Continuity of the function $f: \mathbb R \to \mathbb R$ asks if a small change in the input value creates a small change in the output. Equivalently, a continuous function must take two neighbors (points that are close in distance) of the input space to neighbors in the output space. If neighbors are taken to wildly distant points by the function, this would be a discontinuity.
In less than ten days, I depart Korea for the quirky rural campus of Hampshire College. An “intense encounter with college-level mathematics” is said to be hosted among fantastic peers, great faculty, hiking, frisbee, and yellow pigs (the mascot of the program). HCSSiM – or simply Hampshire, as the alumni call it – is one of the oldest and most renowned summer math programs in the United States.
This brief essay attempts to prove various theorems on convergence of series. The following theorems, better known as convergence tests, are presented in the AP Calculus BC curriculum.
I recently encountered Chinua Achebe’s short story, Civil Peace, which describes post-conflict dynamics following the Nigerian Civil War and how various human beings respond to gain, loss, and sacrifice during painful times. I found the story very impactful, and decided to explore Achebe’s other literary works. Captivated by his restrained tone with powerful delivery, I ended up finishing his magnum opus Things Fall Apart. Here’s what I took away.
Tmux, being true to its name, is a terminal multiplexer. This means that it lets the user operate multiple terminals as long-running servers (i.e. closing the terminal emulator will not shut down the terminal – it stays right where it was across app restarts). When I first picked it up, tmux was almost too good to be true. Just a week ago, I decided to quit.
I participated in the annual Messier marathon event, from March 21st to March 22nd. The Messier marathon is a stargazing challenge to hunt down all 110 celestial objects in the Messier catalogue in a night. In Korea, a dozen stargazers gather each year in the rural area of Hoengseong county, staying up through the night. I knew of the event some time ago, but it was my first time participating.
Thousands of tech community posts proclaim “what’s all the Chromium hate about, when it’s open source, fast, and industry-standard?” It is a fair question with a valid point, one that even die-hard Firefox users find hard to attack.
From February 13-17th, I attended the 2026 Harvard-MIT Mathematics Tournament (HMMT). I was part of the Korean team organized by KGSEA, and had a great experience during the five days on MIT campus.
Weatherford’s 2004 book Genghis Khan and the Making of the Modern World lays out the history of the Mongol Empire and its legacy states. The book remains an acclaimed steady-seller two decades after its writing, a feat especially difficult for a history book.
I want to introduce an interesting problem that gives rise to an important idea in mathematics. It is, actually, a common problem in middle school physics and mathematics.
uv, the next-generation python package manager. I first tried it out a few days ago, mostly out of frustration regarding pip. I made the mistake (or rather, my brew dependency made the mistake) of downloading homebrew python, and pip refused to update packages due to an external installation.
I discovered the world of measure theory and the Lebesgue (pronounced la-BEG) integral, when I was told that some functions cannot be integrated with Riemann sums. A more general integral, which has Riemann integrals as its subset, goes down an incredibly deep rabbit hole in the study of the reals.
On December 6th I visited Geumsan-gun, the southern tip of Chungcheong province. Staying at my grandmother’s place, I planned an ambitious stargazing session, expecting crystal clear weather from the forecast.
The area of an ellipse is given by $\pi a b$, where a and b are half-width and half-height – straightforward enough. But what about the arc length of an ellipse? Faced with a problem infinitely more complex than that of a circle, here mathematicians’ problems begin.
MicroGNUEmacs (or mg) has recently replaced Emacs as my primary code editor. The actively maintained editor is a haven for editor minimalists.
Professor Susskind’s legendary Stanford lectures on serious introductory physics are being compiled and published into books one by one.
Last week I started my journey with the Wolfram Language… for free!
One of Korea’s oldest, largest, and most prestigious marathons is held in Chuncheon, Gangwon Province. This year I returned since last participating in 2019.
I made this simple pacman clone nearly three years ago, when I was still a novice python programmer.
Last Saturday, in the midst of autumn’s subtle takeover, I visited Yesan County for Korea’s National Calligraphy Competition.
Hi all, I am a student living in South Korea. These are a collection of my writings in math, science, technology, and great experiences.
If you want to reach out, feel free to write to aiden.bj.ghim@gmail.com.
Best,
