Can someone explain why [math] { \frac{ \partial }{ \partial x^i} }_{p} [/math] is a basis for [math]T_p M[/math] ?
where [math] \left( \frac{ \partial }{ \partial x^i} \right) : C^{\infty} (M) \longrightarrow \mathbb{R}[/math]
>>9157740
because dx^j/dx^i = 1 when i = j and 0 otherwise.
>>9157744
so what? i mean [math]\left( \frac{ \partial}{ \partial x^i} \right)_p[/math] is just an operator. How in the world you can write every [math]X \in T_p M[/math] as [math]X=X_i \left( \frac{ \partial}{ \partial x^i} \right)_p [/math]??
[math]Human \cong _{top} \mathbb{S}^2[/math]
or, [math]Human \cong _{top} \mathbb{T}^2[/math] ?
>>9157688
you have a mouth and an asshole, right?
>>9157691
well yeah, they both are shut right now
>>9157691
and what about the nose-mouth connection?
>killed millions of people by preventing effective drugs from being sold to consumers
>destroyed medical innovation and research
>worshiped by internet leftists and """"""""""""""""""""""""skeptics""""""""""""""""""""""""
why does the FDA exist?
>>9157677
because leftist love smelling their own farts and killing other people
>>9157677
no one worships the FDA for anything other than drug safety, where do you live lmao
>>9157677
Killer Queen's third bomb, Bait The Dust.
/sci/, Killer Queen is already inside your board! That is what you are seeing! The switch for Killer Queen's third bomb has already been activated! Killer Queen's third ability, it is a bomb to bait away anyone who tries to seek the truth. It will activate in anyone who tries to get close to the archive in order to learn about me. It'll also activate if any poster happens to verbally reveal my identity and if he writes it down it'll immediately activate. Which means it is a bomb I implanted in 4chan! And now, this is the real third ability of Killer Queen!
Can you give yourself aneurysms through strenuous exercise? I feel like when I strain myself my head will explode or something and I really hope I'm not fucking my body up breathing so fully and forcefully.
deadlift
/thread
>>9157806
i'm not asking if you can make one burst. I'm asking if you can make new ones or something.
>>9158502
theoretically, sure, depends on how shitty your arteries are
Find a flaw.
>>9157661
tall
>>9157661
Oldish
unhealthy desire to be perceived above others
Why does the ability to hear music in my head and visualize complex objects in my mind increase as I become more sleep deprived?
Is this a common thing? I can do and think things when I am sleep deprived that I simply cannot when I am well rested.
What's the main cause of this?
Help me understand.
it means ur gay
>>9157595
Have you tried acid OP?
Da DNA dude did dat
How long until we can experience skies like pic related? Our moon is boring af, I want fuckhueg celestial bodies in the sky
>>9157524
Bruh, just leave.
>>9157524
Not until the sun starts expanding, so hundreds of millions of years.
>>9157531
When I say "we" I don't mean Earth necessarily, a colony in some Jupiter's moon would be enough
Is it possible for a dropped ball not to fall on the ground for some reason, even though it's pulled by gravity?
>>9157504
Only it's still on table
>>9157504
Yes it is possible, physical laws are probabilistic and there is a non-zero chance that every atom in the ball will simultaneously move upwards despite gravity.
What are some examples of molecules where the cis isomer is more stable than the trans isomer?
>>9157363
_Homo sapiens_
>>9157363
11-cis-retinal?
an amide bond in a peptide where there is an aromatic residue followed by proline prefers the cis configuration slightly more than the trans.
Whats your stance on Phrenology, /sci/?
This is a field that got ridiculed massively and everyone is told about it as "lol look at this PSEUDO SCIENCE, you dont like PSEUDO SCIENCE right?".
But we all know people with small foreheads have poor impulse control, that eye width can predict leadership and that thick lips correlate with sensuous behavior. In short, yes, physical traits enable and supress behaviors, common sense, then why is Phrenology considered like some sort of butt of the joke of science? Was it too dangerous because it told shit like it is?
Yeah. Projetion-ology is good if you have big forhead insecurities, or other really fucked deformities
so there is a use to it, at least.
It's an extremely thin veil for various forms of racism.
also good to note that its not the features which cause the effects, but the hereditary characteristics which are shared by those who also genetically achieve those proportions
Will the Singularity as predicted by Ray Kurzweil really happy? Or is it just the utopic ramblings of an old man, scared to die before he can fucking his robo waifu?
>>9157258
>really happen?*
Sorry, my brain doesn't work very well.
>>9157258
Kurzweil has an entire company dedicated to freezing him if he dies before the singularity and Google's founders bankroll it because they don't want to die either. As far as robo-waifus are concerned, he actually wants to emulate his dead father with an AI by uploading all of his dad's old belongings.
>>9157260
Yeah, he's certainly not an unbiased in this. Are his calculations actually reasonable, though?
There are only 2 types of people who actually like the metric system:
1. NOOBS who have no idea how to do math.
2. LAZY FAGGOTS who can't be bothered to learn how to do math.
>>9157204
You serious?
>>9158714
Self bump detected.
>>9158714
If dubs, KEK demands we return to base 60.
Is transferring graduate programs from a top 20 school to a top 10 school worth it if you plan on going to academia? Assume there's research I like at both places, it's purely a prestige thing
pic only minutely related
>>9157191
That's a stupid fucking question. I don't believe you're in a top 20 school or have the ability to move to a top 10 school.
>>9157191
Pick a professor. Not a school.
>>9157207
What's stupid about it? Getting professor positions can be heavily influenced by going to Stanford vs. like, UMD, is what I've been told by multiple people in the field
I don't mind taking a little extra time to assure I best my chances, if it sets me back any i.e. assuming I can't re-pass quals or something or don't transition research groups well
.why do brainlets believe that the Big Bang was the inception of the Cosmos?
Why do you not?
Because it is the harmonic transcendence of non-deterministic convolutions in the supremum geodesics of my huge Donkey Kong.
I'm usually quite good at theses puzzles but here i just don't get it, is it even solvable?
what is this?
Je ne suis pas entièrement sûr de ce qui se passe ici. Explique le puzzle stp ?
t. mathematician-brainlet learning french
> you program the arrow to reach the star with 4 possible actions
> go forward / turn left / turn right / goto start
> you have 6 cells of actions
> you can also define cells of action that only triggers on a specific color
my program here does
> go forward
> if on green square goto start
> turn left
> go forward
> turn right
> goto start
but it doesn't work because it gets stuck on the first loop