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00:06
@RandomVariable yes, then it is true, I believe.
Dc3 Level set of a vector-valued function.
That's the term. Thank you
Howdy @robjohn
So... we successfully defended against a hostile take-over of the faculty association last week. Yay.
@JoeShmo I'm basically asking if Plancherel's theorem holds. I know that Fubini's theorem doesn't hold.
00:15
But I think that I might have made some mortal enemies.
So... yay!
I needed some mortal enemies.
there are hostile takeovers in academia?
@dc3rd Sure.
Why not?
Hey, @Ted.
I can be an immortal enemy, if you’d like.
if you don't have enemies it means you're not doing something right.
what does a hostile takeover look like in academia?
00:16
Faculty Senate type thing, xander?
xander it would have been simpler if you had just let me take over. you could have been vice-president for life.
@dc3rd I am at a community college (so only at the fringes of academia). The CTE (career and technical education; essentially, vocational education) faculty (who tend to lead Trump) regard the A&S (arts and sciences) faculty as a bunch of "effete, beta, cuck libs". They don't usually appear at the faculty association meetings, as they have all chosen to take on extreme overload in order to get paid more.
I got enemies gotta lotta enemies gotta lotta people tryna drain me of my energy
They showed up last week, and attempted to dismantle the faculty association constitution. They lost the vote, but it was narrow.
@TedShifrin Exactly that, but we don't have a senate. We have direct democracy (there are only 150 or so faculty here, altogether).
next time they should show up with big rig trucks and horns honking. i hear this is effective.
00:20
I was one of three A&S faculty who were very vocal about voting down the motion. The other two are known commies, so I kinda came out of the closet, and probably earned some enemies for life.
@leslietownes Doesn't work over Zoom. :D
Gotcha.
i'm glad that most of my wife's colleagues are effete beta cuck libs.
Heh. I'm glad that most of my colleagues are effete beta cuck libs.
Interesting......I don't know why I continue to have this view of academia being this utopia of ideas free from the brinksmanship of "ordinary" life......then I remember that there is a tenured controversial professor at my institution who was hopped on the extreme right wing wave for personal gain.....
@dc3rd Again, I am at the fringes of academia, and live in a very rural part of Arizona. This is Trump country.
00:22
there was a guy at CSULB who was a holocaust denier.
I think Jordan Peterson is still tenured, unless he pissed off so many people that they tried to kick him out...
@leslietownes Yikes!
@leslietownes When I taught at Scripps, I shared an office with a phd candidate from CSULB. She was a hoot.
dc3rd most academics i have met are normal people but if you want to go crazy and act like a little emperor academia is a pretty good place to do it.
I could see God complex being a thing very easily...
Xander’s adviser has a more-than-healthy ego.
00:25
@TedShifrin I love Papa Lapidus, but I cannot disagree.
I doubted he’d had a humility transplant since UGA.
the weird thing is that a lot of the stereotypically worst traits of professors are more common in less professional groups. pedantry, knowitallism, etc. all decrease monotonically as you go from undergrad to grad to teaching.
anyone know Robert Zimmer the ex president of university of Chicago?
They do?
at least, that was my experience.
00:27
@leslietownes First year grad students are the worst.
yeah, maybe i shouldn't have said monotonically. there is a local maximum in early grad school.
I don’t agree. I have dealt with way too many faculty prima-donnas.
I think that first year [anything] is pretty bad. When you go into mathematics after graduating from high school, it is because you were hot shit in high school, so you think that you are going to continue to be hot shit.
why? are first year grad students not great?
You either realize that everyone else in your program was also hot shit in high school, or it turns out that you really are the smartest person in the room.
If you really are the smartest person in the room, you eventually run into smarter people (as a first year grad student, as a post doc, etc).
But the transition is gonna be rough, and you'll come across as an asshole to everyone around you for a while.
00:30
ted: i certainly never had to manage them or get them to do things with me.
Unless, of course, you are Terence Tao, or someone of a similar caliber.
But Tao is the nicest man in the world, so... *shrugs*
is Terrence Tao the smartest person in the room?
one r in terence.
two r's in terry.
@geocalc33 Depends on the room, but most of the time, yes.
