Mathematics - 2013-04-14 (page 3 of 4)

user1

1:00 PM

Heh the asterisks in each \mathbb{R^{*}} were taken as delimiters for italics.

Chris's sister and pals

Yeah.

Dominic Michaelis

@robjohn with fundamental theorem of ... (unique prime factorisation) it is the harmonic series that grows logartimic

Nimza

@robjohn something strange, $\frac{1}{|\Gamma(0.5+iy)|} = \frac{1}{\pi} |\sin(\pi (0.5+iy))| |\Gamma(0.5-iy)|$, function on the left is increases as $e^{\pi/2 |y|}$, function on the right seems bounded because $|\Gamma|$ is bounded by $C_1e^{-\pi/2 |y|}$ and sinus by $C_2\sqrt{\sin(0.5 \pi)^2+\sinh(\pi y)^2}$ and so increases as $e^{\pi/2 |y|}$ so term on the right is bounded I don't see where is the mistake

caveman

First time Chris'ssisterandpals posts a limit I can do

Chris's sister and pals

@caveman hehe. Hi.

caveman

1:03 PM

hello

robjohn

@DominicMichaelis yes, the harmonic series grows logarithmically. Does that bear on what Chris's sister was asking about?

@Nimza In the answer I cited, $$\left|\Gamma\left(\tfrac12+iy\right)\right|^2=\frac{\pi}{\cosh(\pi y)}$$

J. M.

Hmm, back up: Nimza is trying to bound the reciprocal of the gamma function?

Nimza

@robjohn yes, I used it to say that $|\frac{1}{\Gamma(0.5+iy)}|$ increases as $e^{ \frac{\pi}{2} |y|}$

Dominic Michaelis

@robjohn yes $$\frac{p_1}{p_1-1}=\frac{1}{1-\frac{1}{p_1}}=\sum_{i=0}^\infty \frac{1}{p_1^i }$$

robjohn

@Nimza yes, it increases like $e^{\frac\pi2y}$

@DominicMichaelis you need to put logs and exps in there to get what I said

Chris's sister and pals

1:10 PM

@caveman have you seen this one? Let $f:(0, \infty)->\mathbb{R}$ be continuous in $1$ and we know that $f(x^2)=f(x), \space \forall x\in \mathbb{R^{*}_{+}}$. I have to prove that $f$ is constant.

caveman

@Chris'ssisterandpals, I was about to say: sum over primes below n of log(p) = O(n)

Nimza

@robjohn but function on the right seems bounded because at first $|\sin( \pi(0.5+iy))| = \sqrt{ \sin(\pi/2)^2 + \sinh( \pi y)^2}$ and increases as $e^{\frac{\pi}{2}|y|}$ and on the other hand $|\Gamma(0.5-iy)|$ on the right hand side decreases with the same speed

caveman

can be done elementarily

Chris's sister and pals

yeah

caveman

so lim x->1 of f(x^{2k}) = f(1) for all k

J. M.

1:12 PM

@Nimza, you've already seen these, I take it?

caveman

I think that you can just make k large enough in terms of epsilon to show it's constant now

Nimza

@J.M. what a nice link! You helped me very much! Thank you!

robjohn

@Nimza Using the formula I cite above, you get that $\frac1{\left|\Gamma\left(\frac12+iy\right)\right|}\sim e^{\frac\pi2y}/\sqrt{2\pi}$

Nimza

@robjohn right, but where is a problem with Euler reflection formula? Why doesn't it work?

robjohn

@Nimza I got the formula I cite using the reflection principle

Dominic Michaelis

1:15 PM

@robjohn oh i missed the link

Nimza

@robjohn oh, I don't know how. Estimate on sinus kills my formula. I mean, I wan't to apply it for general $x$, not necessary $0.5$ and I want to know where is the problem on this explicit example

robjohn

@Nimza Ah, I see your problem: $\left|\Gamma\left(\frac12+iy\right)\right|=\left|\Gamma\left(\frac12-iy\right)\right|$

caveman

Sinus

J. M.

@caveman The root Latin is precisely where "sine" came from...

