Uploaded August 2020 | Updated September 2026, 2 weeks ago
Basics of modular arithmetic: youtu.be/xclxzNbXeKM
Explanation of 3 different proofs that ac is congruent to bd mod n. The multiplication rule in modular arithmetic is very important for proofs in modular arithmetic!
Modular Arithmetic playlist: youtube.com/playlist?list=PLug5ZIRrShJHPX-OyMNLLCQfKXchdZKpE
0:00 First Proof
3:08 Second Proof
5:13 Third Proof
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Music: OcularNebula - The Lopez
Basics of modular arithmetic: youtu.be/xclxzNbXeKM
Explanation of 3 different proofs that ac is congruent to bd mod n. The multiplication rule in modular arithmetic is very important for proofs in modular arithmetic!
Modular Arithmetic playlist: youtube.com/playlist?list=PLug5ZIRrShJHPX-OyMNLLCQfKXchdZKpE
0:00 First Proof
3:08 Second Proof
5:13 Third Proof
Subscribe to see more new math videos!
Music: OcularNebula - The Lopez
![Introduction and Derivation of F[x]-Modules](https://i.ytimg.com/vi/H44q_Urmts0/mqdefault.jpg "Introduction and Derivation of F[x]-Modules
Modules over a polynomial ring have very important applications to linear algebra. Here we prove some basic properties of F[x]-modules and show how they are related to vector spaces over a field.
Ring & Module Theory playlist: https://www.youtube.com/playlist?list=PLug5ZIRrShJExMapwnaKTFXDYbKeWDXq7
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Music: C418 - Pr Department")
