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== Core Thought I will oppose the religion of majority in a religious way, having my own rituals and solid faith, building my own religion of math, becoming unassailable. == What can I see from math? === What’s happening Described mathematically, assume our knowledge system is a complex graph. Then, the problem with normal courses is that they always introduce new things, namely, a new structure of nodes that’s isolated from our main branch, and a lack of connection between these...

I always imagine that, if I realize this tool, then I can make advances in that field, and if I realize another tool, I can stand out in certain activities that might leverage that tool, and so on. However, experiments prove that the energy I finally released is noise-like, because I never completed a project. “infinite ladder of enabling tools” Each tool idea feels like it could unlock progress elsewhere, so you end up chasing enablers instead of climbing one branch. How should I...

This post is mainly about the Raman Scattering and some thought about it. Basic Principle When a Light Wave meets a Molecule, it will change the polarization state of the molecule periodically. The frequency of the modulation is the same as the frequency of the light wave. But as the molecule vibrates or rotates, the Polarizability of the molecule changes as well. The total electric dipole moment is P⃗(t)=α(t)⋅E⃗(t)\vec{P}(t) = \alpha(t) \cdot...

target/debug/: This directory contains the artifacts from a development build. These builds are created by running cargo build or cargo run. They are optimized for faster compilation times and include debugging information, which makes them larger and slower to run. This is the default mode you use during development. This can be removed without affecting the runtime execution of your project release. target/release/: This directory holds the artifacts from a production build. You create...

The development of science and technology make the cost of mastering certain skills higher. However, the appearance of Artificial Intelligence (AI) has made it easier for people to learn new skills. Maybe we can imagine that in the future, the self-constructing cost will be lower and lower, and finally less than the help-seeking cost. Once the computing power makes a leap, the AI will be popularized and personalized. The mobile phones are platforms of construction. You input a prompt,...

Today is positive, I figured out the real meaning of studying. The talking and thinking are the following: 12345678910111213141516171819The difference you describe is that between learning-by-recipe and learning-by-purpose.Learning-by-RecipeThis is the traditional, and often flawed, way that many educational systems operate. It focuses on the "what" and the "how," but not the "why." You are given a problem and a predetermined method to solve it. For example, "Here is a quadratic equation;...

Today birthed a fresh and promising idea. Given the pain about the cursery look of the university courses, I’m planning to develop a tool application that helps people with their personal in-depth thinking, and even finally organize an enthusiastic and sincere community who devote themselves to think deeper than the superficial, mechanical and formalistic contexts. Here we will not ask What is the solution for a single problem, but ask for Why certain methods work while others do not. The...

Recently, I’m learning about Information Geometry, during which I realized that it’s a good idea to use Blender’s Python API to encapsulate a toolset for efficient and elegant visualization of functions and data. I started from the sign mark – coordinate system. I encapsulated the functionality to a CoordinateSystem...

Today is when I found something profound for my life and my worldview. I found an technique with a long history called “Kintsugi”, originating from China, and evolved into a Japanese art of repairing broken pottery by using gold or silver lacquer to restore the cracks and imperfections. Kintsugi is the practice of repairing broken pottery with lacquer dusted with powdered gold. It brings the broken pottery back to life, turning the cracks into a symbol of strength and beauty, even better...

Recently I’m thinking about many things, about life, work, the mission, the future and so on. When I learned something, I saw the word Intrinsic in a trance, which inspired me about what I should do next. I’m familiar with the Intrinsic concept, at least in the context of physics and mathematics. It’s a fundamental property of a system that is independent of its surroundings. So what it means to me is that, I think I should focus on what’s the intrinsic value of not only my work, but also my...