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"Leiden" means "to suffer" in German : )
 
Oy, so we have three guys who have two Fields medalists as Ph.D. students? Interesting. Until recently Bott was uniquely determined by this property.
 
Goed back to "Georgius Hermonymus" somewhere in the 15th century.
 
Every man likes his tools!
 
@tb Who is the third guy?
@Matt Lijden in Dutch.
 
12:03 AM
@JonasTeuwen Laumon.
 
Thanks everyone! I just got my 10k+ rep.
 
Congrats! : )
Going to sleep, good night folks! It's been pleasant to hang out with you, as always.
 
Goodnight.
 
Good night.
 
Congratulations, Srivatsan!
 
12:05 AM
Thanks, Matt and tb.
Sleep well, @Matt.
 
I'm far off 10k... I need to work less and post more!
 
One of my professors has the incredible ability to link geometry to everything.
In his last lecture he mentioned that cryptographers are very interested in zeta functions.
 
@ZhenLin It is probably not relevant anymore, but I've talked to a PhD from Louvain, he said that it should be no problem if you don't speak French (not even in the shops and so on) but you might be required (depending on the funding) to teach and that might be in French, but there are probably solutions to that.
Wait, you were the guy that wanted to know this right? 8-). Maybe I'm confused.
 
@Jonas: Ah, interesting. Thanks.
 
@tb Do you have any deleted answers? I want to start with yours... =)
The next milestone is the ability to protect questions. Ooh... that one sounds like a responsbility. =)
 
12:11 AM
Congratulations @Srivatsan.
 
Thanks, Jonas.
 
Coffee makes me feel philanthropic, whisky makes me feel misanthropic. What would coffee with whisky do?
 
@JonasTeuwen Are you sure you're not already on whisky?
2
 
@Srivatsan Most deleted ones aren't that interesting here's one from me that I happen to remember there are a few more but not that many.
 
@Srivatsan I am!
(on whisky)
 
12:13 AM
Cool tb, I can see it. ;)
 
I think that one was even right :)
 
@tb So why delete it?
 
Why not?
 
Aw, I am getting the Fanatic badge in 3-4 days.
I am just curious. It's your answer and all; you may very well delete it =)
 
@Sri, congrats. I think my estimate was off by only one day... :D
 
12:17 AM
Good morning @JM
 
@JM Thanks, JM. I overestimated it myself =)
 
Good morning to you both. (The transcript was long...)
 
Very good morning, JM.
 
I already have three equivalent definitions for a Gaussian Hardy space 8-).
But no atomic one yet.
 
atomic?
 
12:20 AM
Jonas, just so we're clear: you aren't checking student papers while on hooch, no?
 
@JM No :-).
@Srivatsan Yeah, like for every f in H^1 we have lambda_n complex numbers and F_n atoms such that f = sum lambda_n F_n.
 
@JM Well, that's how he wades through all the scrolls. Why do you think he sees Chinese characters instead of seeing a perfectly normal $f$? =)
 
Good. :) You get too loopy with whisky...
 
No seriously. One used Chinese characters to denote functions!
 
Yes, Jonas. I am sure. =)
 
12:22 AM
Maybe they meant "You're a fool!".
 
My first Galois Theory lecture last year used Japanese characters to represent unknown algebraic numbers. First he wrote down alpha, but then said, "maybe that looks too legitimate", and replaced it with あ.
 
@JonasTeuwen That'll be too mean on their part.
@ZhenLin You speak Japanese?
 
Yes.
 
@JonasTeuwen I liked to write acrostic poems in my solutions...
 
@tb Heh, what did they say for example?
 
12:26 AM
I can't believe this. There's a coffee-shop reading group sitting besides me discussing Star Wars. Which year did you say we are in?
 
A coffeeshop huh?
There are three of those in Delft.
 
Yep, I like this one. It's open till 12.
 
But people don't read stuff there.
 
@JonasTeuwen Nothing particularly funny. Allusions to the literature mostly. One favorite was "Der Kaffee ist undefinierbar".
 
@Srivatsan Star Wars is timeless, man. Don't you understand?! :D
 
12:28 AM
@JonasTeuwen Not that kind of coffee shop, dummy!
 
@t.b. :D
(I think that was one of the parts of Amsterdam that I liked...)
 
