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user19161
00:00
@emack DO you use emacs???
Charlie
Charlie
@WillHunting his user name is part of his real name
he already explained
:)
user19161
@Charlie Oh, I wasn't here then.
EMACK
EMACK
Yes, it is part of my name: Eli Mackenzie
user19161
HAHAHAHA
Charlie
Charlie
Don't you just wanna kill people who sleep during lectures?
user19161
00:04
You can sleep as long as you are not the lecturer.
user19161
Also, they might not be sleeping but thinking deeply like Erdos.
Charlie
Charlie
it's impolite
user19161
He often closed his eyes to think of the solution to a problem at a talk.
user19161
Often he would find the solution by the end of the talk.
user19161
@Charlie impolite
Charlie
Charlie
00:05
@WillHunting but if one is snoring...
user19161
Nah, it's not impolite, just don't distract others.
Charlie
Charlie
@WillHunting :)
@WillHunting yes it is
user19161
A lot of courtesy in this world is superficial.
Charlie
Charlie
and annoying
user19161
Man has replaced true empathy with superficial acts of courtesy,
Charlie
Charlie
00:06
couldn't pay attention with that noise
user19161
FOr example, shaking hands. I don't shake hands.
Charlie
Charlie
@WillHunting I like shaking hands
user19161
Firstly I have sweaty palms so I don't do it.
user19161
Secondly I find it quite a silly meaningless act.
Charlie
Charlie
@WillHunting i don't think so
you feel the person
look into one's eyes
user19161
00:09
Haha, you know I usually don't look into the person's eyes directly for too long.
user19161
That's because my brain waves are too powerful so I feel overwhelmed when I do that.
Charlie
Charlie
@WillHunting ha ha...
user19161
I think argon went for dinner...
Charlie
Charlie
probably
user19161
I am hiding in his food.
Charlie
Charlie
00:12
hahahaha
you could have a dinner with anon
user19161
HAHAHA, maybe next time when I go there.
Charlie
Charlie
yes
user19161
We can both have vanilla ice cream =)))
Charlie
Charlie
i like vanilla ice cream
user19161
Speaking of ice cream, I once had a conversation with my best friend about ice cream.
Charlie
Charlie
00:16
then?
Old John
Old John
Hmm - is MSE misbehaving for anyone else>
user19161
We were wondering why there is vanilla strawberry and chocolate flavours.
user19161
@OldJohn Yes, disappears right?
Old John
Old John
yep - no questions :(
user19161
And I think I said something like well, it just happened that way, those flavours.
Charlie
Charlie
00:18
@WillHunting ?
user19161
@Charlie THat's all.
Charlie
Charlie
hmm
i like frozen yogurt
user19161
The point is that sometimes things happen in an arbitrary manner and then they become stuck.
Charlie
Charlie
again: ?
user19161
HAHA, this is deep stuff man. =)
Charlie
Charlie
00:20
LOL
user19161
You know, looking at ice cream you see why the world is the way it is.
Charlie
Charlie
are you high while you do this?
user19161
Sometimes people start doing things in a certain way in a society.
Charlie
Charlie
so?
user19161
THen after that inertia takes over and then people just keep doing things that way.
user19161
00:23
THat's how cultures form. That's why it is hard for people to change.
Charlie
Charlie
hmmm
user19161
So the point is, if somehow it was not strawberry vanilla and chocolate ice cream but something else, then we would have something else as the more common flavours today.
Charlie
Charlie
I always think about you when i see these things
user19161
@Charlie No, I think of such things all the time...
Charlie
Charlie
@WillHunting ok
i like to try new ice cream flavors
don't you, @will ?
user19161
00:29
@Charlie Well, I don't really eat ice cream nowadays. But I like to stick to things I like.
Charlie
Charlie
@WillHunting comfortable zone
user19161
@Charlie Rather, you can call it faithful. Isn't that great?
Charlie
Charlie
hmm meh
or accommodated
user19161
For example, before I chose TeXworks, I tried out like 10 editors.
user19161
After that I just stick to it.
Charlie
Charlie
00:31
yes, we stick to what we like. fair
user19161
You know, some people can get so drunk that they walk through glass doors!
