Are you good at math /r9k/? What's the highest math course

the odds are 50%
either they die or they dont

highest class I've taken in linear algebra / diff eq / multivariable calc

I will need to take one more math class for my degree though

>>35100325
I took all the pure math major reqs in college before dropping out, as well as a graduate level linear algebra course.

I'm kind of out of practice right now, but I did prove to myself that I can pick up any math if I put my mind to it, so I'm confident saying I'm good at math.

Maths degree in the best uni in the world for it

>>35100382
>50
wrong

consider that the alien replicates and each consecutive alien would go through the same process

Trigonometry I want to challenge it and get into pre calc but I'm retarded. Anyone know a good way to study math and get good at it?

>>35100325
Highest I took was precal but I've taught myself linear algebra stochastic calculus some combinatorics and a literal numerical analysis. I got into it after I got into programminh

>>35100422
i've been good at math my whole life, so i wouldn't know how to become good. Did you try doing lots of problems?

>>35100422
I'm basically using free books o study math. I try to do the most allenging math I can and after a while shut like that is easy

>>35100420
Yeah there are two possibilities, them dying off or them surviving, so its 50/50

>>35100456
>>35100490
You niggaz think Khan academy is good for learning fundamentals or just doing problems until I learn it?

>>35100325
The first alien has a 1/4 chance of dying off
Everything after that is just life, man

>>35100388
What major did you switch to anon?


Or did you mean you dropped out of college? If you were able to take a graduate level course you must've had ok grades, right?

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>>35100521
that's a good start anon

what happens after the first alien

Human kills all aliens
0 percent

>>35100325
Trick question. Everything dies out eventually.

Whatever they taught in high school is the highest I've done. I want to try learning more but I cbfed.

>>35100325
Either Complex analysis (calculus with imaginary numbers) or Partial differential equations

I had a math minor

>>35101239
>Partial differential equations
any advice on self studying this?

Shit, meng, I have a masters in math.

>>35101299
>Shit, meng, I have a masters in math.
do the problem then big guy

C, right? It seems the most logical

>>35101744
>C, right? It seems the most logical
yeah I got C too

literally like a fucking retard. i simply cannot into math. i can add, substract etc but thats it.

>>35100325
>sqrt{2} - 1

I think.

>tfw three of my uncles have PhDs in math or related subjects
>ywn have a PhD in math
>tfw too stupid to ever achieve what my older relatives have accomplished

Sounds like someone should just write a simulation with n runs. Should be simple. I'd do it but on phone.

>>35102052
Wait its 1

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ummMMM answor is bi,mmwight?

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>>35100325
Intuition says 31.25%

Basically if the first alien doesn't reproduce on the first day it will either die (+25) or do nothing and have a 25% chane to die on the second day(+6.25).

If this scenario doesn't occur they'll grow exponentially every day.

There are a few other cases where they could die out in the first few days but they're more unlikely than the first two so let's call it at those two.

>>35101878
>>sqrt{2} - 1
yeah

>>35100325
a masters in mathematics

>>35100325
25% is chance that the first one will die without replicating. If the first one survives and replicates, and its replicates replicate too, chance that the whole species would die will just get lower.

>>35100325
Shiiiiieeeettt, more than 30%, id say 30-50%. So probably like ~40%

>>35100325
100%. Everything dies/ goes extinct eventually. Even red dwarfs will one day supernova

>>35101134
Confused desu seems like a bunch off infinite series. Never took probability or statistics so like wut. The first one gives 33.333333(etc)%

It even seems like an infinite amount of infinities series what the fuck.

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>>35102011
>>35102084
>>35101878
>>35102091
Made a simulation, 10,000 runs with 1,000,000 days each.
Ends up as as 33.9% chance of extinction.
No idea why though.

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Code if you want to check my logic, whipped it up quick so apologies for the sloppyness.

>>35102084
>>35102208
can you guys please walk through how you are intuitively thinking of this

>>35100514
Khan academy isn't that good but it gets you started. You really just need to hit the books daily

course classified specifically as a math course :differential equations

>>35102306
>Using a label even though it's not necessary

the fuck?
>a single alien
no replication possible. this is like this peter has 4 brothers january, feb, etc. puzzle, the options aren't really options

>>35102306
this is wrong. for on the second day if chance = 1, it should be aliens = 1. but you increased it. you should start with aliens = 1 and don't do anything with chance = 1.

>>35102384
Would the break break out of the for rather than just the if statement?
I couldn't be bothered to test so I just used a label to be certain.

Ok, so there's a 0.25 chance that the aliens go extinct right off the bat. There's also the chance that the alien does nothing then dies.
That's (0.25)^2 = 0.0625.
There's also the 25% chance that the alien replicates itself, but then they both die on the second day, or do nothing on the second day, and then die after.. That would be 0.25 to clone initially, then (0.25+0.0625)^2 for them to both die immediately, or without doing anything.
0.25*(0.25+0.0625)^2= 0.0244

If the aliens clone rapidly initially, then the odds of them going extinct later become impossibly small.
So I'm gonna add together the 25% chance that the first alien immediately dies, to the 6.25% chance that the first alien does nothing then dies, to the 2.4% chance that the alien clones itself then the clones die.
25% + 6.25% + 2.44% = 33.69

I'm gonna say the chances are slightly higher than that, and round it to 34%.

>>35102410
Shit you're right, and all the others are off by 1 too.
I'll correct and rerun.

>>35102324
Just step by step.
25% chance the ayyy lmao dies. So at lease 25%.
25% nothing happens. So the next day the ayyy lmao will again have 25% dead 25% nothing. If he dies that's 0.25x0.25, so 6.25%. Do that again and you get 1.56%, etc. Add that shit up and you get something getting closer so 33.333333333333(etc)%. Basically n+n^2+n^3 forever, where n is 0.25.
But that's just one of the series.

It's JUST a fucking branching process you stupid niggers

all you have to fucking do is solve G(z)=z where G is the PGF of the offspring distribution

So you have to solve a cubic where z=1 is known to be a solution

>>35102306
Am I looking at something wrong, but it looks like you only check for one alien to transform each day? Not each alien.

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>>35102306
>Java
>curly brace on the same line

>>35100621
Yeah grades were fine, just hit the social justice reqs and went off to get job instead. Not paying for any of that bullshit.

>>35102547
Er yeah, you're probably right, I forgot the other aliens would have the same behavior too.
Seems like both of my errors accidentally gave me a close to correct answer before.
I'll work out a way to implement that.

>>35100383
Same but I'm going for a math minor. Gonna take intro to partial diff eq

>>35102540

furthermore, the smallest non-negative root is the extinction probability

>>35102540
> calling people a retard because you took a specific math course and they didn't
you must be fun at parties

>>35100325
Uh highest?

One of these:
Ordinary and Partial Differential ewns series
Probability and Mathematical Statistics series
Linear Algebra series

Took a lot of others but hey were super easy and/or lower divs.

I make $300k starting xD

>>35102694
>parties
just where do you think you arE?

