Oi cunts. Are there any good examples of creativity solving a scientific problem?
>>8078019
Yes, they are called duct-tape and WD-40.
>>8078029
Bullshit. Creativity is for pozzed up liberal hipster otherkin.
Go draw a picture of an anus and cry about you're safe space violations u fgt.
>>8078038
>Clearly doesn't know what research is.
Assuming that my current knowledge is zero, what should I learn to understand the magnificence of time and space?
start by learning basic operations like + and -
>>8077978
Love
>>8077978
http://4chan-science.wikia.com/wiki/Physics_Textbook_Recommendations
http://4chan-science.wikia.com/wiki/Astronomy_Textbook_Recommendations
Did my skin graft take? I know this isn't science related but I am so worried and I know there's some smart people here.
>>8077894
I've no idea, I'm not a doctor. But when I first saw it I thought that the white colouration was a bad sign, but then I noticed the skin just above that is a similar colour. Just go to a doctor.
What happened?
>>8077905
I have a doctor's appointment in a couple of weeks so I might as well just wait.
As for what happened, OK it started off as a little bug bite on the back of my neck, you know nothing to crazy but then I guess I kept fucking with it and it got bigger and bigger puss was coming off it and it was painful as fuck, like the worst pain you can imagine. After about a couple of weeks I went to a doctor and found out I was diabetic. The diabetes weakened my immune system and my blood sugar was high asf so it made it more infected than it should have been. Pic related.
Here it was a week after the surgery.
Hey /sci/,
until recently i had blue eyes when suddenly they changed to green.
Do you know what might cause this?
>>8077730
Shitposting.
>>8077730
veganism
Heavy metal poisoning can change eye colour. I don't know the specifics though.
What is this?
>>8077623
>not recognizing caffeine on site
>>8077623
really? you couldnt google it or something?
its caffeine
We are so used to our "inner dialog voice" that we literally can't stop talking to ourselves in our heads.
But, what about deaf people or people who simply have never learned any languages.
How do they "think"?
Also, how do blind people know that they have finished wiping?
I have the same question but it regards animals. What "language" are they thinking in?
people who simply have never learned any languages
I wouldn't call some kind of feral man even human. A dumb ape wouldn't fall into that category for consideration.
>>8077617
>>8077652
>>8077655
it is not sound-based.
How is mathematical induction even possible?
"Let's assume the induction hypothesis is true for any integer n"
> not proving this statement
That is why you have a base case.
>>8077604
First you show that its true for n=1
And then show that if its true for n (like n=1) its true for n+1.
Putting them together shows that n=2 is true, which implies n=3, which implies n=4, etc
>>8077612
So, using an unproven statement (the hypothesis), you construct another unproven statement during the induction step, which suddenly becomes valid due to the base case?
Hey /sci/
We're working on a script for a movie where, after a series of easy questions, the character is given a really difficult, long, and complicated question. What's a really complicated question from linear algebra that you think would fit?
>>8077500
Prove the existence or non existence of a magic square in dimension PxP where P is any prime number > 3 such all the numbers of the matrix are prime (and unique) and so that the sum of every row, column and diagonal is also a prime.
After that you get your PhD in linear algebra and number theory or something like that.
The main character is given some coordinates, he goes to that place but finds nothing. He gives up.
Plot twist: he finds some numbers.. turns out it is a matrix for changing the basis.. he does the fucking transformation, gets the new coordinates, goes to the actual location, finds XXXXX and wins.
BOOM
>>8077515
It's basically an interrogation scene, where the main character is interrogating a spy. After asking him a few easy questions, he gives him this really difficult problem full of words and terms specific to linear algebra like null space and transformation and eigenvalue--something along those lines.
Lie Groups, Lie Algebras, Spinors, Belt Tricks, SU(2)<=>SO(3), Quantum Mechanics, and the meaning of life.
>>8077471
>That feel when you will never understand this shit
>>8077471
Hey /sci/
So I just got done with a Quantum Mechanics class that touched on symmetries and group theory applications in QM at the end. Unfortunately it was poorly presented, but fortunately it turned me on to group representations and Lie Groups.
