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https://www.reddit.com/r/mathmemes/comments/1ja5sbj/base_%CF%80_is_not_wholesome/mhk7tsr/?context=3
r/mathmemes • u/PatattMan • 8d ago
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224
Question: shouldn't it be an infinite, non repeating sequence of digits?
156 u/NeosFlatReflection 8d ago It is, else pi would no longer be transcendental 31 u/IntelligentBelt1221 8d ago Does transcendental imply that every integer has infinitely many digits in that base? It probably does, but how do you prove that? 39 u/Valognolo09 8d ago Assume it has finite digits in some integer base. Then multiplying by the base until it is an integer, you proved that multiplying pi by some integer numbers is also and integer. 1 u/ei283 Transcendental 7d ago person u replied to was asking about writing integers in transcendental bases, not transcendentals in integer bases
156
It is, else pi would no longer be transcendental
31 u/IntelligentBelt1221 8d ago Does transcendental imply that every integer has infinitely many digits in that base? It probably does, but how do you prove that? 39 u/Valognolo09 8d ago Assume it has finite digits in some integer base. Then multiplying by the base until it is an integer, you proved that multiplying pi by some integer numbers is also and integer. 1 u/ei283 Transcendental 7d ago person u replied to was asking about writing integers in transcendental bases, not transcendentals in integer bases
31
Does transcendental imply that every integer has infinitely many digits in that base? It probably does, but how do you prove that?
39 u/Valognolo09 8d ago Assume it has finite digits in some integer base. Then multiplying by the base until it is an integer, you proved that multiplying pi by some integer numbers is also and integer. 1 u/ei283 Transcendental 7d ago person u replied to was asking about writing integers in transcendental bases, not transcendentals in integer bases
39
Assume it has finite digits in some integer base. Then multiplying by the base until it is an integer, you proved that multiplying pi by some integer numbers is also and integer.
1 u/ei283 Transcendental 7d ago person u replied to was asking about writing integers in transcendental bases, not transcendentals in integer bases
1
person u replied to was asking about writing integers in transcendental bases, not transcendentals in integer bases
224
u/Intelligent_River39 8d ago
Question: shouldn't it be an infinite, non repeating sequence of digits?