>>35102694
>no bruh I figured this stuff out myself at the age of thirteen git gud

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>>35100325
Solution, I think, if anyone is interested. It's what >>35102540 said.

If, at any point in time, you have N aliens, then the chance of all dying at this very time step (=only way for the population to end right now) is 1/(4N):

So at time step 1, the chance of the population end is 1/4.
Assuming at time step 1, the alien replicates itself, the chance of the population end is either 1/4 again, or 1/8 or 1/12.
Again, the chance of an end when N aliens are alive is 1/(4N).

At each time step with N aliens, the expected number of aliens at the next time step is
N*(0*(1/4)+1*(1/4)+2*(1/4)+3*(1/4)) = (3/2) * N.
I.e. if you have 100 aliens, your best bet is that at the next time step you have 150 aliens. That's the expectation value.

The expectation at time step 1 is 1/4.
And then there are on average 3/2 aliens and the chance becomes 1/(4*3/2) = 1/6.
At the next time step, we again expect a multiplication of 3/2 and so the chance becomes 1/(4*(3/2)^2) = 1/9 and so on.
Basically, as we have a multiplication factor >1 and a chance of all dying <1/4, for N to infinity the chance becomes 0.

>>35100325
>single alien lands on earth

any space faring race which has the ability to send representatives to other planets, which can reproduce on this level, are not anywhere near extinction

probability is 0, this species will never die out until the heat death

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All you guys saying sqrt(2)-1 or ~41.4% were right, managed to actually simulate this correctly now.
1000 runs of 35 days (Simulation gets a lot more demanding as you increase the days now that it's actually simulating exponential growth) gives 40.2%

>>35100325
After 5 or 6 turns I ended up with 15 Aliens

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And the final code used.

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>tfw highest math I've taken is algebra and geometry

>>35102939
Also, no I hate math

>>35102916
>Computers and shit

fuck this

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>>35102940
>JAVA

Holy fuck you don't use OOP for this kind of simple shit. Use Python or something christ almighty.

>class Simulation
Atleast 40 keks

>>35102569
The real WTF is not putting a space before it.

I'm pretty good I guess.
The highest math I've taken is real analysis and I'm always #1 or #2 on exam rankings.
But I go to a mediocre-ranked school and I feel like my courses are easy and I don't learn much.

what is the practical use of studying topology? what is topology applied to irl

>>35103194
Well you'll use it to study other branches of mathematics, in particular manifold theory which is applied errywhere in physics.

>>35100325
I'm not very good at math, but on the first day it has a 25% chance of dying.
If option b happens on the first day, then on the second one it will again have a 25% to die, so that's an extra 25x0.25% or 31.25 in total.
If option c happens on the first day, then the second day the species will have a 12.5% of going extinct, so that's 34.375%
In case of options d, it will have a 8.33333% chance to die out, so that's 36.458%

I'm pretty sure it approaches a number, since the additional chances will only get lower and lower by each surviving day, but I'm not sure how one should go about calculating this

>>35103044
But java is all I know right now anon :^)
I should probably look at other languages but I've always thought it was better to focus on one and get good at it rather than know how to program in 5 different languages but be terrible at all of them.
Maybe python would be good to learn for making simple shit like this though rather than having to fight with OOP like you said.

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Algebra because I hated school. I like math but I am too lazy to self study.

>>35103313
Here's a protip: Switch or learn C# alongside Java. Syntax is like 95% the same.

Remedial math in college. I passed so... Good

>>35100325
Discrete math for programming.
Got a 95% or better (an A to an A+) in all three classes.
Dropped out of college after this, with 6 classes to go.
If working with math is the future me working in the IT field... I have zero interest in it.
Takes too much time, and it's fucking boring.
I'll be starting law school next year.
Fuck math, and fuck the IT field.
BOOOOOOOOOOOOOOOOOORING

No
College algebra and I failed it.

I have a PhD in math so the highest math course I've taken is something like discrete geometry 2 or topology 2 or the other stuff I took towards the end of my PhD classes. Fun problem by the way, looks like this guy got it right:
>>35102728

>>35103401
I'm in IT. Software.

Had discrete math as well.
Never heard of it again, never used it.

>>35100325
>>35100383
Same thing with the linear algebra/ diff eq / multivariable

Linear algebra, multivariable calculus and discrete maths. For CS/SE.
I suppose I'm alright, but I fucking loathe it.

>>35103451
The only reason I got into IT is because I'm great at trouble shooting, and anything hardware related is so fucking ez mode it's like mega bucks for the most simple shit.
Math is where I draw the line, though.
That shit can get smooth the fuck right on out of here.

>>35100325
I got a B in advanced probability theory back in uni but I have no idea how to solve this

no

capstone in mathematics

>>35103451
Systems security was the sub field I was studying for.
Was wanting to get into cyber defense and counter intelligence.

>>35100325
Algebra 1 sophmore yewr was the highest i got.
Then i dropped out.

Odds are 100% they will go extinct eventually.

Nothing lasts forever.

>>35103375
Interesting, I didn't know that.
I need to know Java for uni so switching isn't an option though, but I'll keep that in mind for if I consider learning C# at some point.
Learning C seems more interesting though due to it's use in operating systems and being way more widespread, so that'll probably be what I look at next.

Easy, it's (.25)^x , where x = the number of aliens.

>>35100325
i would real analysis II

even though it was numbered 302 it probably is one of the hardest undergrad math classes

>>35100325
For pic related in OP.
Let me break it down best I can.
There may be a correct answer. But, the parameters of the question are vague.
The probability in mathematical terms, or in actual propability terms?

I'm assuming it's mathematical, since this thread is about math.

Long story short, the chances are one in 4 the first day, and exponentially incalculable after that.

Sure...
There could be a streak of a million mutations that result in more aliens, but there is an equal chance that there is just as many, or more instances of the alien dying to result in the alien (assuming this wasn't a play on words and only the original matters), and the aliens are extinct.

Writing out an algorithm to express this is more effort than I'm willing to put in.

>>35103652
This is wrong. Following the information you were provided with, the alien race has a chance of lasting forever.

>>35103746
so you have no idea how to answer it. please do not pretend. you should have phrased this post like, "i think the terms are vague, what are the criteria?"
what we are looking for is essentially the probability that we get a non-decreasing function out of the criteria. for instance, if the phrasing was, there is a 100% chance of the alien reproducing, we have a 100% chance of having a function that always returns an increase on the last known number.

there might be a better way to phrase this though. anyone have a better phrasing?*

*that's how you do it. you ask a question.

also, there's literally an answer. if you look it up you see it.

http://mindyourdecisions.com/blog/2016/10/02/can-you-solve-the-alien-extinction-riddle-tough-job-interview-question-sunday-puzzle/

>>35103824
No, it doesn't. There's a chance that they will replicate, but not for ever. Once an alien is dead, it cannot replicate any longer. EVERY alien has a 1/4 chance to die, so eventually, a situation will come about where all 6 quadrillion aliens roll the dice and ALL get the "die" outcome.

