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Archived threads in /sci/ - Science & Math - 376. page

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Why is it that nobody can ever give a straight answer to "why is pure mathematics worthwhile?"

You'd think that having to write out entire essays to defend your field would be a big red flag that your field is complete bullshit.
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Just a way for white bitches to pat themselves on the back for thinking about bullshit while people of color are getting gunned down in the streets by cops and lead poisoning from corrupt governments.
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>>9004019
or is it that blacks lack the mental capabilities for such abstract thinking?

what is the answer, A or B....fight out next time on

4chan
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How straight of answer do you want? Are examples like cryptography not convincing enough?

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so im about to start @ university, should i study mathematics or chemistry ?
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>>9009723
Maths
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>>9009723
chemistrys
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>>9009727
10/10 would joke again

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At this point it's a given we pretty much agree that there is plenty of life in Europa and other moons.
So what do you think they will look like, and are they intelligent?
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I agree. Just because there's a complete lack of evidence for life and quite strong evidence against it, such as the Fermi paradox, doesn't mean I will abandon my conviction that life must be out there. I refuse!
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>>9008611
absence of evidence is not evidence of absence
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>>9008613

Well said, my dear darling microcephaloid.

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Consider the following:

1- Imagine there are 8 people (and a midget) in a room. A grenade blows up in this room. And only one person dies. The grenade is the space dust that gave birth to life. The people are the planets. Another analogy: On low tide, put 8 sticks and a smaller stick lined up on the beach. On high tide, see the waves come and drown the sticks. When tide goes low again, you'll notice only one of the sticks is wet. Again, the sticks are the planets, and the waves are the space dust blown by far away stars, that gave birth to life.
2- Earth was the least suited place for life in the first place. It only has some elements key to sentient life forms developing (such as oxygen), because life spawned here in the first place. Before life, Earth was way worse than, say, Mars. Earth has the strongest gravity out of the rocky planets, a very thin crust when other planets/moons have thicker crusts and even deeper oceans (which means more room for life to develop), and so on.
3- Why did all the meteors hit Earth? Why did all those convenient meteors carrying tons of water and gnarly space ingredients hit Earth, when there are far bigger planets like Jupiter and Saturn with much stronger gravitational fields? If meteors hit Earth, then other similar meteors that can help life spawn should have hit other planets, from Venus to Pluto.
4- How did Earth even end up different from the other rocky planets? When you look at the rocky planets - Mercury, Venus, Mars, they are all red rocks with many similarities. Yet there is Earth, right in the middle of them, that was astronomically lucky to get life. If Earth got life, then where is life on the other rocky planets? It's like finding 1 blue ladybug among 4 ladybugs that should all be red, and not be surprised.

I could go on and on, but the character limit won't let me. To me the conclusion is either life is WAY more common than thought, or there is something else beyond simple Astrophysics, like aliens or god.
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Pic related
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>>9007523

An outlier in a set of data does not need God.

You can't speak of luck because you don't have the data of quadrillions of worlds.

The best position is agnostic. You simply don't have enough data.
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What makes you think "all the meteors hit Earth"? You sound like a retard suggesting it would be so.

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I am out of the loop but is Moore's Law really ending?
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>>9007380
It has already ended you brainlet
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>>9007380
it's been ending for the last 30 years brah

>>9007386
>wrong
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>>9007389
Okay. I guess 'stopped' would have been a better word. IIRC, it was slowing down but I was not sure if it had stopped yet or still slowing.

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What is the best subject to study in light of the coming second machine age/automation/AI? I had played with the idea of going to school to study medicine and surgery, but now i hear that robots are just as good, if not better than doctors at some tasks, and the list of robot/AI assisted tasks is only going to get longer. I like math, so I'd be okay with studying that, but I'd like to know before I invest 4-8 years of my life.
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>>9007180
>second machine age/automation/AI
If you're good at math (by which I mean proof-based math, not "I'm good at remembering formulas and can calculate really fast") you can study all the CS you need in your own time.

Choose a field you like that you think offers opportunities for automation, and specialize in that to acquire domain knowledge, supplemented with math/computing/engineering courses as you deem relevant.

Medicine has had a long and distinguished history of utilizing statistical techniques, so if that's your passion then you could try getting into machine learning, for example.
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>>9007202
I was thinking of trying to position myself to be a part of the big data meme in medicine, since I like the idea of helping people, but also enjoy the 'bird's eye/systems level' view that doing automation/machine learning/big data would provide. My basic plan was to do an undergrad in applied math, study Python, C, Java, SQL and public speaking/communication on my own time, and then either go for a masters degree in mathematics, a medical degree, or start working my way up in a big data business.
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>>9007209
Well it really comes down to what kind of job you see yourself doing after you get your degree.

