if you only use the measure induced by the densities, then you can just ignore any conditions on $\mu$

@anakhro I am not.

@robjohn it was slightly confusing at first that our probability 1 lecturer used both notations, probably unconsciously

but I prefer $\mu( \mathrm d y)$

@user2103480 Do you also prefer writing the integrand after the $\mathrm{d}x$ or before?

Do you also enjoy taking candy from children?

@Astyx one of my favorite lines from "True Lies" is, "It's not only that you're bad parents..."

@robjohn depends on the number of integrals

excellent movie.

$dx\int\int\int f$

I don't know it

well, i am an arnie fan.

@Astyx no, but that's only because I dont eat many sweets

sweets says something about your origin maybe?

@robjohn My top contender for probability notations: $$\left(\mu_{s} \mu_{t}\right)(x, F)=\int \mu_{s}\left(x, \mathrm{~d} x_{1}\right) \mu_{t}\left(x_{1}, F\right)=\int \mathbb{P}_{x}\left(X_{s} \in \mathrm{d} x_{1}\right) \mathbb{P}_{x_{1}}\left(X_{t} \in F\right)$$

vomit

@user2103480 the comment was about my inclusion of "also" in my question to you

horrible

@robjohn I'm confused

@user2103480 Okay. You can use anything you want, $\mu(\mathrm{d}y)$ or $\mathrm{d}\mu(y)$. I probably won't like looking at them ;-p

but I should have answered "depends on the number of sweets"

top contender was very sarcastic

@user2103480 well you're wrong

@user2103480 when I added "also" to my question, it implied that I did not agree with your choice of notation. Doesn't mean it's wrong

lmao I actually thought some hour ago about asking the chat which version they prefer

but then Alessandro has an opinion

I thought no one would care but it seems very polarizing

@robjohn it can't be wrong because it's right

They're all horrible

I prefer the last one though

@Astyx only fair answer

adapting to probability notations was a wild ride

I think $\mu(dx)$ is the most logical.

Just write $\mathrm d \mu$ like a normal human being

@copper.hat thank you

The best is $\mathrm{d}\mu$, there's no need to write out variables

@copper.hat I can see arguments for either way

it is the measure of a sliver :-)

@Astyx yes and not ever compute anything

pure math brain

@AlessandroCodenotti Great for a change of variables.

convention is hard to beat though

compwhat ?

@copper.hat a proper leibnizian thinker here

i swear i am straight

and not terribly politically correct.

Anyway I saw I was pinged bout generalizations of Fubini, but what was the question exactly? Or is sorted out?

@copper.hat yes your political correctness is terribly executed

The question about double sums?

But I am mostly offended by my inability to get the joke

@AlessandroCodenotti it was just a summoning

leibnizian reads like something else

ah

I'm too german to get this

@user2103480 when i was younger we spent some time living beside a old grain structure called 'the wonderful barn', and was delighted when i found a sign that i thought meant someone had been shot there until my sniping brother pointed out that it meant the building was executed not a person.

I read it as leibnitsian

@user2103480 i would never have guessed from your English.

The |z^k| part doesn't seem problematic on compact sets.

@copper.hat v edgy

@copper.hat yeah -adjective-ly executed yields some wonderfully nasty puns

I am just rusty with series, and I am not sure if there is any obvious way of showing this converges.

my dad's boss used to think that lesbians were Greek.

@copper.hat if that's not ironic, the giveaway that I'm not native should be my mixing-up of british and american terms/conventions

@copper.hat lol, well that's the etymology

@user2103480 well, it is hard to be insular nowadays. my english (my only language, unfortunately) is a mix of us/irish english at this point.

@user2103480 The giveaway is that you admitted in this chat to liking Koelsch

@Astyx i know, but it was funny as a child to realise that your dad's boss hadn't a clue in such matters.

@AlessandroCodenotti that's just, like, your opinion, man

that's just, like, a good movie, man

you folks are depressingly intellectual :-)

i really mean i am envious.

for liking beer?

the sum of all dribbles of convo.

i prefer mass produced beers. fewer headaches.

you prefer fans of mass produced beer?

uurgh, cannot type a sentence

in contrast to micro-brewery hipsters? :P

headache inducers

as long as I'm not going blind

of course, quantity might play a part too

@AlessandroCodenotti have you ever tried smoke beer

@user2103480 do you mean a specific one or in general?

it's the worst ever, my brother spontaneously bought some for a friends birthday and it tasted like bacon beer

in general

I did not memorise the brand since I did not plan on buying more

i had a bottle of some local firewater in a remote indonesian island once. i woke up the following morning and could not see anything. i had read about people losing sight in a lonely planet guide a few days before.

proper mad lad

anyway, turns out there was lots of dust that had accumulated during the night, so my sight was fine. quite the relief.

live fast die blind

but a mother of a hangover.

@copper.hat how did that much dust accumulate

there was just a roof, no walls, so lots of stuff blowing around.

and it took all of 5 seconds to clear. but a lot of thinking can happen in a panicked state.

hahaha very understandable

but by far the worst experience was eating undercooked pork with a friend in hong kong.

@copper.hat speaking english natively gets you very far

again beer was heavily involved.

@user2103480 in what way?

@copper.hat oooff did you check for worms afterwards

@copper.hat lingua franca

but apart from that

the worms would have had no chance of survival, believe me :-)

but to answer your question, i have been dewormed many times in life :-)

A woman advertising for google once called in at our computer science department while I was sitting at the desk

She spoke the most perfect british english I have ever heard and I think I would have bought anything she advertised

my daughter has a combo us/irish/english accent.

british = probably southern england

could be many other factors involved in that persuasion...

@copper.hat I met an irishman at 5am in a tent at a festival once

sounds like the start of a joke

his name was alan and I swear he had to repeat it like 6 times

"AAan"

- "Sorry what?"

the "L" was very silent

:-). i have been called on to translate irish english to us english many times.