User contributions for Roshan

From Rest of What I Know
A user with 1,070 edits. Account created on 19 February 2024.
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  • 19:0419:04, 21 December 2024 diff hist +506 N Anti Pigeonhole Principle Created page with "The Anti Pigeonhole Principle is that if there are <math>n \in \mathbb{N}</math> pigeons and <math>m \in \mathbb{M}</math> pigeonholes such that <math>n < m</math> then there must be some pigeonholes that are empty. For sets <math>A</math> and <math>B</math> and function <math>f: A \to B</math> with <math>|A| = n ; |B| = m</math> where <math>n < m</math>, then <math>\exists b \in B</math> such that <math>|f^{-1}({b})| = 0</math>. Also, see wikipedia:Pigeonhole pr..."

19 December 2024

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