If I were in your position, I wouldn't be so quick to commit completely to math (though I understand the inclination, since I had the same idea initially). Having acquired what is essentially a double major in a math + non-math subject (economics), I've found that the latter opens a lot of doors that the "pure" math majors don't get. Apparently employers like it when you have the domain knowledge to understand which of their problems are solvable using the stuff you've learnt.

But then again, this is 4chan so you trust me at your own peril.

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So when biological immorality and age extension is possible people will flock to do the process at a highly inflated price. Many people will probably opt to take large loans to be able to afford the costly procedure, thus leaving to large-scale debt inflation like we see in education now without the benefits of an educated workforce that education gives.

How will financial regulators stop this? will this lead to any far reaching implications on the economy?
19 posts and 2 images submitted.
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>How will this be stopped

Put down laws and invest political capital or be replaced someone who will.

Of course systems are already in place for that if you dont live a shithole called US
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are you kidding? they WANT you to take out huge loans so they can criminalize you. Debt is guaranteed work, then you just get to give them whichever work you need done. They NEED the cash now.
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>>9006875
And what if thet just pull a china?

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I tried posting this in /x/ but it wasn't about summoning a succubus waifu so it got pruned the moment it gained any traction.

Subatomic particles spontaneously form self aware beings if left to collude for an absolute upper possible maximum of thirteen billion years.

Isn't this proof of an organizing factor in the universe geared toward creating consciousness or perhaps refining consciousness ?

Any universe where this is not the case is entirely hypothetical and may not be possible.
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>>9006042
either cite sources or go back to /x/
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>>9006042
>Subatomic particles spontaneously form self aware beings if left to collude for an absolute upper possible maximum of thirteen billion years.
According to what? One sample? No.

>Isn't this proof of an organizing factor in the universe geared toward creating consciousness or perhaps refining consciousness ?
You didn't give any proof.
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>>9006080
Find me data suggesting it's even possible that this isn't the case. I'll wait.

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Fuck /adv/ and fuck this stupid rule. What the fuck do a bunch of "tfw no gf" neets know about academia or industry?

How do I get into undergraduate research? Fuck the mods.
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>Reminder: /sci/ is for discussing topics pertaining to science and mathematics, not for helping you with your homework or helping you figure out your career path.

>If you want advice regarding college/university or your career path, go to /adv/ - Advice.
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>>9005570
Look at the professors for your major and check their pages and whatever. Some advertise undergrad research on there. You could also try to ask professors from your classes, but this is more random as they might not even want students desu.

Also, I dont know get why uni threads are discouraged, it is nice to see where fellow mongoloids attend and what they study. Also career path shit is science related fuck you mods.
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goodbye

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Are infinite numbers (π, ∞, 2/9, etc) proof that this Universe is not a simulation?
How would an otherwise finite Universe (our simulation) be made of infinite numbers?
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>>9005399
They are conceptual, there is no irrational number in the wild so no. A computer program can easily simulate a circle even if pi is irrational.
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>>9005411
But every computer only works within a certain amount of digits. For example, if you are using a 64 bit computer right now, the computer can work with, at best, 2^64 digits of π.
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>>9005399
9 > 1
>>9005411
Therefore OP is right.

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Hey /sci/, I have a very specific question. Is it possible to make an internal combustion engine that meets all of the following?

>2-stroke
>naturally aspirated
>carbureted (no fuel injection, electrical or mechanical)
>crankcase scavenged
>multiple cylinders sharing the same crankcase
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you just described me buddy
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>>9004912
Why? Internal combustion engines are absolutely science related.
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>>9004879
Yea it's called a fucking lawn mower

Horoscopes are widely considered to be bullshit. However, I've noticed a trend with it being common for anons to be born in the middle of June, sharing some common traits. It's not an exceptionally common birth month, and there's no seasonal variation for prevalence of autism.
Common traits:
>underweight or at least skinny
>beta, low testosterone
>high functioning autism or at least socially awkward
>above average IQ
Is there anything special happening in the middle of September making certain types of parents have kids then?
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>>9004409
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>>9004415
No, this would be Gemini.
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>>9004409
I'm Gemini & I have all these traits

Very underweight & skinny. Bad in Sports.

AspergeLord studying Electrical Engineering.

I'm Very Autistic & good at Math & Physics.

I believe in the Laws of Science but It's strange that all Gemini traits match so perfectly, that it makes me think..... that it should not be coincidence.

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Do you enjoy speculative evolution?
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Wayne Barlowe > all
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>>9004239
Barlowe and After Man for an upbeat happy alien feel.