@leslietownes I always get his name wrong. :(
But usually, I put an "a" in there, somewhere.
a lot of the knowitallism i saw in early grad school involved the somewhat drastic adjustment from small undergrad schools where math classes were mostly taken by miniature mathematicians in waiting to a state school with large engineering and bio programs where a whole lot of math is taken by people who can't be bothered with mathematician stuff.
00:32
Chern, despite being one of the century’s superstars, was totally humble and sweet and generous.
@TedShifrin So I've heard.
Not true of all superstars.
But true of many.
there was a mandatory training course for first-time TAs and the instructors spent a lot of time emphasizing, please keep at least one eye and maybe both eyes on what is actually going on in lecture and do not inject too much of your own view as to the 'right' way of looking at something. i didn't understand this at first. then i got it.
I wish that more superstars were assholes. It just isn't fair that people like Terry Tao and Chern exist. We need more Grothendieck's.
Yau goes on that list.
Atiyah, before he declined, was fun and very nice.
00:36
vaughan jones was very generous with his time and absurdly generous with encouragement.
I never knew him, sadly.
@leslietownes There are a couple of folk who ended up at UCR after doing undergraduate or masters work with Vaughn Jones. I am sorry that I never met him---he seemed like a genuinely humane human being.
Kirby had well over a dozen students at a time, I think.
i kept some of my exams. one time i completely screwed up a problem and he pointed out a way i could have saved it that, of course, i would never have thought of. and congratulated me on 'my' idea.
I’ve done that to students occasionally. Amazing morale boost.
00:38
you end up remembering the fix more than you remember the rest of the class.
What class was that?
Oh, you forget .
haha. von neumann algebras. what else.
Grothendieck wasn't really nice?
i have heard some awful, awful stories.
i don't get into it because the cult of personality is strong in that one. and it's fine for people to like good math.
that's something i generally like about math, it's easier than in other areas to separate the work from the person, and there tend not to be personality cults. in the arts the lines get a lot blurrier.
awful stories about Grothendieck?
00:49
Lists of racist and Nazi mathematicians …
yeah, now i'm off to listen to some wagner and read about the bieberbach conjecture.
And a few misogynists and homophobes …
not in math, surely.
Surely.
i analogize the brain to a complex system of gears. the mathematical portion of the gearbox can function perfectly when there are a lot of teeth and screws missing in the other parts.
00:53
Lots of double-clutching.
01:09
what lists of what nazis? Grothendieck? Surely he hated the nazis
correct the spelling in Grothendieck
you didn't see anything
i don't think anything above implied grothendieck was a nazi. but the middle of the last century was full of mathematicians who were close enough to give one pause.
i remember that in grad school, seeing a cite to some german name in a paper and wonder, should i google this? was this paper published long enough ago?
I wasn't implying that you were implying
I'm wondering what lists
metaphorical lists i think. although there are a few books on nazi mathematicians and the uncomfortable political history of that time that do function as actual lists.
01:13
Wernher von braun
vonce ze rockets are up, who cares vere they come down? that's not my department
oldie but a goldie..
from a quick read on Grothendieck he seems quite the interesting person....iconoclastic.........teaching a lecture on algebraic geometry in the jungles of Hanoi when bombing was occurring?........in Caribbean culture we'd call that a "madmon"...
Don't say that he's hypocritical, Say rather that he's apolitical.
reminds me of sitting bull smoking a pipe in the middle of the battle
01:16
yeah Grothendieck was eccentric as the story goes
the difference between genius and insanity eh..
@JoeShmo seems to truly be the case.......Erdos was the same.....eccentric
yes.. has you wonder whether genius is a blessing or a curse
When Grothendieck was still an undergraduate student at the University of Montpellier, his professor, Laurent Schwartz, gave him an article he had published not long before which included fourteen major unresolved problems, and asked Grothendieck to choose one of them for his thesis.
The young man, who was always bored and distracted in his classes and seemed incapable of following instructions, returned three months later. Schwartz asked him which problem he had chosen and how far along he had got. Grothendieck looked at him, baffled. What did he mean by “which one”? He had solved all of them.
that's insane...
@dc3rd Looks like Ottawa is a right-wing protest mess ….
And Ted Cruz is kissing all their butts.
Plus all the rest of the Rethugnicans.
ted cruz, everybody's idealized alpha male.
