BC 0500? Hippasus
According to Pythagoras theorem the diagonal length of a square with each side measuring one unit would be square root of two. The assumption that square root of two could be expressed as a ratio of two integers deduces a contradiction.
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 18 Adding & Subtracting Integers
Math Antics - Adding & Subtracting Integers
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 01 Hippasus
○ According to Pythagoras theorem the diagonal length of a square with each side measuring one unit would be square root of two. ○ The assumption that square root of two could be expressed as a ratio of two integers deduces a contradiction.
http://qindex.info/i.php?x=6563
 prime number theorem
○ π(n) is asymptotically equivalent to x/log x. ○ Of the first n integers, roughly 1/log n of them would be prime. #math
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 irrational number
Irrational numbers can't be expressed as the ratio of two integers. #math
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 √2 ≈ 1.414
According to Pythagoras theorem the diagonal length of a square with each side measuring one unit would be square root of two. The assumption that square root of two could be expressed as a ratio of two integers deduces a contradiction. #math
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 Integers
http://qindex.info/i.php?x=9611
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