/sci/ - Science & Math » Thread #14215684

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Anonymous Fri 11 Feb 03:18:16 2022 No.14215684 View Reply Original Report

Quoted By: >>14215819 >>14216197 >>14216201 >>14217155 >>14217164 >>14217213 >>14222650 >>14222664

Does anyone have an examples of two integers that have a golden ratio? I keep googling to try and find an example but all I get is normie tier “I freaking love science!” articles.

Anonymous

Anonymous Fri 11 Feb 2022 03:33:17 No.14215819 Report

Quoted By:

>>14215684
Zero is an example $0 = \Phi 0$ . Do you want two integers $p$ and $q$ , not zero such that $p = \Phi q$ . Then $\Phi = \frac{p}{q}$ so that $\Phi$ is rational. However. $\Phi$ satisfies $\Phi^2 - \Phi - 1 = 0$ so that $\Phi = \frac{ 1 + \sqrt{5}}{2}$ . $\sqrt{5}{2}$ is irrational and $\frac{1}{2}$ is rational so that $\Phi$ is irrational. This is a contradiction. Therefore there are no non-zero integers $p,q$ such that $p =\Phi q$

Anonymous

Anonymous Fri 11 Feb 2022 04:56:11 No.14216197 Report

Quoted By: >>14217150

>>14215684
161,803 and 100,000

Anonymous

Anonymous Fri 11 Feb 2022 04:59:01 No.14216201 Report

Quoted By:

>>14215684
the absolute state of IFHS retards

Anonymous

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Anonymous Fri 11 Feb 2022 13:01:40 No.14217150 Report

Quoted By: >>14217209

>>14216197
Nope, root 5 isn't rational. But you can take this list of numbers, pick one, divide by the previous one and get an approximation.

Anonymous

Anonymous Fri 11 Feb 2022 13:04:34 No.14217155 Report

Quoted By:

>>14215684
>ratio of two integers
>irrational
This is high school level science

Anonymous

Anonymous Fri 11 Feb 2022 13:08:17 No.14217164 Report

Quoted By:

>>14215684
there is only one golden ratio, what do you mean "a" golden ratio? Are you asking if there are two integers divided by each other that will result 0.112358?

Anonymous

Anonymous Fri 11 Feb 2022 13:21:14 No.14217208 Report

Quoted By:

The golden ratio ? is actually the hardest number to approximate by rationals:
https://en.wikipedia.org/wiki/Continued_fraction

Anonymous

Anonymous Fri 11 Feb 2022 13:21:34 No.14217209 Report

Quoted By: >>14218680

>>14217150
https://youtu.be/sj8Sg8qnjOg
Why the integers have to be so big to get good approximations for the golden ratio.

Anonymous

Anonymous Fri 11 Feb 2022 13:22:09 No.14217213 Report

Quoted By:

>>14215684
How do you not know what an irrational number is? This board is full of underage fags jfc

Anonymous

Anonymous Fri 11 Feb 2022 21:08:49 No.14218680 Report

Quoted By:

>>14217209
https://youtu.be/CaasbfdJdJg

Anonymous

Anonymous Sat 12 Feb 2022 23:04:59 No.14222650 Report

Quoted By:

>>14215684
Great meme! kek

Anonymous

Anonymous Sat 12 Feb 2022 23:12:13 No.14222664 Report

Quoted By:

>>14215684
Why share a science meme for a mathematics query? Mathematics isn't science.

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