01:25
Shouldn’t he be wintering in Cancun?
he just needs to find the right carhartt jacket and facial hair style and eventually people in his own party will respect him.
ted: that was his family's fault. not his.
haha ^
hah, you're "ted" too! that must be annoying, to share that with cruz.
Yes, blame the conniving daughters. Just overgrown munchkins.
also, that hurricane is long gone, there's no reason to leave the state
01:27
And Bundy and Kazinski and …
kennedy. yeah, i went there.
the government is run by lizards
Mary Lou …
Canada may yet be Trompified
i try not to sound conspiratorial but i get the feeling that a lot of right wing money is using ottawa as a kind of experimental laboratory.
back to medieval times.
01:32
the chain of restaurants? sounds great. chuck e cheese would also be acceptable.
i used to work with a guy who was given a comically large sword as some kind of trinket for assisting medieval times in their chapter 11 reorganization
i think it is a socal thing
it used to be headquartered in santa ana.
i'm not sure it still exists
mark knackerburg is threatening to stop his apps in europe over some silly data privacy thing
hahaha. oh please, don't do it. don't throw me in that briar patch.
i see a business opportunity
buttbook
the potential is ass tronomical
01:41
hahaha. i was going to comment, but i thought, no, wait, there's got to be more.
you did not disappoint.
crack the euro.stg market
Northface settles lawsuit with SouthButt
don't start me on anal, sorry analysts
@geocalc33 that was brilliant
up there with the butthead astronomer
good old bha
zuck's tenure is pretty surprising to me. founder control basically never makes sense, but you can sometimes understand it with a magnetic personality. in every public appearance, zuck looks like a turtle pried out of his shell, or a freshman who forgot to do his homework and is going to try to wing it anyway.
he must have very good attorneys.
i think he was inspired by the good wife
01:44
i mean, people DO know that there were twenty other social networks and fb just happened to take off due to its proximity to well connected rich people. there weren't 20 other knockoffs of CP/M when bill gates got started
i agree, founders should go. i did not put up (much of) a fight, in fact i made monthly offers of my current buyout price
copper.hat.tiktok
unlikely though it is, losing whatsapp would be a pain for family comms
family comms are overrated. what kind of irishman are you
i have a math question. what is the big deal with fundamental groups? i mean, why is the group structure important other than you can do it?
@TedShifrin Try turning off CNN every now and then.
i only listen to fox & mnsbc
sort of a krein millman approach
01:48
copper there are perspectives where maybe you aren't wrong. classically i think people thought in terms of betti numbers which were rougher invariants of fundamental groups. i forget how they dealt with torsion. and generally homotopy groups are hard to compute.
wow, a while since i heard the term betti numbers.
this is not my field so i am talking out of my not-face.
np, i am really looking for the informal not-quite-correct perspective :-)
my basic topology has some big holes, in a more literal sense than fundamental groups might suggest
wow the puns on here tonight are on point 👌
02:04
the gaps in my number theory are so large
that
certainly not in my prime in regards to number theory, far from ideal
wordle is addictive
i find myself trying to circumvent the time limits
I've never played wordle
i like it
i begin every day texting with my best friend about wordle. it has brought us closer together.
that's awesome
relationships are important
in life and in mathematics
02:16
there really is no comeback to that statement, for once i am stymied
@copper.hat The point (functors do have value) is that you can convert topology to algebra. Homology, cohomology, too, and in the final case you have a ring structure which sees things that group structures miss. Geometrically, that product structure corresponds to intersection theory.
Math is full of "can this be the "same" entity as that?" ... These algebraic structures allow you to say NO. Saying yes is harder.
Wordle took me 5 today — far past my mode score of 4 and a few 3s.
5 for me too.
I've done wordle in French 3 times. 6-5-4 in that. (The first time I had the last four letters right and it took 3 tries to get the first letter.)
i don't know very many five-letter french words. i can think of one beginning with M.
There's an arithmetic equation version of wordle, too, but I haven't looked at it.
There are lots, @leslie.
02:20
nerdle. it's sometimes very difficult.
A la recherche du temps perdu ... there — two 5-letter words.
today there was a problem where a missing digit was guaranteed to be the same on both sides of the equation, but it was just luck if you could get it in time.
got 3 just now
We hate you.
got lucky on the second attempt
hey you're doing social media right
I guessed older on the second attempt of all wordles!
