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10:00 PM
Last night I had a nightmare that I was in a bio class.
 
Worst dream.
@JessyCat Do you know how to fast put the bio chapters in memory?
 
No. If I had, I'd probably be a doctor. LOL
 
@JessyCat Need not be, you must have developed techniques to memorize, back in school.
 
You need to make it meaningful.
Something personal to you.
 
I need to make bio meaningful?
 
10:11 PM
@Sawarnik okay. Answered.
 
@robjohn Thanks, but I am in serious time crisis now. Will check tomorrow :)
@robjohn Took a fast look. I wanted it to be in terms of $ABCD$. See the comment on question?
 
10:33 PM
Guys, how long does it usually take on average for a comment to appear on a question?
?
 
@user129967 Instantly, really.
 
i Have asked a question and over 30 people have read it but not a single person has responded
the wierd thing is it hasnt even been downvoted
its just as if people just don't give a damn
 
@user129967 Maybe they don't. You shouldn't take it personally.
What's the question?
 
haha I will
 
Wait.
 
10:37 PM
0
Q: A few (most likely wrong ) ideas regarding twin prime?

user129967After some research, I have discovered that proving the statement; There exist an infinite number of positive integers K such that; $K \neq 6ab \pm a \pm b$ and $K \neq 6ab \mp a \pm b$ is equivalent to proving the twin prime conjecture. I have naively attempted to think of ways in which on...

I know its sort of, of the wrong format, but people are not downvoting.
 
Also, you asked your question 1hr ago.
And it is not an easy question, I think. Also long.
People are usually spooked by long questions.
I didn't read it fully, really.
 
Haha I can tell
everyone is probably just shuddering as they see the size of the question
 
@PedroTamaroff can you see this question? There is a link in it that might interest @user129967.
 
@IanMateus Looks kinda cranky. =P
 
I know I just want to know what is wrong with it because it is most likely wrong.
 
10:44 PM
@Pedro You never gave me a straight answer.
 
nahahahahahahaa
 
@Mike What to?
 
Is it racist to dance the robot in front of a robot?
 
@PedroTamaroff caution: Microsoft Word
 
@Mike Interesting...
 
10:47 PM
@Mike: Is it racist to rap in front of a black man? Is it racist to each chilli in front of an Indian?
Such are the questions of social life.
 
@Nick What are you doing at this time?
 
@Nick There are many people to do that. But why are you awake at this time? 4 am?
 
@user129967 this link might interest you, this is probably the source of your statement
 
@Nick There's a huge difference.
A robot can move in no eh except the robot.
so you're essentially mocking his very existence
Black men can make more music than rap
 
10:53 PM
@Sawarnik: Long story short, I woke up at 5 am yesterday to catch the Oscars live. To compensate the lack of sleep, I slept the whole day and now I'm not in the mood to sleep. Does that satisfy your curiosity of my personal life?
 
@Nick Hmm..fine. You got angry a bit. Sorry.
 
@Mike: Yes but the question was whether if it were racist, not the degree of racism involved.
 
@Mike what about walking in front of someone who can't?
 
@Sawarnik: $\ddot\smile$ No I didn't, silly. So, what's up with you? Early morning studying or something?
 
@Nick I'm saying neither of our situations are comparable.
 
10:57 PM
Haha this is such a strange conversation
 
@Ian But for those of us who can, walking isn't done specifically because of the crippled man
Maybe I should say this isn't at a club
 
@Nick $\ddot\cry$ [Didnt work] Studying for my bio test in 3 hours. 1 more chapter to deal with.
 
this is in an office environment, where people dance in front of the robot intentionally
 
@Sawarnik: 1) *\frown , 2) Swallow as much as you can and run.
 
@Nick Exactly. The next one to deal is reproduction in just half an hour !
 
11:00 PM
@Sawarnik: ... Wow, I think you've predicted my future if I go into Math
 
@Nick I don't think so. Which class are you in, considering our same level, upto basic calculus?
 
@Sawarnik: (1) 11th, (2) I'm glad you didn't get the joke.
@Mike: That's just wrong? Is that like your job or something?
 
rawr
 
@Nick Hee. I m in 8th. 2) Wat was the joke really?
 
@Sawarnik: I'll tell you in 3 years.
 
11:05 PM
@Nick I would remember it.
 
howdy @Nick, @Mike, @Sawarnik
 
@Sawarnik: Concentrate on bio!
 
scratches head
 
@Ted: Reach for the sky! You're my favorite deputy.
 
Huh?!
 
11:06 PM
@Nick Good advice. Bye for now.
 
@usukidoll: And a fine rawr to you too.
@Sawarnik: Catch you later, alligator.
 
