/sci/ - Science & Math » Thread #12147175

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Anonymous Tue 22 Sep 00:15:18 2020 No.12147175 View Reply Original Report

Quoted By: >>12147226 >>12147579 >>12149088 >>12149229

Why is it so common?

Anonymous

Anonymous Tue 22 Sep 2020 00:18:03 No.12147182 Report

Quoted By:

It's natural.

Anonymous

Anonymous Tue 22 Sep 2020 00:32:00 No.12147226 Report

Quoted By: >>12147570 >>12147894 >>12149152

>>12147175
It's the integral of a singularity. So anytime you have something varying like 1/x, the integrated effect is this. Turns out 1/x describes lots of things, so you should be asking why that is.

Anonymous

Anonymous Tue 22 Sep 2020 03:02:16 No.12147570 Report

Quoted By: >>12147603

>>12147226
>It's the integral of a singularity
then why isn't -ln(-x) also on the graph, in the 2nd and 3rd quadrants?

Anonymous

Anonymous Tue 22 Sep 2020 03:05:16 No.12147579 Report

Quoted By:

>>12147175
Diminishing returns

Anonymous

Anonymous Tue 22 Sep 2020 03:13:40 No.12147603 Report

Quoted By: >>12147618 >>12147622

>>12147570
it is
the integral of 1/x is ln|x|

Anonymous

Anonymous Tue 22 Sep 2020 03:18:36 No.12147618 Report

Quoted By: >>12147635

>>12147603
>|x|
stupid dumb gorilla nigger fuction
fuck you

Anonymous

Anonymous Tue 22 Sep 2020 03:19:10 No.12147622 Report

Quoted By:

>>12147603
what is the meaning of negative values for x<1? if you are integrating something, you are adding, and you end up in debt? thats odd.

Anonymous

Anonymous Tue 22 Sep 2020 03:22:40 No.12147635 Report

Quoted By: >>12147977

>>12147618
go back

Anonymous

Anonymous Tue 22 Sep 2020 03:34:11 No.12147667 Report

Quoted By: >>12149267

why does 1-exp(-x) seem very different locally but if you zoom out they are very similar? they seem to be related somehow.

Anonymous

Anonymous Tue 22 Sep 2020 05:11:48 No.12147894 Report

Quoted By: >>12148105

>>12147226
>Turns out 1/x describes lots of things
But why though?

Anonymous

Anonymous Tue 22 Sep 2020 05:45:43 No.12147977 Report

Quoted By:

>>12147635
no

Anonymous

Anonymous Tue 22 Sep 2020 07:11:34 No.12148105 Report

Quoted By:

>>12147894
because things are a unity divided?

Anonymous

Anonymous Tue 22 Sep 2020 07:16:20 No.12148118 Report

Quoted By:

All logarithms are equivalent up to some scale factor. So if something is described well by one logarithm its described well by any logarithm.

Anonymous

Anonymous Tue 22 Sep 2020 16:39:41 No.12149088 Report

Quoted By: >>12149105

>>12147175
Why are logarithms considered undefined when x is not real+positive?
$ln(-1) = i\pi$
$ln(-2) = ln(2) + i\pi$
$ln(a+ib) = ln(r) + i\theta$

ln(x) is defined for all $x \in \mathbb{C}$

Anonymous

Anonymous Tue 22 Sep 2020 16:45:26 No.12149105 Report

Quoted By: >>12149136 >>12149142

>>12149088
$log(1) = 0 \\<br />e^{2 \pi i} = 1 \\<br />log(e^{2 \pi i} = log(1) \\<br />2 \pi i \neq 0$
the complex logarithm is a multi-valued function. it is not "undefined" as you say, but you're free to evaluate it using an infinite number of possible solutions.

Anonymous

Anonymous Tue 22 Sep 2020 16:54:24 No.12149136 Report

Quoted By: >>12149156

>>12149105
Just like inverse trigonematric functions? those are weird, like you could choose any Pi long interval for your range and you get different answers.

