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.
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VIDEO ANNOTATIONS/CARDS

What the HECK is Energy?

Why Do Things REALLY Fall?

Lagrangian Mechanics:
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RELATED YOUTUBE VIDEOS

3blue1brown on the Del Operator:

Eugene on Gradients:

Khan Academy on Gradients:
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LINKS TO COMMENTS

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IMAGE CREDITS

NASA Big Bang 5k:

Weather Map:

[ulrichsrensen]

This episode was made possible by generous supporters on patreon.. and gradients 😁

[semichiganandy]

How to I feel about the gradient? I have my ups and downs about it.

[gutspraygore]

"and it's why a portal between Denver and New York would be a very bad idea."


**very quietly stopping that project now...**

[Parcian-]

As a meteorologist, i can confirm that gradients are VERY important

[arxelaos]

Actually in greece we call nabla "ανάδελτα" which literally means upside delta.

[tmd]

I've just started my multi-variable calc class, that symbol looks oddly familiar, thanks for making the grandient *a lot* more intuitive

[elizabethaugustin]

"Behind everything that has ever happened, is happening or ever will happen, there is a gradient " -- best quote

[canis]

That was the most endearing "I missed you." almost sympathetic for the little guy.

[ascohn]

When nerd clone said he missed you, I screamed

[doughorner]

Life is nothing but an electron looking for a place to rest.—Nobel Prize-winning physiologist Albert Szent-Györgyi

[r.m.renfield]

The explanation at the start with the hill and the gradients was such a great way to explain the concept, very intuitive. I love the way you're making the idea of fields much more common place with these diagrams. It sounds ridiculous in a way but "a number assigned to each point in space" automatically becomes more concrete as an idea when you have grids or shapes with those numbers displayed on them. Great work.

[dactylntrochee]

Called out at 5:18. My self-congratulation system was just about to laud me for this very thought regarding gravity when Nick caught me drifting and, with a solid "yeah, yeah...not the point for now." he grabbed my attention back into focus. A master indeed.

[pipertripp]

Gradients are cool. When we got to that in in calc 3, it seemed like the first truly cool topic in calculus. I was wrong, of course, there are loads of really cool topics in earlier courses, but for some reason the gradient really struck me. I was a geology major and I think it's because the gradient was something that seemed immediately applicable to me (if I had taken physics with calculus, this would have all been different).

[biblical-events]

I click like, Then watch video

Yep the channel is that

[twankeijzers]

Everyone I know: hill


Me: Elevation field

[klausedwin]

Remind me why you came back from vacation? I missed you. 😆

[williammorton]

I accept the gradient. Have to. I'm going down hill. Each morning my body reminds me of that fact.

[RoguishlyHandsome]

_The End of All Gradients_ In a theater near you, next Fall, starring a bunch of clones.

[areknowak]

As always great video! The magic is that even if I am perfectly familiar with the topic, your video still gives me some additional insight and improves my understanding (and it's enjoyable too :) ). Thanks for good work and wish you all the good gradients!

[constpegasus]

Your ability to break down these topics are incredible. Thank you Sir.