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Nice, another #Wacom pen broke... It is simply unbelievable how unreliable those things are, and I do not understand why they are designed to be so hard to disassemble.
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Articles
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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
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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, fourier transform
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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.
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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 cto run the commandsa,b, andcone after another! This trick is heavily applied in my project alda-rb. How do I achieve this?- Categories: programming
- Tags: ruby, meta programming
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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
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Algebraic structure of chemicals
Regarding balancing chemical equations, actually we are trying to find a non-trivial linear combination of some chemicals to get zero. The interesting thing is that the coefficients can only be integers (), which is not a field, so the algebraic structure of chemicals is not linear space. They actually live in a free -module. See how I formalize this idea in mathematical language.
- Categories: chemistry
- Tags: linear algebra, abstract algebra
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The concentration change of gas in reversible reactions
A reversible elementary reaction takes place inside a closed, highly thermally conductive container of constant volume, whose reactants are all gases. Given the reaction equations and the reaction rate constants, a natural question to ask is how the concentration of each gas changes w.r.t. time. In this article, I will answer this question by proposing a general approach to solve it.
- Categories: chemistry
- Tags: calculus, ode, chemical reaction, long paper
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Snippet: O, ’tis too true!
O, ’tis too true!
- Categories: literature
- Tags: snippet, chinese
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The structure of a basic RM game
In this article, I present minimal examples of a RM game. They only illustrate the basic concepts of how a RM game is structured and what is the running logic of it.
- Categories: programming
- Tags: ruby, javascript, rgss
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The frequency assignment of musical notes
This article explores the concept which I call the frequency assignment, which is a mapping from (the set of notes) to (the set of frequencies). Concepts such as octaves, intervals, and equal temperaments are introduced.
- Categories: music
- Tags: music theory, number sequence, long paper, abstract algebra
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