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  @ejjoxe65949 күн бұрын

  THANK YOU <3333333

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  @the_l0st317Ай бұрын

  Exactly what i was looking for, Mr. 3B1B jr. <3

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  @MuhammedEssmatzakiАй бұрын

  Your vedio is amazing keep on

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  @davidfield5295Ай бұрын

  Great explanation

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  @akanguven114Ай бұрын

  In every time span may God bless you! Thanks

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  @neevetiasliАй бұрын

  I have a disease, i can't learn something before understanding the logic behind it. Now thanks to you sir, i am learning this processus and never forgetting it!

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  @pseudopseudo36793 ай бұрын

  This was awesome

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  @jonahperelman51754 ай бұрын

  goated video, cheers!

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  @xuepingsong53294 ай бұрын

  I'm terrible at following backwards logic

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  @samihahsharif74414 ай бұрын

  That was amazing, sir!

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  @afsinyilmaz86655 ай бұрын

  I was struggling to understand the reason behind subtracting one additional term for each additional base vector to remove parts that are not orthogonal with Gram-Schmidt and this visual did it for me. Great!

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  @omargaber31225 ай бұрын

  Great, thank you very much❤

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  @jirkadolezal81276 ай бұрын

  👍👍👍👍👍👍👍👍👍👍👍

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  @olayinkajosiahajayi83307 ай бұрын

  Thank you Dan. This explanation is beautiful.

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  @grooveseeker62697 ай бұрын

  THANK YOU! I couldn't gasp why subtracting the proyecting would give you the desired vector, thank you sooo much

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  @jacobzetterfeldt36529 ай бұрын

  great explanation. Thank you for the help :)

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  @koala157810 ай бұрын

  ily

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  @rmodur11 ай бұрын

  Wonderful explanation, this is the best video on this topic. Thank you!

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  @LukasLampe Жыл бұрын

  wouldve loved to know what happens when you put a point directly on the line that makes the difference

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  @dangries38686 ай бұрын

  I should have done that! What happens is this: when we click right on the line, we are choosing a scalar value of zero for the b1 component, so the state vector is just a scalar multiple of b2. Such an initial state leads to exponential decay and the populations both approach zero.

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  @LukasLampe Жыл бұрын

  amazing video, deserves way more views. Thank you!

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  @timothyryan8753 Жыл бұрын

  This helped a little bit but man is this stuff hard to grasp. Definitely gonna fck this up on the test.

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  @Bokkie312 Жыл бұрын

  this video made my linear algebra course bearable

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  @matansavage Жыл бұрын

  wow. great explanation. thanks

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  @sanjaisrao484 Жыл бұрын

  thanks for the excellent explanation You are great , keep helping people

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  @fionazengyuqi1746 Жыл бұрын

  Thanks sirrrrr helped a lot!

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  @joshstephenson9711 Жыл бұрын

  There are hundreds of videos about Gram-Schmidt, but this is the best one that demonstrates it visually, which is imperative to understanding it intuitively. Thanks!

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  @stevenjames5874 Жыл бұрын

  Wow. That was really well done! Otto's book is horrifically dense at some points, and I felt that this particular example was poorly introduced in the text. You've completely de-mystified the discrete dynamic system.

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  @dbf72829 Жыл бұрын

  Avatar

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  @LawrenceChan-me1rw Жыл бұрын

  Excellent interpretation and explanation of the process. Very intuitive!

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  @bs3973 Жыл бұрын

  This makes beautiful sense!! I graduated w a math degree from university - as a D student. As a software engineer, I've been going back and relearning concepts to help me visualize the digital world I'm creating and WOW, maybe I did learn something during college. Thank you for the visuals and walking us through it, it was very helpful and I was following the entire time!!

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  @crytp0crux6 ай бұрын

  Humility is a very cool attribute.

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  @jiyeonlee5452 Жыл бұрын

  I am doing a math phd and this was still extremely helpful. thanks

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  @eboyofcolour945 Жыл бұрын

  this is amazing lol

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  @olehborys1462 Жыл бұрын

  Just perfect and brief explanation what eigenvectors are in fact and great example of usage. Thank you!

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  @eyton8558 Жыл бұрын

  This is a great video thank you

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  @thomaspittard1279 Жыл бұрын

  This video is 🔥🔥🔥🔥🔥🔥

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  @filippodembech7659 Жыл бұрын

  Thanks to have explained this process so well!

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  @ankitmehra5797 Жыл бұрын

  Thanks a lot, really helped me visualize the torus.

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  @tuongnguyen9391 Жыл бұрын

  Hey what kind of software that enable you to do that ?

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  @mariomuysensual2 жыл бұрын

  amazing, thanks!

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  @AnonymousIguana2 жыл бұрын

  Great, thanks :D. I love internet for such a good quality education materials :)

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  @alanmichaelthayil9672 жыл бұрын

  Thank you very much for this video :)

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  @polagracjazycka2 жыл бұрын

  thanks a lot!!!

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  @polagracjazycka2 жыл бұрын

  thanks a lot!!!

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  @the_informative_edge2 жыл бұрын

  For the sketching, which software is used?

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  @mathanimation75632 жыл бұрын

  Geogebra

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  @the_informative_edge2 жыл бұрын

  How 2<x<4?

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  @dangries3868 Жыл бұрын

  Sorry I missed this comment when you posted it! The assumption that x was between 2 and 4 was made because x was approaching 3. But ultimately we don't need to assume that x is between 2 and 4 - in the video after around the 3:00 mark I explain how to take care of x values that might be outside of those bounds. The expression we come up with for delta at the end (which involves taking a minimum of two numbers) works for all epsilon values.

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  @beersforever2 жыл бұрын

  Respect, great video.

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  @xy-mw9nx2 жыл бұрын

  More videos! Your exposition is first-rate

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  @xy-mw9nx2 жыл бұрын

  The animation reminds me of the Moonfish that make different shapes in Finding Nemo

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  @xy-mw9nx2 жыл бұрын

  Incredible quality of explanation through your application. All of your other videos are also great. Channel is deserving of more attention.

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  @OfficialSetty2 жыл бұрын

  Thank you so much