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Archived threads in /sci/ - Science & Math - 238. page
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I'm going to be interviewed by a flight academy in 10 hours, tell me random facts about planes and why they fly.
>>
they have wings and spinny things and nice ladies who make you tea whenever you want
>>
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>>8185808
they go really fast
>>
They're basically giant paper airplanes that create their own wind.

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The whole worlds fucking backwards and it's terrifying. I just want everywhere to unite and do more science shit, facing real issues.
>>
urgh u scientists are nothing but dumb idiots

>no art
>no justice
>no equality
gibs me dat money you fucking bigot, stop using it for your racist, deadly "research", and stop contaminating my food supply with GMOs
>>
>>8185694
That genuinely sounds boring.
Real issues aren't strictly science-related.

>edge the edgehog
>>
No. Kill niggers.

What does K^Aut(K/F) mean?
>>
>>8185682
Aut is for autistic
K/F is for Kentucky Fried
>>
>>8185719
What is this? /pol/..?
That's Aut for gold/time, K for Potassium and F for Fluorine. Galois was a master alchemist back in the day.
>>
>>8185682
Aut(K) is the autism group of the field K.

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let V be a finite dimensional C-vector space and denote by Sym(d,V) the d-fold symmetric tensors, ie Sym(d,V) is the dth-symmetric power of V.

This is in a natural way a GL(V) representation.
How do I show that it's irreducible?
>>
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>>8185669
if the matrix A has distinct EigValues x1,...,xn and v1,...,vn is a basis of V consisting of EigVectors of A, the the induced endomorphism on Sym(d,V) has EigVectors and values
$x_{i_1}, \hdots ,x_{i_d}$
$v_{i_1}, \hdots,v_{i_d}$
for all sequences
$i_1 \leq \hdots \leq i_d$
>>
>>8185731
and if W is a subrepresentation of Sym(d,V), then it must be spanned by a subset of these eigenvectors.
>>
>>8185731
of course eigenvals are
$x_{i_1} \cdot ... \cdot x_{i_d}$
eigenvectors
$v_{i_1} \cdot ... \cdot v_{i_d}$
for all sequences
$i_1 \leq ... \leq i_d$

Do any of you /sci/ mathematicians find pleasure in reading poetry?
>>
only if it's depressive and nihilistic as fuck
if it's some love shitty bullshit i get bored very easily
>>
>>8185524
I'm the exact opposite
>>
>>8185514
yes of any kind. be it sexual, be it about love, be it about hate, or whatever.

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What is /sci/ opinion on physicists again?
>>
Engineers without the perverted sexual deviancy
>>
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GOAT tier, together with mathemagicians on the top of the pyramid.
>>
>>8185491
It is the shitstain between engineering and mathematics. Neither is it aplied enough to make real world applications as in engineering, nor is it pure enough to reach the rigor as in mathematics. Hence physics is a fail.

How can I predict human nature (actions, thoughts, feelings, etc.) using mathematics?

I can, for example, calculate their average speed while they're running or even their instantaneous speed. However, I'm struggling to calculate their next move or what decision they've made at a particular instant in space and time.

Equations for their actions:
v=s/t , if human is running.
...
Equations for their thoughts and emotions at a particular instant in time:
...
Equations for what decisions they're going to make at a particular instant:
...
Etc.

>>
graphs are used to model all kinds of things.
humans are a really complex to graph though. I doubt you'll make a complete one.
>>
>>8185444
So it's an impossible project that I should not bother pursuing?
>>
I predict with a 99.6% that you have autism

0.4% that you are just a clever shitposter

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Is time a concept humans created?
>>
>>8185376
No.
>>
no, but the way we measure time is a human concept
>>
>>8185376
Time as you experience it, yes. Time as itself, no. If you ask if your perception of time is somewhat false, then the answer is again yes.

And by the way, every concept is human created. Things themselves, if any, are not.

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>tl;dr I would like you to suggest, if possible, the best textbooks to learn Math from the very beginning. I will initially be learning alone, without teachers, so keep that in mind. In the future, however, I pretend to start taking seminal classes too.

First of all, I apologize for my bad English.

