Mathematics - 2014-12-09 (page 5 of 7)

FreeMind

19:00

@Huy Quantum mechanics has darn integrals!

Huy

@FreeMind: You shouldn't study it like engineers, but like mathematicians. Then you'll hardly evaluate integrals or have hard integrals.

teadawg1337

@FreeMind What's so horrible about calculus? I personally find it fascinating, it revitalized my passion for mathematics

Huy

(at least at first, @FreeMind)

FreeMind

@BalarkaSen The problem is, every time I try to get up, I watch myself stuck in basics, I don't get to the fun point

:|

Huy

@FreeMind: Abstract algebra takes a lot of time until it gets really fun, imo. Complex analysis and QM not so much.

FreeMind

19:02

@teadawg1337 Calculus is not horrible, it's mechanical math.

Balarka Sen

@FreeMind Mathematics can be full of fun and cool-looking ideas, but thinking about them while handwaving at the complicated calculations is not really the right way to learn.

It takes time.

Mathematics is so NOT for lazy people.

2

Huy

@BalarkaSen: But I think it takes much more time in abstract algebra than e.g. in complex analysis. Or do you disagree?

FreeMind

@BalarkaSen :D

teadawg1337

@BalarkaSen Oddly enough, I'm lazy when it comes to everything except mathematics

Well, and physics

Balarka Sen

@Huy Each to his own, I would say. It took me relatively less time in learning algebra.

FreeMind

19:04

@BalarkaSen The problem is, I don't find the my type book, it has happened a few times, I found a book which I read without feeling any tiredness

Mary Star

I have a question in measure theory. Can someone help me??

FreeMind

@BalarkaSen But I found lots of books which did opposite.I don't know how to read a theory based book, or functional analysis book seriously.

@BalarkaSen At least I know that I don't know

Huy

@FreeMind: How exactly is your curriculum structured? You're still doing calculus and haven't seen abstract algebra yet and are trying to study functional analysis?

Mary Star

Let $1 \leq p_1 \leq p_2 \leq +\infty$. Show that in a Lebesgue measurable $E\subset R^d$ with $0<m(E)<+\infty$ we have that $L^{p_2} \subsetneq L^{p_1}$.

Using Hölder's inequality I got that $||f||_{p_1} \leq ||f||_{p_2} \mu (E)^{1/p_1 \cdot q}$.

Is this correct so far?? How could I continue??

Or is there an other way to show this??

Khallil

What's the distinction between Calculus and Functional Analysis, @Huy?

Balarka Sen

19:05

If you're having problem seeing the point of the rigorous theories, try asking them here in chat. There are plenty of experts here who will help you understand the ideas.

Hippalectryon

@MaryStar Ah sorry, we're only accepting measure theory question on mondays from 5 to 8 p.m.

:D

Balarka Sen

Axioms don't fall from sky.

iwriteonbananas

What is the German translation of "straight line homotopy" ?

Balarka Sen

LEL @Hippa

@iwriteonbananas O_O why are you trying to find a german translation?

Huy

@Khallil: Functional analysis is mostly concerned about partial differential equations and uses tools from analysis, topology and algebra.

FreeMind

19:06

@hiy

Hippalectryon

Because it's easier to write maths in german when you write on bananas @BalarkaSen

FreeMind

@Huy No curriculum, I study on my own, I don't care about rest of stuff :D

Huy

@Khallil: It has very very little to do with calculus. Calculus is just limits, sequences, series, derivatives, integrals.

Balarka Sen

LOL

smacks @Hippa

Hippalectryon

Ah no that's copyrighted by @TedShifrin

Balarka Sen

19:07

try getting a little serious

Huy

@iwriteonbananas: Can you give context?

Mary Star

@Hippalectryon Why?? What is at this time??

Khallil

Thanks, @Huy!

teadawg1337

The main thing I love about calculus is how everything eventually comes together. I guess that's why a lot of people hate calculus, you have to have a firm understanding of everything before you can get anywhere

Balarka Sen

Heya @KajHansen

Hippalectryon

19:08

@MaryStar Ah sorry, I can only answer this question on the 29th of February

Balarka Sen

I got A at math, A at english, A at physics and A at chemistry. Bs and Cs everywhere else. Ugh.