02:22
i guessed the name of a tree before the right answer.
i have a masterful ability to be one letter off, often multiple times.
I didn't think of it as a tree at all. I thought of you and copper as my ...s.
i think my friend cheats by simply being better at the game than i am.
nefarious.
A few of the words have been more esoteric than I would have expected.
3b1b made a video about how you would measure the utility of a word (given previous attempts) with entropy. I.e., obviously you would pick words that maximize the overlap with other words in the dictionary first. got me thinking that the FBI for sure has had that software for years
knoll did me in, although i grew up in an area full of them. the first few wordles were way more obscure than seems to be the case now.
i think originally there was more human curation and now the words are chosen at random. which means they are more amenable to algorithmic analysis.
02:29
knoll was the first one I did ... I got it in 4 or 5, I forget.
my wife got today's in 4.
my dad never played board games with me except scrabble. and then he only played until i started routinely beating him (around age 11).
Today took me 5. Perhaps I was silly, because on the fourth guess I forget to use one of the letters.
wordle is how i work through these issues.
i always guess the more obscure words first. swill, shill. alder.
Did you look at that infinite-dimensional bilinear form query?
i did. without a norm, i'm not sure what to do with it. that stuff is very difficult in banach spaces.
if 'basis' just means basis, i don't know what to do.
i need a completion.
the idea of just doing a linear algebra basis in infinite dimensions is raving insanity.
02:37
LOL ... you don't like large bases?
what a bigot.
more bigotry
BTW, the past participle is thrust.
let me correct that.
there, grammatically correct bigotry.
Now correct the bigotry.
02:41
LOL .. I wish I could enact that globally.
Erase 40% of the country.
I don't know how much of the world. Probably more.
i was trying to make fun of bigotry by doing that but i can see how it would be misunderstood. and we certainly don't need to fan those flames.
So I take it you say auf Wiedersehen to Schauder bases ...
the whole idea of finite linear combinations is just foreign to me though.
who is it, hamel?
One of those two. I always forget.
whatever it is, it's the downfall of civilization.
02:44
Watching one of my students from my last year at UGA doing his doctoral recital in viola at Rice. Such a musical kid. And very mathematical.
One of the great things about COVID ... I get to watch these things on line.
Maybe they'll continue it post COVID.
viola, wow.
He did a masters in violin and math simultaneously at UGA.
one of my best friends from grad school's wife was a cellist. it's.. not easy to make those sound good.
but when they sound good they sound amazing.
Yes, cello can be murdered.
i used to tutor a former cellist in the SF symphony in calculus. he sent me a check for like $30 every month to be available on email. multivariable calculus was his thing.
02:47
You should have sent him to me :D
We know you can't visualize multivariable.
he was interested in newton's derivations of kepler's laws, that's mostly what we worked on.
oof, i just googled him and he died in december. RIP.
Oh, sad :(
In my days, I always worried about AIDS. Now we figure it's COVID.
the last death in my family was covid. it's very bad if you get it and are old.
Well, I'm old, so that's one reason I've been such a careful hermit.
i hope we do not forget all of the politicians who said that the only people who die of it are people who would have died anyway.
i don't romanticize the past but i think 20 years ago that would have been disqualifying from polite society, and now it's the new normal.
02:53
You mean all the ones who'll be running our despotic autocracy?
Over 900,000 dead in the US now. Well, it'll be gone just like that.
But the last 50% are all people who refuse to take the vaccine, so f*** them.
i have a micron-sized violin for some of them.
Meanwhile, doctors, nurses, and teachers are quitting by the droves.
i have a friend who is a pediatrician near her breaking point.
i tell her it will be better in a little bit.
I hope you're right, but I don't think so.
Lay all this at the feet of the thugs.
Ha! I just got a French wordle in 2!! Better than I've done in English.
It's a sign I should move to France.
03:12
i have an aunt who has a farmhouse about an hour away from paris by train. she has dementia and i'm not sure her unreliable daughters are even keeping track of it.
it should be my farmhouse.
03:22
@TedShifrin Thanks for that observation. I think one needs more miles underfoot to appreciate the connections.
i have a collection of computers from which i can play wordle in addition to my phone.
if that's what you need, i won't stand in the way of it. my wife and i each have a dedicated wordle device
@copper Think if it roughly as analogous to the FT, where differential equations transform to polynomial equations.