@robjohn I think that equivalence is somewhere in A&S...

robjohn

@J.M. also $\Gamma$ is real on the real axis so they are conjugates

caveman

1:19 PM

@Chris'ssisterandpals, I'm feeling so tired today I cant bring myself to study, do have any advice

J. M.

@robjohn quite right. :) I also meant there was an expression in terms of trig/hyperbolics. I suppose I now have to look up...

Nimza

@robjohn ah, I've found a mistake, sorry. sinus increases as $e^{\pi |y|}$

robjohn

@Nimza $i\sinh(y)=\sin(iy)$ increases like $\frac i2e^{|y|}$

Nimza

right, so $|\sin(\pi(x+iy))|$ like $Ce^{\pi |y|}$

robjohn

@Nimza yep

J. M.

1:24 PM

If you remember the $\exp(iz)-\exp(-iz)$ bit, you're just effectively ignoring the decaying term, since you're considering large arguments anyway.

Nimza

aha

Chris's sister and pals

@caveman some sleep can help :D

robjohn

@J.M. Were you thinking of this one

J. M.

@robjohn Ah, yes! I just got up for my A&S, and there it was. :)

robjohn

@J.M. Yeah, I derived that in my estimate of the size of $\Gamma(x+iy)$ for large $y$

Chris's sister and pals

1:30 PM

@caveman and sometimes is good to take a longer break and stay away from doing math.

caveman

yeah

J. M.

@Chris'ssisterandpals yes, good advice. one should decompress every so often.

caveman

while I agree - at this point I have to push myself harder than I'd like

Chris's sister and pals

@J.M. after the break I took when I came back and started to do some math I felt myself as powerful as Zeus :D

Full of ideas!

J. M.

@caveman will it be worth the potential loss of sanity?

Chris's sister and pals

1:34 PM

@caveman but hard work doesn't necessarily mean to harm yourself.

caveman

I have nothing to lose

robjohn

@J.M. Sounds good. A warm decompress.. a cup of tea

J. M.

@robjohn It doesn't just sound good; it is certainly good! :)

Chris's sister and pals

@caveman Actually you lose all your efforts done so far.

caveman

just ajoke

Chris's sister and pals

1:38 PM

:D

robjohn

@J.M. Heating water now :-)

@Chris'ssisterandpals I think he was referring to the loss of sanity

Nimza

Is there some strategy to obtain lower estimates of absolute values of integrals of complex-valued functions?

I.e. is there some general way to obtain lower estimate on $\left| \int\limits_0^\infty f(x) dx \right|$ where $f(x) \in \mathbb{C}$?

Chris's sister and pals

@robjohn I know. The loss of sanity also means to lose all your efforts done so far because you probably cannot continue on your way.

Dominic Michaelis

exact sequences are best typesetted with a commutative diagram or ?

caveman

yes

user1

1:44 PM

When I am lazy, I use xrightarrow

Nimza

and when you're not lazy?

user1

tikz

user43418

@DominicMichaelis Hello

Nimza

@J.M. do you know chat.stackexchange.com/transcript/message/8975214#8975214 ?

Chris's sister and pals

By the way, do you know guys that went crazy due to mathematics?

user43418

1:46 PM

I have a question. When considering double integrals, how do you change the limits of the integrals in order to integrate in terms of x first instead of y first

Nimza

@user43418 you can introduce the indicator function of set of integration. then your integrals are taken over the whole space and you change the order without thinking of changing limits

J. M.

@Nimza I don't know anything general. Most of the methods I know are ad hoc.

@user43418 Equivalent to Nimza's approach, I tend to use Iverson brackets when changing domains.

Nimza

@J.M. I will be thankful for any special method too, I have absolutely no ideas. More precisely I have to estimate the integral $\int\limits_0^\infty x^{z-1} f(x) \, dx$, it is the Mellin transform

J. M.

@Nimza Oh dear, Mellin. No particular $f$?

user43418

So if I have $1 \leq x \leq 4$ and $\sqrt{x} \leq y \leq 2$ then we have: $1\leq x \leq y^2$ and $1 \leq y \leq 2$ ?

J. M.

1:52 PM

(I believe Sasha would be the guy here who knows a lot about Mellin.)

Nimza

@J.M. Decreasing at infinity and smooth. Any additional requirements are possible too

user43418

@J.M.

@Nimza

Nimza

Oh, Sasha. I haven't ever seen him here

J. M.

@user43418 Sounds right.