I was always terrible at Math in school. Not only I was not endowed with a natural gift for the subject, but also (and this is the most important thing, I suspect; the “natural gift” is mostly overrated, I guess) I did not had the will...
>>
>>8185331

However I realize now that, even though I will never do anything valuable in any field of science, still I find physics, chemistry and biology extremely interesting, and I would love to develop a more profound knowledge of these areas. The problem is: without knowledge of math, I know that my study of physics will be fruitless (I will only learn the verbal part of it, the things you can find in popular-science books). With that in mind, I decided to start learning mathematics again, first by myself.

I will...
>>
Basic Mathematics by Strang
Calculus by Spivak
Linear Algebra done Right by Strang
Advanced Calculus by Loomis and Sternberg
Principles of Real Analysis by Rudin
Algebra by Artin

do all the problems

there now you are ready to start your pure maths master program in a specific area of study
>>
>>8185361

thank you very much

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Could anyone explain to me why the fuck it looks like there's white dots around Jupiter?
>>
Moons
>>
wtf are you doing in this board if you cant indentify a fuckin moon? THE NAMES ARE EVEN WRITTEN
>>
>>8185292
>>8185296
My niggas, I mean the white dots near Jupiter not the moons.

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How to lay out a personal research schedule in mathematics?
By "personal" I mean not necessarily tied to reports to "authorities".

Do you always usually fragment the work into chunks, with dates where you want to produce what sort of result, and do you schedule literature time?
>>
bump?
>>
>>8185263
If you ever read any formal texts, topics always culminate in a 'master equation,' with the prior equations in the topic being inculcated into this equation. Memorize it, and be able to use it for every topic it applies to. The 'integration' half of the text will have you using these equatiins in tandem or on subjects that might surprise you in how they fit.
>>
>>8185263
From someone who almost exclusively self-studies: don't schedule anything. Just set aside as much time as you are willing to invest each day, and start reading stuff that piques your interest. The second your interest has fled, you ought to start learning another math thing (perhaps related to the last). Keep following your sincere curiousity, and everything else will fall into place.

Also, keep a notebook to scribble down your own ideas. Anybody can do math research, and you will mature in extraordinary...

what is the evolutionary advantage of men wanting to be alone when under stress?
>>
>>8185094
They are able to think things through without any distractions.
>>
>>8185094

>for each universal trait of a species there exists a condition for which such a trait is selectively advantageous

this is not true anon
>>
>>8185094
Have you ever tried to think with a nagging woman around? It's nearly impossible.

;)
>>
The Rieman Hypothesis: Solved!

;)
>>
>>8185059
>>8185065

>>
next level shitpost kek

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What's Gödel's incompleteness theorem? And what importance does it have?
>>
>>8185041
Basically says for a system of axioms sufficiently powerful enough to express arithmetic there are true statements that cannot be proven in the system. It's a mathematical result on the limitation of foundational issues.
>>
>>8185060

>there are true statements that cannot be proven in the system

should be

>there are statements in the language of that system which cannot be proven/disproven
>>
>>8185060
Can you provide an example?

Synthetic dopamine when?
>>
>>8184988
L-DOPA
>>
>>8185080
this...
>>
What would be the point?

Also, there are lots of dopamine receptor agonists.

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What is the most redpilled studying technique/resource?

Method of Loci isn't good for actually learning useful things.

Spaced repetition is decent.
What's under the rabbit hole of learning?
>>
studying with other people and making sure that both are at same pace.
>>
>>8184966
Study groups don't work.
>>
Subscribe to YT channels that deal with that topic.

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What do you think about the Fibonacci sequence?
>>
>>8184933
its cool i guess

>>
fake and gay
>>
It's a sequence of numbers

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Hello!

I'm currently collecting penile measurement studies on blacks.

I'm only interested in real measurement studies, self-reported data is not reliable enough.

Tanzanian men: 11.5 cm (4,5 in)

Chrouser, K., Bazant, E., Jin, L., Kileo, B., Plotkin, M., Adamu, T., Curran, K. and Koshuma, S. (2013). Penile Measurements in Tanzanian Males: Guiding Circumcision Device Design and Supply Forecasting. The Journal of Urology, 190(2), pp.544-550.
>>
>>
Forgot to mention that these are median values unless stated otherwise.

