【金-元】元好问

绿叶阴浓,遍池亭水阁,偏趁凉多。海榴初绽,朵朵簇红罗。乳燕雏莺弄语,有高柳鸣蝉相和。骤雨过,似琼珠乱撒,打遍新荷。

人生百年有几,念良辰美景,休放虚过。穷通前定,何用苦张罗。命友邀宾玩赏,对芳樽浅酌低歌。且酩酊,任他两轮日月,来往如梭。

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【金-元】元好问

重冈已隔红尘断,村落更年丰。移居要就,窗中远岫,舍后长松。 十年种木,一年种谷,都付儿童。老夫惟有,醒来明月,醉后清风。

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This note unpacks how tiny changes transform across coordinates using the Jacobian matrix--from displacement to area to volume, in Cartesian, cylindrical, and spherical systems.

Sources:

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

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

  • VICReg 2022 paper
  • VC Reg, a follow-up paper of VICReg
VCReg which is quite similar to VICeg

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

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

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