All Tomorrows and Man After Man for interesting existential dread.
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>>9004238
Sure, who doesn't enjoy Making Shit Up?

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Where with NZT I mean something that makes you exponentially more capable.
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I've read of a dude who got smarter meddling with his hyperbaric chamber.
Then being conscious in your dreams like composing music there.
Others?
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>>9004201

Magic.
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I dont mean to sound like a fatalist, but it's very hard to improve cognitive ability and very easy to wreck it. Just use what you have, and be happy you're not dumber. Intelligence depends mostly on brain structure, not chemicals, so it isn't something you can artificially improve in the long-term.

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Math general - cute duckie edition
>what are you studying?
>any cool problems?
>any cool theorems or remarks?
>reference suggestions?
>???
375 posts and 116 images submitted.
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>>9002320
>What are you studying?

I'm trying to do a few things (probably too many at once desu...). I'm reading through Alfhor's complex analysis book, Brin and Stuck's Dynamical Systems book, and I'm giving multivariable analysis a second pass using Multidimensional Real Analysis by Duistermaat and Kolk.

>Cool theorems?

A Besicovitch cover of a subset [math]A \subset \mathbb{R}^n[/math] is a collection of balls [math]\mathcal{B}[/math] such that for each point [math]x \in A[/math], there is a ball in [math]\mathcal{B}[/math] which is centered at [math]x[/math].

Besicovitch covering theorem asserts that given a bounded set [math]A \subset \mathbb{R}^n[/math] and a Besicovitch cover [math]\mathcal{B}[/math], there is a constant [math]c[/math] depending only on the dimension [math]n[/math], and subcollections [math]\mathcal{B}_1, \dotsc, \mathcal{B}_c[/math] of [math]\mathcal{B}[/math], such that each [math]\mathcal{B}_i[/math] is pairwise disjoint, and [math]A \subset \bigcup_{i=1}^c \bigcup_{B \in \mathcal{B}_i} B[/math].

The constant [math]c[/math] given in the proof is [math]5^n[/math]. Interestingly, optimising this constant is open in general, we don't even really know the rate at which it grows.

>Problems

I have two simple problems relating to this theorem.
1. Show that in the case n=1, we have c = 2.
2. Show that in the case n=2, c > 4.

>References
If you're interested in this, check out Geometry of Sets and Measures in Euclidean spaces by Mattila.
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>>9002320
Very bad OP.
>what are you studying?
Same shit as always.
>any cool problems?
As I've elaborated previously, I may be able to construct a correspondence between TQFTs a la Atiyah with CFTs by cutting up and assigning link components in decorated 3-manifolds to marked points the space conformal blocks are on. However the process of "cutting up" these decorated 3-manifolds wasn't precisely defined in the context of space structures. Turaev was able to precisely define a version of this cutting up called "excision" on 2-manifolds instead, and I intend on working to extending this to 2-surfaces.
>any cool theorems or remarks?
Wentzl's limit for the quantum invariant of unitary TQFTs over a semisimple category [math]\mathscr{V}[/math] with fundamental object [math]V_l[/math]: [eqn]\tau(M) = \Delta^{\sigma(L)}\mathscr{D}^{-\sigma(L) + m -1} \lim_{N\rightarrow \infty}\frac{1}{N^m}\left[\sum_{\lambda \in \{1,\dots,N\}^m}(\operatorname{dim}(l))^{-|\lambda|} F(L^\lambda_l)\right]. [/eqn]
It's very interesting that a mostly algebraic quantity can be calculated with analysis. It has a very nice proof too.
>reference suggestions?
Nayak's paper is very nice for quantum braiding algebras.
>>
>Reading through Liu's Algebraic Geometry and Arithmetic Curves and reviewing commutative algebra
>Completely unrelated questions but things I have been asked/have had to think about: 1) Let [math]\phi[/math] be Euler's totient function. Prove that [eqn]\phi(n) = \sum_{k=0}^{n-1} gcd(n,k)e^{2\pi i k}{n}[/eqn]. 2) Prove that the Fourier transform [math]\mathcal{F}: L^1(\mathbb R) \to C_0(\mathbb R)[/math] is not onto. 3) Prove that the convex hull of a compact set is compact in a finite-dimensional real vector space
>Noether's lemma: If A is a finitely-generated K-algebra (for a field K), then you can find an algebraically independent family [math]t_1, \dots, t_n \in A[/math] such that A is integral over [math]K[t_1, \dots, t_n][/math]. Using this, you may answer the apparently dumb question: why can't I find two algebraically independent polynomials in K[T] ? (which I just realized today is absolutely non-trivial)

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