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?

@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?

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.

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.

@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...

@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?

@Sawarnik: Helping people understand fundamental trigonometry

@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

@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.

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 !

@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.

@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?!

@Nick Good advice. Bye for now.

@usukidoll: And a fine rawr to you too.

@Sawarnik: Catch you later, alligator.

@Ted: I thought we were quoting Woody from Toy Story.

I have no earthly or unearthly idea, @Nick.

I'm hearing crickets

@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 $A+B$

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 $[x: x \in A \cup B \land x \notin A \cap B$

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 $X \cap C$

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

:/

@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 $A +B$

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!

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?

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

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.

@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

@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

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!

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.

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

@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.

-.- 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?

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?

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. :)

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

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.

$(A+B) = (A \cup B) \backslash (A \cap B)$

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