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Results tagged with intuition
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user 25619
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).
11
votes
Proofs without words
I like the tiling proof of the Pythagorean Theorem. The left image is credited to Al-Nayrizi and Thābit ibn Qurra (9th century) and the right by Henry Perigal (19th century).
-9
votes
Proofs without words
This is a "proof without words" by an equation, not a picture.
Three complex numbers $a,b,c$ in the complex plane form the vertices of an
equilateral triangle if and only if $~a^2 + b^2 + c^2 = ab + …