Why Does Stuff Happen? Gradients!

Gradients, a form of the del operator, are a way to measure change in field strength across one, two, or even three dimensional space. They come up all over physics: fluid dynamics, conservative forces, electrodynamics, cosmology. They're the reason that anything ever happens. ________________________________ VIDEO ANNOTATIONS/CARDS What the HECK is Energy? https://youtu.be/snj1wBtn6I8 Why Do Things REALLY Fall? https://youtu.be/5HKH1ZjGutA Lagrangian Mechanics: https://youtu.be/MIBfKJHMWHU ________________________________ RELATED YOUTUBE VIDEOS 3blue1brown on the Del Operator: https://youtu.be/rB83DpBJQsE Eugene on Gradients: https://youtu.be/GkB4vW16QHI Khan Academy on Gradients: https://youtu.be/_-02ze7tf08 ________________________________ SUPPORT THE SCIENCE ASYLUM Patreon: http://www.patreon.com/ScienceAsylum Advanced Theoretical Physics (eBook): https://gumroad.com/l/ubSc Merchandise: https://www.scienceasylum.com ________________________________ HUGE THANK YOU TO THESE PATRONS Warden of the Asylum: YDT Asylum Counselors: Matthew O'Connor Asylum Orderlies: Daniel Bahr, William Morton, LT MarshMan, TheBonertronicPeewormExtravaganza Einsteinium Crazies: Albert B. Cannon, Wacky, Ken Davis, Ilya Yashin, Eoin O'Sullivan Plutonium Crazies: JKLMN Anderson, Al Davis, Kevin MacLean Platinum Crazies: Stephen Blinn, Fletch, Felipe Cruz, Eugene Boone, Vittorio Monaco, Mikayla Eckel Cifrese ________________________________ OTHER SOURCES http://hyperphysics.phy-astr.gsu.edu/hbase/gradi.html http://hyperphysics.phy-astr.gsu.edu/hbase/vecal.html http://www.feynmanlectures.caltech.edu/II_02.html http://hyperphysics.phy-astr.gsu.edu/hbase/gpot.html http://hyperphysics.phy-astr.gsu.edu/hbase/pbuoy.html http://hyperphysics.phy-astr.gsu.edu/hbase/pbuoy5.html ________________________________ LINKS TO COMMENTS https://www.youtube.com/watch?v=cnGYMe6GBeQ&lc=Ugz0Lai5PaOhFONCbiN4AaABAg https://www.youtube.com/watch?v=cnGYMe6GBeQ&lc=UgxPgGs5RyBGOORTgJJ4AaABAg https://www.youtube.com/watch?v=cnGYMe6GBeQ&lc=UgwB-3yBGoUbE0s044N4AaABAg https://www.youtube.com/watch?v=cnGYMe6GBeQ&lc=Ugy54aelARs82nAHjqh4AaABAg ________________________________ IMAGE CREDITS NASA Big Bang 5k: https://svs.gsfc.nasa.gov/12656 Weather Map: https://radar.weather.gov/Conus/full_loop.php