Charlie
Charlie
yes...
user19161
Then the glass breaks and they kind of look a little surprised. My mum saw it before, hahaha
Charlie
Charlie
"sae" ?
Henning Makholm
Henning Makholm
I lost 96 points to a removed user. Now I wonder whether dear departed downvoted me twice or I him four times.
Old John
Old John
00:39
@HenningMakholm aah - such imponderables - and it seems we cannot identify the dear departed user at all :(
Charlie
Charlie
Bye again boys... sleep is coming..
see you tomorrow
Old John
Old John
@Charlie bye!
Charlie
Charlie
Bye!
Garbage Collector
Garbage Collector
@WillHunting Please go to bed.
Henning Makholm
Henning Makholm
00:56
Hmm, the user previously known as J.D. seems to have disappeared within the last about 70 days.
Garbage Collector
Garbage Collector
@HenningMakholm Jasper Loy?
Henning Makholm
Henning Makholm
@GarbageCollector No, I don't think he's ever called himself J.D. And he's still here as far as I can see.
Garbage Collector
Garbage Collector
@HenningMakholm OK. Thanks. :-)
Kassym Dorsel
Kassym Dorsel
01:35
Hello. If I want to find lagrange multiplier of f(x,y,z) given the only constraint is -5<x<5 how would one go about setting that up. I know how to do it if the constraint was in a function form... Or how to I turn that interval constraints in to a function form ?
 
1 hour later…
Peter Tamaroff
Peter Tamaroff
02:41
-105 user was removed.
FML
Dan Brumleve
Dan Brumleve
02:57
i have no idea what these commenters want me to explain math.stackexchange.com/a/233766/1284
i already explained why i downvoted and how i feel about the issue now
it was because of my opinion, contraindicated by best practices, i wouldn't have downvoted had i known what i know now, but i'm not sorry about having done so. what else is there to say?
Dan Brumleve
Dan Brumleve
03:11
well i retorted but now i feel slightly petty.
one of the various reasons i'm not sorry is that i think it's best to hold higher-rep users to a higher standard.
Peter Tamaroff
Peter Tamaroff
03:56
@DanBrumleve <<<<<<<<<<<<<<<<<<<<<<<<t
The downvotes are not called for.
Dan Brumleve
Dan Brumleve
?
Peter Tamaroff
Peter Tamaroff
I think you misinterpreted the question.
Dan Brumleve
Dan Brumleve
i understand that now.
err i understand that they weren't called for.
i don't believe i misinterpreted the question.
although i understand now that others have a different and perhaps valid interpretation of the question.
i only say "perhaps" because OP hasn't chimed in, other than to accept an answer.
Peter Tamaroff
Peter Tamaroff
I mean, if we know the error is $0.0000000000000000000000XYZ$ then we have those many zeroes accounting for correct decimals.
Dan Brumleve
Dan Brumleve
maybe you aren't understanding my point.
Peter Tamaroff
Peter Tamaroff
03:59
What is your point?
Dan Brumleve
Dan Brumleve
if many of those trailing 0s correspond to 9s in the partial sum, then we can't use stirling's formula to bound the number of terms that have to be added. i tried to explain my point in different comments.
OP asks "Is it possible to predict how many correct decimal places I get when I stop summing at n terms?"
Peter Tamaroff
Peter Tamaroff
Well, you need to use a better version of Stirling, that's all.
Dan Brumleve
Dan Brumleve
i am actually reaching a bit when i say "no" but i edited to clarify as probably not.
maybe.
how do you know that the number of consecutive 9s at position n of of the decimal expansion of e doesn't exceed n/2 an infinite number of times?
Peter Tamaroff
Peter Tamaroff
Huh?
I gotta go
Dan Brumleve
Dan Brumleve
cya check out the thread another time
that's slightly off from what i am saying but maybe close enough.
is the worst case running time of any digit-extraction algorithm for e even known? i am claiming it is not unless one makes assumptions akin to e is normal.
also @Peter i didn't downvote @robjohn's answer, it was somebody else, but i downvoted all the others.
and on the "no-effort-expended" front, the other answers are textbook answers to textbook questions, but the question is not a textbook question. robjohn may be correct about the first common meaning but i didn't know that and i wouldn't expect any undergraduate to.
interpreting the question as an easier version of itself is morally equivalent to a full homework solution, imho.