@JM Man, these people are a distracted group. Now, they are talking about Pittsburghing. "In this city, is not raining or snowing. It is Pittsburghing." Don't ask me what that means... :-/
 
I'd feel stupid if people talk like that near me.
 
@tb Well, you would call that a coffeeshop?
 
@Sri: From what I'm told, the weather there is about as delightful as British weather...
@Sri: "coffeeshop" has a bit of an added meaning in the European context... :)
 
12:31 AM
Oh yes, it is delightful. You should check it out... =)
@JM I figured. But I should confirm.
 
@Srivatsan Was that an answer to the "added meaning"? :D
 
:) // I meant the city, but the added meaning works.
 
Jonas, how far is Delft from Amsterdam?
 
About an hour by train.
(Direct connection)
(From the centre to the centre).
 
I see, thanks. I was only in Amsterdam for two days way, way back, but at least I got to hang out in one of those coffeeshops. Like, woooow... >:)
 
12:34 AM
 
Cool.
In smart shops they sell grow kits 8-).
 
The one I saw, it's as if they're inviting you to open one of your own...
 
@tb Thanks. Alright, from now on, I use the word café.
 
They have some excellent beer café's in Amsterdam.
 
@JonasTeuwen This café sells only coffee and the like.
 
12:37 AM
How boring.
 
@Jonas: at least it isn't Starbucks.
 
Whoah.
Even the light roast from Starbucks is burned.
 
It isn't, but how do you know, JM? =)
 
@Sri: You're too cool for Starbucks. ;)
 
In some places I've been to I was glad that there was a Starbucks because that was the only way to get something at least distantly resembling an Espresso.
 
12:40 AM
@JM Let's hope so. My friends actually hate me frequenting this place. They say it's next only to starbucks (a bit of an exaggeration, but you get the point).
But what do I do? These are the only people open so late.
 
Get an espresso machine yourself. I suggest the Izzo Alex Duetto.
An excellent dual boiler PID controlled machine.
 
principal ideal domain controlled?
 
@JonasTeuwen Well, I like to be in a cafe. [Spare me the accents, please. =)]
 
^ I saw that one coming
 
12:42 AM
Make that "get an espresso machine and your own Internet connection"
 
well that's disappointing
 
Proportional Integration and Differentiation. They take the signal... Integrate it, differentiate it multiply it and add those.
And feed that back to the "output" 8-).
 
@Sri: you can still use "coffee shop"; you're in America, so we know what you're talking about... :)
 
Alright then.
Aw, man. These people are now talking about food. That reminds me: I am hungry...
See you everyone.
Thanks, all!
 
A coffee shop without food... I shouldn't be so surprised, but...
See you, @Sri.
 
12:45 AM
@JM It has food, but I want to go somewhere else at least for dinner.
Not good food, though.
 
@Srivatsan Have a nice meal!
 
See you Srivatsan
 
Then effectively there is no food there... :)
 
@JM No, it makes a difference, JM. HINT: Think of a starving man sitting in a coffee shop at 11pm.
 
QED
lol
 
12:47 AM
I went to Wolfram Alfa with my question: Is infinity equal to infinity?
2
 
Bye all!
 
QED
bye
@Skullpatrol, it says True
 
I also tried Is infinity not equal to infinity?
 
But it also says that 2 = 1.
 
QED
12:51 AM
I wonder what "infinity" is interpreted as
 
Just a symbol I think.
 
I think it is interpreting infinity as "timeless"
because of the result I got for Is infinity not equal to infinity?
 
QED
neither of your answers satisfies me
:)
 
@JonasTeuwen Excellent point!!!
If it is interpreting infinity as "timeless" then it is true that "timeless" is "timeless"
 
QED
it doesn't make any sense
 
12:55 AM
or time withOUT end
 
Sense. You make not.
 
@QED I agree
 
QED
I want to get a math book to study
or lecture notes
 
About?
I suggest harmonic analysis.
 
(Asaf was so unsubtly nudging QED into set theory a while back...)
 
12:58 AM
@QED I am trying to find a way to stop people from thinking of infinity as a number, as you wrote in one of your comments,
 
QED
I am looking up harmonic analysis
 
@JM What would you nudge me towards?
 
@JM other than a cliff
 
By golly! It has been 2 o'clock!
 
1:03 AM
@JonasTeuwen A PhD in obsolescence LOL!
 
JDH might say otherwise
 
Good night guys.
 
Good night!
 
