/sci/ - Science & Math » Thread #11712876

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Anonymous Tue 26 May 08:25:34 2020 No.11712876 View Reply Original Report

Quoted By: >>11712878 >>11712912 >>11712919 >>11713470 >>11713546

Theorem: the decimal expansion of ? contains every finite string of digits

true or false?

Anonymous

Anonymous Tue 26 May 2020 08:26:53 No.11712878 Report

Quoted By:

>>11712876
my bad, this is a conjecture, not a theorem. oops

Anonymous

Anonymous Tue 26 May 2020 08:43:57 No.11712905 Report

Quoted By: >>11713362

So it has a Graham's number of zeroes in a row somewhere? Imagine computing pi and encountering that. You'd be pretty fucking spooked

Anonymous

Anonymous Tue 26 May 2020 08:48:45 No.11712912 Report

Quoted By: >>11712926 >>11713586

>>11712876
no

infinite has never meant all including, this is a worthless conjecture

Anonymous

Anonymous Tue 26 May 2020 08:51:46 No.11712919 Report

Quoted By:

>>11712876
no one knows

Anonymous

Anonymous Tue 26 May 2020 08:55:19 No.11712926 Report

Quoted By: >>11713088 >>11713166 >>11713173 >>11713196

>>11712912
But isn't the probability for any finite string to be included literally 1?

Anonymous

Anonymous Tue 26 May 2020 10:28:00 No.11713088 Report

Quoted By: >>11713119

>>11712926
No, why

Anonymous

Anonymous Tue 26 May 2020 10:45:53 No.11713119 Report

Quoted By: >>11713187

>>11713088
The probability you can dodge for example 123456789 for eternity should be 0

Anonymous

Anonymous Tue 26 May 2020 11:13:29 No.11713166 Report

Quoted By:

>>11712926
DID YOU GET THE IMPRESSION THAT THE DIGITS IN PI ARE RANDOM ???

Anonymous

Anonymous Tue 26 May 2020 11:17:01 No.11713173 Report

Quoted By:

>>11712926
Maybe if pi is a normal number (every digit has the same probability of appearing), but that's also a conjecture.

Anonymous

Anonymous Tue 26 May 2020 11:23:17 No.11713187 Report

Quoted By:

>>11713119
Okay, but what is the probablity of that particular string anywhere in pi? You cannot assume that any digit can appear uniformly. You need to show that the probablity of that string is not 0.

Anonymous

Anonymous Tue 26 May 2020 11:29:05 No.11713196 Report

Quoted By: >>11713207

>>11712926
>But isn't the probability for any finite string to be included literally 1?
even if it were the case, probability 1 doesn't mean something is certain

Anonymous

Anonymous Tue 26 May 2020 11:31:27 No.11713204 Report

Quoted By: >>11713326

consider series: 0,00,000,0000...
if op is true, then pi contains every element of the series
but pi is irrational, so there is such element of series, that pi cannot contain
therefore op is a faggot

Anonymous

Anonymous Tue 26 May 2020 11:31:35 No.11713205 Report

Quoted By:

I want to believe it includes "you're a fucking nigger for computing this far, now stop or I'll destroy the universe" in binary somewhere

Anonymous

Anonymous Tue 26 May 2020 11:32:41 No.11713207 Report

Quoted By:

>>11713196
I'm aware of the difference between surely (impossible to not happen) and almost surely (probability = 1 but the inverse is not impossible)

Anonymous

Anonymous Tue 26 May 2020 12:23:39 No.11713326 Report

Quoted By:

>>11713204
pi can be irrational and strill contain every finite string of zeroes you mongoloid

Anonymous

Anonymous Tue 26 May 2020 12:26:15 No.11713335 Report

Quoted By: >>11713546

it doesn't contain 1.pi

Anonymous

Anonymous Tue 26 May 2020 12:36:18 No.11713362 Report

Quoted By:

>>11712905
You wouldn’t be spooked because to find that section you’d need to take the factorial of something close to Graham’s number. It would take a number nearly as long as Graham’s number just to describe where this section is even located. These mind exercises really aren’t that interesting when you really think about it

Anonymous

Anonymous Tue 26 May 2020 13:31:21 No.11713470 Report

Quoted By:

>>11712876
It's a good question. I don't think anyone really knows

Anonymous

Anonymous Tue 26 May 2020 14:10:17 No.11713546 Report

Quoted By:

>>11713335
>finite string of digits
>>11712876
Whether pi's decimal expansion is disjunctive is an open question.

Anonymous

Anonymous Tue 26 May 2020 14:29:26 No.11713586 Report

Quoted By:

>>11712912
i second this, irrational mean that the digits don't repeat periodically, but there's no proof that every finite string of digits should be present

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