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