Nigerian men: 13 cm (5,1 in)

Orakwe, J., Ogbuagu, B. and Ebuh, G. (2007). Can physique and gluteal size predict penile length in adult Nigerian men?. West African Journal of Medicine, 25(3).
>>
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>>8184904
>being this butt-hurt.

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I have a hypothesis about jupiter's spot.

Now, as we know, jupiter's surface is covered in gaseous hydrogen; and we suspect that deeper down it will be liquid metallic hydrogen.
Is it possible that a meteor struck the atmosphere of jupiter at a steep angle - slicing through the hydrogen layer and popping out of the other flank of the planet, leaving behind a large spot that has taken millennia to refill.

Just imagine, for decades Jupiter would have had a hole running right through its side. It's a shame that we didn't have the opportunity...
>>
would make sense with the smaller spot on the right as an entry wound and the larger spot as an exit...
>>
Probably not.

Comets constantly crash into Jupiter, and by "crash" I mean they break into literal bits due to Jupiter's force.

You are underestimating the size and power of the planet.

Wasn't it confirmed that it's a huge hurricane anyway?
>>
That's an interesting theory. Maybe it was made by a big ass asteroid (dinosaur extinction level) going too fast to break up and hit extremely hard, and the hole left from the impact caused gas to pour in, starting a storm, and it spread from there.

Also, nice post number!

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Ain't quantum mechanics just a probabilistic model of estimating things we can't actually see and this "existing in two places at once" is just a miscomprehension of said model. How wrong am I?
>>
>>8184661
Very wrong. If it were simply a probabilistic model, experiments such as the quantum eraser experiment would yield more "intuitive" results than they do.
>>
>>8184661
That was the original interpretation, but then things like Bell's inequality ruled out hidden variables (at least local ones).

Biggest difficulty with quantum mechanics is interpreting what the mathematical framework means in a physical sense. And that's something that's still not agreed on to this day.

https://en.wikipedia.org/wiki/Interpretations_of_quantum_mechanics
>>
>>8184686
>local ones
It's plausible that in the subatomic world non-locality can emerge.

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Hello,

I'm planning to start university this year and I would like to get some input on picking the right course for me. Only thing I know for sure is that I'll be going into the STEM field because that's what interests me the most and I'm very good at. So far my favorite choice is Physics because I feel like it's a broad field allowing me to go a lot of different directions later on, it's very theoretical so it'll hopefully shape my thought process and problem solving skills but with some practical applications unlike studying mathematics...
>>
>>8184584
How about you get your GEs out of the way first and figure out what you don't hate?

Since you've already got translation jobs you could just be a communications major and be multilingual for a living. I'm sure that will get you traveling whenever you want
>>
>>8184584
Geology lets you go to cool and interesting places.

Civil Engineering can be very complementary if you focus on economic geology.

You have some control about what you're researching, pick something interesting. Go to fantastic places with that kind of interesting stuff. Curse yourself every morning as you wake up and drink a cup of shitty coffee and walk around the mountains with no cell services for a few week.It's fun.
>>
>>8184587

Never. I don't want to do that crap my whole life. I consider all that language, humanity, arts stuff irrelevant to life's bigger questions. It's a hobby nothing more. It's not based on facts, it's nothing worth studiying.

>>8184594

Again, that's a full time job and I get told when to work and where to work.

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>Field

>Do you use \mathbb? Example?

>Do you use \mathcal? Example?

>Do you use \mathfrak? Example?
>>
>>8183898
>>Field
problem solving
>>Do you use \mathbb? Example?
\mathbb{R}, Q,C,F,N,Z, etc..
>>Do you use \mathcal? Example?
dont evne know what this does
>>Do you use \mathfrak? Example?
usually only for \mathfrak{a} (ideals)
>>
>Computer science

>yes, \mathbb{Z} for integers

>yes, \mathcal{P} for power set

>no
>>
>>8183898
>Field
MechE
>\mathbb
Fields like the reals $\mathbb{R}$
>\mathcal
functionals like action $\mathcal{S}$
>\mathfrak
Lie algebra $\mathfrak{g}$
> \mathscr
The Lagranian if not \mathcal $\mathscr{L}$
>\mathrm
Versor rotations $\mathrm{q}$

What the fuck does it mean, lads?
>>
>>8183849
Logarithms I bet.
Because log(3n + 1) = log(3) + log(n + 1/3).
And also log(n/2) = log(n) - log(1/2)
Therefore, logarithms.
>>
>>8184004
how the fuck does this have anything to do with anything. you're just listing normal logarithm properties as if they have any relation.