Chris's sister and pals

@J.M. Also Mhenni Benghorbal.

J. M.

1:53 PM

@Nimza You should maybe ask a question on main and hope he sees it.

Nimza

good

user43418

@Nimza @J.M. Thank you

robjohn

@Nimza Tag it special functions and he might have a better chance of seeing it.

Nimza

@robjohn thanks

robjohn

@J.M. Mellin Transform falls under special functions, no?

J. M.

1:57 PM

@robjohn Not really; integral-transforms, more like.

(I do recall having to do an inverse Mellin transform to answer a question here...)

robjohn

@Nimza Ah, then integral-transforms then instead

@J.M. Thanks

Nimza

@robjohn Aha

robjohn

@J.M.: I am enjoying a warm decompressing tea in my MSE swag mug :-) very appropriiate.

J. M.

@robjohn My nephew broke mine months ago. :( I wish there was a way to get a replacement...

BTW, what sort of tea?

robjohn

@J.M. It is Tazo Organic Chai; I've added honey. Very nice

J. M.

2:08 PM

Ah, the honey makes things even better!

exploringnet

Hey What say about my this answer/ math.stackexchange.com/questions/12906/is-value-of-pi-4/… ??

Drawn this in paint :p

Star this if you like , so that others see this too.

Dominic Michaelis

sorry no stars for paint from me :D

exploringnet

@DominicMichaelis Yes you always draw in some other software .

CBenni

math.stackexchange.com/questions/353924/… how can I generalize that to not approximate 0, but any vector?

Dominic Michaelis

for plots most time mathematica and else Tikz

CBenni

2:15 PM

I have tried ALOT, however I have been unable to get it done

Dominic Michaelis

just take any vector;) once a professor asked what is an approximation of 5 and he said any number but 5

CBenni

...

caveman

@CBenni, Kroneckers theorem

CBenni

with approximate I mean with less distance than any epsilon

CBenni

2:27 PM

@caveman I dont understand that one o.O

lets see if I find some information on it

caveman

mathworld.wolfram.com/KroneckersApproximationTheorem.html

CBenni

meh

if I know my values are irrational, I am done anyways

then dirichlet is good enough

caveman

:/

CBenni

the problem are the rationals

basically, I am trying to prove that a complex function has a max. of 2 periods

(if it is meromorphic)

I show that, if there were another period which is only a irrational linear combination, we have a limit point in 0.

J. M.

@CBenni There's a thread on math.SE somewhere on this. Search the elliptic-functions tag.

CBenni

2:33 PM

however, for rational linear combinations, this fails (dirichlet gives us the null vector). Therefore, I dont have a limit point >_<

@J.M. I will take a look

Chris's sister and pals

A troublesome limit:

Let's consider $x_{n_{(n \ge 1)}}$ defined as
$x_n=\begin{vmatrix}
1 &1 &1\\
\sin\sqrt{n^2+1} &\sin\sqrt[3]{n^3+1} &\sin\sqrt[4]{n^4+1}\\
\cos\sqrt{n^2+1} &\cos\sqrt[3]{n^3+1} &\cos\sqrt[4]{n^4+1}\\
\end{vmatrix}.
$ Compute $\lim_{n\to\infty} x_{n}$.

I love insane things and this seems to be one of those.

Ben Millwood

2:50 PM

I asked a question that only got one answer, and that was from me – does anyone have any thoughts on whether it is suitable for mathoverflow?

caveman

post it, they wont mind

Ben Millwood

I'm never quite sure how hardcore something has to be before it counts as research-level :P

J. M.

@BenMillwood Well, it has been more than a month. But be sure that you link to the math.SE version if you do repost to MO.

Ben Millwood

okay, that makes sense

@Chris'ssisterandpals: the determinant is a continuous function of the entries, so can't you just take the entrywise limit of the matrix and then work out the determinant of that?

(i.e. 0)

JohnMerlino

3:05 PM

Are there any operations beyond these six: addition, subtraction, multiplication, division, raising to powers, and taking roots?

caveman

@JohnMerlino, modular forms

JohnMerlino

what branch of mathematics does it fall under?