>>35104016
You'd think that, but you would be wrong. As the number of aliens increases, the probability of all of them dying out on a given step goes to 0 quickly enough that you get a convergent series, meaning that the total probability is less than 1.

The answer is one you retards.

>>35103976
If I cared enough to get that detailed, or look up the answer instead of guessing at it, I'd kill myself.
You should probably kill yourself.

>>35100325
partial differential equations
I fucking hated them, barely passed the course, and only because they were taught alongside complex calc and answered these parts of test almost perfectly.

>>35104058
>implying intellectual curiosity and drive is a bad thing

>>35104058
what i am saying is, you attempted to be intellectual, but you did not say anything. so you should have asked a question, or not spoke at all. i don't doubt that you are now very much like the fox, who is upset about the grapes being out of their reach. but i will also tell you this: if you wanted to understand this problem, i believe you could, easily. i am not very good at math and i have taken the required courses, so i understand.
but if you don't care, don't pretend. i would not come into your thread, pretending to know about what you cared about, then saying that i would kill myself if i cared.

Are we neglecting the fact that if the earth underwent a transformation that killed aliens, it would kill all aliens?

>>35104151
each day, every living thing undergoes a transformation.

>>35104168
The earth is not alive

Science:1
You:potato

>>35104210
reread the original post

>>35100325
basically high school level, general calculus, but I like puzzles and things.

day 1: 1/4
day 2: I list all possibilities, commas separate days, multiple letters are the fates of more than 1 aliums

a
b,a
b,b
b,c
b,d
c,aa
c,ab
etcetera, there are 4^2 possibilities
d,aaa
etcetera, there are 4^3 possibilities

the chances of the aliens dying after 2 days are 4^-1 + 4^-2 + 4^-3 + 4^-4, beginning to see a pattern I guess

b,a=4^-2
b,b,a=4^-3
b,c,aa=4^-4
b,d,aaa=4^-5

c,aa=4^-3
c,ab,a=4^-4
c,ac,aa=4^-5
c,ad,aaa=4^-6
c,ba,a=4^-4
c,bd,aaaa=4^-7
c,ca,aa=4^-5
c,cd,aaaaa=4^-8
c,da,aaa=4^-6
c,dd,aaaaaa=4^-9
for c it is 4^-3 + 2*4^-4 + 3*4^-5 + 4*4^-6 + 3*4^-7 + 2*4^-8 + 4^-9

d,aaa=4^-4
d,ddd,9a=4^-13
for d it is 1*4^-4 + 2*4^-4 ... + 4^-13

in total it is like this 4^-1 + 2*4^-2 + 3*4^-3 + 4*4^-3 ... + 4^-13 and each day a new set is added, so this has to do with limits, the amount added each iteration is x*4^-x, I don't know how to find the integral of this to see what happens as x approaches infinity, but I can cheat a little using a spreadsheet, with 20 iterations I end up with 0.44444444444444... from this I can safely conclude the equation is 4/9

>>35104129
>implying that obsessing over semantics and phrasing or "looking it up" is intellectual curiosity
No, anon.
That garbage you posted wasn't designed to incite any kind of discussion, or promote interest in intellectual curiosity.
It was a pathetic attempt at putting your mathematical prowess on display, while shitting on my lazy attempt at answering a question.

Don't try to act like your shit post was anything other than that, a shit post.
I'm all for intellectual curiosity.
Be honest here, that wasn't the aim of your shitty post.

I'm all for intellectual discourse and curiosity.
But putting up with shitty attitudes isn't going to get me in that frame of mind.

>>35104137
>asking a question is the sum of intelectual curiosity
Is this some new shit they are passing around in uni?
If I have a question, I'll ask it.
The way I wrote my response was design to illicit questions.
Not a shit storm of autism about me not asking a question.
Holy shit, calm down.

>>35104260
oh wait, it is 2*4^-3 + 3*4^-4 etcetera, so an iteration is (x-1)*4^-x

it is so easy to make a mistake like this but I'm a useless piece of shit so I get sloppy and do them, I guess normies and smart people don't do that

>>35100325
This makes no sense. First they say theres only 1 alien on the earth, then they say "every alien on earth", implying theres more.

>>35104336
you didn't think you had a question, but you had no idea what you were talking about, and so you are arrogant. i don't care that you are arrogant, but please do not post like this. you give people who have less knowledge than you the wrong impression. you are anonymous, so your word is just as good as anyone else. you stating drivel as if it were facts is just as good as a mathematician stating a good proof to someone who has no relevant experience. you mislead.

since your arrogance is misleading i asked you to please ask questions instead of pretending you know the answers, since your anonymous statements are to the help or hindrance of us all.

>>35100325
Convex analysis, but I have like 4 years left. Later on I have to go balls deep in partial differential equations, measure theory, stochastic processes and other stuff

>>35104428
It's to account for C and D where the alien replicates itself

After cloning, the copies will also roll the dice each day

>>35104336
alternatively, you can take up a name so that you may be held accountable for your statements. i do not want to be accountable either, so i do not take a name.

>>35104382
>I guess normies and smart people don't do that
You need to be way less self deprecating anon. You made a mistake, realised, and then corrected it.

Most Normies wouldn't even know where to start solving this problem.

>>35104382
i just got here but i second that you're a useless piece of shit

>>35104429
>talk about arrogance
>while being arrogant
Look, kid.
I don't know what you're on about. But, calm down.
If you want to debate and deconstruct my answer in a constructive way, fine.
Otherwise, take your pseudo-psycho bullshit and take a hike.

I suspect you aren't interested in any meaningful conversation about the answer I gave, though.
Only your concerns with how the answer was framed.
It's a weak place to base your arguments and baseless assault.

>>35104487
>take a name
Yeah...
Tried that before.
Then I just get more autistic screeching about namefagging.
There's no argument to be won here.
Just these anons taking a jab at me for kicks.

>>35104546
>>35104583
these poems suck

>>35104260
no actually it is (x-1)*4^-x after 4^-1

4^-1 = a
4^-2 = b,a
4^-3 = b,b,a = c,aa
4^-4 = d,aaa = c,ba,a = b,c,aa

>>35104043
The probability of all of them dying out will never be 0

>>35104546
it is okay that you have to resort to calling me a kid. i hope i can assuage your claims that i am arrogant by stating that i am arrogant, but at least i will admit it and know when i must ask questions.
i'm not psycho-analyzing you. i haven't said anything about your demeanor, your life, your mother, or anything near. i only stated that you are not helping anyone by pretending to know answers while anonymous. i will not try to guess who you are or what you are like in person.

>>35104583
i do not wish to make jabs at you. i only want you to ask questions instead of answering. no harm will come of this. i do not know who you are, you do not know me, you cannot be embarrassed here. i am only asking you to do something because that is what i think is right. i may be wrong.

I need to minor in math and I have almost completed all the courses for my major. Going to have to spend a year studying almost only math and I don't even like it.

>>35100325

About 40%, 40.1% or so.

This is because there's a 25% in round one, a 25%^2 if option b happens and then option a. So you sum up 0.25^n as n goes to infinity.