 
2 hours later…
Dan Brumleve
Dan Brumleve
05:56
and i retorted in the thread concerning "egregious and dangerous".
is any worst case running time of the bbp pi digit-extraction algorithm known?
Dan Brumleve
Dan Brumleve
06:19
hi @anon
Dan Brumleve
Dan Brumleve
07:10
i hope i am right to expect my character not to be questioned when i acknowledge that i was wrong and still refuse to repent. i know there are best practices outlined in the faq or whatever but this isn't a church right?
Dan Brumleve
Dan Brumleve
07:43
nice question math.stackexchange.com/questions/234046/… somebody must have
Dan Brumleve
Dan Brumleve
08:12
what's up @JonahSinick nice to see another user from my town
@GerryMyerson short and succinct and slightly steganographic and surely satisfactory as usual math.stackexchange.com/questions/234056/…
Dan Brumleve
Dan Brumleve
08:53
seriously i hope nobody here is bowing down to ZFC every hour. not trying to start a religious war or anything just saying we should accept all viewpoints right?
anon
anon
should we then accept the viewpoint that not all viewpoints should be accepted?
2
Dan Brumleve
Dan Brumleve
whoa too meta. but i guess mathematicians should be careful to distinguish our rightly held beliefs from what we can actually prove.
and that extends to the fluidity of language.
Dan Brumleve
Dan Brumleve
09:12
dunno why i'm so picky today chat.stackexchange.com/rooms/6387/…
Dan Brumleve
Dan Brumleve
09:25
anyone? anyone? @skullpatrol?
heyyeyaaeyaaaeyaeyaa.com
robjohn
robjohn
09:35
@DanBrumleve sorry, I just tried the link
@DanBrumleve my son sent me that link a few days ago.
Dan Brumleve
Dan Brumleve
ha ha
that link covers everything i've been saying on this nitpicky day.
user19161
09:47
@PeterTamaroff HAHAHAHA, sad panda. Clearly this user likes you a lot. I only lost 30.
user19161
@DanBrumleve I remember you downvoted me, yes. =)
Dan Brumleve
Dan Brumleve
just been exploring the power i still have a 2-digit U/D ratio.
user19161
@anon Well said bro, well said.
Dan Brumleve
Dan Brumleve
if my D/U ratio were irrational you'd best be really scared.
user19161
I ain't scared of such things. I have been through hell you know.
user19161
09:54
@robjohn Does he happen to be a user on MSE as well?
robjohn
robjohn
@WillHunting not that I know of.
user19161
@robjohn Hehe, I saw a Joe Johnson and thought that might be him. =)
robjohn
robjohn
@WillHunting that wouldn't be him.
Dan Brumleve
Dan Brumleve
:) my son is 2 i'm not completely sure either.
user19161
@DanBrumleve Hmm, let me look for "2 year old"...
Dan Brumleve
Dan Brumleve
09:56
he has successfully purchased ipad apps.
i think he got away with it because the authentication state is cached for some time.
robjohn
robjohn
@DanBrumleve and a 45 foot yacht...
user19161
Anyway, these SE maintenances are kind of weird. For once a month or so, I can't log in for hours.
user19161
That doesn't happen to gmail or other popular sites.
user19161
Hmm, maybe they have less servers or something like that.
Dan Brumleve
Dan Brumleve
we hope the best for our children whether or not we expect it.
user19161
10:02
Yes, yes. My children are in my underwear.
robjohn
robjohn
@WillHunting and you tuck them in before bed each night...
user19161
@robjohn HAHAHAHAHAHA
user19161
How come no one is flagging all this shit?
Dan Brumleve
Dan Brumleve
my baby sleeps. no SE problems here but i have a persistent gmail problem and today i realized that restarting chrome fixes it so i'm embarrassed by having complained to IT.
@Will we are thinking on a higher level.
user19161
Well, I just mean that there are many flags in this room. I think it is second after the gaming room.
user19161
10:05
I am partly the culprit here. I said many things which were flagged. I kind of remember all of them. =)
user19161
I remember I, Jonas, and n3b were each suspended once from chat. =)
user19161
I don't think I will even get married this lifetime, but if I do I don't think I wanna have kids.
