integral equation. I came across this interesting, relatively simple Volterra equation in Stewart's Calculus and thought it would be interesting to try out. Read more...

Proposition: A matrix with a row consisting of all zeroes cannot be inverted, nor can one with a column of all zeroes. Proof Let A denote some \(n\times n\) matrix where one of its rows has only zeroes — let us refer to this as row r. Then take another \(n \times n\) matrix B and suppose toward contradiction that \(B = A^{-1}\). Read more...

Universal Wave Equation Example According to r/EngineeringStudents, the speed of sound in mayonnaise is 2613 \(\textrm{ms}^{-1}\). According to Scientific American, a soprano's frequency range could be between 250 and 1500 Hz, so let's see what the wavelength of a 1200 Hz soprano tone would be as it passes through mayonnaise. Read more...

The displacement formula is a kinematic equation used in physics. I created this graphic using TikZ, a package that goes with the document preparation system LaTeX to enable programmatic vector graphic creation. $$\Delta d = v_1 t + \frac{1}{2}at^2.$$ The annotated code is available in my GitLab repository.

LaTeX is a software system used most commonly in the typesetting of scientific and mathematical documents. More precisely, LaTeX is a macro package built on top of the TeX system created by computer scientist Donald Knuth in the 1970s. LaTeX allows users to create documents in plain text, achieving semi-custom formatting effects with special commands. Read more...

Vorta is a client program for MacOS and Linux computers that provides a graphical user interface (GUI) for Borg, a powerful backup tool that is normally used in command-line. Borg is a deduplicating backup program, which means once you initialize a repository somewhere (like on an external hard drive) and take your first backup, it will only copy files that have changed since the previous backup. Read more...

One of the most fascinating topics I have learned about recently in my computer technologies course are operating systems. It really took this course to make me think about things I would have taken for granted before. One example is, I wondered: wait, how does a computer even restart itself? Read more...