Master Theorem Visually Explained
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- Опубликовано: 8 фев 2025
- 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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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.
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.
Great explanation! I love the connection you make between recursion tree and master theorem, that makes the thing much clear.
I thought this was a big video. It was really well made.
absolutely beautiful work, really appreciate all the hard work you clearly put into this
you explained master theorem 10 times better than our CS professor, this is soooo underrated!
confirmed best vid on YT about this. Saved my homework grade ty bb
Best video on master's theorem ! Thank You so much for this.
Look at this graph! Perfect! Just as I was nodding off, you caught my attention again!
After spending at least 3 hours checking the rest links you shared to get the basics I was able to understand this video. Kudos for the great work. Really appreciate it. Unfortunately, in academic level, there is the attitude of trying to confuse someone instead of explaining and this is where gems like this video bring light to the journey of Algos 😁
thank you so much for the video. I really appreciate it: the topic is well and CLEARLY explained with fantastic animation.
This is such a great and helpful video. Very clear explanation... thanks Lars!! 🙌
so helpful! and you cited your sources!! T_T 🐐🐐🐐 thanks.
Very well visualised. Good Job, Lars!
brrrruuuuh you need to create more videos this was awesome
Really awesome explanation brother ... kudoes!!! You diserve so many subs!
What an incredible video. I would have saved so much time if I had found this video first! Thank you so much.
please make more videos, engaging, easy to understand and funny, great job!
You saved my Master's Degree! Thanks Lars, I love you!!!
Very good presentation and I loved your style of teaching!!
Thanks for the Video Lars. It helped me a lot.
I LOVE YOU LARS THIS HAS BEEN SO HELPFUL
This is just amazing work!
Thank you so much.
great video, well explained and well made, making it very easy to visualize the concepts being apllied to the problems.
where have you been all my life. thank youu!
Omg please post more videos. I love this!
Holy fuck this is high quality, I'm surprised you don't have more subs
I think you are a kind person
nice video man! Good explaination on the master theorem!
this is such a good explanation! :D thank you, i finally understand ^^
U are amazing, I hope u can continue to do this, it is wonderful viode.
first time finally understanding it, thanks a lot
This is so op wtf how do you only have 300 subs
brooooo you are coooll af
yeeeaaaah this explanation is glorious.
Damnnn I love these channels with horrible mic but extraordinary content
Please! PLEASE MAKE NEW VIDEOS ABOUT OTHER COMPUTER SCIENCE TOPICS! This video war really great and I understood the Theorem!
2:50 Nickelback.. this made my day
Best Video so far on MT
brilliantly explained
Thanks Lars Quentin!
make more vids pleaseeeeee this is god tier
What could you expect rather than perfection combining German and Science.
This is Wonderfull.... Best explanation
great video, thanks bro
Time-efficient at its best!
What a great video!
why do you only have one video??? i was so hoping to look at more :( but thanks anyway! great video
May you live a long happy life
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
This makes things so clear. Wow.
bro I owe you one THANK YOU
You sir are a legend!
Thank you
Thank You❤
I think the only problem is your accent is hard to understand for the masses. Otherwise I see no reason why you don't have at least 500K subs.
Edit: Bro deserves a million subs
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.
brilliant
can you provide your code for the animation in manim I am new to manim and I would really learn a lot from you
thank you for this , my prof is garbage and im having a hard time with math
YOUR VIDEO IS AMAZING, BE CONSISTENT AND ULL BLOW UP SIR!
Very strong video. You could have a bigger audience if you also uploaded your videos in german ;)
Where more video, hw due tmr , need help
Why you have ONLY ONE video ???
dude thank you for this video i explained this to some autistic girl at a party and she went home w me :)
Hey nice video.!!!
3:16 What does he say here ? Subtitles please
automatic subs help.
they get it right at 3:16
al gore rizzms
Notification gang ☑ we lit 🔥
Fucking amazing
Damn man I finally really get it 😂
to few people have seen this!
bro work on the accent a little bit it is a little hard to understand
I see that you are trying to explain as best as you can, but I still don't understand. The other videos on RUclips for Master Theorem are also garbage.