Hippalectryon

@BalarkaSen Chemistry >.>

Kaj Hansen

How did that happen @BalarkaSen?

Huy

@Khallil: Also, at least the first part of a typical functional analysis course is just incredible, imo. Very powerful results, which are not at all intuitive - to me at least. If you ever have a chance to study it, I would highly recommend you to.

iwriteonbananas

@Huy Trying to prove that $$\pi_1(f) : \pi_1(X,p) \to \pi_1(Y, f(p))$$ induces an isomorphism where $f:X\to Y$ is a homotopy equivalence

Hippalectryon

19:09

@BalarkaSen You're better than I thought.

I never imagined you could cheat so well

Balarka Sen

@KajHansen I dunno, maybe because I didn't study the other subjects :P

Hippalectryon

:P

Mary Star

@Hippalectryon ???

FreeMind

@BalarkaSen Off topic! what a geometer was Isaac newton!

Balarka Sen

smacks @Hippa hard

Huy

19:09

@iwriteonbananas: I mean in which sentence are you using "straight line homotopy".

Hippalectryon

@MaryStar That's just a joke e_e

FreeMind

@BalarkaSen It seems that he was doing 24 hours geometry D:

Mary Star

@Hippalectryon e_e Can you help me??

FreeMind

@BalarkaSen Looked at his book, from shallow assumptions he made noticeable results!

Hippalectryon

@MaryStar I'd like to, but I haven't studied that stuff yet

iwriteonbananas

19:10

@Huy The straight line homotopy $K$ defined by $K(s,t) = ...$ ...

Huy

@BalarkaSen: What did you get in PE?

Balarka Sen

@Huy PE?

Hippalectryon

Physical Ed

Balarka Sen

Ah, @Hippa. 0.

Hippalectryon

@BalarkaSen O_o

Balarka Sen

19:11

I was just joking.

Hippalectryon

@BalarkaSen Oho I know why

Balarka Sen

We don't have PE in my school.

iwriteonbananas

:18980024 Yes

teadawg1337

I have another acronym for PE, but it's inappropriate and I shouldn't share it

Huy

@iwriteonbananas: "Geradlinige Homotopie", maybe?

Hippalectryon

19:12

@BalarkaSen They weren't convinced by your "I did run 1000 meters ! Well, I ran 1 meter but... that's the same, up to isomorphism" :/

Balarka Sen

Pepper Eclairs, @teadawg1337?

iwriteonbananas

@Huy fair enough. thanks

Balarka Sen

@Hippalectryon No, there's no isomorphism. There's a quasi-isometry, rather.

teadawg1337

@Balarka As I said, it's inappropriate and I'll probably get flagged for sharing it

Hippalectryon

@BalarkaSen Bijection

Huy

19:13

@Khallil: Do you think I should watch both the Liverpool vs. Basel match and a Star Wars movie simultaneously or should I focus on one of them?

Khallil

Definitely focus on one of them.

Hippalectryon

@Huy Watch Clones vs. Basel

Or Liverpool vs. Jedi

Huy

@Khallil: But I'm worried the match will be boring, but if I don't watch it, then I'll miss it, and maybe it won't be boring.

Khallil

It probably will be boring. ^_^

Star Wars is the way to go!

Huy

Interesting that people complain about vulgar language and "flirting", whilst the 14-year old boy writes stuff like that. @BalarkaSen.

@Khallil: But what if it won't ???

@Khallil: I've rewatched SW4-6 and 1 already, so it's clones today.

Khallil

19:17

teadawg1337

@Khallil Objection!!!

Khallil

That's a tough decision. Can you watch the Star Wars movie at any time, @Huy?

Huy

@Khallil: Of course.

Khallil

Then I guess Liverpool vs. Basel is the way to go.

Huy

@Khallil: I'm mentally preparing for the 7th.

Khallil

19:18

What's happening on the 7th?

Huy

@Khallil: The 7th Star Wars movie.

Khallil

Objection? This whole court's out of order, @teadawg1337!

Ahh, I thought you meant the 7th of Jan.

Huy

@Khallil: do you like SW?

Khallil

I've only seen a part of one of the movies. I haven't given it a proper chance yet, @Huy.

Huy

@Khallil: Shame on you.

teadawg1337

19:22

I still have yet to watch Episode 3 in its entirety

Huy

@teadawg1337: How could you stop??? ._.

