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Constant of Gelfond-Schneider

The constant of Gelfond-Schneider is



The root of two is an irrational number

You can take this number as an exponent, then you get

and that's even a transcendental number. So there are an infinite number of digits behind the decimal point, which never form a regular pattern. You can therefore add this number to the list with π and e.



Russian mathematician Alexander Gelfond (1906 - 1968) and German mathematician Theodor Schneider (1911 - 1988) investigated transcendental numbers.

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