:/ 8 cases of this...how the? http://math.stackexchange.com/questions/697399/prove-or-disprove-a-b-cap-c-a-cap-c-b-cap-c

suppose I want to disprove the statement...does this mean that I have to do it 8 times as well?!
 
@Ted: I thought we were quoting Woody from Toy Story.
 
I have no earthly or unearthly idea, @Nick.
 
I'm hearing crickets
 
11:10 PM
@Ted: Get idea, sirji
 
If you want to disprove an equality, @usukidoll, give an explicit counterexample. Otherwise, prove it without relentless case analysis.
 
@usukidoll: Oh, I stopped listening to it the moment Sachin Tendulkar left the game.
 
like maybe if A B or C was an empty set and then we try to disprove it that way? no wait I've tried it last night and I got empty set all the way through
 
Why are you so convinced it's false?
 
the first time I did it....I used complement def on $A+B$
 
11:12 PM
Can you use the definition of $+$ to write everything in terms of $\cup$ and $\cap$ and use known laws?
 
and then I distributed the $\cap C$ I've noticed that the middle part wasn't $+$ so I thought that they weren't equivalent
but apparently that's not how it works
 
So you're looking at $(A\cup B \backslash A\cap B)\cap C$?
 
yeah ... the question was prove or disprove $(A +B) \cap C = (A \cap C) + (B \cap C)$
since $A+B$ was $A \cup B) \backslash (A \cap B)$
I used the complement definition.. to make it just $A \cup B$ because by complement def we have $[x: x \in A \cup B \land x \notin A \cap B$
so I was left with $(A \cup B) \cap C$ on the left hand side
 
Right. Can you decide if $(X\backslash Y)\cap C = (X\cap C)\backslash (Y\cap C)$?
 
hmmmmm... I'll start on the right... $(X \cap C) \backslash (Y \cap C)$ so by complement def I would have $[x: x \in X \cap C \land x \notin Y \cap C$ so that leaves me with $X \cap C$
 
11:18 PM
typo ... big $X$ should be $x$ at the end
no, it doesn't leave you with $X\cap C$ :)
 
:/ ok and why
?
 
because you can't have any $x$ that live in $Y$ (and $C$).
 
yeah isn't that complement definition though?
 
Hey everyone :)
 
hi Mick
 
11:20 PM
:/
 
@usukidoll, perhaps a Venn diagram picture would help you see what's going on?
 
sure
en.wikipedia.org/wiki/File:Venn0110.svg that's the venn diagram for $A +B$
 
I've got a very simple question, sorry it includes no amazing integral, but I'd still hope for some answers and/or speculation from any lurking mathematicians. @robjohn @Chris'ssis everyone...

Are there actually practicing mathematicians who reject the law of excluded middle or any non-constructive proof?
 
fanatics, perhaps, @Mick. Mostly among the ranks of undergraduates and graduate students. None that I've ever heard of among serious researchers.
 
Oh thank physics!
 
11:24 PM
Most of us agree that $\sqrt2$ is irrational, @Mick, I do believe.
 
@TedShifrin hey, but that one has a constructive proof.
 
So, @usukidoll, write a proof that what I told you to do is correct.
Oh? @Ian ... What's that?
 
how the heck does it not leave me with $X \cap C$!?!?
I mean if I start from the left $(X \backslash Y) \cap C$
complement def of $X \backslash Y$ is just X
$[x: x \in X \land x \notin Y$
and I am left with $X \cap C$
 
NOOOOO ... why do you think the complement of $Y$ is all of $X$?
You need to learn some serious definitions.
 
Haha thanks, I was nervous about that having had someone bring the non-constructiveness of a proof I made into question
 
11:26 PM
However, @Mick, I do not like proofs by pleonastic (unnecessary) contradiction.
 
I prefer to avoid ridiculous logic if possible
 
"Ridiculous" be in the eye of the beholder.
 
Of course
 
what! why is the complement $Y$ all of $X$?
 
it is NOT. You said it was.
 
11:27 PM
@TedShifrin we can prove that $|\sqrt 2 - a/b|\geq 1/3b^2$ for every coprime $a$ and $b$. See here
 
oh, you're typing stuff I'm misinterpreting.
 
o-o
 
I just hope that it's a common view that rejecting pure logic only on the basis that there is no tangible object produced can be called "ridiculous"
 
But the criterion for irrationality, @Ian, are you sure there's no proof by contradiction in that? I think there is. Certainly the proof of Liouville's Theorem I know has one firmly there.
 