@QED Do you remember when you said you wanted to find a way to stop people from thinking of infinity as a number?
 
QED
yes
 
1:15 AM
The way I thought of was to take away the reflexive property from infinity and say that infinity =/= infinity
but, alas Wolfram Alpha has stated that infinity=infinity is true
But if you enter: 4 Infinity=Infinity + 1? It also says true
 
@Skullpatrol: seen this?
And also this.
Could some 3k+ user take care of this?
 
QED
1:31 AM
therefore infinity = 1/3
 
@tb Thank you for the links. I think the statement: " the question "Is infinity a number?" has no one answer all the time." answers my question completely
A question that has no one answer all of the time will take some getting used to
but as von N said you don't have to understand it just get used to it
 
1:47 AM
@tb Dropped the guillotine.
 
@JM Very good, thanks! BTW: long train rides are very good for making progress in thick books. Plowed through quite a few pages of Reamde :)
(no worries, no spoilers)
 
Oh, you think it's good? I think I'll be able to get my own copy soon... :)
 
So far it wasn't disappointing at all...
"Tensors?" Richard had no idea what a tensor was, but he had noticed that when math geeks started throwing the word around, it meant that they were headed in the general direction of actually getting something done. :D
 
2:02 AM
Of all the... :D
(could've chosen something that's not so much a PITA to manipulate...)
 
@tb This question reminds me of the division by zero question, sometimes it is not a number and 0/0 can be any number.
 
QED
I don't agree that 0/0 can be any number
 
@QED 0 times any number is 0 isn't it?
 
QED
yes
 
So, any number is 0/0
 
2:13 AM
no
 
QED
no
 
some things just have no meaning
0/0 is one of them
unless you explicitly say what you decide you want it to mean
 
QED
/ : R x R\{0} --> R
 
@mercio exactly you choose which of the any numbers you want 0/0 to equal
 
but then you would have to explain to me why you would like 0/0 to be equal to square root of 156
 
2:16 AM
but you can't choose any number at all to equal 1/0
 
because I personally don't see any reason you would like 0/0 to be equal to square root of 156
1/0 doesn't exist
0/0 neither
but if you want to say that 0/0 is equal to square root of 156, you can
 
QED
if you set 0/0 = c then 2c = 0/0 + 0/0 = 0/0 = c so c = 0
 
let us say that the numerical data of the limiting process pointed to the square root of 156
 
what the hell is a nulerical data of a limiting process with a point
 
as the value of 0/0
 
2:18 AM
I'm used to numbers being 1 2 3 ...
I'm not used to them being data of limiting points with numerical processes
 
as von N said you don't have to understand it just get used to it
 
QED
but if 0/0 = 0 then 1/0 = 1/(0/0) = 0/0 so 0 = 0*1/0 = 1
and if 0 = 1 every number is equal to every other number: a = b because 0*(a-b) = 1*(a-b)
 
no von neumann was talking about something else
he was not talking about logical rules
and logical reasoning
and proper definitions stating what we are working with and what are the rules of the game
 
@Skullpatrol Well, they are related. The point QED and mercio are trying to make is that 0/0 taken per se does not have a meaning and that by manipulating indeterminate forms you can massage expressions to give basically anything you want.
 
he was talking about what we can discover in our little game of maths with precise and understood rules
 
QED
2:22 AM
I proved that if you pick some value and set 0/0 to it, then 0 = 1
 
@QED You can't do algebra with the "expression" 1/0 because its not a number
 
then what do tou want to do with it ?
 
QED
@Skullpatrol, I show under the assumption that it is a number that 0=1
Since 0 is not 1 this points out that the assumption is flawed
 
because it's like laying a big trap, saying that 0/0 exists but that you can't do any algebra with it, because we like to do algebra with 13/6
we like saying that 13/6 = 26/12 or whatever, and we like reasoning about it
so if you want 0/0 to exist but also that it doesn't behave at all like any regular a/b, why would you call it 0/0 ??
 
QED
@Skullpatrol, does what I said refute "any number is 0/0" or not?
 
2:28 AM
what kind of reasoning do you want to involve "0/0" in ?
 
QED
none
 
@QED I was asking skullpatrol
 
@QED Could you elaborate on " if you want 0/0 to exist but also that it doesn't behave at all like any regular a/b, why would you call it 0/0 ??
 