03:56
Someone used the word nonstandardly in a question and I fear it may ruin my ability to sleep tonight.
You only sleep standardly?
Not any more unfortunately :-). Even the slightest pressure on my bladder seems to require a trip to the little room.
@TedShifrin they really are under some delusion that they are going to strong arm the gov't into folding to their demands......The entitlement is astounding....
That’s our current age, @dc3rd
I am beginning to wonder if there is "foreign backers" as Leslie alludes to because 10M plus dollars is not a number to ignore in the amount they were able to raise from Go Fund Me even if it got seized
this damn Trump influenced wave has got folks turning their faces up at civility.....a damn lifelong grifter and crook has fully played 40+ M people for fools....I'm at a loss of words that the con has gone on this long and been this successful.....perplexed.....
04:11
Democracy may well go under …
Welcome to Apoplectia
Thanks to all the complicity of the power-hungry traitors.
I know you've been saying that for a while......but now I'm starting to truly be convinced you're not far off.....and it is disheartening as f**k
stocking up on canned food and ammo over here
and functional analysis texts
The latter are essential.
04:14
I'm not going to have much else to do besides working out wiht exercise bands so might as well pack some of those along to bring into the bunker.....
i carry food in my holster and keep my ammo in a can
a lawyer friend finds it impossible to believe that i do not have a stash of weapons in the house. i don't. unless you consider my speedos to be weapons.
i'll take Lee's manifolds, that way if I run out of fuel...
i found a convex psq but i was too trivial for an answer :-(
one of my former coworkers has five pistols in her living room. i made the mistake of looking for a coaster and, oh hello! this is the glock 20, is it?
i don't get it either.
None of my friends is so uncivilized.
the ammo for the glock 20 is expensive.
I’ll stick with gin.
04:24
thank Obama for that
10mm is just a weird caliber. but yes, thanks, obama.
Everytime Obama mentioned guns sales of weapons & ammunition went up.
Bond used to carry a Beretta 418 in the early Fleming series. A fan wrote and described the Beretta as a 'Lady's gun" and suggested the Walther PPK.
Personally, if I had to carry a concealed weapon around Albany (pretty dangerous here), it would be a P365.
my mom's dad was in the massachusetts state police firearms analysis division. when people would rob banks with hollowed-out pistols and such he'd take them home as trophies. i don't think this was legal even then. anyway we have all these weird photos of my mom holding a luger at heads of teddy bears.
But, while I like guns, I do not like them near my house.
there's also a great photo of my grandfather holding a tommy gun in some kind of police training exercise. he looks like a mobster. it's the coolest thing i've ever seen.
04:30
That's funny, I can't imagine my mother touching a gun let alone pointing at a Teddy bear.
that thing shot .45, it was no joke.
People (even experienced) with guns scare me. People do the dumbest things.
I have seen service folk sweep a loaded weapon across a room of people.
Nothing like having a gun pointed at you to make you pay attention.
this is a huge problem. LA cops have almost no training and do that kind of stuff.
i am sure i have whined about this in the past
or riled up private security at an event.
04:34
i went to the richmond gun club. next 'door' there were police and in another area there were military folks (just for fun)
the police (not the military) were shooting double tap.
a lot of local law enforcement is militaristic cosplay. i don't know how else to describe it.
i went over to ask why, uhh, to make sure we kill the target
yeah, but the irony is that the mil lads were fine with singles.
cool. thanks for the tax bill when they settle for $xx million.
they just rolled their eyes when i mentioned the double tap
i think they said something about tv cops playing with guns
Some of the first batches of Thompsons were bought (in America) by agents of the Irish Republic (notably the Irish politician Harry Boland). The first test of the Thompson in Ireland was performed by Irish Republican Army unit commander Tom Barry, of the West Cork Brigade, in the presence of IRA leader Michael Collins.[30]
from the wiki page for tommy guns.
