Archived threads in /sci/ - Science & Math - 580. page
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ITT I will try to solve (and in fact solve) all the Millennium Prize Problems one by one. I will do so by a new proof technique that has been proved to be quite powerful. It combined homothopy theory with algebraic geometry. Having said that, the proof technique itself is elementary though. So, let's go ahead.
1. [math] \displaystyle P = NP [/math]
By definition, polynomila algorithms admit decomposition in chains of smaller polynomial algorithms. Consequently, polynomial time algorithms do not solve problems where blocks, whoose order is the same as the underlying problem, require simultaneous resolution. Thus, in fact [math] \displaystyle P \neq NP [/math]
2. Hodge conjecture
Assuming that if a compact Kähler mainfold is complex-analytically rigid, the area-minimizing subvarieties approach complex analytic subvarieties. The set of singularities of an area-minimizng flux is zero in measure. The rest it left to the reader as an easy routine excersize.
3. Riemann hypothesis
This is a simple experimental fact. [math] \displaystyle 10^13 [/math] roots of the Riemann hypothesis have been already tested and it suffices for all practical applications. In fact, one state a suitable statistical hypothesis and check it on the sample of, say, [math] \displaystyle 10^5 [/math] roots.
4. Yang–Mills existence and mass gap
Well, discrete infinite bosonic energy-mass spectrum of gauge bosons under Gelfand nuclear triples admits non-perturbative quantization of Yang-Mills fields whence the gauge-invariant quantum spectrum is bounded below. A particular consequence is the existence of the mass gap.
5. Navier–Stokes existence and smoothness
(To be continued)
(Cont.)
I haven't worked this one in such detail, but observing that
[math] \displaystyle \| L (u, v) \| ^ 2 = \sum_{n \ge 25} u ^ 2_ {2n} v ^ 2_ {2n +1} / n ^ 2 \le C\|(u_n/\sqrt n)\|_4^2 \|(v_n/\sqrt n)\|_4^2 \le C\|(u_n/\sqrt n)\|_2^2 \|(v_n/\sqrt n)\|_2^2 = C \left (\sum u ^ 2_ {n} / n \right) \left (\sum v ^ 2_ {n} / n \right) [/math]
one can easily find at leat one closed-form solution applying the bubble integral. In the equation, [math] \displaystyle L [/math] is a bilinear operator.
6. Birch and Swinnerton-Dyer conjecture
The...
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Of course, if you have any questions, I'll answer them with pleasure.
can u do triple integrals?
>tfw I fell for the STEM meme
Now I'm unemployed and live in my mums basement with zero income. Fuck.
>>7698509
>wanting to become a wagekek
Why?
>>7698515
Dude wageslavery is just fine for the majority of the world you know...
You work, at some boring 2-bit job, get some money, come home, grab something to eat and some beer, chill out and watch TV, shower and go to bed, repeat the next day, until you die.
That's the life, r-right?
>>7698509
if you really studied something, you should be able to create value even from your basement.
Gas turns into stars, which turns gas into energy and heavier elements.
Does this mean that the universe will run out of gas and stars in the distant future? Or is it a renewable process somehow?
Elements heavier than iron don't have exothermic fusion reactions. That and the universe is fundamentally on a one way street thanks to the second law of thermodynamics.
So a long long long time from now the universe will be dead in some sense.
>>7698447
Who knows... Who knows..
>>7698450
Man, I hope the ergodic hypothesis is false too.
>Ejaculation increases testosterone levels
>Testosterone turns into DHT in the skin
>DHT can cause acne and baldness
Is freq ejaculation the reason we go bald?
>>7698139
Why don't you take the scientific approach and stop ejaculating and let us know how it goes in 30 years.
>>7698139
Ejaculation decreases testosterone (and dopamine), while increasing prolactin. Lack of orgasm increases testosterone levels for ~1 week. I don't know if it truly drops back to baseline after that, but that's what's frequently said. No literature I've read has gone into that aspect.
>>7698144
...
https://libraryofbabel.info/
Does the online 'Library of Babel' have any use? Technically, isn't the cure for cancer and secret to FTL travel hidden somewhere on this site?
yes now find it
What he said. Its in there somewhere, you can get it and be reknowned the world over if y'just go digging.
I hope you're trolling, but honestly, I'm not even sure anymore
so I've been avoiding inquiry regarding this for a while, whats the verdict on the effects of using microwaves to prepare food over the course of many years?
>>7697932
they're not powerful enough to do more than oscillate water molecules. microwave ovens are perfectly safe. it's only 250ish htz not enough to do damage to stuff
It creates radioactive isotopes like polonium 210 and cesium 137 in your food
>>7697935
They do more than oscilate water. Microwaves heat according to the heat capacity. Its why glass heats up to 100°C before the water in the glass fully boils.