So I really want to understand QM spin. I've tried several times over the years, and I am ready to admit that it's a very difficult concept. But I think it's because I've never seen it well presented. I was looking around on youtube the other day and stumbled across this guys lectures from CO College of Mines on Lie Groups:
https://www.youtube.com/watch?v=kpeP3ioiHcw
While the presentation wasn't super high level, the dude describes the exponential map in an intuitive way and motivates discovering deeper mathematics by looking for deeper, often times algebraic, connections.
So, to understand spin, I really need to understand Lie Groups and Lie Algebras. Right now I am scratching my head over the motivation for a Lie Algebra. I understand that the generators of the algebra form a basis of the tangent space of the group manifold, but don't understand the motivation for the definition of Lie Bracket, which is often the commutator of group elements. It smells of determinant to me, but I don't see the connect, and the wiki article doesn't motivate it's definitions.
https://en.wikipedia.org/wiki/Lie_algebra
Anyway, I was wondering if anyone could shed some light on these fascinating topics. Ultimately I want a solid understanding of spin, but I need to get there step by step. This thread is for people who want the same, or who have the insight to help the more naive of us out a little.
>>8077478
>but don't understand the motivation for the definition of Lie Bracket
Consider the lie group [math]G[/math]. Lie groups are smooth manifolds so you can define a diffeomorphism which is a left group action, [math{L_g}:G \to G[/math].
A vector field on G, [math]v \in \Gamma \left( {TG} \right)[/math], is called left invariant if [math]\left( {\operatorname{d} {L_g}} \right)\left( v \right) = v[/math].
The lie bracket is a product on the tangent bundle of a manifold. [math] \left[ { \cdot , \cdot } \right]:\Gamma \left( {TG} \right) \times \Gamma \left( {TG} \right) \to \Gamma \left( {TG} \right) [/math].
Consider the set of left invariant vector fields on G. [math] \mathfrak{g} = \left\{ {v \in \Gamma \left( {TG} \right)|\left( {\operatorname{d} {L_g}} \right)\left( v \right) = v} \right\} [/math]
To make this set a vector space, we need to equip the product [math]\left[ { \cdot , \cdot } \right][/math].
The vector space [math]\left( {\mathfrak{g},\left[ { \cdot , \cdot } \right]} \right)[/math] is the lie algebra of G.
This space is then isomorphic to the tangent space of G at the identity.
>Maths
>s
>Mathematics
>s
It's still plural when you shorten it, you dumb fuck.
>>8077806
>mathematics is plural
>>8077806
What's your favorite mathematic?
Very high for some reason
>>8077255
Depends on the probability distribution which is not specified here.
What is the difference between physics and mathematics?
I think it might have to do with the fact that physics cannot exist by itself. Physics tries to explain the Universe and its mechanics.
Mathematics, on the other hand, can exist by itself. Even if there was no thing such as mass, energy, velocity, this kind of thing, Maths would still exist. It's a "pure knowledge", or "meaning by itself".
What do you think, /sci/?
I'd like to listen to different opinions, hopefully someone who think's there's no clear boundary, or better yet, they're the same thing.
>inb4 the guy who was raped by an anime girl as a child
Mathematics is not a natural science. Nothing else need be said.
The gravitational waves discovery combined with Space-x's successes and the current trends in politics have made it abundantly clear that we're probably not as stagnant of a civilization as one might think. With that said, what technological and scientific progress will we likely see between now and 2030, and what effects will it have on society?
99% of everything useful is already discovered
>>8077273
If that's true, why haven't we found a cure for faggotry? Pic related.
Space mining and space colonization in the Earth Sphere. Then we might see some mining in the outer planets.
How many points do you have on khan academy? I've got 493,970, i probably have cooler badges than you.
0. I already finished high school.
>>8077231
Lets all laugh at this idiot.
Khan academy teaches some of the most advanced math currently know.
534,168
Because of the growing gender gap and lack of compliance to UN resolutions, what is the possibility for those Chinese scientists to eventually successfully genetically mass-producing "perfect" women?(height, hair color, eye color, eye shape, face shape, age degradation, personality, etc.) Pic possibly related.
>>8076944
my dick is so hard i can smash through hydraulic presses right now
on a side note, its very possible. all you have to do is inject plasmids and you are done. the chinese arent limited by bullshit morals or worthless "bioethicists"
shameless self bump
>>8076988
Kek and check. That's what i first thought too. However, the rich Chinese are hiding their cash in central america. So I am skeptical this will get serious attention and funding while still having a multitude of other issues.