Hippalectryon

NOOOOOOOOO

Chris's sis

I wanna propose @BalarkaSen for a moderator position! It's hard to find someone better than him ... (from the new generation)

Hippalectryon

@Chris'ssis What about Anastas ?

teadawg1337

There's actually only supposed to be 1 moderator position open, I'm sticking with Pedro

Chris's sis

19:25

@Hippalectryon Oh, she's magnificent too!

@Venus is also magnificent!

Hippalectryon

@Venus No mods with fake picture >.>

Khallil

Have you not contemplated running for the moderator position, @Chris'ssis?

I think you'd be fantastic. ^_^

Chris's sis

@Khallil No one would resist with my requirements ... I'm too serious in anything I do.

Hippalectryon

@Chris'ssis It's rare for you to use "magnificient" for other things than sums and integrals :)

Venus

@Chris'ssis Magnificent from hell :P

@Hippalectryon But your ava is also fake :D

Hippalectryon

19:29

@Venus It's not "fake". It does not represent anything

Chris's sis

@Venus :D

Hippalectryon

It's not misleading

@Chris'ssis, on the other hand, is really superman :D

Huy

@Khallil: Do you like music?

Khallil

Of course, @Huy!

Huy

@Khallil: Pop, too?

Venus

19:30

@Hippalectryon One day I will use my real picture :)

Khallil

I don't really have any preference. I'll give every song a chance, @Huy!

Venus

@Hippalectryon Do you mean superwoman? ^^

Hippalectryon

Oh of course

Chris's sis

@Venus Good point! :-)

Huy

@Khallil: I had a bit spare time to play the guitar again today, and I recorded myself. I'd be interested to hear how heavy my accent is.

Venus

19:31

@Chris'ssis I am a feminist ^^

Huy

(because I'm singing too)

Venus

Quoting Annastasiya :D

Chris's sis

@Venus Good! Me too!

Khallil

Sure thing, @Huy!

(Also, check this song out!)

Huy

@Khallil: But I'm by no means good at singing or playing the guitar. So if you're scared for the health of your hearing, don't worry about it.

Khallil

19:32

Ah, ok, that's fine then!

Venus

@Alizter Let's chat for having here ^^

Alizter

?

Venus

Stop our heavy discussion there @Alizter

Khallil

Clicked it!

Alizter

OH ok

"Let's chat for having here" doesn't really make any sense.

Maybe you wanted to say "Let's have our chat here" or "Let's instead chat here" etc.

Venus

19:35

@Alizter Sorry for my terrible English. I'm not native ^^

Alizter

@Venus I know. That is why I was helping. :)

Venus

I meant "Let's chat for having fun here" :D

I forgot the word FUN

Alizter

Oh ok. That make much more sense now that you put it that way :P

Venus

Why boys I've met so far are always football fans

Huy

@Venus: Because football is awesome.

teadawg1337

19:41

@Venus I don't really like any sports, I guess that makes me a part of the minority?

Huy

@Venus: You can very easily tell if a guy is awesome or not, because awesome guys like awesome things, e.g. football.

Venus

@Huy As a girl I don't see the game is awesome, but the players do :D

Huy

@Venus: I'm not sure if I understand your sentence correctly. Can you try to rewrite it?

Venus

@teadawg1337 I guess so, but boys should like sport, IMHO

teadawg1337

@Venus Well if that isn't sexist, then I dunno what is :P

Venus

19:43

@Huy I'm trying to say that the players are more awesome than the game :D

Huy

@Venus: I see. I like both. :P

Venus

@Huy Both? Are you serious?

Huy

@Venus: Well, I like watching it, but I also play, and naturally I have role models.

Venus

@Huy Who is your idol?

I only know Becks & CR7

Huy

@Venus: Of course you do. :D

@Venus: Steven Gerrard, but you won't like him, his looks are different to Becks' and CR7's.

Venus

19:46

Gerrard? Sounds familiar to me

Balarka Sen

@Huy I have no idea why what I said was inappropriate. It was funny, rather, to my understanding. But in no way inappropriate/vulgar.

Huy

@Venus: Plays at Liverpool FC.

Balarka Sen

So I am not sure why the ban.

Huy

@BalarkaSen: People seemed to have a different opinion.

