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The old me is the young me if you think about it.
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Articles
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Solving linear homogeneous ODE with constant coefficients
By using power series, we can prove that the problem of solving linear homogeneous ODE with constant coefficients can be reduced to the problem of solving a polynomial with those coefficients. This article illustrates this point in detail, but it uses a very awful notation…
- Categories: math
- Tags: calculus, linear algebra, combinatorics, ode, long paper, from zhihu
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Thoughts on a middle school thermal physics problem
To heat an object with hot water, if we divide the water into more parts and use each part to heat the object one after another, the final temperature will be higher. If the number of parts tends to infinity, then the final temperature will tend to the limit , where is the initial temperature of the object, is the temperature of the hot water, is the heat capacity of the object, and is the heat capacity of the hot water.
- Categories: physics
- Tags: calculus, number sequence, from zhihu
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I created a community rhythm game called Dododo
I have created a community rhythm game called Dododo. It is a rhythm game with musical rhythm notations.
- Categories: update
- Tags: update, rhythm game, web
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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.
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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.
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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).
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Drawing a heart using Joukowsky transformation
Joukowsky transformation of a circle centered at of radius is a curve resembling a heart.
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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.
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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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