@caveman would logarithm count as an operation?

caveman

you decide

Chris's sister and pals

@BenMillwood I got the point. I think I saw a similar limit in the past but I simply cannot find it right now. (solved by Chris)

Ben Millwood

@JohnMerlino: "operation" can mean basically any function, depending on context, and there are lots of functions :)

JohnMerlino

3:18 PM

My focus would be algebra/calculus for now

Ben Millwood

@JohnMerlino: what are you intending to use the answer for?

JohnMerlino

the operations used in college-level algebra, but would be interested if that applies to calculus as well.

Ben Millwood

@JohnMerlino: yeah but I mean, what do you intend to do with The Complete List Of Operations once you have it (this will help me decide what I think is or isn't an operation in your sense)

@JohnMerlino: when you ask "would logarithm count as an operation?" the natural answer is "sure, why not?"

but if that's the way you answer that question then like I said, there are literally too many to count

maybe you want "commonly used"?

in which case that's not a maths question but possibly still an interesting one :)

JohnMerlino

I think basically anything that follows order of operations rules is what Im interested in

Ben Millwood

ah, ok, interesting

so roughly you're thinking "I'm going to come across some mathematical writing and I want to know all the things I should be aware of to be able to interpret it"

does that sound right?

JohnMerlino

3:26 PM

yep

Ben Millwood

well, if you're including calculus you might want to include integration and differentiation operators

like d/dx and ∫

otherwise I think you've covered all the major ones

you might be interested in "factorial"

i.e. $n!$

JohnMerlino

thanks

Ben Millwood

I dunno, there are a fair few niche things that may or may not ever come up

user43418

4:31 PM

Let $a,b,c$ be positive real numbers such that $c<a$. Suppose given is a thin plate $R$ in the plane bounded by $$\frac{x}{1}+\frac{y}{b}=1, \frac{x}{c}+\frac{y}{b}=1, y=0$$ and such that the density of a point $(x,y) \in R$ is given by $\delta(x,y)=x$. Compute the mass of $R$

I know that by definition $m(R)= \int\int_R f(x,y)dxdy$ and the definition of the density is mass/area ie $\delta(x,y)=\frac{\int\int_R f(x,y)dxdy}{\int\int_Rdxdy}$

But I am not sure how to proceed. First of all what is f(x,y) ? Is it equal to 1 ?

Mathproof P.

can someone help me with easy number theory question please?

how to show -3 is quad. residue of prime p if and only if p=1+6k

can you help me with this: can someone help me with easy number theory question please?
how to show -3 is quad. residue of prime p if and only if p=1+6k

can someone help me with easy number theory question please?
how to show -3 is quad. residue of prime p if and only if p=1+6k

caveman

4:48 PM

@MathproofP., don't do that

Jayesh Badwaik

@MathproofP. DO NOT PING EVERYONE!!!!!!!!!!!

Jonas Teuwen

Woohoo a kitty.

I AM MELTING.

Jayesh Badwaik

Its 36.1$^\circ$C here at 22:00 hours.

Jonas Teuwen

It's like 15 here.

I sweat like a pig that can sweat and is sweating a lot.

Jayesh Badwaik

And yes, that temperature is after it rained in the afternoon.

Jonas Teuwen

4:57 PM

Like an hour ago.

Jayesh Badwaik

This is on the library?

Jonas Teuwen

Yes.

The roof.

Jayesh Badwaik

Nice.

Peter Tamaroff

5:19 PM

@JonasTeuwen Because one pen is never enough!

Jayesh Badwaik

@PeterTamaroff A single pen always fails.

Peter Tamaroff

@JayeshBadwaik Not if it is a good pen!

Jayesh Badwaik

that was a really really bad joke.

Alexander Gruber

alright - here's the real question. suppose we've got a finite group $G$, let $K=G\times G$, denoting subgroups $G\times 1$ and $1\times G\leqslant K$ by $G_1$ and $G_2$ respectively, and denote by $\mathcal{S}_G$ the set of subgroups of $X$ isomorphic to $G$. now, given an $S\in\mathcal{S}_G$, can we find an automorphism $\mu_1(S)\in\operatorname{Aut}(K)$ such that image of the restriction of $\mu_1$ to $S$ is $G_1$? when can this happen?

is it all the time? it seems like it should be all the time (i want it to be all the time.)