Well /sci/ can you figure it out?
It doesn't matter what they say because they're fucking disqualified for revealing information to each other.
I can figure out that Jill and Bob are a bunch of filthy cheaters.
Bob tells Jill that it's not a rectangle.
Jill tells Bob that it's the orange triangle.
>>7697793
Oh wait, I didn't see the purple circle. Whatever.
Can someone please explain to a retard why microwaves are apparently dangerous if they're weaker than both infrared and visible light?
>>7697650
>microwaves are apparently dangerous
They aren't.
>>7697650
Elevation of heat shock proteins (by non-thermal means).
Certain cells are vulnerable to its magnetic field, and more so during specific parts of their cycle.
Exposure results in increased ROS production.
Changes in gene expression, naturally, are also observed.
Not going to go into the research about pyramidal cell dysfunction, or dysfunction of cells in the dentate gyrus / hippocampus. Don't care to go into increased blood brain barrier permeability either. Some studies show statistically significant...
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Microwaves are dangerous because they vibrate your water molecules super fast. Wi-fi is cooking you from the inside out.
hello /sci/
i realize i could post this on /adv/, but i feel like this board has a better chance of having actual input
so right now im a 2nd year computer science student and im slowly realizing that i absolutely hate it. im not struggling with the courses, but im also not miles ahead of anyone. since starting college ive been enjoying math more, but i dont think im very good at it. if it means anything, i got a 5 on the ap cs test and a 3 on the calc bc one.
im thinking about switching to a math major, since im already take plenty of classes for it, but i...
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>>7697599
Cs is great, why do you hate it?
>>7697610
i dont enjoy it at all and most of the time it feels like a chore unless im making dumb shit just for me. i understand what's going on (right now at least), but i dont naturally think in a computer science-y manner, so im scared that the farther we progress the more ill fall off.
bump in hope of a math major/student seeing this
is this anon's suggestion accurate?
if it is what can someone do about it besides suicide.
>>7697574
Find love.
>>7697574
It's nowhere near as profound as that poster implies. The grand meaning and absolute (very narrow) spectrum of outcomes is also largely incorrect.
Long term high stress levels do cause atrophy and volume loss in various regions, but the real issue lies in functional changes of those structures. Many of which are reversible to some extent. That which is seen cannot be unseen, and we remain capable of becoming any former version of ourselves. In many cases this causes psychological conflicts that must be...
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>>7697598
can you say that the brain damage you think you've experienced has significantly interfered with your life?
engineer drop-out here
(went to become a writer and film school - so far it's okay)
I matched on tinder with a cute and kinda awkward Italian mathematician, she works in noncommutative algebra and group theory. What the fuck is that, wiki is too confusing. Can someone explain like I'm a film school grad.
>>7697553
If you could not understand engineering what makes you think you can understand pure mathematics.
She just wants your dick, not for you to understand her work. Give her a good pounding and move on.
>>7697569
We're talking about PvsNP right now. I'm asking her to explain things to me.
I dropped out of engineering because that's not what I wanna do anon. It wasn't for me, doesn't mean I'm stupid. But I doubt I'll be able to understand abstract algebra over a tinder convo.
wtf does PvNP have to do with noncommutative rings? What's a ring?!
>>7697553
wtf just meet her and stop being that autistic are you trying to impress her with your understanding?
Which genus was the most valuable in helping humans advance through its stages of development?
canines
bovines
equines
>>7697533
That question is like which color most contributed to Van Gogh's paintings. Fucking meaningless question.
>>7697533
Goats (genus Capra)
Penne.
![6923985-space-flight[1].jpg](https://i.imgur.com/kzOvs2C.jpg "6923985-space-flight[1].jpg")
One question
Imagine a spaceship travelling near the speed of light with a camera filming it
Imagine we are at earth looking at a screen that is showing what the camera is recording
what would we see?
>>7697499
They made a simple videogame to help visualize what moving at relativistic velocities would look like.
http://gamelab.mit.edu/games/a-slower-speed-of-light/
>>7697630
Very cool
Direct link to video
https://www.youtube.com/watch?v=uu7jA8EHi_0
>>7697630
I am not talking about me moving at near speed of light.
But about a guy that is not doing it, looking at a monitor that shows what is happening inside a spaceship that is doing it
Anon, why aren't you studying?
>>7697471
Because I'm sitting on the toilet.
Why aren't you?
>>7697473
Because I'm preparing a nice cup of Earl Grey.
looking for parts to try this out. pic related
What if tao had chosen to become a physist?
>>7697379
He's too smart for that.
>230 iq "genius"
>spends his time looking at prime numbers
HahahahahahHhHhHhHhaha
Witten said he tried to pursuade him into working on M theory but was rejected.
