/sci/ - Science & Math

>>	Anonymous Thu Jul 30 14:24:27 2020 No.11954112 [View] File: 34 KB, 500x386, 1534403435630107714.jpg [View same] [iqdb] [saucenao] [google] >>11954078 it's alright we are all gonna make it bro...

frog challenge #1 Anonymous Mon Aug 26 16:21:08 2019 No.10919794 [View]
File: 34 KB, 500x386, 1534403435630107714.jpg [View same] [iqdb] [saucenao] [google]

Prove or disprove:
There exist an uncountable set [math]X \subset \{0, 1\}^{\mathbb{N}}[/math], such that for any two sequences [math](x_n)_{n \in \mathbb{N}}, (y_n)_{n \in \mathbb{N}} \in X[/math] the following holds:
[eqn]\lim_{k \rightarrow \infty} \frac{1}{k} \# \{ 1 \leq i \leq k : x_i = y_i \} = \frac{1}{2}. [/eqn]

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/sci/ - Science & Math

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