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 of radius 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?
- Categories: physics
- Tags: imagination, long paper
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!
- Categories: physics
- Tags: javascript, rgss, hamiltonian, calculus, ode, 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 commandsa
,b
, andc
one after another! This trick is heavily applied in my project alda-rb. How do I achieve this?- Categories: programming
- Tags: ruby, meta programming
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.
- Categories: programming
- Tags: jekyll