Uploaded August 2020 | Updated September 2026, 1 week ago
Video on injective functions: youtu.be/0dSb30fE1so
Surjective and bijective functions are functions between sets that have additional conditions that give them special properties. In this video, we explain how those conditions work and how we can use bijections to get information about sets!
0:00 Surjections
2:31 Bijections
4:28 Bijection means same size
Subscribe to see more new math videos!
Music: OcularNebula - The Lopez
Video on injective functions: youtu.be/0dSb30fE1so
Surjective and bijective functions are functions between sets that have additional conditions that give them special properties. In this video, we explain how those conditions work and how we can use bijections to get information about sets!
0:00 Surjections
2:31 Bijections
4:28 Bijection means same size
Subscribe to see more new math videos!
Music: OcularNebula - The Lopez




![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)





