@pourjour It has a solution since $(35,96)=(35,26)=(9,26)=(9,8)=1$

@JonasTeuwen haha, you never gave an obvious answer.

@PeterTamaroff yes is there any way to find (u.v) without using Euclid's theorem

@pourjour Use the Euclidean Algorithm to find a solution.

@pourjour, the simple method is to find the simple continued fraction for the rational number 96/35. The cross product of consecutive convergents in an SCF is always $\pm 1.$

@JonasTeuwen always

mh i would like to motivate a proof with category theory but I have no idea :(

@pourjour $(u,v)$?

@MarianoSuárez-Alvarez There you are!

@PeterTamaroff yeah the conjugate (u,v)

@pourjour Take a look at the algorithm I describe in detail here

@DominicMichaelis oh no :(

I was going to say, that also ideally, Catholic priests would not have anal sex with 11-year olds.

@robjohn ok

But usually things are not ideal.

@OldJohn Cool, you did a good work there :D

Ideally people would not base their votes solely on the rep-points of the candidate.

@Charlie, what kind of dog do you have?

Mathematical skill is not the most important quality a moderator should have. But apart from that, reputation doesn't even correspond to mathematical skill.

Unfortunately, not many people here seem to have noticed...

In retrospect I might have used "cunt" instead of "retard", for my personal amusement.

The most crucial ingredient is a brain.

@MattN. Use neither. There is absolutely no need for either.

@MattN. Cunt also sounds more amicable right? Hah, you fucking cunt! pat on back.

Not everything needs to have a need, you Calvinist 8-(.

@MarianoSuárez-Alvarez, who is this Matt N person who gets so upset about things, then disappears?

No idea.

I know! I know.

I would like young Peter to write up a one page proof (induction, lemma I posted above) of the formula he found in Landau and send me that, can you make him do that? I put in enough time and energy.

@PeterTamaroff Peter! You little twat! Do something in return now. Ok? Good.

Right, now I need a drink.

@Jonas, yes, very helpful, angel.

Hum de hum de hum. Charlie was just about to tell me what breed of dog she owns.

Do you have your receipe book at hand?

Jonas, no, no recipe books. I was not planning on cooking any dogs. From the book, and movie, King Rat, the flavor is strong but somewhat better than rat.

Rat is like rabbit.

@JonasTeuwen : D

Exactly. pats on Jonas' back

Good.

@MarianoSuárez-Alvarez I agree with you. But I also think there is no need to have sex with 11-year olds. And there was no need for the Americans to make a Vietnam war.

I could go on and on but I have already bored myself now.

Woohaa!

I like that. Relate extreme things to the thing at hand. Most people are like X_X after.

There is also no need to drink whisky, but if anybody forces me not to, I'll smash them on the head.

With an empty bottle, yes.

: D

It makes things a bit more colorful.

@MattN. there is a clear difference: in the case at hand it is *you you have control of what you say.

How do you know I don't have Tourett's syndrome?

Hemingway's copy for reprint where he reinserted 'nasty' words has been auctioned for quite a bit of money.

and it is me and others who will suspend you for not caring to be more civil

There are much less civil things than use 'bad' words here which are tolerated.

well, I am not omniscient and omnipotent

Suspend me, huh? Now I feel threatened. For how long? Will you also delete my account? Like Bill D got deleted?

It sounds more like what I don't like rather than a general rule.

(by "accident")

I am not threatening you

and you should not feel threatened

How is that not threatening?

@JonasTeuwen, sure

I have a stick, and I can beat you with it.

I doubt you're allowed to suspend my non-chat account for whatever I say in chat.

there is no law here

And if you do I'll open a meta thread.

There's been enough abuse of mod power.

It ends here.

yeah

YEAH

Not my swearing, your threats that is.

Are you getting turned on? Hmm.

Not at all.

Are you?

The yeah thing.

LOL

No, I am more frustrated with my low ability to walk.

honetsly, there are better causes out there to get indignated about that your ability to call people retards

No. If I feel my freedom threatened in any way that's the way to piss me off.

You should do it in a more mean and stab-in-the-back-way, Matt. That is fine here.

I do not respect.

you are free to call people retards or cunts somewhere else

your freedom is not absolute

I don't see why backstabbing would be better than calling people retards.

This is not about my freedom: this is about freedom.

Freedom of speech.

dude

Is there any victim actually?

If the person called "asshole" is offended then they can flag me or call me asshole too.

If you're offended by that it must be true.

But it's not up to you to enforce your ideas of what you think is good or bad.

@JonasTeuwen Not sure.

you are free to expound that argument in the meta thread you'll open

Whatever.

I might not even bother to waste so much time.

Feels like I already wasted some just now.

So?

You going to suspend me now? Or what?

@JonasTeuwen : D

sigh

@MattN. What drink you're having?