04:39
a granduncle of my irish friend in the oakland hills was the one who planned the ambush that killed collins.
the song "the merry ploughboy" was popularised when i was around 6-7, and my parents took us on a trip to belfast
back then you were stopped at gun point and searched at the border. as kids, we were sort of oblivious (normal :-)) so just kept singing the merry ploughboy, completely ignorant of the political senibilities
we continued during our trip to belfast and while staying at the hotel.
my parents expressed some concern at the time. (shut up, will ya)
i think when you live in the aftermath of such things the excitement that the nra provokes is sort of lost on you
plus it was not always aftermath, unfortunately.
it's a bunch of men with father issues
04:50
men->boys
yeah, you said it
my da went to school with the leader of the provos at the time (en.wikipedia.org/wiki/Ruair%C3%AD_%C3%93_Br%C3%A1daigh)
different world. if 9/11 happened last century i imagine many fewer irish would be in the usa
we're working with a UCD alum right now as an expert on a patent case. because of the rules we aren't required to disclose him. he gives us good ideas that we throw into our briefing and they create complications.
interesting, presumably passed bar in ca?
no, he just has degrees in the field we need him in.
it's driving the other side crazy.
04:56
tech expert, i see.
of course, ucd, well, not as good as ucc
of course not.
a close friend is the vp of research at ucd.
well, we love their alumni.
remarkable person. turns out we attended the same elementary school
it helps to not be in the US because a federal court can't order you to testify somewhere. you have to go through all this international s--t.
so you get cheat codes to the technical side of your case.
04:58
:-)
we had one case where our technical witnesses were all in china, it was hilarious. good luck getting a US court to force a chinese national to do anything.
how do they testify? video dep?
they simply don't have to testify. they can agree to video stuff if they want, or to go to taiwan or the philippines or whatever. but if it's better that they don't, the other side gets nothing.
this drives US litigants crazy, but people need to understand that china is not the little brother of the US. it is its own thing now.
this is a us patent action???
sure. federal courts can call on people who are geographically nearby. otherwise you need a treaty thing.
to be honest, inventor testimony is not a huge part of most patent lawsuits. there's case law saying that it is irrelevant in a bunch of places, precisely because it is bound to be self-serving.
05:05
Who's addicted to math here :|
but if someone is in the US you can hassle them and if they are not, then you cannot.
makes sense. would seem to be a bit asymmetric.
and yes, the US is absolutely horrible as an international player in civil litigation in other countries.
so, good for the goose, good for the gander.
i am sorry i did not get some exposure to the basics of civil law while in school
i only got interested in it after i quit academia. i was incredibly ignorant.
05:10
yeah, same here with most aspects except for hands on stuff.
05:24
my wife is glued to the ice skating.
the last time i wanted to watch was with surya bonaly doing backflips
hah, and people said it was bad manners.
that's the only time i was interested in ice skating, too.
i have very mixed feelings about the olympics. i think the level of focus that a person needs to apply to succeed, and the universe around them that needs to rotate their way to enable it, is narcissistic.
it's not surprising to me that if you get up at 5am every morning and do some sport thing for a few hours, you can do better than everyone else at it. i wonder what we prioritize by acting as though it is exceptional to commit to such things.
same. the pro part (however you interpret it) takes away for it all for me. (admittedly there is cultural bias here, but i like these lads: youtube.com/watch?v=G8LeDANQ7UE)
i ran with an irish olympian many years ago.
 
4 hours later…
09:25
$\frac{\sin (x)}{x \sin(1/x)}$ is a pretty weird function
 
5 hours later…
14:20
if $P \in \mathbb{Z}[X]$ is monic, $P = \prod_{j=1}^n (X - \alpha_j)$, $\alpha_j \in \mathbb{C}$, is there an easy way to see $P_m = \prod_{j=1}^n (X - \alpha_j^m) \in \mathbb{Z}[X]$ for any $m \geq 1$?
14:36
https://en.wikipedia.org/wiki/Vieta%27s_formulas
and theorem about symmetric polynomials?
@porridgemathematics
yeah I figured it would involve both of those, im guessing by theorem about symmetric polynomials you mean something like the newton-girard identities right?
@Jakobian
yeah
yeah fair enough
i just didn't crystallize my idea on paper, but it seems natural
I mean, we certainly get by theorem that every symmetric polynomial can be written in terms of elementary symmetric polynomials, that $P_m\in\mathbb{Q}[X]$
14:57
wouldn't that even give that the coefficients are in $\mathbb{Z}$?
en.wikipedia.org/wiki/… since this works over all commutative rings, can we just apply it in this case to get what we want?
ah, yes
this gives us what we want then
awesome
thanks a lot for your help :)

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