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Apparently disliking being "nerdy" is not a thing in US colleges? It's a relief!
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Articles
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The role of particle indistinguishability in statistical mechanics
Indistinguishability plays an important role in enumerative problems in combinatorics. This article explains the concept and significance of particle indistinguishability in statistical mechanics. -
Why it is a bad idea to use GitHub for submiting school homework
It is common for school courses to require students to submit their homework using GitHub. However, this is usually a bad idea for several reasons, potentially including TOS violation, community degradation, and reliability. -
How to use JavaScript in GitHub Actions without committing
node_modules
I was creating my first GitHub Action. According to the official documentation, I should commit the node_modulesto the repo or generate a script that bundles the wholenode_modulesif I want to create a JavaScript action. I think this is not good practice, so I try to find another way: manually managing the caches for the dependencies innode_modules. -
Some understanding of Grassmann numbers out of intuition
I was briefly introduced to Grassmann numbers when I studied quantum field theory. I then had the natural question of how we can formally define them. In this article, I went with my intuition and tried to answer this question. -
The notational convenience of imaginary time in the derivation of the metric in Poincaré coordinates
In general relativity, people usually choose one of the two major metric signatures. However, in certain cases, the imaginary time convention can be more convenient. Here is one of such cases: the derivation of the metric in Poincaré coordinates for the anti-de Sitter space. -
The smallest wave packet in the lowest Landau level
The smallest wave packet in the lowest Landau level exists, and is a Gaussian wave packet. This turns out to be related to the coherent state of the harmonic oscillator. -
Regularizing the partition function of a hydrogen atom
The partition function of a hydrogen atom diverges (only considering bound states). However, we can regularize it to get finite answers. Different regularizations give the same result. They largely agree with the physical arguments for the case of the hydrogen atom at room or cold temperature, but this should be considered a mere coincidence. The results from regularized partition functions cannot generally be trusted. -
Letting people know when you are asleep
While I am asleep, the sleeping state is indicated on my Discord and GitHub user status. I achieve this by using MacroDroid. -
Using nmcli to connect to eduroam in UCSB
Use nmcli to connect to eduroam in UCSB without using the configuration assistant tool provided by eduroam. -
The duality between two plane trajectories related by a conformal map
The conformal map transforms the trajectory with energy in potential into the trajectory with energy in potential . I will prove this beautiful result and show some implications of it.
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