Jayesh Badwaik

What is $X$?

caveman

5:29 PM

what's an example of G not decomposable as a direct product other than G_1, G_2 as a subgroup of K?

Alexander Gruber

@JayeshBadwaik that should have been $K$

@caveman right that's one thing i'm wondering

caveman

it sounds like there shouldn't be any, let G not decompose but G \le K not equal to G_1 or G_2... then we have a decomposition of $G = \pi_1 G \times \pi_2 G$

Alexander Gruber

it seems like what we should be able to do is decompose $K$ by $\mu_1(S)\times \mu_2(T)$ where $T$ is the complete inverse image of $G_2$ under $\mu_1(S)$

in other words generalize the projection guys to depend on subgroup rather than coordinate

caveman

but isn't the observation about indecomposable G enough?

if G = A x A x B then given some G <= K = (AxAxB)x(AxAxB) you can easily construct an automorphism that puts it back to G_1

just swap around the A's, flip the Bs if necessary and then apply automorphisms per component if needed

Bel

5:50 PM

Hi everybody
I'm looking to generate a specific model
can anybody help me to do that

user43418

@PeterTamaroff Hello

caveman

that could mean anything

user43418

Do you know what will be the forms of the moments of inertia here ? -> math.stackexchange.com/questions/361342/mass-of-a-rectangle/…

It's a multivariable calculus question

Anyone ?

??????\

Bugbusters

6:20 PM

Do you know that today is Leonhard Euler's birthday?

Peter Tamaroff

6:33 PM

@user43418 Hello. Who are you?

user43418

6:54 PM

For the calculation of $\int_0^b \int_{-\frac{c}{b}y+c}^{-\frac{a}{b}y+a} y^2dxdy$
Can I change the order of the integrals ? in order to integrate y^2
or do I have to iterate the integrals ?

caveman

user, integral of y^2 dx = y^2 integral dx

user43418

@caveman So I just integrate y^2 between 0 and b and then the other one right ?

Charlie

7:19 PM

@JonasTeuwen I like the pens

Blahblahblahblah

Vrouvrou

7:53 PM

hi , someone can tell me how to solve this exrcise ?

2

Q: Exercise on measure theory

I have this exercise: from the book "Measure theory ; Donald L. Cohn" I don't know what $\sigma(...)$ is? Thank you.

i must use the "hint" to solve it , or the "hint" is a generalization of the exercise ?

@julien

@peter

@Charlie

8:14 PM

@peter

Gustavo Bandeira

@Charlie youtube.com/watch?v=lsp5GZxKW8g

@Charlie poeticstoday.dukejournals.org/content/28/3/443.abstract

Spinoza had a geometrical method for ethics. :P

@GitGud Hey ho!

Git Gud

@GustavoBandeira Yo.

Gustavo Bandeira

How are you?

Git Gud

A comment of mine was just deleted for no apparent reason. Who do I address about this?

Gustavo Bandeira

@GitGud Master @robjohn

Git Gud

8:20 PM

@GustavoBandeira I'm OK. What about you?

Gustavo Bandeira

I'm fine.

Git Gud

Is there such a thing as a super user on SE?

hyg17

Is the set of all integers Z, closed because there are no limit points ?

Peter Tamaroff

@hyg17 What topology?

hyg17

Oh, sorry. Z as in a metric space Z.

Git Gud

8:28 PM

Apparently super.SE is another branch of SE, one related to computers. What a dumb name.

Peter Tamaroff

If you're considering the usual topology on $\Bbb R$, the set has no limits points since every point is isolated, (just take a ball with radius less than $1$)

@hyg17 Just take a sequence it $\Bbb Z$. Can it leave $\Bbb Z$ in its limit?

@hyg17 OK, any metric space is closed "in itself".

That is, if $(X,\rho)$ is a metric space, $X$ is closed.

hyg17

Ah, I see. Z as in a subset of $\BbbR^2$

Peter Tamaroff

@hyg17 As a subset of $\Bbb R^2$ it is closed, but not open.

hyg17

Hmm ?! Are you implying that there is a set that is both open and closed ?

Peter Tamaroff

Well, you really want to talk about $\Bbb Z\times \{0\}$

@hyg17 Yes... $\Bbb R$ is both open and closed in $(\Bbb R,\|\cdot\|)$

In fact, in any metric space $(X,\rho)$; $X$ and $\varnothing$ are both open and closed.

hyg17

8:33 PM

Okay, I'm chewing off a bit more than I can handle. I'll come back when I learn a bit more :)

Thanks for your help !