Then for the option c, you sum 0.25^2n as n goes to infinity and for option d you sum 0.25^3n as n goes to infinity. Round about 40%.

>>35104619
The probability of you not having the smallest penis out of all posters in this thread will always be 0

>>35104638
Well, now we're finally getting somewhere.
A bit of honesty.
Yeah, I'm arrogant as well.
That hardly factors into this argument though.

The entirety of this argument centers around your dispute of how I answered the question.
Which I have no problem with.
But, let's actually talk about.
And not just have this back and forth of jabs.
I called you a kid, because you're behaving like one.
Rude, imprudent, overtly and needlessly aggressive.
>want you too
Yeah, sorry anon.
Here again with that kid stuff.
Strangers on the internet don't dictate how I form and express my views/arguments.

If it's that jarring and offensive to you, just fucking ignore it.
Jesus.

>>35104619
correct, but it gets progressively smaller quickly enough that the sum of all the probabilities adds up to a finite number less than 1

I know it's hard to understand but you'll have to trust me on this one

>>35100325
100%. You may have to go trillions of days or more, but eventually you'll hit that extremely rare probability event that all of the aliens die.

>>35104260
using the spreadsheet I come up with 0.25 + 0.1111111
so I guess the equation is 1/4 + 1/9

I wonder what the connection with (x-1)*4^-x is

>>35104493
>>35104494
You are both right. Most normies are even more useless than me, but even so they treat me like garbage. My mother died of stomach cancer and I get depressed and fall behind for just 1 year in high school and for that I am expelled, all while they trip over each other to help Stacy if she so much as breaks a nail.

Instead of sitting here moping I should come to pace with the fact the world is full of shitty people and focus on fixing my life, I should help myself even if no one will help me and I am treated like a subhuman, though as I said, I am a useless piece of shit.

>>35104820
Incorrect. See here: >>35104043

>>35104844
you're not actually a piece of shit you fuckface. it's jokes! it's internet jokes!

>>35104752
i do not feel that i am being aggressive. i think that i am stating facts when i say that you did not know what you were talking about. reread your post. you said nothing. i'll take it apart.
>>35103746

>For pic related in OP.
>Let me break it down best I can.

okay, you're saying you have the knowledge.
>There may be a correct answer. But, the parameters of the question are vague.

okay, why are they vague? i think they are not vague, because this is a known question, but maybe i am not seeing it. my thought is, if you know probability, you know how to approach this.


>The probability in mathematical terms, or in actual propability terms?

i'm not even sure what this means. there is no difference. if you mean that every race will die out eventually, sure, but that is not what is being asked and i would think you would know that if you looked at the question as a mathematical question rather than an english problem or a philosophical question.

>I'm assuming it's mathematical, since this thread is about math.

>Long story short, the chances are one in 4 the first day, and exponentially incalculable after that.

you did nothing, gave no proof, and got the wrong answer.


>Sure...
>There could be a streak of a million mutations that result in more aliens, but there is an equal chance that there is just as many, or more instances of the alien dying to result in the alien (assuming this wasn't a play on words and only the original matters), and the aliens are extinct.

this means nothing. you almost aren't saying anything here, except for one part:

>equal chance
there is not an equal chance. that's the crux of the problem. you do not know what you are talking about.


okay, so that's out of the way. i was stating that you did not know what you were talking about, and now i have broken it down. i do not think i am being rude, i am explaining facts.

you resorting to calling me a child does not help your case.

thank you for your time.

>>35104820
You're assuming that just because the probability exists, that it will manifest.
There is an equal chance that the aliens will grow exponentially without end.
There is also a long string of endless other probabilities, how ever unlikely.
For example: the days alternate between one alien being born, then one dying for all eternity.
The probability is low, and there is a mathematical expression for this.

Fact is, after the first mutation not being a death... The string of algorithms and their variables related to calculating the probabilities would be near incomprehensible.

Which is what I was saying here. >>35103746

This is a normie thread. kill yourselves.

>>35104956
if they are incomprehensible, how come they are provided in an earlier link and are very concise

Currently taking Intro to Topology, Elementary Abstract Algebra II and Symbolic Computations. I pretty much hate topology, and my favorite of the three major modern branches so far is algebra, but I haven't taken analysis yet, so I might like that one more. I actually worry all the time that eventually I'll become retarded in comparison to my peers, and that even if I do well in all of my classes, I won't be able to do any theoretical research on my own. I'm only really interested in pure math, so I'm not sure what I'll do in my future if not go to grad school and become a professor.

on the first day with the first alien, there is a 1/4 chance

if the first alien is B, then there is a 2/4 chance of reproduction, etc etc etc

so basically without any catastrophic outside events occuring, even if the aliens die after the first day, past the first couple of aliens its almost impossible for them to go extinct

>>35104956
Yeah, I think you're probably right. You really couldn't calculate this without specifying a time horizon.

>>35104926
God damn it anon....
Do you really expect me to respond to that wall of text with a well thought out answer?
That's going to fucking take forever, then there's the chain of follow up arguments.
I'm not interested in that deep of a debate right now.
I'm going to bed soon.

Let me see if I can read over your text fest, summarize, and respond.
Give me a few minutes... Jesus.

>>35105025
You take time t and say as t goes to infinity, what does the function or set of functions do and does it have a limit

>>35104965
I'm trying to figure out if your underwear is filled more with your doo doo or your mother's doo doo. I've tried every type of measurement, mass, volume, spatial pattern domination, stench, monetary value. Every time it comes up 50/50. How did you do that? How is your underwear filled with EXACTLY the same amount of your doo doo and your mother's doo doo? What's the tiebreaker?

>>35105045
no, you don't have to. i think it's best we both quit. you most certainly are coming up with an argument, and i fully believe you are wrong. you will just tell me that i am a child, and i'm not interested. let's just leave it as a mutual "fuck you"

Algebra in high school. Fuck math though, that shit ain't for me. Much rather study language.

>>35104985
Jesus, the semantics in this thread are fucking real.
I'll amend my statement to comprehensible to the layman, or those with limited expertise in mathematics.

Also, I don't check links.
So, maybe you'd be so kind as to take screen shots or copy pasta the text?

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4th yr Math PhD student here, ask me anything

Pic related, its near my area of research

>>35100325
Got a B in GCSE Maths. Then I took it in college and got an E at AS level. It was one of those things I thought I was interested in but I knew I was shit at.

Funnily enough I've now ended up with a career in Bookkeeping so all that maths shite did end up being handy in the end.

>>35105225
ill-posed, what the fuck. explain that.

>>35105243
I have no idea what the fuck that means.

>>35105270
why are you studying ill-posed problems? why not well-posed problems?

>>35105100
No I fully intend to argue on the merits here, and counter the way you deconstructed my statement with your imposed bias as to how to answer at all.
You're arguing that I don't know everything, or even what I'm talking about in this case.
Which isn't the case, at least not with the former, at least not entirely.
Picking up a line of study outside of my area of expertise just to answer this one question is absurd.
I was being lazy, and you went ape shit over it.

