Divergence intuition, part 1

Показать описание

Vector fields can be thought of as representing fluid flow, and divergence is all about studying the change in fluid density during that flow.

Khan Academy

Рекомендации по теме

Комментарии

3Blue1Brown + Khan Academy = Every student's dream. In other words, a deadly combination

mranonymous_

This series is amazing. I can't even imagine learning calculus without computer graphs, animations etc. What a time to be alive!

poleomentaa

I love how he teaches things visually first! It makes the math so much more interesting.

lynns

Masterpiece of math explanation. Mr. Grant + Khan Academy = MAGIC

AbhishekSachans

his animation is so satisfying to watch

danielc

Great video. Thank you for your life-long service. God bless you sir.

beebee_

This is great, congrats! One point is that the sink (4:37) cannot be related to a magnetic field... I guess you realize that just when talking about it...

joseantoniogarciaorza

The animation is right to visualize divergence

madanjadhav

I watched this so I can understand the logic behind some attack techniques in anime.

darkcatapulter

One of my major problems with this subject is trying to understand why the divergence of a magnetic field is zero. If I have a bar magnet, the magnetic field emanates from the north pole, and terminates on the south pole. Why then, is the north pole not considered to be a source of the magnetic field and the south pole a sink? Clearly, magnetic field lines are diverging away from the North Pole and converging on the South Pole. If the north pole of the magnate was enclosed in a gaussian surface, but the South Pole remained outside the surface, surely there would be a net flux of magnetic field across the surface wouldn't there?

davehumphreys

whoa source and sink flow. aero makes sense now atleast a little

SamandRie

Khan if you werent here there would be no maths for me.

arjunkc

just one Dislike.. might be a wrong click... that tells the worth ... thank you.

mathsci

Are you the same guy from 3blue1brown?

arnabsinha

this is inaccurate though. Divergence is the rate of CHANGE of the vector field along its respective directions, not just the vector field itself. A field could be pointing inwards and still have positive divergence if it the vectors get longer as they approach the origin. Whereas water would clearly increase in density inside that region. So this example makes no sense.

praneelmadhuvanesh

Divergence intuition, part 1

Divergence intuition, part 1

Divergence and curl: The language of Maxwell's equations, fluid flow, and more

Divergence intuition, part 2

Divergence formula, part 1

The Divergence Theorem // Geometric Intuition & Statement // Vector Calculus

Divergence intuition, part 1

Intuitively Understanding the KL Divergence

Gauss Divergence Theorem. Get the DEEPEST Intuition.

2d curl intuition

3D divergence theorem intuition | Divergence theorem | Multivariable Calculus | Khan Academy

3d curl intuition, part 1

Upenn Math 114 Explanation of Vector Field Divergence Intuition

Intuition on the Divergence Theorem (Part 1)

What Does the Gradient Vector Mean Intuitively?

Intuition behind the Divergence Theorem (why it's true)

Laplacian intuition

Math Multivariable calculus - Divergence intuition, part 1

Intuition on the formula for Divergence (2-D)

Div, Grad, and Curl: Vector Calculus Building Blocks for PDEs [Divergence, Gradient, and Curl]

Divergence and Curl

KL Divergence - Intuition and Math Clearly Explained

On the Divergence theorem and its (intuitive) proof

The Divergence of a Vector Field: Sources and Sinks

Divergence Intuition