QED
I didn't say that
 
you told us "you can't do any algebra with 0/0 because it's no a number"
but usually, when we see a fraction, it is a number
and usually, we can do algebra with that fraction
so if it's not a number, and if you can't do algebra with it
why do you call it "0/0", unless you want to confuse everyone ?
 
2:32 AM
@mercio The kind of reasoning that 0/0 is involved in is the computation of the instantaneous speed of an object... which is the change in position divided by the change in time... this is a ratio of two very small numbers ---> 0
 
well then just talk about limits of sequences of ratios
 
QED
0/0 is not involved in any reasoning
 
I remember when I was young
 
QED
I asked you a question by the way
@Skullpatrol
 
I was very confused when my brothers used to tell me "0 times infinity is anything"
because 0 times anything is 0
always
and it took hours
to discover that they were not talking about 0 times some number
 
QED
2:34 AM
The problem there is that "infinity" isn't a number
 
but they were talking about sequences of number
and they weren't talking about 0 times something that goes to infinity
so the 0 was not even 0
they were talking about the product of a sequence of numbers that goes to 0 with another sequence of numbers that goes to infinity
 
@QED You asked "why would you call it 0/0??" and my answer is that it is a shorthand for The kind of reasoning that 0/0 is involved in is the computation of the instantaneous speed of an object... which is the change in position divided by the change in time... this is a ratio of two very small numbers ---> 0
 
then you have to explain about that when you talk about 0/0
and really you should say "the ratio of two sequences that converge to 0"
which will be clearer for everyone
 
QED
@Skullpatrol, No I did not
 
otherwise people will get confused everywhere, asking why there is a 0 where you are thinking about a sequence of very small numbers instead
 
2:37 AM
@mercio Yes, that is clever but I'm not trying to be clever
 
QED
@Skullpatrol, I asked: does what I said refute "any number is 0/0" or not?
 
the point is not to be clever, it's that when you write something, the readers understand what you wrote and don't think about something else entirely
because when I read "0/0", I usually don't think about "oh it's just a ratio of very small numbers, which by the way I have no idea what they are"
I think instead "it's the number 0 divided by the number 0. Well that doesn't exist."
 
@mercio the number 0 divided by the number 0 DOES exist it can be ANY number
 
So instead of saying "0/0 can be anything"
NO
 
QED
@Skullpatrol, Why are you ignoring me?
 
2:42 AM
you have to say "for every number x, there exist sequences (an) and (bn), converging to 0, such that the sequence an/bn converges to x"
 
@QED I'm not... I can only talk to one person at a time ...sorry about that ;-)
 
QED
ok
 
and then everyone will understand you and know what you're talking about and agree with you
but if you say "0/0 can be anything"
they'll say "0/0 = 12 = 54", so you're -154 year old
and you don't exist
 
but just a few minutes ago you said that "I'm used to numbers being 1 2 3 ...
I'm not used to them being data of limiting points with numerical processes"
and it appeaers that you were laying a big trap
 
I like traps
 
2:47 AM
;-) so do Professors
and teachers in general
 
QED
why don't you try to answer my question now
 
@QED It really depends on which definition of division you use
 
QED
what
 
I would think that it depended on which definition of "0/0" you use
 
if you use the algebraic definition: a/b = a*1/b then both 0/0 and 1/0 have no meaning
 
QED
2:51 AM
can you try to answer my question please?
 
@QED try looking at my explanation under the question "Division by 0" I'm sorry but I have to go now ... I'll try and come back as soon as possible math.stackexchange.com/questions/26445/division-by-0/…
 
QED
ugh
 
@QED I'll try and come back as soon as possible
 
who would go to wolfram alpha (aka the great math oracle who is right on everything) to ask if infinity is equal to infinity ?
that's like .. not understanding what "equals to" is all about
 
QED
I just find it a little rude ignoring what I was saying and refusing to answer my questions
 
3:06 AM
he did say that you were not supposed to do algebra with it
do you know what's his background ?
 
@mercio "right on everything" is a bit too much... ;)
 
QED
no
 
I know I was emphasizing a blind safe that people have in calculators in general
 
hi all
@JM : if you are a bit free i have a question
 
Fire away.
 
