/sci/ - Science & Math

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Anonymous Sun 06 Feb 01:36:42 2022 No.14192255 View Reply Original Report

Quoted By:

how do i become a vaccine?

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Anonymous Sun 06 Feb 01:27:04 2022 No.14192215 View Reply Original Report

Quoted By: >>14192222 >>14192252

If the Earth is travelling through space how do we have fixed stars in the sky that never change position?

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How can it be demonstrate that p^n = p^n-1 + p^n-2 ... + p + 1?

Anonymous Sat 05 Feb 17:25:15 2022 No.14190293 View Reply Original Report

Quoted By:

Anonymous

Anonymous Sat 05 Feb 2022 17:29:07 No.14190306 Report

Quoted By: >>14190328 >>14192194

$\displaystyle \boxed{0 p^n-1 = (p-1)(p^{n-1}+p^{n-2}+ \dots +p+1) \\ \dfrac{p^n-1}{p-1} = \sum \limits_{j=0}^{n-1}p^j \\ \displaystyle \lim_{n \to \infty} \dfrac{p^n-1}{p-1} = \lim_{n \to \infty} \sum \limits_{j=0}^{n-1}p^j \\ \displaystyle \dfrac{0-1}{p-1} = \sum \limits_{j=0}^{\infty}p^j \implies \dfrac{1}{1-p} = \sum \limits_{j=0}^{\infty}p^j $

Anonymous

Anonymous Sat 05 Feb 2022 17:35:08 No.14190328 Report

Quoted By:

>>14190306
Sorry, I meant to write ">", not equal

Anonymous

Anonymous Sun 06 Feb 2022 00:24:09 No.14191991 Report

Quoted By:

What is given?
p? or n?
either way you may use mathematical induction

Anonymous

Anonymous Sun 06 Feb 2022 01:23:20 No.14192194 Report

Quoted By: >>14192250

>>14190306
$p^n = p^{n-1} ... + p + 1$
$p^n - p^{n-1} ... - p = 1$
p is either prime or divisible by numbers $a,b$
If p is prime, then $p^n-p^{n-1}...-p$ is divisible by p, yielding $p^{n-1}-p^{n-2}...- p - 1$ .
Therefore 1 must be divisible by $p$ which is not possible.
The same proof applies to $a,b$ therefore p can't be a natural number.
If p is a fractional number, set $p = \frac{a}{b}$
$\frac{a^n}{b^n} = \frac{a^{n-1}}{b^{n-1}}+ ... + \frac{a}{b} + 1$ . Multiply by $b^n$ .
$a^n = a^{n-1}b+ ... + ab^{n-1} + b^n$
$a^n - a^{n-1}b- ... - ab^{n-1} = b^n$
Suppose that $a,b$ are relatively prime to each other.
Then dividing the left side by $a$ yields the desired contradiction.
If $a,b$ are not relatively prime, divide all the shared factors yielding the relative primes $c,d \rightarrow$
$c^n = c^{n-1}d+ ... + cd^{n-1} + d^n$ .
Therefore, p can't be a rational number either. p is thus can only be an irrational number for any n.

Anonymous

Anonymous Sun 06 Feb 2022 01:34:49 No.14192250 Report

Quoted By:

>>14192194
We know that p can't be rational. More generally

$\frac{p^n-1}{p-1} = \sum_{j=0}^{n-1}{p^j}$
$\frac{p^n-1}{p-1} = p^n$
$p^n-1 = p^{n+1}-p^n$
$2p^n = p^{n+1}+1$

The solution of $2p^n = p^{n+1}+1$ yields the solution for $p^n = p^{n-1}+p^{n-2}+p+1$

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Anonymous Sun 06 Feb 01:25:34 2022 No.14192206 View Reply Original Report

Quoted By: >>14192225 >>14192247

Is the universe just a really large matrix?

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Canadian Science

Anonymous Sat 05 Feb 04:59:52 2022 No.14188543 View Reply Original Report

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>Washington Post: Canada must confront the toxic, anti-science ‘Freedom Convoy’ head-on
https://www.washingtonpost.com/opinions/2022/01/28/canada-must-confront-toxic-protest-freedom-convoy/

What is /sci/ opinion of the Canadian Trucker protests, it is anti-science and should it be stopped?

