Master Theorem Visually Explained
Vložit
- čas přidán 17. 09. 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:
- [Al Gore Clip, Simpsons episode 113](simpsons.fandom.com/wiki/Gram...)
- [Animating Fluid Sediment Mixture in Particle-Laden Flows]( • [SIGGRAPH 2018] Animat... )
- [Control Strategies for Physically Simulated Characters Performing Two-player Competitive Sports]( • Control Strategies for... )
---
- [Bubble-sort with Hungarian ("Csángó") folk dance]( • Bubble-sort with Hunga... )
- [Insert-sort with Romanian folk dance.flv]( • Insert-sort with Roman... )
- [Merge-sort with Transylvanian-saxon (German) folk dance.flv]( • Merge-sort with Transy... )
- [Quick-sort with Hungarian (Küküllomenti legényes) folk dance.flv]( • Quick-sort with Hungar... )
- [Select-sort with Gypsy folk dance.flv]( • Select-sort with Gypsy... )
- [Shell-sort with Hungarian (Székely) folk dance.flv]( • Shell-sort with Hungar... )
---
- [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...)
---
- [What Is Big O Notation?]( • What Is Big O Notation? )
- [Khan Academy: Asymptotic notation](www.khanacademy.org/computing...)
---
- [The Hammer Party - Divide And Conquer]( • Video )
- [PINK GUY - HELP]( • PINK GUY - HELP )
- [Look at this graph]( • Video )
- [JO1 - Algorithm ]( • JO1｜'Algorithm' PERFOR... )
---
- [How Karatsuba's algorithm gave us new ways to multiply]( • How Karatsuba's algori... )
- [2. Divide & Conquer: Convex Hull, Median Finding]( • 2. Divide & Conquer: C... )
- [Geometry of football (Voronoi)]( • Geometry of football (... )
- [3. Divide & Conquer: FFT]( • 3. Divide & Conquer: FFT )
- [The Fast Fourier Transform (FFT): Most Ingenious Algorithm Ever?]( • The Fast Fourier Trans... )
- [FFT Example: Unraveling the Recursion]( • FFT Example: Unravelin... )
- [4. Divide & Conquer: van Emde Boas Trees]( • 4. Divide & Conquer: v... )
- [Closest Pair of Points (Divide and Conquer) Explained]( • Closest Pair of Points... )
- [Strassen algorithm](en.wikipedia.org/wiki/Strasse...) - Věda a technologie
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.
thank you so much for the video. I really appreciate it: the topic is well and CLEARLY explained with fantastic animation.
Very well visualised. Good Job, Lars!
Best video on master's theorem ! Thank You so much for this.
great video, well explained and well made, making it very easy to visualize the concepts being apllied to the problems.
Very good presentation and I loved your style of teaching!!
confirmed best vid on YT about this. Saved my homework grade ty bb
please make more videos, engaging, easy to understand and funny, great job!
Thanks for the Video Lars. It helped me a lot.
Omg please post more videos. I love this!
This is just amazing work!
Thank you so much.
What an incredible video. I would have saved so much time if I had found this video first! Thank you so much.
nice video man! Good explaination on the master theorem!
Really awesome explanation brother ... kudoes!!! You diserve so many subs!
this is such a good explanation! :D thank you, i finally understand ^^
brrrruuuuh you need to create more videos this was awesome
You saved my Master's Degree! Thanks Lars, I love you!!!
where have you been all my life. thank youu!
first time finally understanding it, thanks a lot
I LOVE YOU LARS THIS HAS BEEN SO HELPFUL
U are amazing, I hope u can continue to do this, it is wonderful viode.
Holy fuck this is high quality, I'm surprised you don't have more subs
great video, thanks bro
Damnnn I love these channels with horrible mic but extraordinary content
This is so op wtf how do you only have 300 subs
What a great video!
make more vids pleaseeeeee this is god tier
This is Wonderfull.... Best explanation
I think you are a kind person
can you provide your code for the animation in manim I am new to manim and I would really learn a lot from you
Best Video so far on MT
brilliantly explained
Please! PLEASE MAKE NEW VIDEOS ABOUT OTHER COMPUTER SCIENCE TOPICS! This video war really great and I understood the Theorem!
This makes things so clear. Wow.
why do you only have one video??? i was so hoping to look at more :( but thanks anyway! great video
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.
Time-efficient at its best!
bro I owe you one THANK YOU
You sir are a legend!
Thank You❤
May you live a long happy life
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
Where more video, hw due tmr , need help
Why you have ONLY ONE video ???
Hey nice video.!!!
3:16 What does he say here ? Subtitles please
automatic subs help.
they get it right at 3:16
Notification gang ☑ we lit 🔥
thank you for this , my prof is garbage and im having a hard time with math
Very strong video. You could have a bigger audience if you also uploaded your videos in german ;)
YOUR VIDEO IS AMAZING, BE CONSISTENT AND ULL BLOW UP SIR!
Damn man I finally really get it 😂
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 CZcams for Master Theorem are also garbage.