Say you have a year before you start making PhD applications to a top university.
What sequence of books and topics do you read if you're interested in doing algebraic topology or algebraic geometry, and want to maximize your chances to get in and/or not crash and burn once you get there?
>>8489057
read about w/e you want. probably should be related to your undergraduate research that you did.
I won't do ug research until next year, so during application time I'll only have done minimal work on research
>>8489113
algebraic geometry:
the exercises in hartshorne are the benchmark for pretty much everyone, but you can find the chapter material written better elsewhere
algebraic topology:
hatcher is a standard intro (some people hate it)
you might like miranda's 'algebraic curves and riemann surfaces' which is complex algebraic geometry in dimension 1 and makes use of some algebraic topology
does this pocture mean anythin for you sci?
honestly...?
i doscgered discovered thst the deriative of fircle equation and circle equation intersect x equals plus-minus one over the golden ratio (reciprocale of golder ratio...)).......
it makes you tyink.. honestly
#1 tell me why it does this
now.. i also discovere just now that the golden ratio and the reciprocal of the golden ratio is the solution to 1/x = x - 1.... what does this say?? well... for what valueing of x does the reciprocal of x equal itself minus one... so for what repricoal has the same value after the decimal place no mattering what... well, the golding ratio is it.
#2 tell my why it does this how it is.....
tank you i await answers
>>8489012
1) Your post is almost unreadable. It is like a toddler is bashing their face on a keyboard. Please try harder to be legible.
2) Yeah actually, I do know this graph. The reasons the derivative of the function which generates the circle appears that way is not a coincidence. If you investigate the relationship between that and the trigonometric functions you will probably be pleased with some of the results. I gets even more elegant when you consider complex numbers and Euler's formula, but I suspect you are not at that place in your math education yet.
Calculus certainly has some interesting things in it Anon, I'm glad you found something nice.
>>8489012
Yup this is a known result. It's pretty cool when you first see it. Look at the derivative formula and think of ways of rewriting the trigonometric terms
You post is insane though. ESL, or just raised in a swamp?
Can someone translate into non-inbred what he discovered?
Hey /sci/, I have a test on complex numbers and polynomials tomorrow for my foundations class and I was wondering if anyone here has some good problems that are at the level of a freshman.
For a quick background of what I know:
Regarding complex numbers we constructed them by defining a different addition and multiplication on R^2, we proved they were a field, saw polar coordinates, proved and used de Moivre's formula, found roots of complex functions and did complex inequalities.
Regarding polynomials we saw all the elementary algorithms (those that are easy enough for monkey brains to compute) to find roots, did some theorems on divisibility, found GCDs, and defined addition and multiplication of polynomials to prove they form a ring.
I am having a hard time finding problems about polynomials and complex numbers that are not at the high school level (as unfortunately little kids also study these subjects so it is not as easy to find good problems). It even enrages me when I read a good title on google, click the link, and it takes me to fucking brainletacademy.
Just post some good questions for a university freshman and I will answer them in the thread if I can or admit that I am a brainlet when I can't.
>>8488950
Bump, just post anything about complex numbers or polynomials. Just phrase it like a question.
>>8488950
>complex inequalities
complex number can't have an ordering
>>8488994
I know, we proved that aswell.
I meant stuff like lz - il < 1, involving the absolute value of complex numbers.
Please bring me problems man, I am starving. http://www.wtamu.edu/academic/anns/mps/math/mathlab/int_algebra/int_alg_tut25_poly.htm
Look at that shit. That is a university website and they ask problems like "what is the degree of this polynomial". I do not have an algebra book man, I need practice problems.
What would life and engineering be like if the atmosphere was a conductor of electricity?
>>8488843
>what is lightning
The atmosphere is an electrical conductor you retard
>>8488855
This loser, maybe you can get your face out of tour grannys anus and realise what OP meant.
I study electronics and that would be a really pain in da ass. Electronics i think could keep the rhythm just by keeping pcbs layouts without copper in the outer layers but only the inner ones. Electronics would be more expensive. I worry about trains and so, it would be easier to produce a shortcircuit. Rhe world wouldnt be as it is.
>>8488855
Lightning is just a high enough voltage to cross a gap across an insulator.
In much the same way a very high voltage can travel through a thin layer of plastic, the absurd voltage of lightning allows it to travel through kilometres of air despite air being a (very weak) insulator.
This might sound like a dumb question but how would I go about getting the 3, 9, 12.9, 16.2, and 18.9 in pic related? The function is just y=f(x).
>>8488755
The function was given in the original problem. Just plug the numbers in to that function.
I know but the function is simply y=f(x) or, if you prefer, f(x)=y. How am I supposed to find height with only this information to go off of? I think you're supposed to find the midpoint of the "rectangles." I'll try it and see what happens.
>>8488822
Nothing can cure this amount of retardation.
>Sleep with phone under pillow
>1 hr later wake up feeling incredibly sick
>Heart rate is through the roof
>Feel like I'm on some research chemical
>Drink some water
>Focus on not dying
>Take out phone and its hot
>Sleep without phone and doesn't happen again
HOW???
