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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? • What the HECK is Energy? Why Do Things REALLY Fall? • Why Do Things REALLY Fall? (with General R... Lagrangian Mechanics: • Lagrangian Mechanics: How powerful is it? ________________________________ RELATED YOUTUBE VIDEOS 3blue1brown on the Del Operator: • Divergence and curl: The language of Maxw... Eugene on Gradients: • Gradients and Partial Derivatives Khan Academy on Gradients: • Gradient and graphs ________________________________ SUPPORT THE SCIENCE ASYLUM Patreon: / 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/... http://hyperphysics.phy-astr.gsu.edu/... http://www.feynmanlectures.caltech.ed... http://hyperphysics.phy-astr.gsu.edu/... http://hyperphysics.phy-astr.gsu.edu/... http://hyperphysics.phy-astr.gsu.edu/... ________________________________ LINKS TO COMMENTS • When Conservation of Energy FAILS! (Noethe... • When Conservation of Energy FAILS! (Noethe... • When Conservation of Energy FAILS! (Noethe... • When Conservation of Energy FAILS! (Noethe... ________________________________ IMAGE CREDITS NASA Big Bang 5k: https://svs.gsfc.nasa.gov/12656 Weather Map: https://radar.weather.gov/Conus/full_...