Peter Tamaroff

@hyg17 How do you define open and closed?

robjohn

@GustavoBandeira where?

hyg17

open : Every point of set S is an interior point.

Gustavo Bandeira

@robjohn Dunno. I guess @GitGud knows.

hyg17

closed : Every limit point of set S is contained in the set.

robjohn

8:34 PM

@GitGud where?

Peter Tamaroff

@hyg17 OK.

Git Gud

@robjohn On here.

Peter Tamaroff

@hyg17 OK

@hyg17 Do you know about the discrete metric?

Git Gud

Funny.

hyg17

nope

I just started studying analysis on my own.

Peter Tamaroff

8:37 PM

@hyg17 Hmmm... and what have you studied before this? What book are you using?

hyg17

I know up to abstract algebra, non-euclidean geometry, linear algebra and multivariable calculus. All self taught.

The book is Principle of mathematical analysis. 3rd Ed

@hyg17 Rudin, yes?

@hyg17 Pro!

yep

@hyg17 Rudin is a tough cookie.

If you haven't read about topology elsewhere, it would be good if you did so.

hyg17

8:41 PM

Thank you so much for telling me that. I was suspecting that the book was too hard for me. But it's okay, I will just take my time working on this.

But I will think about taking a topology study/

Any recommended book ?

Peter Tamaroff

@hyg17 I liked "Introduction to Topology" by Mendelson.

hyg17

Thank you. I will look into taht.

Peter Tamaroff

He treats Metric Spaces first (which are a special case of topological spaces)

I recommend chapters 2 and 3, and 5. From chapter 4, avoid "Homotopic paths" and beyond.

From chap. 5 you can avoid "Surfaces by identification".

Git Gud

9:07 PM

@robjohn Can you tell me why were my comments deleted?

Scis

9:19 PM

Hi would it be legitimate to ask a question that's more of an "understanding" what is required of me question?

Jonas Teuwen

@PeterTamaroff Duh?

Peter Tamaroff

@JonasTeuwen Dah?

Jonas Teuwen

I am a war monger.

I think. Don't know.

Peter Tamaroff

@JonasTeuwen You talking bout the Koreas?

Scis

:) sorry kinda new here , so someone asked me to prove that if $f,g \in \mathbb{R}_[x]$ are not zero polynomials and $q \in \mathbb{C}_[x] $ and f=gq that $ q \in \mathbb{R}_[x] $ well on one hand it seems obvious on the other I can figure out how to formally write this

Jonas Teuwen

9:25 PM

@PeterTamaroff No.

Peter Tamaroff

@Scis Write \Bbb C_{[x]} to get $\Bbb C_{[x]}$. If you want $\Bbb C[x]$ then write \Bbb C[x]

Scis

@PeterTamaroff ok thanks

The Substitute

Hi. Off topic and I'm not sure if this is the best place to ask such a question: I am citing a math theorem from a textbook in my thesis, but the notation is a bit different from what I have set up. For example, I use $a_n$ where the author uses $r_n$. When I cite the theorem, can I rephrase the author's theorem or should I cite it as it is and explain the differences?

Git Gud

@TheSubstitute Ideas transcend notation. But that's just my opinion.

Charlie

@anon

anon

9:35 PM

@Charlie yes

Charlie

@anon nothing

}:)

robjohn

@GitGud There were 4 comments that were deleted as offensive. None of the comments appeared offensive, but it appears that there were enough of these flags that the comments were all deleted.

Git Gud

@robjohn Is this automatic?

robjohn

@GitGud if there are 3 flags, I think so. I am checking on that.

Git Gud

@robjohn How could those comments be flagged 3 times? That's impossible by chance.

Jonas Teuwen

9:41 PM

Impossible by chance.

That's a cool statement.

Git Gud

Not sure if it even makes sense. It would in my native language.

Gustavo Bandeira

@GitGud Are you offending people?

Git Gud

@GustavoBandeira Who knows?...

Charlie

@GustavoBandeira I am

Gustavo Bandeira

@Charlie I'm sure you are. :P

Charlie

9:47 PM

@GustavoBandeira claro que sim

esses cabra da peste...