It's probably your natural nfc bugging out with the phones artificial one. Do your phone have nfc enabled perhaps?
Chemtrails
sound like acid reflux or something similar. I doubt it's related to the phone, I fall asleep with my phone on my face or on my body constantly and haven't felt those symptoms once.
I think this is the appropriate place to ask, but just how might human society both look and evolve if we were more like ant colonies? Primarily if we were all workers and did work for a queen. I think bee colonies function much in the same way too if I am not mistaken. How different would our species be?
you can make people do that if youre powerful enough, im sure there are plenty of historical examples of not necesarily entire countries but groups of people who lived this way and the reality is it really just depends on a lot of different factors with a fair amount of randomness thrown in. if the people are happy then generally it will be successful.
>>8488717
Implying that households are not ant colonies made by the worker husband and sons to support the queen wife and daughters.
That is how it used to be before. Supporting women was hell. Good thing first wave feminists were dumb and fought to lose their privileged status lol.
>>8488733
Is this because females are nature's default sex?
How much energy is given off by a particle collision. Would it have any repulsive effects. Possibly enough to run a vehicle. Yes I just smoked pot.
>>8488674
Depends on the particle. The ones CERN collides don't produce enough energy to even give off light. But collide two plutonium particles and you'll shit bricks.
Kill yourself on livestream
>>8488674
Think of it this way
You smash a neutron going at some very high speed into a Uranium 235 nucleus. The nucleus splits into two smaller nuclei and emits a lot of neutrons going very very fast.
Say you were to slow these neutrons down by surrounding them with water. The water would heat up very fast. Fast enough that it would boil. That water, now steam, can be used to turn a turbine and generate electricity.
Congratulations, you just built a fission reactor.
Hi guys do you know any online course or do you have tips for how to get good at programming with Java?
I have always been good with maths, but I don't get programming at all. It belongs to one of my courses for my study. I'm afraid I won't pass it, because it is not intuitive for me at all and I don't have a good professor
So guys, how can I get good at programming (preferably at Java or Pytyon right now)?
You'll get better answers on /g/
>>8488641
>Java
That shit doesn't belong on a science board. Fuck off.
>>8488811
>edgelord spergmaster
>Aliens are watching you now
Do you dare to prove me wrong?
So is God, but I dont give a dick about that either.
>>8488611
I misread it as
>Animes are watching you now
>>8488621
Aliens are watching your shit animes when you watch them yourself.
it's 9pm and I have to finish a combustion kinetics report and another 2 lab short lab reports (1 GIS-related & 1 fluid dynamics)
I'm still fucking around on the internet.
Convince me to stop please.
>>8488501
deadline is like 12 fucking hours ffs help
>>8488501
Get off 4chan. Do your work.
>>8488530
oh so fucking helpful mate. thanks a lot. there-there.
tfw your only mistake was on the easiest question
>tell professor I have a tendency to make stupid mistakes on tests during office hours
>"well I grade intelligent mistakes all the same"
why are professors so mean?
>>8488362
I doubt they're even allowed to give points if what's written on the sheet is objectively wrong. I also lose about 5 to 10 points per exam for retarded mistakes but I never got any compensation for it from a professor, no matter how friendly he was
>professor takes off points for not using words like "then" or "so" in a proof
>>8488347
definitely Elements 2: Electric Boogaloo
>>8488361
Nice, nice, 10/10.
>>8488347
https://www.amazon.com/Euclids-Elements-Euclid/dp/1888009195/
Hey /sci/, how accurate is 23andMe?
I heard they started added random noise to results when they found out how popular it was among stormfags to show off muh purity.
kek if true
>>8488319
>putting your genetic material in a corporate database
kek
>>8488319
If you want to be told you're a jew just go say something leftist on /pol/
Has there ever been someone as equivalently intelligent or accomplished as Jansci?
I'm not being rhetorical, it seems like he might be the single most accomplished man in history and it is genuinely very difficult for me to find an equivalent or better.
Does /sci/ have any candidates?
Additionally I have a little known story by Wigner about his incredible abilities by mental calculation. They have been mythologized greatly I suspect by Halmos' publication "The Legend of John Von Neumann" which is as far as I can tell the origin of the legend that he could divide an eight digit number by an eight digit number in his head.
http://www.princeton.edu/mudd/finding_aids/mathoral/pmc44.htm
"I have a story against him, if you want to hear it. I once told him that I just read, to my amazement, that somebody could multiply two 5-digit figures in his head. He said, "That's wonderful. I'll try it also. " I gave him two 5-digit figures. He went to the corner, as he always did when he wanted to think hard, looked up, and mumbled. He did that for about five minutes, and then he came back with a product. I said, "Wonderful, congratulations." He said, "Is it correct? " I said, "No, but to get any result is wonderful." It is very difficult, almost impossible, to multiply two 5-digit figures in your head. After all, for what purpose was paper discovered?"
>>8488164
Da Vinci was pretty smart but it's hard to compare people living in completely different eras.
>>8488181
What about John Forbes Nash Jr?
I know that Jansci basically created the field of Game Theory but whose discoveries were more significant/original?
>>8488164
Why did he steal other mathematicians works and claimed he came up with them if he was so smart?