陆昱宽

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.

【北宋】 晏几道

彩袖殷勤捧玉钟，当年拚却醉颜红。舞低杨柳楼心月，歌尽桃花扇底风。

从别后，忆相逢，几回魂梦与君同。今宵剩把银釭照，犹恐相逢是梦中。

【北宋】 晏几道

西楼月下当时见，泪粉偷匀。歌罢还颦，恨隔炉烟看未真。

别来楼外垂杨缕，几换青春。倦客红尘，长记楼中粉泪人。

Sources:

1. Jeseph K. Blitzstein & Jessica Hwang. (2019). Conditional propability. Introduction to Probability (2nd ed., pp. 369-375). CRC Press.