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Results tagged with intuition
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user 6429
Questions asking for the intuition behind some definition, conjecture, proof etc. In other words, questions designed to improve or to acquire understanding on a conceptual or intuitive level, as opposed to on a technical or formal level. When asking such a question it can be helpful to include a rough description of ones understanding of the subject at hand (on a technical level).
8
votes
Proofs without words
Can you tile an 8x8 chessboard with one corner cut off with dominoes of dimension 3x1?
This is a simple way to show that choosing a useful coloring can make a proof trivial.
This proof was also a …
88
votes
Proofs without words
Another proof of the sum of the first $n$ squares, relying on the knowledge of the formula for the sum of the first $n$ numbers:
$$1^2 + 2^2 + \dots + n^2 = n(n+1)(2n+1)/6$$
This one has a similar …