Holy crap, before these videos, curl, divergence, and the dot product were just abstract ideas thrown at me in class. I just had to memorize the formulas. Now, they all make perfect sense to me! I couldn't ask for more.
Excellent choice of example. I studied the curl in college failed to gain much intuition for it. The right hand rule always seemed kind of ad hoc to me.
@hump3081 in one of his later videos he drags the app far enough into the window that i could see the programs name. its called javaview. google magic! :D
In Maxwell's equations of electromagnetism we find ∇x(∇xE)= -∇^2 E + the permittivity of free space times the permeability of free space times ∂^2 E/∂t^2= -(∂^2E/∂x^2 + ∂^2E/∂y^2 + ∂^2E/∂z^2) This is a wave equation in the electric field in free space, it tells you that you must be able to create electric fields which move with speed C the speed of light which = 1/√the permittivity of free space times the permeability of free space.
For a 3D velocity field would the vorticity be perpendicular to the velocity? Obvious for the 2D case but I am having trouble seeing this in 3D.
mdogizdeadly 3 weeks ago
Gracias.
unotrenpentados 1 month ago
so much twig in this video
kschwab14 3 months ago
Twig. LOL
kirjotheman 4 months ago
@PaulClou no, as if garrison know shit, we'd need mr hat
blamemygender1 6 months ago
Holy crap, before these videos, curl, divergence, and the dot product were just abstract ideas thrown at me in class. I just had to memorize the formulas. Now, they all make perfect sense to me! I couldn't ask for more.
TempvsMortis 8 months ago 3
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I wud say its the best explanation on vector theory by anyone till now for me...
Great, please post more videos on fluid mechanics and heat transfer......
harishli2020 1 year ago
I wud say its the best explanation on divergence and etc by anyone till now for me...
Great, please post more videos on fluid mechanics and heat transfer......
harishli2020 1 year ago
I wud say its the best explanation on divergence and etc by anyone till now for me...
great, please post more videos on fluid mechanics and heat transfer...
harishli2020 1 year ago
Excellent choice of example. I studied the curl in college failed to gain much intuition for it. The right hand rule always seemed kind of ad hoc to me.
matrixkernel 1 year ago
Clear, and usable explanation, thank You!
Your videos seems to be extremely useful. Thx again!
almasiszabolcs 1 year ago
khan, i am amazed at how much information you have inside your brain. It really is endless huh? incredible.
MJsDisciple 1 year ago
Bravo. I really wish you were my teacher.
donitasz 1 year ago
awesome explanations. I especially like how you focus on the interpretations and the meaning.
rudigreen 2 years ago
Really understands vector theory and is able to explain it.
luzzie9 2 years ago
you mentioned a free java applet that you used for plotting your 3d vector fields. what was the applet called?
hump3081 2 years ago
@hump3081 in one of his later videos he drags the app far enough into the window that i could see the programs name. its called javaview. google magic! :D
GlowStringTheory 1 year ago
Many Thanks!
arunesh3301 2 years ago
lol, i love how many times he says twig
kmtkmy 2 years ago 13
Very interesting.
cb550k3 2 years ago
Great, Very clear explanation, Thanks a lot
bbbwind 3 years ago 8
In Maxwell's equations of electromagnetism we find ∇x(∇xE)= -∇^2 E + the permittivity of free space times the permeability of free space times ∂^2 E/∂t^2= -(∂^2E/∂x^2 + ∂^2E/∂y^2 + ∂^2E/∂z^2) This is a wave equation in the electric field in free space, it tells you that you must be able to create electric fields which move with speed C the speed of light which = 1/√the permittivity of free space times the permeability of free space.
hollowx9 3 years ago 3
[∇x(∇xA)=∇(∇.A)-∇^2 A]
hollowx9 3 years ago 3