For more insight into what I'm talking about here, see:
>>35103401
>>35103500
>>35103572

I didn't feel like putting the effort into answering this question seriously.
As a result, this stupid fucking string of arguments took place.
Seriously though. Calm down anon.

>>35105174
Do you post those smug animu questions on /sci/?

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>>35105303
Still, no idea what the fuck that means

I just organise accounts damnit

>>35100325
Just Calculus with Analytic Geometry 1, taking it now, probably what they learned in high school but I never went to high school.

>>35105328
The latter, I meant.

>>35105410
you said pic related and i'm asking about the very first words in big print on your picture.
OH GOD DAMMIT I REFERENCED THE WRONG POST
FUCK FUCK FUCK FUCK FUCK FUCK FUCK i mean >>35105174
i'm not sorry and i do not apologize but it was completely my fault.

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>>35105571
ok massive sperg

>>35105713
fuck you, you should have figured it out and helped. i can't be 100% responsible for my posts. anime sucks and is boring.

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>>35105781
Well I couldn't have figured it out, and even if I did I'd rather watch an anon suffer and realise his stupidity than spoonfeed him like it's his first day on the internet

Anime is fucking shit but it shits people up so I post it incessantly

>>35105899
the post i was referencing was right above yours. you didn't even have to read the words, just look at the picture. you good-for-nothing faggot. i bet when your dad leaves the room after raping you and he has your shit and blood all over his dick, and he asks if you could help a brother out and tell him if he has any shit and blood on his dick, you say "huh huh i unno i thtoopid!"

>>35105965
and hold up a picture of an anime girl. fuck i forgot that part.

>>35105965
Jokes on you, I don't know my dad

>>35102637
arraylist with each alien as an item

>>35106100
fine, sorry you had to find out this way, but the guy who's been raping you is actually your dad.

>>35100325
Algebraic Geometry / Algebraic topology. (Other graduate reading courses as well. Wanna math PhD)

>>35103451
Kill yourself, but actually. You are a fucking enginee scum that will never know the beauty of high level mathematics. You are a useless pond scum. Please die for me, you fucking waste of a brain.

>>35100325
I dropped out of a pure math PhD at one of the top 5 departments in the US. Believe me or don't; I don't care.

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>>35106737
I believe you anon but I am curious why you did

also

>>35106737
>>35103444
>>35105174
I want to take a continuum mechanics class next semester but I feel I am very under prepared for the math

can you give me any tips on self studying on the math I will need over the summer? I last took diff eqs, linear algebra, and multivariable calculus last year, and I haven't used linear algebra or diff eq stuff at all, and I feel I forgetten nearly all of it

>>35107455
Find problems and do them. Read through textbooks so you can follow the theory as well as the practice. Maybe look up some online courses or lectures.

>>35105359
No, anime is for losers. Jk. Not my thing
>>35105571
The nomenclature is due to Hadamard. A pde(partial differential equation) is considered "well-posed" if 1. A solution exists in some function space 2. It is unique in that space and 3. The solution depends continuously on the given data e.g. initial and/or boundary conditions. An ill-posed problem fails one of these. Hadamard erroneously conjectured that ill-posed problems had no physical importance, but was later proven very very wrong. For instance modern stealth technology would not exist without theory for these problems.
>>35107455
Sorry, dont know anything about continuum mechanics :( what is it?

>>35100325
I have a question. if there are lots of aliens, can they all die in one day, or can one alien die a day?

>>35107855
>I have a question. if there are lots of aliens, can they all die in one day, or can one alien die a day?

all aliens dying in one day is definitely a possibility. But remember that the population is increasing over time, and that there's only a 25% chance of each individual alien dying.

So if there are 10000 aliens... the probability of that happening is very tiny.

>>35107755
>For instance modern stealth technology would not exist without theory for these problems.
Can you explain more about this please?

Is continuum mechanics like food?

>>35108058
Stealth is really the question "if somebody scans an area, can they detect X object?"

You can pose that as a question in "scattering theory" I.e. if you shoot some EM waves at an area and say you already know there is an object there that will "scatter" the waves, what pattern will the waves scatter in given the type and shape of your object? That is not physically relevant as if you were scanning for stealth material you would know how the wave scattered by measuring but you wouldn't know what the object was.

You can pose this in a mathematical setting using something called the Helmholtz equation. I believe these problems are generally ill-posed.

Another example is the classic "can you hear the shape of a drum" I.e. can two differently shaped drums produce the exact same acoustic waves or is the sound unique for each drum shape.

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>>35105174
How would i go about finding the bounds for this problem? I can make the substitution for all values of x and y to get it into a form of du dv. but i am unsure on how the bounds change.

Also what are some general tips you can give for solving math problems. My professor gives hw that is around 10 problems but it takes me around 5 hours to complete them. I like the challenge but I also feel like a fucking idiot. He doesn't give examples during lecture and the book has baby tier examples.

>>35103444
>>35105174
>>35106600
>>35106737

How did you guys get interested in Math?
What do Math PhD students do?

What does math research look like? What is math research trying to accomplish, just making math a more complete system?

it all comes down to the first day, after that the probability goes down significantly. the highest probabikity is day 1 since there is only 1 alien with like 4 options. giving it a 25 percent death chance

>>35108863
>How did you guys get interested in Math?
My dad had me doing extracurricular math from a young age. I've always been interested in problem-solving and puzzles in general.

>What do Math PhD students do?
I started by doing a two year Masters program, then transitioned into a PhD program at the same university. The first four years of the combined programs consisted of two classes a semester (four a year), plus teaching (once I got a TAship after my first year) and research (once I started doing extracurricular research). Once I settled on a thesis topic (I bounced around a few times between fields), the research turned into thesis work. The last two years were only teaching and thesis work, since I was done with my classes. I also had several qualifying exams, in both programs.

>What does math research look like?
Speaking as someone who studied pure math, not applied math - math research means finding a sufficiently specific subfield or problem and then investigating it, trying to find out more about the relevant system.

>What is math research trying to accomplish, just making math a more complete system?
'Complete' is somewhat of a misnomer. Math is invented. You define some objects and then examine how they work, uncover interesting truths about them. There is always room to grow. Math is full of fields and subfields where new research is always adding more to them. The closest analogy I can think of is that math is like an enormous quilt that we all help sew. You start in the center of the quilt where everything is simple and familiar and move outward during your schooling. As you become a PhD student you come to the edges of the quilt and meet people sewing new patches onto it. You find a hole in the quilt or an edge that has a theme you like, and you add your own patch. If it's sufficiently well-formed and beautiful, you get a doctorate.

Mathbros, I need help with integrating using partial fractions

Integral of ln(x^4 - 1) is kicking my ass. I tried to use Integration by Parts but I dont know how to simplify the Integral of v*du down by using partial fractions.

What kind of undergrad mathematics should I go into if I want to get rich though the stock market or sports betting? Statistics?

>>35109493
Try with this

x^4 - 1 = (x^2 + 1)(x^2 - 1)

>>35100325
The answer is 100%. All things die in the end.

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>>35103375
As a c++ newb, what should I learn alongside it besides java for maximum monayz?