3:13 AM
@QED Infinity isn't a number?? ;-p
@RajeshD JM may have screw loose, but a bit free?
@JM (sorry :-)
 
@rob: you'll want to replace "may have" with "definitely has"... :)
 
well I don't even have screws
 
But you do have marbles, no? :)
 
Being a family oriented site, I won't take this any further :-)
 
I would have to check
 
3:17 AM
The is a periodic function 'f' which is smooth everywhere except at point P where the 1st derivative jumps. Let {a_k} be the Fourier series coefficients. The Fourier series formed by the coefficients {k*a_k}, does it converge to derivative of f except at P, or does it diverge everywhere, or nothing can be said about it ?
@merico : If you are not having merbles, then you definetly have a pair of baseballs
 
What do your a_k look like?
 
it probably converges to f' everywhere except at P where it converges to the midpoints of its sided limits
 
@JM meaning ?
 
but I don't know I never liked Fourier transforms
 
I haven't found any theorem on it, Although there is a theorem which says that if the derivative exists everywhere then it converges to the derivative, but does not say anything about it when it is not differentiable (in the book by zygmund)
my guess is that it diverges everywhere, as {a_k} may not dissipate faster than 1/k^2.
 
3:23 AM
@Srivatsan here's another one */me losing patience* (see edit history).
 
well since it the derivatives exists everywhere but at a set of measure 0, it's as if it existed everywhere
and maybe you're in the middle of proving that fourier coefficients of smooth functions decrease faster than polynomially
 
@QED I apologize for appearing to be rude by not answering your questions, but as I said I can only talk to one person at a time... did you get a chance to look at my explanation math.stackexchange.com/questions/26445/division-by-0/…
 
QED
we already discussed that
in this chat
maybe it was last week or something
in any case it doesn't answer my question
 
@QED the link at the bottom gives a much more complete discussion of this
 
QED
I wonder why you are still refusing to address my question
 
3:36 AM
@QED I'm not refusing ... I just forgot the question in all the confusion
 
QED
OK
 
@QED Please restate your question and I will try to answer it :-)
 
QED
I proved that if you treat 0/0 as a number then 1 = 0. Assuming you read and understand that proof, doesn't that refute your statement "any number is 0/0"?
 
@QED The statement "any number is 0/0" is just a memory aid to keep the two separate cases "no number is 1/0" clearly separated ....
 
QED
ok
 
3:42 AM
the rigorous part is the proof that 0 times any number is 0
as found in the link that I provided
it is based on the properties of Real numbers that are accepted as true
namely a*1/a=1 ; a=/=0
that is why you can't do Algebra with 1/0
in fact the Algebraic definition of division clearly states that a/b = a*1/b; b=/=0.
 
Skullpatrol, are you the same person as Rob? That answer was wriitten by a Rob, but when I click the timeline, your name appears in all the edits. It's quite puzzling.
 
@Srivatsan Yes, why?
 
@Srivatsan "Rob" was once his name, yes.
 
Ok, that explains it.
 
I didn't want to be confused with "robjohn"
 
3:50 AM
I wouldn't worry about that too much. =)
 
@Srivatsan Please feel free to help with this explanation ;-)
 
But on a serious note, it's quite hard to keep ids unique. Either you should have a name like mine, or you should pick a unique id like you did.
@Skullpatrol I am just saying that there are multiple pairs of people with the same usernames. I imagine it somehow works.
I do guess it would be problem in chat... Like both of you will be pinged by a comment addressed to @rob.
 
@Srivatsan I agree
 
Matt was complaining that he is pinged by all our comments to the other Matt. ;)
 
the rigorous part is the proof that 0 times any number is 0
as found in the link that I provided
it is based on the properties of Real numbers that are accepted as true
namely a*1/a=1 ; a=/=0
that is why you can't do Algebra with 1/0
in fact the Algebraic definition of division clearly states that a/b = a*1/b; b=/=0.
 
3:54 AM
The simplest solution is that one calls himself "Mattie", and the other calls himself "Matthias"... :D
 
@JM I just noticed your naive -> naïve edit... =)
@JM Mattie!? Is that even a (nick)name?
 
@Srivatsan Well, I was already editing a lot of things, I might as well... :D
 
So separating 0/0 into 0*1/0 is not allowed Algebraically according to the Algebraic definition of division
because 1/0 is not permitted
 
@Skullpatrol: can we move on to another topic, please?
2
 
@QED Does that answer your question?
 
QED
3:58 AM
no
 
@QED Well t.b. has made a request to move on
to another topic
I assume he finds this boring and too easy
 

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