Ambiguity With Partial ∂ Notation, and How to Resolve It

The notation for partial derivatives have an inherent ambiguity. In this video, we aim to propose two resolutions to tackle this ambiguity and explore the advantages and drawbacks of each approach.

Chapters:
00:00 Intro
02:54 Solutions
05:04 Applications
08:01 Outro

How mathematicians and physicists use ∂ differently: https://youtu.be/QFHSHhpbo00

Music🎵:
Pocket's Lookin' Light - Gareth Coker · Riot Forge https://youtu.be/kifzZ0Txkfs
No.3 Morning Folk Song - Esther Abrami https://youtu.be/EErgdu1SWM8?si=91iK46U7gkS4eeWB
Midnight Tale - Kevin MacLeod https://youtu.be/VNctLX9oOJc?si=voCYkQy-dhLa5-N5
Confusion in my mind - BGM President https://youtu.be/wKpsOt1D5eU?si=8jCeaoghXRQAUOpM

Corrections:
06:01 not a diagram for water, water expands as it freezes
07:44 The arrow should point towards the vertex representing 100% silver