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:
http://shop.spreadshirt.com/scienceasylum/
________________________________
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

Видео Why Does Stuff Happen? Gradients! канала The Science Asylum