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>>35100325
>Infinitely long timeline
100%
On an infinite timeline the chance of extinction is 100%.
It will eventually fucking happen. On a long enough timeline the chance of flipping heads on a coin a million time in a row is a hundred percent.
>Probability over periods of time doesn't work unless the period of time is limited, otherwise there's a 100% of whatever is the state of entropy
>In this case, when all the aliens die nothing else can happen
>Therefore the one thing we do know for certain will happen eventually is all the aliens will eventually go extinct
>In addition to that, there is an implied limit on the timeline of the Sun swallowing the Earth. That'd kill the aliens too.

>>35100325
Math PhD student here. Drunk and willing to field questions.

>>35109625
I did IBP and for the Integral of v*du, I was left with integral of 4/(x4 - 1)*dx which I then broke into A/(x - 1) + B/(x + 1) + (Cx + D)/(x2 + 1).

How would I solve for C and D? i for sqrt(-1)?

I did a MSc in math

>>35110095
Halp find indefinite integral of rad(1+rad(x)). Im in calc 2

>>35110172
No, I have to deal with you little shits who want people to do your homework for you every damn day.

>>35110195
Its not homework, its review for my exam. I tried trig sub and nothing is working. I dont need the work done for me, just some guidance is all. A general step by step with words is enough for me

>>35110095
could you help me with this >>35108561?

>>35110242
>A general step by step with words is enough for me
Just FYI, this is basically equivalent to solving the problem. Math is communicated entirely in words; doing it in symbols is not considered somehow better. A lot of people fall into this trap of "doing it in math" or "math is a language."

That said, it's just a couple of u-subs. Try u=\sqrt{x} and try to go from there. What you get is pretty standard.

Initially the x has a 33% chance of death (thus extinction) but after that its risk of extinction decreases to less than 10% the next day.
In literally a week the chance of extinction is less than one percent.

>>35100325
Yeah I've solved this question once before. 11 percent or something.

>>35110580
Oh sorry it was 41 percent. It was a good question desu.

>>35100325
Highest?

College Algebra.

I aced that course and got an A+

>>35110836
I loved taking it. I don't know advanced mathematics but I'd say I'm proficient in College Algebra and Trig. I started teaching myself calculus recently. I really like math. I think it's a beautiful subject and it is everywhere and everything.

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>>35101939
Just become a doctor, pharmacist, or lawyer. Those are all far better paying and more respected jobs than mathematician.

>>35107455
> curious why you did

the subject lost its appeal to me and i felt that completing the degree would be a poor investment of 5+ years of my life. I was also put off by the poor academic job prospects, and the realization that it would be very hard (and perhaps rightfully so) to "sell" a math degree to employers or even academics in other fields. Also i was just generally depressed and in poor spirits.

>>35111395
and miss out on the 300k starting salary? foh

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>>35111578
Stale /sci/ meme. Most mathematicians are unappreciated and impoverished. Become a surgeon or other specialist and make a literal 300k starting.

>>35111395
t. Guy who doesn't actually like science and math and only cares about money.

>>35111636
DELET THIS
REEEEEEEEEEEEE oreganoformuloi

>>35100325
The probability is 1, for if this happens infinitely there will eventually be one day where the aliens all die.

>>35111636
People who can't appreciate the sciences and math are brainlet plebs. They only care about money and sex.

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>>35111668
I do like science and math. I'm majoring in mathematics. but I don't want to wageslave in academia for a society that despises scientists and mocks mathematicians openly (a la Big Bazinga Theory). So I'm going the med school route after undergrad.

>>35111736
If you want to go to grad school for science and be surrounded by poo-in-loos, sadistic professors, and be at the mercy of inept bureaucrats then go right ahead.

I suggest finding a field that pays well where you have some power that way (((they))) can't take advantage of you as much.

>>35111773
lol good luck landing a job in either business and law

everything is saturated af now

>>35111942
>either, and

maybe for brainlets like you it is.

>>35111942
True. If you get a generic business degree from a state school and don't bother to network then you're going to have a bad time. Ditto for law school.

But there is certainly a lot of potential in business or law for a motivated individual. One area of law that isn't saturated from what I understand is patent law, which requires a STEM background. And businesses definitely like for engineers to go into management. You just have to do something to make yourself stand out, and not think of college, as so many do, as a four year party. It might've worked for the baby boomers just to get a degree and be set, but not our generation.

>>35100383
Excuse me but is that what you have to do in order to get a degree in the USA?
Because I had all that stuff in the 10th grade in school

p = (1 + p + p^2 + p^3) / 4
p = 0.414

or p = 1, second law

>>35100325
calculus

original comment

>>35102728
>>35112218 here, I was seeing if anyone else noticed the recurrence. might be the only one.

>>35100325
>What's the highest math course you've taken?
intro continuum mechanics

Currently taking calculus 2 and it's so fucking easy.

>>35112453
What topics have you covered

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>>35112351
>intro continuum mechanics

teach him >>35107455

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>>35112489
>What topics have you covered
not gonna tell you

>>35100325
100% because monkey at keyboard

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>>35112453
>>35112489
yea same, I'm taking calculus 2 and I've made a 100 on both of the tests we've taken so far. Isn't this supposed to be the hardest calculus sequence? The casual filter for wannabe engineers? It's my easiest class of the semester. English literature is actually way harder.

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>>35112531
>>35107455
Oh man I forgot most of it. But our book covered some prerequisite material. Pic related.

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>>35112940
>Oh man I forgot most of it. But our book covered some prerequisite material. Pic related.
what's your major? Why did you take the class?

what's that textbook called

>>35112838
If you "get" the concepts, all of the calculus courses are really easy, so congrats, you're in for smooth sailing as far as you want.

>>35113058
>what's your major?
math CS dual

>Why did you take the class?
It seemed interesting, and I probably thought it would be useful for physical simulation (was doing graphics stuff in CS too).

I also didn't know what I was doing. I never took numerical analysis and I've never used any advanced mathematics or anything gamedev-related professionally.

>what's that textbook called
An Introduction to Continuum Mechanics by Morton E. Gurtin

>>35108561
http://www.wolframalpha.com/input/?i=integral+of+(integral+of+(x%2By)e%5E(x%2By)%2Fx%5E2+dy+from+0+to+x)+dy+from+0+to+1

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I'm not good at math at all. I guess high school level math is the highest math course I've taken.

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>>35113265
What exactly is continuum mechanics used for?

Do you have enough skills to work for pixar anon?
or autodesk?

>>35101275
RD Sharma XII grade Part 1. Best Poo in loo textbook for this. Will probably suffice for American uni level.

>>35113357
I don't care about the answer. I want to know how the limits of integration change. when the variables are swapped out. Maybe i should just ask /sci/.

>>35113872
>RD Sharma XII grade Part 1
Are you Indian?

Is this for the IIT entrance exams?
I heard the IIT entrance exams were crazy hard but how is it possible they can have a bunch of higher level college work on them if these are college entrance exams?

