In this video, I explain the proof by induction method and show 3 examples of induction proofs! :D Instagram: / braingainzofficial
Пікірлер: 24
@mahfoozali11622 жыл бұрын
Trust me guys, he has the best way of presenting the topic!. I've been searching for discrete math vids, and finally found the best one. keep doing what u do✌
@dylanrobichaud36767 ай бұрын
i’m a junior in college and you covered this material significantly better and more efficiently than my professor. you have a great way of explaining. keep it up man💪
@SomenoobIoI11 ай бұрын
Great video, the third example helped me quite a bit!
@zanekovac726 Жыл бұрын
Thank you, this video made things so clear, the explanation is nice and detailed.
@saturnrobinson50572 жыл бұрын
Thank you!!! Taking a course on linear algebra and one on number theory without taking an intro proof class so we're just kinda vibing over here!
@cohenharley14622 жыл бұрын
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@cohenharley14622 жыл бұрын
@Kasen Wade I really appreciate your reply. I found the site through google and Im trying it out atm. Looks like it's gonna take a while so I will get back to you later with my results.
@cohenharley14622 жыл бұрын
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@kasenwade53862 жыл бұрын
@Cohen Harley happy to help :)
@rupanbaro58493 жыл бұрын
Nice presentation for beginners in
@arjay_20022 жыл бұрын
is the basis step the base case?
@k.85973 жыл бұрын
I used (7^k = 3 + 4^k) so you end up with 7(7^k)-4(4^k) = 7(3+4^k) - 4(4^k) = 21 + 7(4^k) - 4(4^k) = 21 + 3(4^k) = 3(7+4^k) and since k is a positive integer and the integers are closed under addition and multiplication, 3(7+4^k) = 3z where z is an integer. Bit different but is it still valid?
@quelloroberts63102 жыл бұрын
im mirin the brain gainz brah
@deepstudios3832 Жыл бұрын
at 13:56, we we are writing what we want to show, why is the 4k - 3 present in addition to plugging k + 1 into k. if we supposed that n = 1, i understand putting 4k + 3, but if we Want to show P(k + 1), wouldnt we just plug in k + 1 wherever n is present (like we did for the right side)?
@BrainGainzOfficial Жыл бұрын
Good question. Yes, you can just replace k with k+1 and simplify (I also did this). Writing 1+5+...+(4k+1) is the same as writing 1+5+...+(4k-3)+(4k+1). I just made the term before 4k+1 more explicit because I think it helps us see how we can show what we want to show (by adding (4k+1) to both sides). If you can do without it then it's still perfectly fine.
@airylharridzuan63778 ай бұрын
At 24:12 how did you came up with 3 . 7^k+ 4 . 7^k + 4 . 4^k ? Btw thank you so much for your videos! Helped me a lot
@glansingColt2 жыл бұрын
Can you make a vid on Strong induction?
@gerardsagliocca62925 ай бұрын
I think you should organize your videos by similar topics
@AkhonaAlbertIsaacMali3 жыл бұрын
Thanks a lot for this. I just want to ask how you got to 23:56. I'm a bit lost at that step. But I understand how you got from there onward.
@AkhonaAlbertIsaacMali3 жыл бұрын
Oops. Never mind. I understood just as I typed this comment out. You the man! Awesome videos
@chrisrodriguez63574 жыл бұрын
Can you be my professor?
@gerardsagliocca62925 ай бұрын
Should have gotten more board space. It looks crammed.
@glansingColt2 жыл бұрын
am paying million dollars for these in college. shame on me
@hamzarehan18385 ай бұрын
At 18:15 how do you get 2k^2 + 4k + 2 - k -1 from 2k^2-k+(4k+1)? This doesn't make any sense for me.