would multiple genetically cloned humans really have varying personalities if they were all cloned from the same person as they do in Star Wars?
>>7805406
Yes, environment and experiences form personalities moreso than genetics.
>>7805406
you cannot 100% control environmental influences which heaily influence personality. even if you tried your best to build 2 perfectly identical chambers and locked in 2 clones for a certain amount of time, they might still develop different personalities because the ceiling light in room 1 has a 1nm shift in wavelength compared to room 2 or the air has 0,1% more oxygen in room 2.
>>7805406
Identical twins.
Why can't the Kernel in the Volterra integral equation ever be separable? My textbook says it's obvious due to K(x,s)=0 at s>x, but I don't see how that helps to prove it.
u(x) = f(x) + \int_a^x K(x,s)x(s)ds
[math]u(x) = f(x) + \int_a^x K(x,s)x(s)ds[/math]
I tried to somehow use the fact that it can be rewritten as the Fredholm integral equation in a triangle area:
[math]\hat{K}(x,s)=\begin{cases}
K(x,s) & a\leq s\leq x\\
0 & x\leq s\leq b
\end{cases}[/math]
but so far no luck.
>>7805285
Assume separability. For the zeroing condition to hold, the s-dependent functions in the expansion of the kernel need to also depend on x (or how else do you make them zero?). This clearly contradicts separability.
Can /sci/ recommend me a good, digestible textbook on Fourier Analysis? I know how it works but I want something that can give me stronger intuition.
In exchange I'll give a recommendation: I've reference-read about 30 different Abstract Algebra books and Pinter's "A Book of Abstract Algebra" is my favorite general purpose one. I don't think it's often assigned but it's great for building intuition.
What do you think of Springers Algebra Chapter 0? And if you know any good books for Functional Analysis I'd appreciate a rec.
>>7805115
Not OP, but
>What do you think of Springers Algebra Chapter 0?
I like it for the way it introduces categories and how they're intertwined with algebra.
>And if you know any good books for Functional Analysis I'd appreciate a rec.
I heard Kirillov, Gvishiani: 'Theorems and Problems in Functional Analysis' is p good.
What's the probability that a coin ends up on its side in a coin toss?
depends on the thickness of the coin you fucking retard.
>>7805084
Doesn't it depend on the relative position of the moon?
>>7805084
Oh yeah? And what equation, theorem or peer-reviewed paper supports that?
Sup /sci/
I have the opportunity to graduate with two degrees in chemistry and mathematics.
I've taken enough classes and earned enough credits to get BS degrees in both however my college is really bizarre and will let you graduate with only one BS degree (the other has to be BA, MS, etc.).
So my question is this:
Should I graduate with a BS in Chemistry and a BA in math or a BA in Chemistry and a BS in math?
I'm not really sure if BS vs BA makes a difference in the job market.
>>7804478
I'm gonna go out on a limb and say get the BS in Chemistry. There are a lot more industrial applications, and if you're American, you can become an ACS certified chemist with a BS (I believe you can't with a BA). A degree in maths will look good no matter what.
>>7804478
>I'm not really sure if BS vs BA makes a difference in the job market.
It probably doesn't, but I'd go with BS in chem, personally.
More importantly, wtf is going on in that pic?
>>7804514
>A degree in maths will look good no matter what.
I feel kinda gypped though. I've earned enough credits for two BS degrees :(
Does the ACS certification really matter that much?
>>7804515
>It probably doesn't, but I'd go with BS in chem, personally.
That's what I was leaning towards. Chemistry is a science and math is an art so it only makes sense to do a BS and BA in the respective fields.
When did functional analysis turn into a meme field?
>we already have a large zoo of function spaces
>b-b-but muh functions with this property are so special, they deserve to have their own function space with its own special name and symbol
>let's prove theorems about them, just for the sake of having proven theorems about them
Literally biology tier at this point. Every idiot thinks the can make up his own category regardless of whether it's meaningful or not. Enjoy your stamp collecting, functional analysis fags.
Tfw math will advance so fast in your lifetime that there's absolutely no chance of learning it all
>>7804233
It already has. Where have you been for the past few decades?
>>7804239
Nah, it was like that for hundrets of years. Of course, at some point people came and cleared up subjects and made them accessible from simpler perspectives. There are so many many topics with hundrets of papers on them that people lost interest in and nobody today really knows about them.
e.g. you never learn much about
https://en.wikipedia.org/wiki/Heap_%28mathematics%29
and that's at least a simple to define algebraic concept. Things like
https://en.wikipedia.org/wiki/Branching_quantifier
are cooked up and lost in time. Those things survive that solve age old problems and you never hear about the thousands of mathematicians that tried and failed
Is Banking a Science?