>>35114046
In college they teach different stuff. College is only a tenth as difficult as school. This isn't for maths colleges. Engineering maths is very light compared to school maths. Actual maths courses are not really sought after, and pretty shit, from what I hear.

>>35113608
Sorry if I oversimplify this but idk your background. Continuum mechanics is sort of like the physics inside materials, rather than just separate objects interacting. You use it for fluid flows, bending or breaking solid objects, etc.

I applied to Pixar long ago but I did not get a job. I don't recall if I applied to Autodesk.

>>35114211
What age do Indians go to college?

Is there a sixth form system in India like the one in the UK, where secondary school students go to some intermediary institution for college entrance testing and more specialized classes after high school?

Would the average top level indian student prefer to go to an IIT school or an American school, what do the honors type students generally aim for?

>>35100325
I'm at logarithms but still trying to comprehend that shit.

Want to become applied math major so, I got big hopes.
Will reach either to mathematical finance or MBA Finance
>inb4 Chad/Jew

Since in infinite time, all possible outputs are guaranteed to occur, and since death is a possible output, then death is 100% likely.

>>35114464
>Since in infinite time, all possible outputs are guaranteed to occur, and since death is a possible output, then death is 100% likely.
that's not true.

Think about this joke:
>An infinite number of mathematicians walk into a bar
>The first orders a beer
> The second orders half a beer
>The third orders one quarter of a beer
>The fourth orders one eighth of a beer...

>The bartender pours two beers for the entire group, and replies "cmon guys, know your limits."

Even though every mathematician wants beer, the amount which they want is less for each consecutive mathematician.

Because of this, the amount which some mathematician will want will eventually converge, in this case to 2

This is kinda similar to this question.
Even though every alien has a probability of dying, 25%, as there are more aliens the probability of all of them dying decreases. (as population increases, probability of extinction decreases.)

So, like above, the probability of extinction converges rather than approaches zero

in this case it converges around 41%

>>35114542
>Because of this, the amount which some mathematician will want will eventually converge, in this case to 2
shit

I meant that the amount which some mathematician will want will be negligible

so for ALL the mathematicians, only 2 beers are needed

but you knew what I meant tho

>>35114573

so you're saying that as the population grows, the dwindling chance of extinction becomes negligible?

>>35114573

surely after an infinite amount of time, the event will still occur, regardless of the odds?

>>35114711
>>35114730
>so you're saying that as the population grows, the dwindling chance of extinction becomes negligible?
Yeah

even though there is a non-zero probability on any one day that all aliens die at once, the cumulative probability that the aliens will die is around 41%.

think about this - if there were an infinite number of aliens, each with a 25% chance of dying, what is the probability they all die over an infinite amount of time?

infinity times .25 is the chance that all aliens die - this is approaching 0
infinite time - this is infinity

what is 0 times infinity, it is undefined, not infinity

The chance all die at once is so small that it is negligible. Even though it isn't zero, it isn't really a real possibility.

So it doesn't really add to the cumulative probability of extinction

>>35114799

I guess I see what you're saying. It just doesn't really make sense in my head.

>>35100325
I was better than most people which isn't saying much. Calculus AB in high school was my limit. Ended up with a C and didn't bother taking the AP test. 5 years after dropping out of college and and I can barely do more than basic algebra.

>>35114884
>I was better than most people
>calc AB was my limit

even most people in this fucking thread are above you

how can you even justify saying calc AB puts you at better than most?

>>35114980
You greatly overestimate the intelligence of the average person. People are dumb as shit. And I also know I'm dumb as shit in comparison to millions of people.

100% chance of extinction. If you don't know why you're retarded.

>>35109804
As t->infinity, the chance of them all dying at once shrinks faster than the time scale makes it likely to happen, so there's a definite chance it will never happen.

Entropy in a thermodynamic sense doesn't apply because the alien reproduction violates entropy anyway.

>>35115064
>If you don't know why you're retarded
>about to spout some "le heat death meem xD" answer

if you type a post like this you are retarded

>>35115121
Except the timescale is infinite, and the probability is never zero.

It may take 10^100000000000000000000000 lifetimes of the universe to happen, but *eventually* it will happen.

By the time I graduated HS I had already 3 semesters worth of math credits. I should have graduated in 3 years (I had bio and Chen credits as well) but I drank heavily and started using drugs. But math was one of my specialties when I was sober. I got a bachelor of science in electrical engineering but failed to get my minor in math because at the end of my college career I just dgaf. Guys don't do what I did it was aware of money and it affected me years after.

3D calculus was most fun
Differential equations was way easier than people made it out to be
Limits are fun as well
Linear equations a slog
Ultimate form of mathematics is applied in physics, with basic mechanics being the easiest to apply to the real world, quantum physics should only be taught if you pass an interview

>>35115145
>probability is never zero.

but it decreases with each cycle
thus it eventually converges to some non-infinite number

>>35115173
Indeed, but if the probability of something is non-zero, then it's going to happen on an infinitely long timeline.

It doesn't matter is the probability is a 0.01^1000000000000000000000000000000000000000000000000000 chance, it will happen over an infinite timeline.

>>35115145
The chance of it happening decreases faster than the time scale advances, so there is a chance that it never happens, even over an infinite amount of time.

Think of it like this:

As t->infinity, the number of aliens also goes to infinity because on average more than one alien is born each cycle.

The chance of an infinite number of aliens all dying simultaneously is effectively zero. Thus the aliens escape extinction.

Applying mundane logic to the concept of infinity doesn't really work, see the Paradox of the Grand Hotel.

>>35100325
Weird question. As time goes to infinity the probability goes to 1.

All you need is an event that kills all aliens at once. The probability of that on a singular day is very small: (1/4)^N where N is the population size, and the population grows exponentially.

But as time goes to infinity you're bound to have that event.

>>35115234
Doesn't matter. Once again, it may take 10^100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 time the time it take for the Universe to experience heat death, if the probability is non-zero it WILL happen on an infinite timeline, period.

Infinitetly approaching zero is generally effectively zero, but the infinite timeline make the fact that it's not *actually* zero important.

Differences in heuristics. "effectively zero" is treated as zero in science because there's no such thing as an infinite timeline, and in pretty much any circumstance they would just be one and the same.

>>35100325
Very slightly above 0.5 origigifugugu

x = 1/4 + x/4 + x^2/4 + x^3/4

Just solve for x.

>>35115203
>>35115246

you are only seeing the infinite-ness on one side of the issue anon

after 10 days, there's 10 chances for all the aliens to die.

There's also 10 chances for all aliens to reproduce, maybe more than once.

So, over infinite days, there are also INFINITE ALIENS.
After 10000 days, there will be MORE than 10000 aliens.

is there a probability there are 0 aliens, or 5000 aliens? Sure. But it is more likely that the number of aliens will be greater than the number of days which have passed for any given day (except day 1)

You see, the average result of one day with one alien would be 3/2 aliens. Since the replacement rate of aliens is greater than 1, although they do eventually always die individually, as a group the aliens will live on

>>35115306
That's why the state of entropy is the one that is certain to happen over an infinite timeline.
When there are 0 aliens, nothing will ever change then. That is the final state. Any other state leaves open the probability that the state of 0 aliens will still occur.