Git Gud

Did y'all know that white noise is supposed to improve concentration?

Gustavo Bandeira

@Charlie Se for alguma tentativa de imitação regionalista, a gente num usa tanto essa expressão não. XD

Charlie

err

Gustavo Bandeira

A última pessoa que eu vi usando isso - faz uns 10 anos. xD

Charlie

@GustavoBandeira haha eu imagino, mas ninguém sabe

Git Gud

9:49 PM

Of course yes.
These goat plague.

Charlie

@GitGud HAHAHAHAHAHAHAH NOT AT ALL

Git Gud

@Charlie Yes, google rules.

Charlie

@GitGud VAI VER SE EU ESTOU NA ESQUINA

Gustavo Bandeira

TEA WITH ME!

JohnMerlino

In algebra you can only add like terms (where variable and exponents are the same). Is the rationale for this because exponents by nature multiply copies of something?

Gustavo Bandeira

9:51 PM

@GitGud Nice. I'll just open my synthesizers now!

pourjour

intéressant!!

Charlie

@GustavoBandeira HAHAHAHAHAHAHHAHAH THAT WAS AWESOME

Git Gud

@Charlie That wasn't very nice.

Charlie

@GitGud it was for me

Gustavo Bandeira

@Charlie O que é: "The little stop of the big black guy"?

Charlie

9:52 PM

@GustavoBandeira ?

Git Gud

@GustavoBandeira A pequena parada do negão.

Gustavo Bandeira

A paradinha do negão. :D

Charlie

@GustavoBandeira sabia

:P

@GustavoBandeira another, another

Gustavo Bandeira

@Charlie fsfla.org/~lxoliva/fun/dict/expressoes-idiomaticas

Charlie

@GustavoBandeira this is a hand on the wheel

Gustavo Bandeira

9:54 PM

Look: Each monkey in its branch. GRAPH THEORY!

Which one is, bro?

What?

Qual é, mano?

You travelled on the mayonaise

WiseStrawberry

could somebody help me on an answer I gave?

Gustavo Bandeira

9:55 PM

Say: "Qual que é, véi?"

Charlie

@GustavoBandeira wazza old?

WiseStrawberry

Because I dont know if I gave the right answer..

Gustavo Bandeira

@GitGud I downvoted this anwer because I judged it pathetic.

pourjour

so can someone give an example of white noise

Charlie

@pourjour the space sound

Gustavo Bandeira

9:56 PM

(The price you pay for using windows...)

Git Gud

@GustavoBandeira Actually I think it's the best answer. But yeah, I prefer windows.

Gustavo Bandeira

@GitGud But CBenni's answer is cool: math.stackexchange.com/a/299020/25805

robjohn

@GitGud I have talked to the higher ups. If something nefarious was going on, hopefully they will be able to take care of it.

pourjour

@Charlie like what can't get it

Gustavo Bandeira

@robjohn The GOD-METAModerators?

Git Gud

9:57 PM

@robjohn Thanks for your time. I should say, however, that I'd delete the comments anyway. They're pointless now.

Charlie

@pourjour neither do i

Git Gud

@pourjour simplynoise.com

Charlie

@skull hi mister

Git Gud

@JohnMerlino I don't understand your question.

robjohn

@GitGud there were a lot of comments deleted, mostly by their authors.

skullpatrol

9:58 PM

@Charlie hi senorita

pourjour

ok I've already downlaoded the autumn winds nosie

it sounds like a broked radio

Gustavo Bandeira

Brown noise is white noise with a High-pass filter.

Git Gud

@pourjour What's the link? I couldn't find free downloads.

Charlie

@skullpatrol ¿cómo está?

JohnMerlino

@GitGud 2x^2 + 3ab – x^2 + ab is written as x^2 + 4ab because when using the addition operator, you can only add together like terms. Is the rationale of that because exponents are only worked with multiplication and not addition.

Gustavo Bandeira

9:59 PM

rainymood.com

This is nice.

Sound of the rain.

Charlie

@GustavoBandeira really good

skullpatrol

@pourjour The autumn wind is a raider

JohnMerlino

You cant add terms with different exponents

Transcript for

$Mathematics$ Mathematics