Archive of posts in 2020

• New website for MOIS Project (club)

I have built a website for our club called MOIS Project. It is a club related to music and band.

• My activities in 2020 JDFZ Summer Session

JDFZ is hosting a summer session, where lectures covering a wide range of topics are held. Come and see what are my activities during this event.

• New website for Little Turings (club)

I, the president and one of the founders of Little Turings, created a website to distribute information about it. The website is bilingual (Chinese and English).

• Drawing a heart using Joukowsky transformation

Joukowsky transformation of a circle centered at $\left(1,1\right)$ of radius $1$ is a curve resembling a heart.

• Generalization of Euler–Lagrange equation

We may generalize Euler–Lagrange equation to higher dimensional optimization problems: find a function defined inside a region to extremize a functional defined as an integral over that region, with the constraint that the value of the function is fixed on the boundary of the region.

• View of the world (physically rather than philosophically)

The view of the world… Physically! In this article, I tried to use mathematical language to describe models of the physical world. A view of the world should include: a space (actually spacetime) with some mathematical structure on it (whose points are events in the world), a symmetry principle describing the symmetry of the world, and a motion law to describe the physics and dynamics of the world. This article proposed models for Galilean, Einsteinian, and even Aristotelian worlds. Can you come up with even other worlds?

• Simulating a mechanical system using rpg_core.js

Continuing my last work of simulating a mechanical system using RGSS3, I made a new version using rpg_core.js, the game scripting system shipped with RPG Maker MV. This version is live on web!

• Simulating a mechanical system using RGSS3

Hamiltonian mechanics gives us a good way to simulate mechanical systems as long as we can get its Hamiltonian and its initial conditions. I implemented this simulation in RGSS3, the game scripting system shipped with RPG Maker VX Ace.

• Writing a DSL with commands split by space

DSL means domain-specific language. Ruby is a powerful script language in terms of building DSLs (as sublanguages of Ruby). In this article, I implemented my idea of a DSL with commands split by space. For example, you may just write a b c to run the commands a, b, and c one after another! This trick is heavily applied in my project alda-rb. How do I achieve this?

• Running Jekyll myself

I have got tired of letting GitHub Pages to run Jekyll for me. I cannot use custom plugins! I decide to run Jekyll myself and push the built result to GitHub repo. I wrote a script to do this.