I had cider last night, nothing today.

(different topic)

Cider. What?

Been having a headache for 3 days in a row and bad sleeps. So figured I might stay sober today.

Why?

Perhaps you've just run out of fuel?

No idea.

@JonasTeuwen Sneaky bastard.

But then again having an argument with Mariano was no fun.

For nobody. But still. Drink.

If you wake up with a headache, it means you did not drink enough. Uhu.

Right.

I will take Finlaggan.

Jameson is out of reach here.

That's good.

@MarianoSuárez-Alvarez That thing on your avatar is a character from "Alice's adventures in wonderland", right? Did you know that the author was a suspected paedophile?

Haha.

That's a bad association.

I don't think many people make it.

I know. But every time I look at it I think of Lewis Caroll touching a small boy.

Yikes.

But maybe Lewis asked for it.

Who knows.

Yes. We must ask the pope.

Is there like an ask-the-pope hotline? How can questions be sent to him?

What do you want to ask?

@WillJagy Sorta like this

but less furry

and smaller

and bigger ears

@MattN. 'Did or did not Caroll Lewis ask for it when touching a small boy. If yes, was the boy young?'

@Charlie, does not seem familiar.

Oh dear, I shouldn't have commented on that measure theory question. Now he asks me something else and I was already shaky on the first comment.

@WillJagy it's a belgium shepard

@robjohn What should I do in respect to the last comment here: math.stackexchange.com/a/391810/27624

@MattN. Then you ignore it like a boss.

@JonasTeuwen I think you are bored : D So am I.

Yes, I am. I need to work. And tomorrow morning to the Dutch universities org.

I think I will do that. It hadn't occurred to me that it's ok to do that.

Yes.

@Charlie, Same general shape as a German shepherd, I guess, very different coloring

But you must also do it when you surely know it.

Once in a while. That leaves them guessing if you actually know or not.

Hahaha, you are so full of... wisdom!

Yes.

@WillJagy she was like this

it's a Groendael

@JonasTeuwen Like Mariano just ignored me when I asked him if he knew that Lewis Caroll was a suspected paedophile?

@Argon I usually just oblige the comment and add a bit to my answer.

@MattN. Yes.

@robjohn Ok, sounds good then!

It left me guessing : D

@Charlie, great picture.

Indeed so.

Damn, the dog exploded into five pieces... that look like a dog. Fractal dog.

What dog?

@WillJagy she is very smart and jealous and likes to play al the time. and eat.

The one Charlie linked above. If can be seen.

@JonasTeuwen HHAHAHHAHA

Smart dog eh? Can it help me with my kernel estimates?

Why would anyone star this?

@MattN. Maybe someone likes palindromes

@MattN. 1. Idiot 2. Young teenage nerd boy.

: D

@JonasTeuwen Now Mariano should threaten to suspend you, no?

@Charlie Either that or Java.

Hello Leonid. (Yes, you're that obvious)

@MattN. The same threat works I guess.

@MattN. maybe

Time to go. I'll see you all later.

@MattN. Bye!

@JonasTeuwen I got curious, did you shave your beard?

Yes.

ah, nice

I did not have any shaving soap so I decided to wait... a day.

@WillJagy All terriers are so funny

@JonasTeuwen yeah.. do you have allergies, or something?

No.

But no working day, so meh that.

ah, good

I see some boys who do have then they shave , seems that they shaved with a horrible knife

@Charlie, it depends a good deal on your skin, shaving irritates everyone to some degree, so the skin can look bad

@Charlie Old razor, not shaving foam, wait too long!

@WillJagy yups, it's horrible

And perhaps they are guerilla.

It's in the same language, so who knows.

At least I don't have beard

Awesome.

hahaha

I have started buying this gel with no propellant, it is just in a sort of toothpaste type tube and I need to squeeze it out. It is mostly glycerin, and very effective. I get very little irritation.

:D

I have the same thing my grandfather used with a brush and things. Hah.

Sometimes i get horrible irritations

it's so annoying

my skin gets red and it itches

You can burn them too. Just add some kerosine!

it's an option

@Charlie I am sure there are many good (and more bad) locations on the internet with many tips.

To not use kerosine and get much less irritation.

They did put in something peculiar in the way of aloe or jojoba or something, it makes my lips feel bad where it touches, so I need to wipe them very carefully after. Maybe I'm allergic to an ingredient. Just because something looks attractive on a tree, it does not mean it is good for you

hahahaha

@JonasTeuwen I alreasy heard that usind shampoo, or something like that, helps

Hehe, 'antiallergic'. And you are like whaaa whaa!!! IT BURNS LIKE A MOTHERFUCKER and then you run through the house like a chicken without head and finally submerge your head into the canal outdoor.

