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Constant of Gelfond-Schneider
The constant of Gelfond-Schneider is
Explanation
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.
HistoryRussian mathematician Alexander Gelfond (1906 - 1968) and German mathematician Theodor Schneider (1911 - 1988) investigated transcendental numbers. |