Dan Brumleve
Dan Brumleve
i am under control i think. flagged myself once last week. i have taken offense in the past but with some experience i am more chill.
which is essentially why i decline to interdict in math.stackexchange.com/questions/234086/…
i would like to say it is a surreal or an ordinal or something but i don't want to push the issue.
Nimza
Nimza
10:20
Hello
hi @robjohn, I have a short question, do you know about Kalwankar-Gangal local fractional derivative? If yes, is it true that it is zero for differentiable functions? (I can't see it directly from definition)
@robjohn it is defined as $\frac{d^{\alpha}}{dx^{\alpha}} f(x)|_{x=y} = \frac{1}{\Gamma(1-\alpha)} \lim\limits_{x \to y} \frac{d}{dx} \int\limits_{y}^{x} \frac{f(t)-f(y)}{(x-t)^{\alpha}} dt$
robjohn
robjohn
@Nimza wait, I misread that... let me look more
Dan Brumleve
Dan Brumleve
10:41
the pickiness just won't go away... math.stackexchange.com/a/234101/1284 should i have dared to say f^2(x) = x^2+1?
regressively i invite any corrections to this vague answer. math.stackexchange.com/questions/234103/…
Dan Brumleve
Dan Brumleve
11:04
haha everything changes when i click that link.
what's goin on
robjohn
robjohn
@Nimza I was right. It is $0$ for $0<\alpha<1$...
$$
\begin{align}
\frac{1}{\Gamma(1-\alpha)} \lim_{x \to y} \frac{d}{dx} \int_{y}^{x} \frac{f(t)-f(y)}{(x-t)^{\alpha}} dt
&=\frac{f'(y)}{\Gamma(1-\alpha)}\lim_{x \to y} \frac{d}{dx} \int_{y}^{x} \frac{t-y}{(x-t)^{\alpha}} dt\\
&=\frac{f'(y)}{\Gamma(1-\alpha)}\lim_{x \to y} \frac{d}{dx} \int_{0}^{x-y} \frac{t}{(x-y-t)^{\alpha}} dt\\
&=\frac{f'(y)}{\Gamma(1-\alpha)}\lim_{x \to y} \frac{d}{dx} \int_{0}^{1} \frac{(x-y)^{2-\alpha}t}{(1-t)^{\alpha}} dt\\
&=\frac{f'(y)}{\Gamma(1-\alpha)}\lim_{x \to y} \frac{d}{dx} (x-y)^{2-\alpha}\frac{\Gamma(2)\Gamma(1-\alpha)}{\Gamma(3-\alpha)}\\
Dan Brumleve
Dan Brumleve
i try all the time in this institution. i gotta check out but that link was meant for skullpatrol who must be on vacation or something.
night everyone
Nimza
Nimza
11:26
@robjohn thank you! Oh... it's a real nightmare then :( What do mean authors when they say that $\frac{d^{\alpha}}{dx^{\alpha}} x^{\alpha n} = \frac{\Gamma(\alpha n+1)}{\Gamma(\alpha(n-1)+1)} x^{\alpha(n-1)}$ in the sense of local fractional derivative. Ohhhh
robjohn
robjohn
@Nimza I don't know much about fractional derivatives. I have never seen much use for them, but there must be some, or there wouldn't be much interest in them.
Nimza
Nimza
@robjohn I use them in economical modeling. I've seen guys who used it to model diffusion in liquid crystals
 
3 hours later…
Charlie
Charlie
14:05
@Nimza Hello!
J. M.
J. M.
14:19
@Nimza Remember that derivatives of arbitrary order are determined up to an additive constant... you are aware of the Riemann-Liouville definition, I presume?
@Nimza I don't have my refs handy, but that looks awfully like Caputo's definition...
@PeterTamaroff I'm so used to losing rep every month, I've gotten numb towards it...
robjohn
robjohn
@J.M. I don't remember users being removed as rapidly before August.
@J.M. Of course, I don't understand why they feel they need to remove their account. Why not just stop logging in?
Charlie
Charlie
But it sounds weird.... user is removed and people lose rep provenient of its upvotes and accepted answers?
sounds unfair...
