Rational and irrational numbers under base pi

Joglxym

Joglxym

Answered question

2022-11-08

Rational and irrational numbers under base pi

Answer & Explanation

embutiridsl

embutiridsl

Beginner2022-11-09Added 26 answers

It's not enough to just say "base It's not enough to just say "base π" - the concept isn't really defined until you specify what the digits are allowed to be. What seems to me to be the only reasonable option is to say that digits can be anything within [0,π), but this then makes representing anything trivial, because for any a>0," - the concept isn't really defined until you specify what the digits are allowed to be. What seems to me to be the only reasonable option is to say that digits can be anything within [ 0 , π ), but this then makes representing anything trivial, because for any a > 0,
a = π log π ( a ) = π log π ( a ) π log π ( a ) log π ( a ) between 0 and  π = π log π ( a ) log π ( a ) 00 0 log π ( a ) 1  in base  π
So the representation of 2 in base π under this approach would just be 2 (because 1 < 2 < π), while the representation of 4 would be 4 π 0 (because π < 4 < π 2 ).

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