Now that I think of it, i really enjoy eating oranges, but they make my lips feel similar. Maybe not identical

Can anyone think of an example of two groups that are abelian but non isomorphic of size 12 or any other size for that matter. explain it to us :'(

@TessaDangerBamkin abelian with size twelve implies the group decomposes as (group size 3) x (group size 4). can you think of two nonisomorphic groups of size 4?

@WillJagy Is the Aloe Vera perhaps also produced in a country where they speak Spanish? Might be the problem here.

@WillJagy yep :-/

no? were having a mind block. exam is tomorrow and we're really bad at the examples of groups part i.e. knowing what a group is part of group theory

@anon HI!

hello charlie

@anon how are you?

hmm

@WillJagy How about the old school stuff?

The thing you can use to cut off your head.

I like to speak portuguese

it's fun

@TessaDangerBamkin C(2) x C(2) does not have an element of order 4, but C(4) is cyclic and has an element of order four, hence these are two nonisomorphic groups of order 4. frankly, the theory of direct sums / products of cyclic groups, with explicit examples, is one of the most basic things possible to cover in group theory, so I really hope this is a summer class you're taking...

I recommend catching a glimpse of the fundamental theorem of finite abelian groups and of the chinese remainder theorem (its algebraic formulation as an isomorphism of groups); the obstruction to the C(a) x C(b) = C(ab) holding is when a,b are not coprime. you don't need to understand why the theorems are true to understand their statements and how they are useful.

@Charlie extremely hot

need to turn the temperature down

noope we just did that 4 months ago and we got all confused by the word size but were ok now we think. its a 20 credit compulsory course for me. we can do the proofs ok

@anon oh noes!

I'm sorry to let down the world of maths.

heh

But I can read those classics.

da Vinci is da Vinci.

But I do fancy the idea of cutting people open (dead, duh).

he studied bodies using just a candle

man his drawings are perfect

babies

skulls

They contain several inaccuracies.

But they are amazing, yes.

hands

it's so hard to draw them

You should have tried harder!

i did

but it never gets perfect

I did a skull

He practices more I guess.

hehe yes

He accepted a commision for a giant statue of a certain Milanese ancestor on horseback. He did make a full size model out of clay or something, but he took so long that they used the 70 tons of bronze to make cannon

Much better! Did it blow up some things?

Here we go, more than four times life size. Later, the invading French used it for target practice. So, no bronze statue at all.

Boom! Cool.

The prior of the monastery that commisioned The Last Supper complained about how long it took. da Vinci said he was almost finished, but had so far not met anyone with a face sufficiently evil to work as Judas. Then he said, if time were so important, he could use the prior's face for Judas. After that they left him alone

Anyway, you should finish things sometimes

There is no reason for me to. It does not yield me anything.

Finishing a dissertation would yield a Ph.D. and a loosening of the government's hold on you.

Relax, Jonas, da Vinci's things that was finished are the most awesoem thing ever

Heh.

I am very relaxed.

Same with a trip to Madrid.

Yes, my advisor will apparently be there too, he happens to be in Barcelona then.

@JonasTeuwen good ;)

You said you had made initial arrangements. Do you think it will be posible for you to go?

answered questionnaire.

good

@Charlie: Hi honey!

@WillJagy Yes, all arranged.

Anyway, in general a dissertation for us must be based on four (peer-reviewed) publications.

@ClickMe Hi!!

@JonasTeuwen, I'm not clear on the system there. I am pretty sure in Germany they have a sort of American type Ph.D. but then they have some Habilitations thing that is planned for age 40, Riemann did that very young

@WillJagy Yes, that is if you want to be a professor.

But if you compare a Dutch to a German thesis, they are in general way thicker.

What are alternatives?

You go to industry.

I think it is a bit like: you take a postdoc, write papers. Those papers you combine into a Habiliations things.

The latter is more (but also more content-wise) like a Dutch PhD thesis.

I'm going to regret this... do you have any peer reviewed publications?

Peer-reviewed, yes. Published, no.

Also, I have things that are basically done, but the others have the same problem and one of them is off to Cambridge now O_X.

Well, then, could they count towards your four?

I can probably hack something together right now, but then I can just as well not do it.

$x^{35} \equiv 2[97]

@WillJagy Better on FB.

$x^{35} \equiv 2[97]$

how to prove that x and 97 are coprime

hi @ethan

nvm let me think of somthing easyier

do you mean proving (97,n)=1

no

@pourjour 97 is a prime number

@Ethan yep

Therefore if x and 97 have a common factor

x must be the form of 97k

Substitute 97k into the $x^{35}$ term appearing

Reduce it modulo 97

so that you obtain $0\equiv 2 \text{ mod 97}$

Which is giberish

So there can't be any solutions witch are not coprime to 97

else we would derive that contradiction

35 is invertible mod phi(97)

hence there is a solution

@anon so what