>>8183849
just means that you'll get down to 1 eventually.
>>
>>8184066
>>8184004

my instinct is to throw signals that don't make sense into a spectrum analyzer.

What exactly is a fourier transform mathematically? is it possible to do an FFT of this data?

How big can a person get before human bones and cartilage become too weak to support them?
>>
>>8183834
What's making them bigger? Isn't their bones getting larger, thus they wouldn't be small in proportion to the person.
>>
>>8183835
Ordinary human growth. We can't make a skyscraper the height of a space elevator out of steel and concrete because the length would exceed the specific strength of the beams. The same logic holds true for a skeleton on a giant person.
>>
I think the limit of the heart to pump blood to the brain would be reached before the limits of bones and cartilage.

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Explain to me what's computer science all about.
>>
Really, really, really applied mathematics that happens to be useful for a device called a computer.
>>
>>
>>8183823

computer science is to computers what astronomy is to telescopes

the computer is just a tool to experiment with and observe computation.

think that over for a while

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>science can even solve this
>>
>>8183801
>>
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>>8183801
>implying science even has authority to solve such problems
>>
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>>8184151
uhuh becuz people that don't know how it's made and works will know what can go wrong with it

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My girlfriend told me, in all honesty, she is feeling more like a he. I have no problems with that but something came to my mind:
She is taking Contraceptive injections as a birth control method, these injections contain progesteron, high progesteron levels make you want to do nothing all day, can cause problems with sleeping and food cravings, elevated progesteron levels also cause lowered estrogen levels wich in turn could cause a bad mood (or depression?).
She has all these 'symptoms' so could it be that because she is taking those injections she is feeling...
>>
>>8183768
lol you'll be fuckin a dude
>>
Gender dysphoria is a mental illness. Hope they will finda a cure soon.
>>
Hormones will fuck with you. Just use condoms FFS. I doubt she will get to the point of being truly transexual, but if she is not liking the effects, get her off of it.

To completely predict the effects hormone treatments will have is almost impossible, not even counting the placebo effects. All we have are statistics and risk factors. Changes in sex drive are well known. The details of that change are unpredictable.

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What is the difference between zero and nothing, is there any to start with?
>>
>>
>>8183348
Nothing is the absence of everything
zero is the absence of some quantity
>>
>>8183352
Then if you're talking about the quantity of everything, then zero and nothing mean the same thing, which is particularly PROBLEMATIC since depending on the perspective, something may be everything.
For example, you are everything for me, despite you just being someone.

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> [eqn] dS_t = \mu S_t dt + \sigma S_t dW_t [/eqn]

Do people in the real world actually model stocks and options with this?
>>
>>8182929
Yep https://en.wikipedia.org/wiki/Black%E2%80%93Scholes_equation
>>
>>8182933
lul some dudes decided to see if the heat equation modeled stocks and they got a nobel prize for it
>>
>>8182992
Have you ever seen the one-page proof of the existence of Nash Equilibria by the Kakutani fixed point theorem? It's as easy to get the economics prize if you're a mathematician as it is to get the peace prize if you're a politician.

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suppose evolutionary pressures cause Cephalopods to evolve human level intelligence and begin tool building,
what kind of technology do yo think they could develop underwater?
>>
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>>8182827

I would wager their technology would be very different from our kind of technology and it would involve a lot of chemical manipulation....maybe they would use chemical reactions, store it somewhere around their body and use the ink to blast off heat
>>
>>8182827
They'd develop spooky technology
>>
The most simple of tools are the wedge, the lever, and inclined plane. Proto-civilizations typically start with the lever fist simply because a lever can be as simple as a tree branch and they're plentiful. Even monkeys use sticks as tools or weapons to protect themselves. In the ocean, not so many trees. I just don't see it happening with the resources they have to craft tools with.

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