@WillHunting You don't let us forget it :)
user55574
14:47
just a short question: $\mathbb{N}\times\mathbb{N} \subset \mathbb{N}\times \mathbb{N}\times\dots\times \mathbb{N}$ is wrong, right? I am a little confused at the moment :D
J. M.
J. M.
@robjohn No idea. One would hope there was a record somewhere of "I want my account deleted because yadda-yadda..."
Oh well.
@leonard Why would you think it's wrong?
user55574
@J.M. oh no. it's right. you just can choose any coordinates in the tuple of left sidte -.-
J. M.
J. M.
@leonard Think of it as a two-dimensional "slice" of the $n$-dimensional lattice...
user55574
@J.M. yeah that's what I haven't thought... :D
Katie Dobbs
Katie Dobbs
15:08
@leonard I don't know, it could be pedantic but technically $\mathbb{N} \times \mathbb{N} \subset \mathbb{N} \times \mathbb{N} \cdots $ is false.
E.g The element $(0,1)$ is not a member of $\mathbb{N}^3.$
It is often useful to identify the subset of $\mathbb{N}^3$ that has, say, the 3rd coordinate 0, with $\mathbb{N}^2$, but that is not to say that $\mathbb{N}^2$ is a subset of $\mathbb{N}^3.$
J. M.
J. M.
@KatieDobbs So, we're asking if zero is a natural number, then? Of course, you're supposed to pick one convention and stick to it in your work...
Greg Ros
Greg Ros
It'a subspace, but the question of whether it is a subset is debatable.
Katie Dobbs
Katie Dobbs
@J.M. That is not what I meant. Would it help then if I phrased a new example like this: The element $(2,3) \in \mathbb{N}^2$ is not a member of $\mathbb{N}^3$ which is the set of all ordered triples of natural numbers.
Greg Ros
Greg Ros
I think it would be correct to say that it is, though.
You could define it as a space with the basis $a̱, ḇ, c̱$. In that case, elements of â„•² would be linear combinations of $a̱, ḇ$ and elements of â„•³ would be linear combinations of all three vectors.
J. M.
J. M.
@KatieDobbs Well, phrased that way...
Greg Ros
Greg Ros
15:16
In that case, the elements of â„•² would just be a subset of the elements of â„•³ with the last coefficient 0.
J. M.
J. M.
@KatieDobbs I was thinking somewhat geometrically here, but I see where you're pointing.
@GregRos (if you're sticking to the convention that $0 \in \mathbb N$, of course... :) )
Greg Ros
Greg Ros
Well. Shit.
Just... wow. What I just wrote has so many problems.
Katie Dobbs
Katie Dobbs
Of course, if you are thinking geometrically, and use vector space structure and such, we can naturally identify N^2 with some subset of N^3, but in the purest form, set-theoretically speaking and with no other structure, N^2 is not a subset of N^3.
J. M.
J. M.
As I said, a matter of convention. I stick to "natural numbers are nonnegative integers"; but, there's this clique that works as "natural numbers are positive integers"...
Greg Ros
Greg Ros
No, it doesn't matter. â„• cannot be a vector space.
No you're right. @Katie Dobbs
Katie Dobbs
Katie Dobbs
15:21
Oh yes I was thinking of something else. But yes the point is, it is usually in some algebraic context that one wants to identity N^2 with some subset of N^3, and in these contexts this is a natural thing to do and no big fuss is made. But if you are talking to a set theorist, then they would object.
Nimza
Nimza
@Charlie goood day to you Marilia!
@J.M. Nice day J.M.! Yes! I use Riemann-Liouville definition of nonlocal derivative to define local derivative. As result I obtain Kolwankar-Gangal local fractional derivative :)
Greg Ros
Greg Ros
Hahaha! Oh, that killed me!
Not Kolwankar-Gangal local fractional derivative! That's hilarious!
Nimza
Nimza
@GregRos hm? :)
Greg Ros
Greg Ros
Just kidding :P
Nimza
Nimza
he-he-he)
J. M.
J. M.
15:24
@Nimza He doesn't want to tell us the punchline... ;P
Greg Ros
Greg Ros
Ah, the punchline was using ... to define ... and as a result obtaining ...
J. M.
J. M.
@Nimza Okay then; what then is your concern with the differintegrals?