Anonymous

Anonymous Tue 22 Sep 2020 16:56:13 No.12149142 Report

Quoted By: >>12149156

>>12149105
>complex logarithm
>posts a real positive example

Anonymous

Anonymous Tue 22 Sep 2020 17:00:19 No.12149152 Report

Quoted By: >>12149157 >>12149162 >>12149168 >>12149172 >>12149178 >>12149183

>>12147226
>Turns out 1/x describes lots of things
please name one that has been observed and measured.

Anonymous

Anonymous Tue 22 Sep 2020 17:01:33 No.12149156 Report

Quoted By:

>>12149136
yep
just like with inverse trig functions where you implicitly assume as quadrant, when you evaluated your complex logarithm you implicitly assumed a "branch" of the complex log function
in reality $log(-1) = i \pi + 2 \pi i k$ for an integer k
>>12149142
> 2 pi i is real

Anonymous

Anonymous Tue 22 Sep 2020 17:02:35 No.12149157 Report

Quoted By:

>>12149152
the potential due to gravity and coulomb force

Anonymous

Anonymous Tue 22 Sep 2020 17:04:16 No.12149162 Report

Quoted By:

>>12149152
distance from the observer vs size of the object
everything that shrinks as the independent parameter grows.

Anonymous

Anonymous Tue 22 Sep 2020 17:05:13 No.12149168 Report

Quoted By: >>12149174 >>12149191 >>12150655

>>12149152
total happiness you've brought to the world as a function of time

Anonymous

Anonymous Tue 22 Sep 2020 17:06:06 No.12149172 Report

Quoted By:

>>12149152
the ohms low, if V is constant.

Anonymous

Anonymous Tue 22 Sep 2020 17:06:36 No.12149174 Report

Quoted By:

>>12149168
Big oof

Anonymous

Anonymous Tue 22 Sep 2020 17:07:32 No.12149178 Report

Quoted By:

>>12149152
speed as a function of distance and time. as time increases for the given distance, the speed goes down according to 1/x.

Anonymous

Anonymous Tue 22 Sep 2020 17:08:37 No.12149183 Report

Quoted By: >>12149272

>>12149152
Every physical phenomena that can be described by a formula with division. So literally everything.

Anonymous

Anonymous Tue 22 Sep 2020 17:10:51 No.12149191 Report

Quoted By: >>12149192

>>12149168
what if youre a toymaker or some shit

Anonymous

Anonymous Tue 22 Sep 2020 17:11:16 No.12149192 Report

Quoted By: >>12149203

>>12149191
I meant the anon asking the question, specifically

Anonymous

Anonymous Tue 22 Sep 2020 17:13:29 No.12149203 Report

Quoted By:

>>12149192
fascinating

Anonymous

Anonymous Tue 22 Sep 2020 17:23:51 No.12149229 Report

Quoted By: >>12149275

>>12147175
We don't know, science is bogus, everything is based on an unsolvoable differential equation for phenomena that are barely understood. and all we can do is numerical approximation.

Anonymous

Anonymous Tue 22 Sep 2020 17:36:16 No.12149267 Report

Quoted By:

>>12147667
https://www.wolframalpha.com/input/?i=1-exp%28-x%29-ln%28x%29+x+from+0+to+500

How is it the same ? Ln(x) diverges and your function converges to 1.

Anonymous

Anonymous Tue 22 Sep 2020 17:37:32 No.12149272 Report

Quoted By:

>>12149183
Or a linear law, if you take the inverse

Anonymous

Anonymous Tue 22 Sep 2020 17:38:34 No.12149275 Report

Quoted By: >>12149308

>>12149229
Go back to being a caveman then, since numerical approximations and science are bogus

Anonymous

Anonymous Tue 22 Sep 2020 17:53:48 No.12149308 Report

Quoted By: >>12151361

>>12149275
>Triggered.

It's not science that got us out of the stone age, it's engineering.

Anonymous

Anonymous Wed 23 Sep 2020 01:31:12 No.12150655 Report

Quoted By:

>>12149168
kek

Anonymous

Anonymous Wed 23 Sep 2020 06:14:32 No.12151361 Report

Quoted By:

>>12149308
>it's not science, it's the application of science

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