Lu, Yukuan

Sources:

• GAIA-1 paper
• WorldDreamer paper

This post records the roadmap and resources for my physics learning, with the goal of understanding the conceptual structure of modern physics as a non-physicist.

For the mathematical background used in physics, please refer to my math learning roadmap.

This post records the roadmap and resources for my mathematics learning.

This note explains how infinitesimal changes transform under coordinate maps via the Jacobian matrix—from differential displacement to differential area and volume—in Cartesian, cylindrical, and spherical coordinates.

Note: Everything here is 3D and the cross product is used. In general dimensions, area/volume elements are best expressed using differential forms (wedge products); the 3D vector formulas here are a special case.

Sources:

1. Fawwaz Ulaby. (2020). Chapter 3: Vector Analysis. Fundamentals of applied electromagnetics (8rd ed., pp. 130–163). Pearson.

This post records various GPU-related issues I encountered, along with their diagnoses and resolutions.

Sources:

• Fawwaz T. Ulaby & Umberto Ravaioli. (2020). Chapter 1. Introduction: Waves and Phasors. Fundamentals of Applied Electromagnetics (8th ed., pp. 22-30). Pearson.

This post records the roadmap and resources for my Electrical Engineering learning.

Sources:

• VICReg 2022 paper
• VC Reg, a follow-up paper of VICReg

Image source: https://arxiv.org/pdf/2306.13292

# TODO: This note is flawed and I'll rewrite it in future.

【清】袁枚

莫唱当年长恨歌，人间亦自有银河。

石壕村里夫妻别，泪比长生殿上多。

Sources:

1. Norman S. Nise. (2014). Chapter 1. Introduction. Control Systems Engineering (7th ed., pp. 1-21). WILEY.