Pointwise_vs_Uniform_Convergence.mp4

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Every damn teacher should show something like this to their students.
Thanks a lot!

Gilpow
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Thank you for the animations!
The visualized parabolas along with the explanations finally made it click for me intuitively!

Isti
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I think you nailed it with this presentation. It creates a good intuition of the speed of convergence to the limit as n increases being the same for all x in the domain. Thanks.

comprehensiveboy
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Thanks, you just healed me from vulnerable definitions.
The best points i converged to understand uniformly at 3:23 and 4:16.

HarpreetSingh-kezk
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Awesome!!!
Finally gave me an intuition about this concept.
You rock!

rukman-sai
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Wow, very nice and intuitive explanation! Thank you; God bless!

Alexander
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Great video. Gave me a lot of intuition on a topic which when I first saw didn't make much sense at all.

alexarrowsmith
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Exactly what I was looking for. Thanks!

wilmercordoba
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Thank you that was very helpful. Quick, intuitive explanations that give the general idea are key. Please continue in this fashion. We can work out the finer points later once we have a general idea of what is going on. I see that you have been criticized for misleading language, but the general idea is the doorway. Serious people can refine things from there. I don't need the formal definitions. They are already available in textbooks.

frankfurtschoolboy
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Awesome, this this was super intuitive. Thanks!

annaek
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you kind of sound like Steve Carrell, cheers mate, thanks for the help

Carlos
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Great video. I understand the concepts now, thanks.

reillylefort
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Thank you for the nice video.
I can apply this for my report in Uni for the Geschwindigkeit. 

ゆーちき-wn
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Thanks, AJ. It is really tough to develop intuition just from textbooks, so I am glad I can help.

BretBenesh
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Thank you so much. This help me understand the concept.

auroy
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Thankx for the graphs, very useful :D

Andrei-dsqv
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@resselgmada This is why the remix culture is great. We can steal from each other, change it a bit, and the other person can steal it back!

BretBenesh
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Hi, Bret. Thanks for sharing all these videos. Are you using some sort of a tablet instead of the mouse? If so, what model and are you happy with it?

AdamGlesser
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@bretbeneshCSBSJU Thanks, Bret. I have heard similar things about the Wacom Bamboo tablet. I've been hesitant to pick one up because I already write like a 3rd grader! By the way, I'm going to try SGB in my abstract algebra class this semester. It should be crazy.
Adam

AdamGlesser
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I agree with you. Saying "converge at the same rate" is misleading for this example.

That said, the purpose of this video was to give an intuitive understanding of uniform vs pointwise convergence, and I can live with this approximation for that. Your alternate description is good, but I think that it would not help build intuition in my students.

So I stand by it as "useful, " but I definitely acknowledge that it is not technically correct. And I really appreciate you pointing this out.
Bret

BretBenesh