Archived threads in /sci/ - Science & Math - 1031. page

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And here's problem numer 2.

Cool, I remember the good days when we had those regularly. Keep it up. One question and one remark:
*) Why do you post the first one on Dec. 31 and not Jan. 1? Sure, I'm slightly autistic but this bugs me a little.
*) Can you try to make them not all just combinatorics? It's a little more work, but (if you're already posting more questions per thread, like here) posting problems of varying difficulty from another math field would be more interesting as those "one-off problems, where you use some trick you never use again for something else"

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>>8572845
okay, but now to start thinking about it, I first went to Mathematica as I know it has a support for all the cellular automata shizzle (of course, Wolfram is among original automata meme masters), at least for making some pictures. If someone else is motivated, I haven't used this before and haven't tried enough to figure out how you specify change rules yet.
Btw. this is just to makes blinking gifs and gain some intuition for this kind of problems.

Compare this to x + cos(x), x =/= πn...

>>8570042
so x + [cos(x) / 10]?

Really made me think

DAS RACISS

>>8575364
>caucasian human
he looks like he's mixed up with some arab or european or something
>african human
and this one definitely got some whitewashing or he would look like a car tire

none of these species look like their original ethnic seed.

>>8575364
WE

>>8573006
proof by contradiction for the reals and rationals

what do you mean by 'expression', a set?

>>8573011
Let's say one needs to prove that the square root of n^2+1 doesn't belong to the set of natural numbers. How does one go about doing this?

What I did was a proof by contradiction: first assume that it belongs to the set of natural numbers, then assume that this implies that this implies that this expression must be either pair or impair, which produces a contradiction.

I think I didn't do it correctly.

>>8572918
I don't see any proof here. I can see where you're going, but you need to write it more clearly.

I don't think it's a very elegant proof, since you're using advanced tools (Euler's identity) to prove something rather simple.

>>8572918

Elegantly retarded. 6/10.

>>8572921

It's clear enough.

>>8572814
As the name suggests - quantum mechanics and electrodynamics, plus points if you've done some basic quantum field theory.

Ryder's book on QFT covers some QED as far as I remember, start with that.

>>8572814
Physically, as >>8572853 said, but basically you need everything you learn in your introductory courses, you need special relativity, a lot (4-vectors should be very solid) and you need analytical mechanics (hamiltonian, Lagrangian, Noether's theorem etc).

Mathematically you need all the basic stuff, calculus, linear algebra, differential equations, PDEs, some functional stuff, complex analysis etc, but it's kind of specific and no matter how solid your math is, it will probably be very alien to you. The weirdest part of it is probably somewhere within the gamma matrices. It's not that it's super hard, it's just very weird and you need to get used to it a lot before you actually understand what the fuck you are doing. There's also some QFT stuff that gets extremely weird, like regularization. But I suggest you leave that out at first and start with tree level stuff.

QED really is nothing that is easy to learn when you haven't done all the basic shit before that. It's basically the summit where everything you learn about physics during your undergrad years comes together in one theory. When the ideas presented seem to appear out of nowhere and equations are completely alien to you, it's best you first deal with the foundations it is build on in a little more detail.

>>8572864
Oh, and by the way, electrodynamics as >>8572853 is really not at all that important. What classical electrodynamics deal with is very removed from what you usually do with QED, so fuck it. Basically, what you need to know is Maxwell's equations in the field tensor formulation, that's the only important part. When you see the equation [math]\partial_\mu F^{\mu\nu} = j^\nu[/math] you should understand what you see and you should be able to derive the inhomogenous Maxwell's equations from it. The whole other stuff you usually do with electrodynamics doesn't really matter at all. You should of course know about the phenomenology, but I guess that shouldn't be too much of a problem.

if i understand what youre trying to say, no because any prime is strictly larger than its position # since most numbers arent primes

i.e. p_1 = 2 > 1
p_2 = 3 > 2
p_3 = 5 > 3

>>8572815

Kek, OP did not think 5 seconds before posting.

>>8572813
Really dude? How in the hell would that even work?

>>8572804
damn it, that was what I wanted to do

gonna switch majors now

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>>8572831
always two there are, no more, no less

change majors you must not

>>8572804
For what reason?

>>8572489
you have to shake your battery pack to get the juices flowing

>>8572489
What the fuck? Are you for real? Please be bait...

>>8572516
This

Fuck my life, I forgot to mention that a and c are fixed reals such that a>0 and c>1.

>>8571145
Are you just trying to troll us with this shit typesetting? What the fuck is "- >" ?

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>>8571242
leave the board

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>>8571081

Earth is a tetrahedron
pls respond

>>8571335
here's your response
keep up a good job

e

At a grocery store late at night
Checker talking about human rights
Tell him rights don't exist
He starts stammering
Tell him to have a nice night.
>green text fy17

Calling my students stupid and reminding them that they will never succeed in life.

>>8570368
Yes.

and if you go further by imaging a fifth dimension. You will understand that each of your choices are already decided/performed and each action create a separate branched universe in a multiverse, thus meaning that the concept of "Freewill" simply does not exist.

>>8570368
No, because there is no way to control time.

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Consider a projectile being launched as in pic related. With a certain angle, speed, and a constant for gravity, along any air friction if you want.
in this two dimensional picture you can see the whole trajectory of the projectile, from start to finish. Once the ball was thrown, every point in it's trajectory was determined. You could even consider the horizontal axis to represent time.

>>8569033
>Trusting a jew

I think I found your problem

>>8569033
>historian

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>>8569033
>Historian

Cool story, bro

but why would you do that?

>>8572642
> not realising what dhmo is