Unfortunately the sound of the video is not very good, but otherwise the explanation of the derivation of Catalan's formula is very good. Was looking for it for years.
Easy recursive way to get the Catalan numbers: Begin (1, 1,) dot (1, 1) = 2. Place the 2 on the right of (1, 1,) getting (1, 1, 2). Reverse and take the dot product of (1, 1, 2) and (2, 1, 1), getting (2 + 1 + 2) = 5. Then place the 5 to the right of 1, 1, 2, 5 and take the dot product of the reverse,(5, 2, 1, 1) getting (5 + 2 + 2 + 5) = 14. Put 14 to the right of the ongoing string getting (1, 1, 2, 5, 14) and take the dot product of the reverse, so dot product of (1, 1, 2, 5, 14) and (14, 5, 2, 1, 1) = (14 + 5 + 4 + 5 + 14)
Best tutorial on Catalan numbers without a doubt. The matrix part just amazed me!!
Best video on the topic, hands down.
Best Calatan number introduction till date. Thanks for the simple and lucid explanation
Best 47 minutes tutorial I have ever seen. Thanks sir.
thank you for sharing such wounderfull lecture
Best video on youtube, and I spent hours looking at other ones. you are a math-god
amazing lectures
dam good explaination......big fan sir
best explanation on this ... awesome Sir.
Great explanation! Thank you
One of the best tutorial
Awesome
thank you sir very much
hey. 6 choose 3 is 20 right?
Then it should be 15 paths violating the restriction.
Right
yes 5 symmetric paths to the ''right'' ones with respect to the diagonal and 10 going over the diagonal = 15 violating paths
Thanks for uploading !!
Awesome teacher.
well done!!!!
great tutorial
Amazing content although the audio/video quality isn't great.
awesome sir..
Unfortunately the sound of the video is not very good, but otherwise the explanation of the derivation of Catalan's formula is very good. Was looking for it for years.
YEARS?
CFBR IIIT Bhagalpur🙂
Easy recursive way to get the Catalan numbers: Begin (1, 1,) dot (1, 1) = 2. Place the 2 on the right of (1, 1,) getting (1, 1, 2). Reverse and take the dot product of (1, 1, 2) and (2, 1, 1), getting (2 + 1 + 2) = 5. Then place the 5 to the right of 1, 1, 2, 5 and take the dot product of the reverse,(5, 2, 1, 1) getting (5 + 2 + 2 + 5) = 14. Put 14 to the right of the ongoing string getting (1, 1, 2, 5, 14) and take the dot product of the reverse, so dot product of (1, 1, 2, 5, 14) and (14, 5, 2, 1, 1) = (14 + 5 + 4 + 5 + 14)
So, mathematics can be interesting.
best
did someone have the camera in their pocket or something? what is that popping noise through out the video?