32 posts and 12 images omitted

Anonymous

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Anonymous Sat 05 Feb 2022 22:49:26 No.14191657 Report

Quoted By: >>14192245

>>14191339
Trannies from sites like reddit.com/r/4tran have been organizing brigade propaganda spam attacks on /sci/ and lots of ppl can't seem to tell the difference between their spam and the rest of the content here.

Anonymous

Anonymous Sat 05 Feb 2022 23:58:40 No.14191914 Report

Quoted By:

>>14191339
If you want to convince the average person, you need to realize that they trust the (corrupt) institutions. They find it unimaginable that these institutions would be actively malicious against their own people.
If you want to free their minds, you have to undermine that trust. You do this with repeated exposure over time with clear and easily understood examples of institutions being malicious. Once they have a basis of understanding, you can start to apply it to the current context.

Anonymous

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Anonymous Sun 06 Feb 2022 00:27:21 No.14192004 Report

Quoted By:

Pet Shop Boys tried to warn us.
https://www.youtube.com/watch?v=61ocE12lWOs

Anonymous

Anonymous Sun 06 Feb 2022 01:32:35 No.14192236 Report

Quoted By:

>>14189488
The middle class is working class

Anonymous

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Anonymous Sun 06 Feb 2022 01:34:00 No.14192245 Report

Quoted By:

>>14191657

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Economy

Anonymous Sun 06 Feb 01:21:37 2022 No.14192187 View Reply Original Report

Quoted By: >>14192213

>the "economy"
Can someone explain how this shit works? I'm losing my mind here.
Who is creating all this "value" while income disparity and the threat of poverty is so high? Why are we "working" so hard for so little, and becoming so "educated" while most new college grads can't really do anything? Most jobs are essentially welfare with extra steps, or solely benefit a few rich people who are subsidised by their work and taxes. I feel like something is not adding up here.

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Anonymous Sat 05 Feb 23:06:21 2022 No.14191710 View Reply Original Report

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How to calculate the intensity and direction of a magnetic field at any x,y,z point in space around an electromagnet?

I need it for a science experiment

2 posts omitted

Anonymous

Anonymous Sat 05 Feb 2022 23:12:20 No.14191734 Report

Quoted By:

>>14191729
FEM using galerkin method

Anonymous

Anonymous Sat 05 Feb 2022 23:14:45 No.14191747 Report

Quoted By:

i'll add that it's not hard to give a current and compute what fields it produces, but it is hard to compute the results of the field interacting with matter and exciting additional currents. typically you make a lot of assumptions to make the math tractable, or you formulate a finite element method (or perhaps finite difference method) and solve the system from there.

Anonymous

Anonymous Sun 06 Feb 2022 00:49:39 No.14192071 Report

Quoted By:

>>14191720
>unless you are using a simple geometry
what about simple coil like pic rel then?

Anonymous

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Anonymous Sun 06 Feb 2022 01:04:20 No.14192109 Report

Quoted By: >>14192179

a few years ago I knew how to do this shit, but I kinda lost touch with electromagnetism

First of all you need to go with polar coordinates
you'll need to solve something that looks like picrel, it's not that hard but takes some time if you're new to it

Anonymous

Anonymous Sun 06 Feb 2022 01:19:39 No.14192179 Report

Quoted By:

>>14192109
this is B field of point magnetic dipole in a linear homogeneous isotropic medium

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Learn

Anonymous Sun 06 Feb 01:16:59 2022 No.14192165 View Reply Original Report

Quoted By: >>14192176

hi guys, i'm trying to learn deep learning and a friend told me that i would need near doctorate level in math to be truly good
i have a high school Scientific spécialisation level in math and would be interested in what you suggest i should study to go forward

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Anonymous Sun 06 Feb 01:11:41 2022 No.14192148 View Reply Original Report

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>I am smart

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What consumables do you consume to make your self smarter?

Anonymous Sun 06 Feb 01:09:14 2022 No.14192133 View Reply Original Report

Quoted By: >>14192140

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How can it be demonstrate that p^n = p^n-1 + p^n-2 ... + p + 1?

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