Summer is coming up, and to take advantage of all this free time, I've decided to go into cocoon mode.
Besides the obvious lifting and studying, what are some smart/cool/autistic skills I can learn as well?
For example,
>Get good at chess
>Get good at mental math
>Juggle 5 balls at once
etc.
>>7943546
>baby shit all summer
typical normie
>>7943546
Learn how to play an instrument and lean a new language.
>>7943552
This
Hello, friends.
Could you guys explain the significance of the photoelectric effect to me? I know the premise of the experiment and such, but I am failing to grasp on why its outcome is significant and what one can deduce from it.
Also, bonus points if you can relate the significance of the photoelectric effect to the concept of wave-particle duality. This isn't a call for help on my homework, rather I am just curious.
Thank you all
PE effect -> compton scattering -> compton wavelength -> de broglie wavelengh -> wave-particle duality
How about you write what you know about it first. Just put everything you know.
>>7943365
Well I know that a metal will emit what are called photoelectrons when a light with a high enough frequency hits it. The only factor that will cause an electron to emit is the lights frequency, nothing else. I also know that there's something about energy levels being "quantized," but I don't really know what that means necessarily. And I know that there's some way this concept supports wave-particle duality.
What I'm also not sure is why that the emission of an electron has significance.
What's the point of tensor products, anyway? We have an R-module N, and we want to extend the scalars to find a natural embedding into some S-module, and the S-module S(x) N is the nicest module with this property. What's the motivation?
Tensor products are the coproduct in the category of rings, which is useful when taking products in geometry.
Extending scalars is a good way of killing torsion in abelian groups. Higher homotopy groups of spheres are hard to find, but tensoring with [math]\mathbb Q[/math] lets us get some idea of what they should look like.
Number theorists are particularly interested in extending scalars along field extensions.
Tensor products are how you glue modules together without making independent copies of the ring of scalars but instead only allowing a shared copy of them. This is the kind of thing that multilinear algebra is about. Note that the determinant is still well defined if instead of giving it nxn matrices you give it objects in the tensor product of n copies of the n-dimensional vectors. Hence the tensor product definitely should show up in geometry contexts (and I know it shows up in general relativity.) As for the category theory, the universal property resembles the one for subobjects, so you could think of it as the smallest subobject where you can still commute with these maps you care about.
A breakthrough in fusion is the only way to save industrial civilization.
Gud
>>7943102
Why do you think it can't go on for another 100 years? Peak oil?
efficient power storage would also work, but the illuminati keeps that under wraps for now.
If bees are endangered, and African bees are taking over or hybridizing with American bees, then isn't the problem solving itself?
>survival of the fittest . negro bees (no offense; i'm a great guy; serious question)
>>7943078
Bees are not endangered.
>>7943080
Well, they are declining to where farmers are taking special measures to make their crops polinated. This is called colony collapse disorder and unless I am mistaken, it is a real phenomenon without a proper explanation yet.
>>7943092
Honeybees are not native to the US.
Proof by induction is the first topic in my college maths class and it is killing me. Does anyone have any useful videos / books / websites that give a good tutorial on mathematical induction? Thanks.
Make sure what your proving is countable/finite.
Step 1: Prove the first case (base case)
Step 2: Assume that your hypothesis holds, prove your hypothesis holds for the next step.
Done.
>2012+4
>using induction
I sincerely hope you don't do this
>>7942860
No lmao you need the index set to be well ordered. You can't do induction on Z or Q.
About a week ago some troll decided to link my old proof regarding fractionisation of three-thirds, here is an update of that proof, based upon the comments I've got.
https://yngthlet.wordpress.com/2016/03/19/4chan-and-me-a-science-war-of-posts/
Seem Legit.
But no one cares
So, Isn't this a science threwd?
>>7942690
You fucking retard. Not even any point in explaining how wrong you are. You obviously don't even have a high school level of proficiency in math, yet you are such a degenerate you actually believe what you just posted. Unbelievable.
How can companies get away with advertising such as pic related? Wtf does that even mean? Is my science degree useless because I don't understand how that works?
Also inb4 why did you buy that then. I work at a pharmacy and I get a discount on everything in the store
>>7942534
Probably should've mentioned I'm in 3rd year so I don't really have a degree yet lel. Rekt tho
Maybe it does bind fats slightly better than normal shampoo.
>>7942530
Scalps require oxygen for stronger hair. Caffeine's an excitatory molecule meaning more blood flow to the scalp. Jesus, OP, are you not knowledgeable? ;P
Why isn't this unlimited power?
>>7941855
it sort of is but it's not a lot of power
>>7941857
just make one million of them
The Universe is conscious through humans and other sapient creatures. We are all literally the Universe, thinking, speaking, learning.