>>35115306
Yeah, I guess you're right. Once you assume that time goes to infinity you also have to take into consideration the fact that the probability of an extinction event cannot be argued as simply (1/4)^N because that's simply 0 as N \to \inf.

I looked at it parallel rewrite rules with one terminal state. Intuitively for me it seems like they should die off but I don't have any arguments to support that intuition.

>>35115335
The chance of infinite aliens all dying is *infinitely* unlikely to happen, BUT there is also an infinite amount of time for it to happen.

When two infinities clash, the "winner" can be determined by looking at rates and using limits.

On average more aliens are born than die, so there is a good chance they never go extinct.

>>35115417
But the point is
>When aliens are alive, there's still a chance they go extinct
>When aliens are extinct, there's no chance they will come back

>>35100510
When you play the lottery there are two possibilites, you win or you dont so using your logic this must be 50/50. So why dont half the people win?

>>35115448
And the chance they go extinct, as t->infinity, is about 41.4%.

>>35115448
>there's no chance they will come back

this point is not as important as you are making it out to be anon

>>35115532
Over an infinite timeline the state of entropy/ the state where things can't change will always be achieved.

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the answer is simple. it's 25%.

scenario a. extinction (25%)
scenario b. nothing (25%)
scenario c. +1 (25%)
scenario d. +2 (25%)

any outcome thats not A or B will decrease ad infinitum the odds of extinction but its impossible to calculate.

>>35115607
>but its impossible to calculate
t. brainlet

See >>35102728

>>35115614
but thats wrong. go over scenario C and D

c. 2 aliens now each with a 25% chance of dying, both outcomes are independent of eachother but the likelihood of them both getting scenario a is <25%

d. 3 aliens now, same as above except even more unlikely that all three will get scenario a

>>35108561
0 <= v <= 1 + u
0 <= u <= 1

t. multivar fag

(just solve for x,y in terms of u,v then substitute)

>>35114309
>mathematical finance

You want to be a quant anon?

>>35100325
they'll all die eventually, no matter what there's still a chance that the earth is blown up or overpopulation or disease. same with humans, some day we'll go extinct

>>35115246
>>35115274
The probability is non-zero ON an infinite timeline, friends. It has already been taken into account. As in, if you draw all possible branches stretching to infinity, on a 2-\sqrt(2) fraction of them, the aliens NEVER go extinct.

You are confusing two things:

1) A SINGLE event happening with non-zero probability will EVENTUALLY happen (true; e.g. flip a coin enough times and eventually you'll hit a streak of, say, 100 heads, an "almost certain" event)

2) A SERIES of events has a non-zero probability will EVENTUALLY happen (false; "eventually" has no meaning here - we are talking about a series of events, in this case reproduction of aliens leading to extinction, and this probability has already been calculated to be non-zero and different from 1).

I'm going to adult night school to boost my math mark so I can go to university next fall.

I've been out of school for 4 years wat do I do I got a 65 last time.

is there a good site where I can brush up on things so I'm not overwhelmed?

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>>35116031
what kinda stuff are you doing anon?

I might be willing to tutor you / help you out occasionally

I'm not very good at math. My highest math course was calc 3. I got a B- in calc 1, C in calc 2, and a B+ in calc 3.

>always loved math, told people its my favorite subject
>first semester of college, placed into 121, precalc.
>have this teacher, alcantra, keeps telling students how unprepared we are and how prereqs are the sole reason students fail
>starts teaching, random complicated ass shit I've never seen before
>decide to drop and take math 90 later
>later ends up being like 4 years later because I'm a piece of shit and no ambition
>was in school whole time though
>math 90 so fucking easy, just algebra, get paid like 1000 bucks tutoring this older army dude
>take 121 again, different teacher, way fucking easy and enjoy it a lot
>go to take 122, trigonometry.
>it's fucking alcantra again
>stay in class this time
>he rants about politics and beer every day
>nobody is able to answer his questions in class
>he pads his fucking exams, giving you a minimum of 40%just for putting your name
>average score on first exam was 65%
>realize this fucking awful teacher is the reason I didn't major in math 6 years ago and actually potentially make something of myself
>currently failing trig

He teaches as if he is teaching another math professor. He goes fast as fuck, skips details and goes on random calculus examples that throw everybody easy off and confuse us. I fucking hate this piece of shit so much. I miss my old teacher she was great

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>>35103134
>>35102569
orig.java

>>35103001
sry you're a retard anon.

>>35100325
100%

Even if the aliens replicate to a ridiculously high number, they can all die at once given an infinite timeline and infinite number of chances, no matter how small the chance.

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>>35117240
i got it to be 41%

Yes, and I have a master's.
Highest courses I've taken are functional analysis, algebraic geometry and algebraic number theory.
To solve this, consider the probability p of extinction. Either the alien dies, does nothing or produces new aliens, each with probability 1/4. Now, the probability of extinction assuming the alien dies is 1, the probability assuming it does nothing is p (nothing will have changed), the probability assuming it spawned a new alien is p^2 (the two aliens create two independent branches, each with the same probability of extinction), and the probability assuming it spawned two is p^3.
Consequently, we get the equation p = 1/4 ( 1+p+p^2+p^3). This equation has the obvious solution 1, and the two other solutions can be shown to be [math]\sqrt{2}-1[/math] and [math]-1-\sqrt{2}[/math] with the quadratic formula.
Now, the probability of extinction is lesser than 1, though I don't quite have the argument (I think it has to do with the fact that the expected value of the population goes to infinity but I can't link the two), hence it has to be sqrt(2)-1 ~ .414

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i gan onle do 1 blus tree equel 4

>>35100325
what really makes this difficult to calculate is the fact that the deeper you go into the recursion, the more possibilities you have to account for:
1: 3 possibilities (b,c,d)
2: 3+15+63 possibilities (ab,ac,ad,aab,aac,....)
So basically unless you activate your autism to a level beyond human understanding, this is pretty much impossible to calculate.
If you only focus on the first recursion layer the chance is 1/4, if you add the second layer it becomes 1/4+1/4(1/4+1/16+1/64), and from the third recursion on, it's basically too much effort to calculate (with pen/paper).

>>35100325

P(a) = 1/4
P(b) = 1/4
P(c) = 1/4
P(d) = 1/4

P(a,a) = 4 * 4 = 1/16

P(a..alienCount) = 4^alienCount = 1/4^alienCount

Where alienCount is the number of aliens when the transformation begins.

>>35118823
This is me:

>>35119783

There is no recursion. When an alien replicates itself. it is not said to trigger the replicated aliens into transforming (They exist after the transformation ends).

It's just dependant on a variable number of aliens, easily expressed with...variables.

Feel free to tell me I missed something, I dropped out of school but watched 4 minutes of this video.

https://www.khanacademy.org/math/precalculus/prob-comb/compound-probability-of-ind-events-using-mult-rule/v/compound-probability-of-independent-events

31.25%

I just pulled this from my gut instinct but I'm sure it's right