Uploaded September 2021 | Updated September 2026, 1 week ago
There are even numbers and odd numbers. But for some reason, there aren't any numbers that are even and odd at the same time. Why is that? In this video we give a proof that odd numbers are not even!
Challenge Problems playlist: youtube.com/playlist?list=PLug5ZIRrShJGkzGsXMYQt8bi5ImYtiEMM
Subscribe to see more new math videos!
Music: C418 - Pr Department
There are even numbers and odd numbers. But for some reason, there aren't any numbers that are even and odd at the same time. Why is that? In this video we give a proof that odd numbers are not even!
Challenge Problems playlist: youtube.com/playlist?list=PLug5ZIRrShJGkzGsXMYQt8bi5ImYtiEMM
Subscribe to see more new math videos!
Music: C418 - Pr Department





![Functions as Sums of Exponentials
The 5 by 5 inverse matrix to play around with:
[ 1, -10, 35, -50, 24;
0, -1/6, 3/2, -13/3, 4;
0, 8, -64, 152, -96;
0, -81/2, 567/2, -567, 324;
0, 128/3, -256, 1408/3, -256 ]
A method to represent functions as a sum of exponentials. Use the inverse matrix and try it out on some functions to see what happens!
This video is a response to Dr. Peyams video about diagonalizing the differential operator.
New math videos every Monday and Friday. Subscribe to make sure you see them! Functions as Sums of Exponentials](https://i.ytimg.com/vi/lldiTpV6gX8/mqdefault.jpg)




