/sci/ - Science & Math » Thread #11588235

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Anonymous Tue 21 Apr 15:54:18 2020 No.11588235 View Reply Original Report

Quoted By: >>11588710 >>11588729 >>11588765 >>11590700 >>11590760

hey kid, why can't I converge to an irrational number on the number line using binary search?

Anonymous

Anonymous Tue 21 Apr 2020 18:32:12 No.11588710 Report

Quoted By:

>>11588235
Why shouldn't you?

Anonymous

Anonymous Tue 21 Apr 2020 18:35:58 No.11588729 Report

Quoted By: >>11590700

>>11588235
because its infinite

Anonymous

Anonymous Tue 21 Apr 2020 18:47:44 No.11588765 Report

Quoted By: >>11588769

>>11588235
Let $\varphi_e$ be the $e^{\text{th}}$ Turing machine. Define a binary real $x$ so that $x(e)=1$ if and only if $\p_e(n)$ halts for every number $n$ . This real is not enumerable.

Anonymous

Anonymous Tue 21 Apr 2020 18:48:46 No.11588769 Report

Quoted By: >>11590739

>>11588765
type $\varphi_e(n)[\math]$

Anonymous

Anonymous Wed 22 Apr 2020 07:15:46 No.11590700 Report

Quoted By:

>>11588235

Because Bill Clinton is a rapist>>11588729

Anonymous

Anonymous Wed 22 Apr 2020 07:28:02 No.11590739 Report

Quoted By:

>>11588769
$\varphi_e(n)$
Optimized.

Anonymous

Anonymous Wed 22 Apr 2020 07:45:16 No.11590760 Report

Quoted By:

>>11588235
>why can't I converge to an irrational number on the number line using binary search?
You can.

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