Master Theorem Visually Explained
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- Опубліковано 17 вер 2022
- Here we go over the intuition behind the master theorem / master method, which often times gets lost behind all the math required for the proof.
Visualized with Manim Community.
Sources and further links:
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- [Model Checking](en.wikipedia.org/wiki/Model_c...)
- [Hoare Calculus](www.researchgate.net/figure/H...)
- [Z3: An Efficient SMT Solver](doi.org/10.1007/978-3-540-788...)
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- [Khan Academy: Asymptotic notation](www.khanacademy.org/computing...)
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In 5:26 I haven't understood why the index of the sum is from j=0 to log b (n-1) rather than j=0 ti log b (n) - 1
Sorry for the late reply. Because the last/n-th term are the leaves, which are the term afterwards, i.e. Theta(n^(log_b(a)))
It' s fine. I mean if we don't consider the last level in the summation we should do height minus 1, with height = log_b(n), so the minus 1 is outside the bracket. Correct me if I am wrong
@@stefano3618 Didn't see it again haha. Yes, you are completely correct, it should be
sum_{j=0}^{log_b(n)-1}
I've pinned your comment for everyone else. Thank you so much!
it's a crime that your channel does not have millions of subscribers. THANK YOU for this
I agree
with only 2 videos?
Everywhere I searched they just used the formula or showed how to use the formula! This is EXACTLY what I was looking for. Brilliant work
I had a really hard time understanding the Master Theorem when I was studying Algorithms so long ago. You've made understanding this complex formula so much easier. Thank you.
absolutely beautiful work, really appreciate all the hard work you clearly put into this
Lars why are you so cool. This is one of the best algorithm teaching videos I've ever seen in my life. I’m relearning Master’s Theorem at 2am right now. Every couple mins I audibly say “what the f!!!” and pause the video to take agitated paces around the room because something you said just blew my mind again. Thank you for the clear explanation, the visualization, the scattered meme-ry, and the montage of cool applications at the end (I dropped so many "what the f"s going through that). Above all THANK YOU for all the time and care you put into this video, it is a cut above everything else I've seen!!!
I have never seen such an eloquent explanation of the master theorem in books or any videos, hats off.
Very well visualised. Good Job, Lars!
thank you so much for the video. I really appreciate it: the topic is well and CLEARLY explained with fantastic animation.
Best video on master's theorem ! Thank You so much for this.
confirmed best vid on YT about this. Saved my homework grade ty bb
great video, well explained and well made, making it very easy to visualize the concepts being apllied to the problems.
Omg please post more videos. I love this!
Very good presentation and I loved your style of teaching!!
nice video man! Good explaination on the master theorem!
This is just amazing work!
Thank you so much.
Really awesome explanation brother ... kudoes!!! You diserve so many subs!
please make more videos, engaging, easy to understand and funny, great job!
brrrruuuuh you need to create more videos this was awesome
What an incredible video. I would have saved so much time if I had found this video first! Thank you so much.
this is such a good explanation! :D thank you, i finally understand ^^
I LOVE YOU LARS THIS HAS BEEN SO HELPFUL
Holy fuck this is high quality, I'm surprised you don't have more subs
where have you been all my life. thank youu!
first time finally understanding it, thanks a lot
U are amazing, I hope u can continue to do this, it is wonderful viode.
great video, thanks bro
This is so op wtf how do you only have 300 subs
What a great video!
You saved my Master's Degree! Thanks Lars, I love you!!!
brilliantly explained
This is Wonderfull.... Best explanation
make more vids pleaseeeeee this is god tier
can you provide your code for the animation in manim I am new to manim and I would really learn a lot from you
This is amazing. Thank you so much, Lars. Do you post videos anywhere else? I am studying "Introduction to Algorithms" by Cormen right now in school but I am much more a visual learner. Does anyone have any good playlists or outside resources to help with this material? I know a lot of folks really take to Abdul Bari's videos but I don't understand his explanations as easily as others seem to.
Best Video so far on MT
This makes things so clear. Wow.
You sir are a legend!
why do you only have one video??? i was so hoping to look at more :( but thanks anyway! great video
Please! PLEASE MAKE NEW VIDEOS ABOUT OTHER COMPUTER SCIENCE TOPICS! This video war really great and I understood the Theorem!
Time-efficient at its best!
Thank You❤
I think you are a kind person
Thank you
bro I owe you one THANK YOU
brilliant
3:55 - "what is the depth of our tree?" - No such thing exists. You have the depth of a node, the height of a node, and the height of a tree.
🤓even professors would say the depth of the tree to refer to the deepest point of the tree
May you live a long happy life
Hey nice video.!!!
Notification gang ☑ we lit 🔥
Where more video, hw due tmr , need help
Very strong video. You could have a bigger audience if you also uploaded your videos in german ;)
Why you have ONLY ONE video ???
thank you for this , my prof is garbage and im having a hard time with math
Damn man I finally really get it 😂
3:16 What does he say here ? Subtitles please
automatic subs help.
they get it right at 3:16
YOUR VIDEO IS AMAZING, BE CONSISTENT AND ULL BLOW UP SIR!
to few people have seen this!
dude thank you for this video i explained this to some autistic girl at a party and she went home w me :)
Bitte ende nicht als 0815-Entwickler. Das ist meine Domäne.
I see that you are trying to explain as best as you can, but I still don't understand. The other videos on UA-cam for Master Theorem are also garbage.