Venus

@Alizter How about you Ali? As a British you must also like football

Balarka Sen

19:47

Why was it inappropriate though?

I don't see anything inappropriate about it.

Alizter

@Venus I don't like football.

Venus

@Alizter That's surprising

Balarka Sen

@Huy I trust you belong to that class of people so can you please explain?

Huy

@Venus: You'll find many mathematicians and engineers not liking football or sports in general. It is rather disappointing and feeds the stereotype of the "nerds".

Venus

@Huy Ohh, YNWA

Huy

19:48

@Venus: You know that song??? <3

@BalarkaSen: The expression is a vulgar expression.

Venus

@Huy Yeah, You'll Never Win Anything :P

Balarka Sen

I don't see why...? @Huy

Huy

@Venus: NO YOU'LL NEVER WALK ALONE

teadawg1337

Anyone who thinks the term "nerd" is a stereotype or in any way offensive needs to stop living under a rock

Huy

@BalarkaSen: You should ask your father then, I'm in no position to explain these kinds of things to you.

Venus

19:50

@Huy My previous comment should be starred :D

Huy

@teadawg1337: Easy to say for someone who would probably be classified as such, no offense. I too don't think it's offensive or should be stereotyped, but a lot of people do, still.

Balarka Sen

Then evidently people got the meaning wrong. That's no reason to get a ban.

Huy

@Venus: In football.SE maybe. :D

Venus

@teadawg1337 There is no such a nerd, only a beautiful mind

Balarka Sen

I didn't intend any vulgarity.

Huy

19:51

@BalarkaSen: It's because it has a very clear meaning (to those who voted). I got banned for similar things before. That's how the system works.

teadawg1337

@Huy Yes, I'm a nerd. I don't care if people call me a nerd in a negative way, I take it as a compliment.

Venus

@Huy Because you're an adult. If you're a kid, there's no such thing as vulgar

Huy

@Venus: Yes, but an outsider only sees what he sees and can't know if it was just an innocent remark from a kid, and frankly, at age 14, I don't know if @BalarkaSen didn't know what it meant or is just trying to troll a bit.

Balarka Sen

You should at least retract your message that is starred at the right of the chat panel then @Huy. It's not my fault if I am not familiar with vulgarity, the posted message was really innocent!

I really didn't mean anything.

Huy

@BalarkaSen: That's easy to say.

@BalarkaSen: Apparently I wasn't the only one who thought it was meant vulgarily. And the fact that it's starred means that someone who's in this chatroom thought so too.

Balarka Sen

19:56

Weird. A thousand vulgar words are usually posted in chat openly everyday and I got banned for saying something innocent which people thought was vulgar?

Seriously guys.

Alizter

What did you say?

teadawg1337

Alright, I've had enough of you two arguing about this.

Venus

@Huy Just because I'm a girl & you're a boy people will think we are flirting each other if we have a fun conversation. But I wonder, why if boys have funny conversation people don't think that as gay talk?

Alizter

What? chat.stackexchange.com/transcript/message/18979818#18979818

Balarka Sen

I'd rather not risk getting another ban @Alizter, for reasons I am still not familiar with.

Huy

19:57

@Alizter: I used the abbreviation PE and he asked what it meant. He then asked if it was short-hand for p... eating (I think you know what P stood for).

Alizter

@BalarkaSen is my link correct

Balarka Sen

Nope, @Alizter, it was something else that got deleted.

@Huy pus is vulgar? heh?

Huy

@Venus: That is exactly what I told Ted the other time when he said this wasn't supposed to be a dating chatroom. I talk to women frequently and few people think it is flirting.

Alizter

@Huy Come on. He's 14. That is like hearing about the weather at that age.

Huy

@Alizter: I don't follow your reasoning. Just because he's 14 doesn't mean he doesn't know exactly what he was saying, even if he declines it.

Alizter

19:58

Ted is projecting his opinions. His opinions are not fact.

@Huy Everybody tends to be immature at that age.

By making a deal out of it it became a larger problem than the original problem.

Huy

@Alizter: And a temporary ban from the chatroom is not a too strict punishment.

Balarka Sen

I am confus.

How could pus be vulgar?

Alizter

@Huy Did it really offend you that much?

Transcript for

$Mathematics$ Mathematics