How many ways are there to walk across a room?
It's a mathematics video. I don't have any formal mathematics education, I made this video because of interest.
Corrections:
At 5:28 I accidentally changed (n - 1 + k - 1) to (n - k - 1), when it should have been (n + k - 1). Unfortunately, this error continues throughout the entire video, making the final function inaccurate. So, just pretend that the numerator of the fraction is (2l - 2st + j - 2)!
- - - - - -
0:00 exposition
0:14 intro
0:23 part 1: the grid
2:45 part 2: the function
6:11 part 3: the extensions
7:30 part 4: the inputs
9:55 part 5: the final function
12:53 part 6: conclusion
13:51 outro
- - - - - -
this video was technically made for the Summer of Math Exposition 2 #SoME2 (I had the idea to make it before it started, but it gave me motivation and a deadline, so I decided to participate in it using this video).
this might be one of the worst videos submitted to that, but whatever. I enjoyed making this
I didn't want to use somebody else's music for this video so I made it myself. the only problem is that I am not a music composer so I used a really terrible browser website to do it. as a result, the music isn't very good, but I would prefer that over using somebody else's music.
next video coming soon