Archived threads in /sci/ - Science & Math - 1672. page

My hs teacher. That guy had a war story for us every fucking physics class. Even when we were black holes the fucker connected it to war somehow. (he was in a war tho)

Probably Einstein, feynmann, Planck, Dirac, Fermi and the rest.
I still don't know much about what I study (self taught) but I try.

No one, I just like it

>>8078298
Can you answer my question? I seriously can't find a proof. I thought this is the math related board.

>>8078265
The root function is continuous.
For the proof of that you should look at exp(1/m * ln(a)) which is the m-th root of a. It's obviously a composition of continuous functions and by that also continuous.

>>8078041
aphelion

>>8078041
Selene

Oort

It might be more well known but it looks neat

>>8078019
Yes, they are called duct-tape and WD-40.

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>>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.

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

>>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?

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>>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.

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Here it was a week after the surgery.

>>8077730
Shitposting.

>>8077730
veganism

Heavy metal poisoning can change eye colour. I don't know the specifics though.

>>8077623
>not recognizing caffeine on site

>>8077623
really? you couldnt google it or something?

its caffeine

>>8077625
>>8077627

What element is Z?

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.

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>>8077617
>>8077652
>>8077655

it is not sound-based.

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?

>>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.

>>8077471
>That feel when you will never understand this shit

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>>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.

>Mathematics
>s
It's still plural when you shorten it, you dumb fuck.

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>>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.

>>8077255
Homework goes on >>>/hm/

>inb4 the guy who was raped by an anime girl as a child

Mathematics is not a natural science. Nothing else need be said.

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>>8077248