Discussion in 'Off-Topic Chat' started by Squarehead314, Sep 14, 2023.

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Hi guys,

Let me know what your favorite theorem/equation is below and why! I have to go with a² + b² = c². An old classic, but useful in so many situations and fun to learn and understand. Not fancy, I know, but always good to have.

Best,

2. ### Walter Fristoe

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I really like this equation that generates the sequence of numbers in the central column of Pascal's Triangle:
(2n)!/(n!)^2

Walter Fristoe, Sep 14, 2023

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4. ### Walter Fristoe

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Sometime last year I came up with a different method for generating the sequence of numbers in the central column of Pascal's Triangle, but I've forgotten how I did it, so I've been trying like hell to redo it but I'm not having much luck. But I don't intend to stop trying!

Walter Fristoe, Sep 14, 2023
5. ### Logic

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For me that would be:

ed = 1 mod (P-1)(Q-1)

for the encryption exponent e and the decryption exponent d

and:

cyphertext c = p^e mod N
plaintext p = c^d mod N

for the actual encryption and decryption with RSA.

Logic, Sep 16, 2023
6. ### Walter Fristoe

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Here's another one that I like quite a bit:
Moser's Circle Theorem:
I can't seem to use the proper symbols, so I'll have to use what my calculator allows:
F=(x nCr 4) + (x nCr 2) + 1

Walter Fristoe, Sep 28, 2023

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