Greg Ros
Greg Ros
Is normal space a subset of hyperspace?
Nimza
Nimza
@J.M. Oops, I can't undersrand what you're asking :(
J. M.
J. M.
(Anyway: in general, the differintegral of a constant isn't zero.)
Greg Ros
Greg Ros
15:27
What about cyberspace?
Nimza
Nimza
@J.M. KG derivative of constant is constant :) Because in terms of RL derivative it is $\lim\limits_{x \to y} {}_{y}D_{x}^{\alpha} (f(x)-f(y))$
Charlie
Charlie
@Nimza Thanks Alexey!
J. M.
J. M.
@Nimza I suppose the constant would depend on your choice of lower limit... :)
Nimza
Nimza
@J.M. wait a second... I'll look again for places of $x$ and $y$ :P
@J.M. yes, that's right) We pass to the limit our lower limit. Wow, tautology
J. M.
J. M.
SFAICR, the Kolwankar-Gangal definition isn't in the refs I know. Could you point out where these things were discussed?
@Nimza I figured as much. :)
Charlie
Charlie
15:30
@GarbageCollector hey, wassup?
Nimza
Nimza
@J.M. apmaths.uwo.ca/~mdavison/_library/preprints/lfd2.pdf voila. Look at page 2 for definition :)
Garbage Collector
Garbage Collector
@Charlie I have just eaten yakiniku. :-)
Greg Ros
Greg Ros
I can't log in to Steam without buying something ;_;
Charlie
Charlie
@GarbageCollector Nice! even though i don't know what is that :)
J. M.
J. M.
@Nimza Ah, quite nice. I note you are able to do "left" and "right" differintegrals with this definition. Very convenient.
Garbage Collector
Garbage Collector
15:34
@Charlie i.sstatic.net/cUos4.jpg
Charlie
Charlie
@GarbageCollector And is it good?
Greg Ros
Greg Ros
I really hate numbers in math exercises.
Nimza
Nimza
@J.M. Yup! Very nice thing! It was invented in 1994 I think (and first appeared in publication in 1996, as I've seen)
Greg Ros
Greg Ros
They're so icky.
Garbage Collector
Garbage Collector
@Charlie Yes.
Charlie
Charlie
15:34
@GregRos Yes!!! Me either
@GarbageCollector :D
Greg Ros
Greg Ros
I try to substitute a parameter when I can.
robjohn
robjohn
@J.M. If they ask in chat or in a comment, there is a record. However, I think some ask by writing the SE staff, and there then no record.
J. M.
J. M.
@Nimza Yes, I'm running through the papers I got from Google Scholar now. Thanks for this; I have learned something new today. :)
@robjohn ...and you'd wonder why there's no coordination with math.SE mods. Ah well.
Nimza
Nimza
@J.M. Heh :) But I don't like it since derivative of differentiable function is zero :(
@J.M. there is another definition of local fractional derivative by Gao-Yang-Kang. As I've seen it doesn't hold for it. So we have an ordinary rule of differentiation of function $x^{\beta}$, for example. But I can't find it's definition in papers :(
robjohn
robjohn
@J.M. we ask that they confer, but they are busy, and since it often takes time to contact a moderator, it gets done without conference.
J. M.
J. M.
15:39
@Nimza OTOH, do you really need all the additional fuss? It seems all this is really useful only if you're dealing with "rough" functions...
...otherwise, you could fall back on RL or Caputo or Weyl.
Nimza
Nimza
@J.M. in my case I need it because I work with functions, depending of $(x^{\alpha}+\ldots)^{\frac{1}{\alpha}}$. They are so called constant elasticity of substition-like functions in economics
J. M.
J. M.
...and these have a lot of discontinuities?
Nimza
Nimza
@J.M. they're smooth! Here is another problem: for $x^{\alpha n}$ RL derivative gives a nice differentiation rule! But if we try to compute $(x+a)^{\alpha n}$ RL derivative it will give us a monster because of nonlocality:( monster depends on $a$ on nonmultiplicative manner
J. M.
J. M.
@Nimza Ah yes; that little inconvenience is touched upon in Spanier/Oldham. So, the "local" versions do not have this inconvenience; is that what you're saying?
