Uploaded September 2020 | Updated September 2026, 1 week ago
Introduction to order mod p: youtu.be/Ida2JWofuUA
Video on Lagrange's theorem: youtu.be/DloZIQKpFNs?t=19
Explanation of what is a primitive root using the order mod p, along with a proof that every prime has at least one primitive root.
Quadratic Residues playlist: youtube.com/playlist?list=PLug5ZIRrShJGJieICD2KnqU9cRioaEBjB
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Music: OcularNebula - The Lopez
Introduction to order mod p: youtu.be/Ida2JWofuUA
Video on Lagrange's theorem: youtu.be/DloZIQKpFNs?t=19
Explanation of what is a primitive root using the order mod p, along with a proof that every prime has at least one primitive root.
Quadratic Residues playlist: youtube.com/playlist?list=PLug5ZIRrShJGJieICD2KnqU9cRioaEBjB
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)