@Ted Can I ask you a serious question?
BTW, I think the word pleonastic is itself pleonastic
 
11:29 PM
@usukidoll: $(X\backslash Y)\cap C = \{x: x\in X, x\notin Y, x\in C\} = \{x\in X, x\in C\} \backslash \{x\in Y, x\in C\}$.
smacks @Mike
haven't seen you in days .. what's the serious question before I run off to dinner?
 
we don't have an x that belongs to Y on the left...
OHHHHHHH MY GAWD ETHAN! faints
 
right ... I took those out ... and nor do we on the right @usukidoll.
 
yes that's true
so aren't I left with... $X \cap C$?! or is it something else
 
You can replace my commas with $\wedge$, @usukidoll
 
@Ted OK. Is it racist if people are intentionally and spitefully dancing 'the robot' in front of a robot
that can move no other way?
 
11:32 PM
No, you're left with $(X\cap C)\backslash (Y\cap C)$ !!
 
Damnit I tabbed away for like 2 seconds and I come back to a screen full of fucking sigma zeta beta yayta bleata bass drop WUBWUBWUB
 
ROFL @Mike slaps harder
 
AND WHY IS THAT!!!! D:
 
Hey, guys. Is there a... like, notebook or something (equipped w/ MathJax) that I can use for my own referencing?
 
Nobody will give me a straight answer!
 
11:32 PM
like OH FFFFFFF******* I think the lightbulb just ignited
 
@Mike Yes
 
@Mike: I rarely do anything straight.
 
Like a MathStack Exchange personal notepad?
 
As long as you don't restrict "race" to mean human races
 
@TedShifrin Liouville is way stronger than this one, I'd blindly bet it is nonconstructive :P I have never studied that. I think this is a cute constructive proof though: $\sqrt 2$ is not any rational you can think of.
 
11:33 PM
Or do any of you know of some kind of application equipped w/ MathJax that I can use as such?
 
that's not a constructive proof in the least, @Ian.
 
It is if you're an alien with infinite thinking bandwidth
 
wait hold on let me try this again OH!!!

$(X \backslash Y) \cap C$
$(X \cap C) \backslash (Y \cap C)$
 
@Ted I'm going to cap off my RS course with the proof that complex curves are algebraic.
It's a satisfying ending.
 
I really think you should learn Riemann-Roch, @Mike, but OK.
 
11:34 PM
-.- I'm just using distributive law for $\cap C$
 
It's such gorgeous mathematics.
 
@Ted I spent last quarter doing that...
That was the proof I presented during my final.
 
But you don't know it, @Mike.
 
I don't understand your meaning.
 
Oh, did you really? In terms of linear systems and meromorphic functions?
 
11:36 PM
@Ted yeah I am left with $(X \cap C) \backslash (Y \cap C)$

because we had $(X \backslash Y) \cap C$
by distributive law
$(X \cap C) \backslash (Y \cap C)$
 
OK, dinnertime for this Bonzo. You all have fun without me.
 
In terms of sheaves and cohomology :P
 
Oh, right, that abstract crap in Gunning. Sigh.
OK, @usukidoll. Now proceed.
 
Jeez, now I'm offended! :D
 
You want an excuse to hate me, anyhow, @Mike. :) When do you go to LA?
 
11:37 PM
maybe the fact that I like that abstract crap says I'm more of an algebraist.
8 days from now.
 
indeed @Mike, indeed :(
very cool ... Give Jacob a hard time for me :)
 
@Ted I find an incredible value in building my geometric intuition and not living in abstraction. So I appreciate your POV. :)
 
so if I want to prove $(A +B) \cap C = (A \cap C) + ( B \cap C)$
starting from the left
$(A +B) \cap C =$
using distributive law
$(A \cap C) +(B \cap C) =$
and that's the same as the right
$(A \cap C) +(B \cap C) =(A \cap C) +(B \cap C)$ @Ted
 
Is anyone willing to suggest what area of mathematics I should pursue next? My skill level is basic calculus with a good number of special functions available
 
Do you think there's a distributive law for everything? @usukidoll
I know it only for $\cup$.
LOL @Mike ... No fair patronizing me now. :D
 
11:41 PM
Hey, I get it from you. I get to take my potshots once in a whole.
 
But, yes, @usukidoll, it is true and you need a basic proof based on what I told you and then using union.
 
using union?!
 
Take it once in a half instead @Mike :P
the definition of $+$, @usukidoll.
OK, I'm outta here.
 
OH THAT ONE!
 
Me too.
 
11:42 PM
$(A+B) = (A \cup B) \backslash (A \cap B)$
$(A+B) \cap C) =$

$[(A \cup B) \backslash (A \cap B)] \cap C$

so distributing $\cap C$ I would get
$[(A \cup B) \cap C) \backslash (A \cap B) \cap C$
 
Specifically, I'm stuck on what seems like a simple problem, but I am painfully unaware of where to begin. I've built a relatively simple function, but no closed form is available. Is it possible for me to take the integral of this function which I can't even express directly?
 
and then $(A \cap C) \cup (B \cap C) \backslash (A \cap C) \cap (B \cap C)$
 

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