>>7804122
uses economics and maths and psychology and statistics and comp sci., so I guess you could argue it's a mixture of a ton of different sciences
>>7804122
Bump for science!
banking is not a science in the same way that car mechanics is not a science
you are not explicitly _investigating_ something. and whenever you are learning something new about your topic, it is not about a natural system but a manmade system. you may say that science also studies man, of course, or that the product of human interactions, yes. but banking is not the study of this, economy is a study of something like this, but banking is a profession not a science
Is it normal to get urges of extreme anger, frustration, despair, murderous and genocidal thoughts if one cannot solve a math problem even after reading through the books, watching youtube vids and searching on google?
>>7804093
Yes. But apparently that's a sign my ego is too big to learn properly, so I'm trying to fix that.
>>7804093
well it seems
f(y,p) = f(y|p) * f(p)
y|p ~ binomial (n, p)
p ~ beta (alpha, beta)
you're looking for f(y) so you integrate f(y,p) for all possible p's.
You use the fact that the integral from 0 to 1 of
p^(x-1) * (1-p)^(y-1)
is gamma(x)*gamma(y)/gamma(x+y)
and you obtain the resulting distribution for f(y)
>>7804093
Except the murderous part yes. Welcome to mathematics! As an aside, this also happens in applied theory, when no one has ever asked a question similar to yours and you have to do all the findings on your own.
How do you organize and name your papers?
making a lot of assumptions there
>>7803955
Jesus that looks tedious.
Just use Mendeley.
What are the best mathematical books? What do you recommend?
Not OP, but let me make a different question: How can I identify/know which books are horrible for learning? There's thousands of books for math, for example, how can I know which is good and which is not? Amazon reviews are not the best source for this, sadly.
>>7802304
If it's a Pearson book it's complete and utter garbage and you shouldn't spend a penny on it. Don't let anyone tell you Pearson publishes any good textbooks, some cucks may throw University Physics by Young at you, but it's an awful book and just happens to be the book they were pigeon holed into in their high school physics class and so it's the only book they've ever read.
Sorry for the retarded question, but isn't pi:
4/1 - 4/3 + 4/5 - 4/7 + 4/9 - ... = Pi
Similar to:
1/2 - 1/4 - 1/8 - 1/16 - ... = 0
Pi, like 0 will have a number you can write out completely, we just don't know how to work out the exact circumference of a circle so we use approximations.
Am I right in thinking this, /sci/?
>>7802104
So, how is high school going? Still trolling le /b/?
>>7802110
So it was a retarded question? I'm sorry, anon, but can you please tell me why it's retarded?
>>7802110
You're the one that sounds like you're in high school.
Here is one step of a possible synthesis of methylphenidate.
I get it that tert-butoxide removes a proton from piperidine, alpha to the nitrogen.
Then the carbanion hits the tosylhydrazone, a pair of electrons shift from the C=N to a N=N double bond, but then...
Does the tosyl moiety leave? 'Cause tosylate is a good leaving group, but the tosyl doesn't look like one. What else could happen?
>Also feel free to recycle this thread into a general orgo question thread once we're done with this particular question.
>>7799815
maybe the conj. base of tosylhydrazide is the leaving group
>>7799856
>conj. base of tosylhydrazide
That's a dianion, right?
Same question in picture form.
The other one is 300+ so starting new one
I'll start:
How the hell do you guys keep up with all that terminology in probability theory?
Namely, how do you tell apart and remember those: Probability distribution, probability mass, probability density, probability distribution function, probability function, cumulative density, cumulative distribution function
>>7795379
It might help if you disregard the word Probability in all those. If a probability theory question pops up, you just imply it includes that and not just ordinary "mass, density, distribution" etc
>>7795379
the names are pretty clear
when talking about sets
if you have, for example, [math]F^E[/math], what does that mean?
Has anyone here dropped out/failed college and then came back later and succeeded?
Yeah, I dropped out of college and joined the military. Now I get like 74k/yr accounting for the benefits and all for doing almost nothing and I'm in charge of almost 24 other people. I command them to do busywork some other asshole told me to tell them to do.
>>7806121
Okay, I'm done. I need the truth. In just this week I have seen like 3 posts of people saying that they went to the army and then went to college for free and now live the easy life.
What the fuck? Are you the one who has this experience and you are just posting it over and over again? Are there actually a bunch of military 20 something fags here in 4chan?
Or is it as I suspect, that the US government has started recruiting in 4chan. If this is true then m8, the kind of soldiers you will get from here will need a lot of training before you get them to do anything.
Initially, you will have to train them not to stare at their commanders fat cock.
>>7806112
i was an arrogant faggot and tried to get a physics degree as quickly as possible but realized i was being stupid too late and failed out. Now I'm studying information science and CS and am doing much better. It's probably not what you were looking for but I think my mistake can be valuable to learn from.
What do I square root to get an irrational number that has all the primes in order?
For example:
2.35711131719...
not sure, but something something fermat, something something cuberoots
also fuck off
>>7806109
>also fuck off
r-rude
I'm guessing it's a number less than 9 but greater than 4.
Any ideas, /sci/?