Quantum mechanics is tied to conciousness, and the Universe operates through quantum mechanics. All our thoughts are the thoughts of the Universe. When a lot of us actually think of something, and our conciousness is tied to an idea, the Universe is thinking about it too, and the more of us think together, the quantum mechanics that is operating the Universe will also have that idea and it's events in it's pool of all possible random events, and the chances of it actually happening greatly increases, and becomes much larger than all the other random events that can happen. When we all think of something together, at the same time, and constantly, we are actually affecting the quantum mechanics of the Universe, and the chances that the Universe bends to what we thought of increases and the events we are thinking about actually happening increases, because the Universe is thinking about it, because we are thinking about it.
Meme magic is real, and it is more powerful than any of us can ever imagine.
can /sci/ explain to a humanities student why fermat's last theorem is a big deal?
pic related, it's the guy who solved it
I can't pretend to know a lot about the subject, but as far as my understanding goes, the theorem itself doesn't have many important applications (compared with what a proof of P=NP or Riemann Conjecture could bring, for an example).
It got famous for being a problem which is very easy to pharse, but exceptionally hard to solve. Many mathematicians have dedicated their lives into working on it, and the proof itself uses very deep, complicated results from different branches of math.
The theorem itself isn't much of a big deal in terms of practicality. What's important is that something so seemingly simple took hundreds of years to prove, with new techniques that are applicable to algebraic geometry and other fields.
FLT in itself isn't important. The important things are the techniques developed while searching for the proof, mainly in number theory and algebraic geometry.
Whenever I try to study my mind will wander. The thing is I don't realize my mind is wandering for a few minutes.
Finally once I realize I will try really hard to focus. The result ends up being just reading or listening to individual words, but not actually comprehending the sentences. Like even basic sentences will just become a series of unrelated words when I try to read them.
Then my mind starts to wander and the cycle keeps repeating. I retain almost nothing.
How can I stop this from happening?
pls no just do it memes
Maybe you have ADD. Get medicated.
>>7941060
Try to fully detach yourself from the other things while studying. You can't expect to fully understand something while you're waiting for your friend to text you or while you're urging to check facebook or whatever. Internet is pretty disturbing while you're studying.
Also: check your ambient, where you study. It may be lousy and you may not tolerate it.
>>7941071
Yeah, maybe. But I don't think it's so epidemic like it seems. Everyday every person has ADD. Is it possible?
>>7941079
>Yeah, maybe. But I don't think it's so epidemic like it seems. Everyday every person has ADD. Is it possible?
Maybe it just seems that way to you because obviously people who don't have difficulties focusing don't talk about it. Idk I think I may have it, it's real hard for me to focus on one thing, especially for long periods.
Calling all A level fags.
Just wondering how this compares to A level. It is from the second lowest OU maths course.
There are 3 other textbooks that cover calculus (diff and integ), further trig, matrices, vectors, and some other stuff.
I am going to post the indexes from the last book.
Thanks.
The majority of this stuff is covered in A levels, but a lot is in further maths. The only thing I'm not sure about is trigonometric identities from de moivre's and euler's formula.
what would you pick out of all these to do research on and why?
>room temp superconductors
>ultrapacitors
>machine learning
>NPDEs and Spectral Theory
>rotaxanes
>thermoplastic elastomers
>amorphus inconel sintering
>multijunction photovoltaics
>magnetic refrigeration
>electroactive polymers with subfocus on dielectric elastomers
>telemorase synthesis
>reciprocal quantum logic
>physically based rendering
>>7940571
Depending on how old I was, I would pick something.
If I was an undergrad or masters, I would pick the topic I was least familiar with so as to gain both a broader understanding and to help grow as a scientist.
If I was a phd or new postdoc, I would pick something that I loved and was very familiar with.
If i was getting tired/bored as a postdoc/professor, I would take some time off from my favorite subject and spend some time looking at some other material, learn something and come back to my original field.
>>7940604
does it ever matter what your masters was on when you pick a thesis? or are all these fair game?
You have little to no choice in what you do research on in the real world. Because funsing lol
How about wholly synthetic molecular machines?
how does one get rid of nightmares?
stay awake
>>7939720
> engineers
you grow up
and bills and creditors calling you become REAL nightmares
What's the joke /sci/?
oh haha, I get it. Don't you get it?
>>7938894
NO!!! I DON'T
![Tensor_product_of_modules[1].png](https://i.imgur.com/dtS2xNz.png "Tensor product of modules[1]")
![latest[1].png](https://i.imgur.com/T3HBCUT.png "latest[1]")
![school[1].jpg](https://i.imgur.com/7SJoiPc.jpg "school[1]")