Nimza
Nimza
@J.M. aha :) And I don't know still any convinient definition of local fractional derivative. I hope it is GYK derivative, but I don't know it's definition
J. M.
J. M.
15:48
It would seem that obtaining one convenience would come at the cost of another. "No free lunch", you know...
Nimza
Nimza
@J.M. aha, but I have a reason to think so. I've speaked with Yang Xiao Jun (Chinese specialist on local fractional derivatives), he sent me a file on this theme. I can send you it by mail if you want. He uses GYK derivative but without definition. And it satisfies all my conditions!
J. M.
J. M.
He seems to have a lot of things posted in arXiv...
(You've seen this I presume?)
Nimza
Nimza
@J.M. aha
@J.M. he briefly defines GYK derivative as $\lim\limits_{x \to x_0}\frac{\Delta^{\alpha}(f(x)-f(x_0))}{(x-x_0)^{\alpha}}$, here the problem is with $\Delta^{\alpha}$
J. M.
J. M.
@Nimza Yes, the use of $\Delta$ is nothing like the uses I am used to...
Nimza
Nimza
16:03
@J.M. so if you're interested, I can resend you his document. It it a review of GYK properties plus computation of GYK derivative of $E_{\alpha}((x+a)^{\alpha})$ (~ Mittag-Leffler function). $E_{\alpha}(x^{\alpha})$ is a fixed point for RL derivative. So he shows that $E_{\alpha}((x+a)^{\alpha})$ is a fixed point for GYK
J. M.
J. M.
@Nimza (i.e., the shifted Mittag-Leffler is an eigenfunction of the GYK operator ;) )
Nimza
Nimza
@J.M. aha! And a set of it's fixed points contains fixed points of RL!
J. M.
J. M.
(You could upload the doc somewhere, of course.)
Charlie
Charlie
@Jdoe Hi!
jdoe
jdoe
hello!
Nimza
Nimza
16:10
@J.M. ok?
Charlie
Charlie
@jdoe wassup?
J. M.
J. M.
@Nimza Got it, thanks.
I have to go, tho. See y'all later.
Nimza
Nimza
Bye!
Charlie
Charlie
bye bye!
jdoe
jdoe
just got home
Charlie
Charlie
16:16
hmm
jdoe
jdoe
whats up
Charlie
Charlie
@jdoe ... so so... a little bit slow...
jdoe
jdoe
I got a new number theory book to try
Charlie
Charlie
good!
jdoe
jdoe
:)
Charlie
Charlie
16:31
Welcome @only_gad !
jdoe
jdoe
Oh yeah and I did p-adic topology!
this is pretty weird
we have open balls $B_a(r) = \{x||x-a|<r\}$
and closed balls $B^+_a(r) = \{x||x-a|\le r\}$
but if you define the circle $C_a(r) = \{x||x-a|=r\}$
then it turns out every point in the circle is contained in an open ball (let $c \in C_a(r)$ then for all $x \in B_a(r)$ we have $|x-c| \le \max(|x-a|,|a-c|) = r$)
that's not right :/
Let $x \in C_a(r)$ then if $d \in B_x(r)$ then $|d-a| = \max(|d-x|,|x-a|) = r$ :/
oh that's perfect that proves d (any point in the open ball) lies on the circle
user1097772
user1097772
16:48
hello does anybody understand to logical square? http://en.wikipedia.org/w/index.php?title=File:Square_of_opposition,_set_diagrams.svg&page=1
I'll be probably some stupid easy rule
I need to just say for example: SaP is true
so SeP is a)true b) false c)we can't say
same for SiP and SoP
jdoe
jdoe
$$B^+_a(r) = \bigcup_{c \le r} C_a(c) $$
user1097772
user1097772
I tryed to read some articles about it but theres a lot of trash abou filosophy and Aristoteles and similar shits but from picture it seems its just some operations with the sets
3
jdoe
jdoe
so every closed ball is open (as a union of open sets)
and the open ball is closed too, so the space is totally disconnected
mick
mick
hi guys ... and charlie
@Charlie hi
@Nimza hi
@jdoe hi
Nimza
Nimza
@mick helllo!
jdoe
jdoe
16:56
@mick, see my proof that p-adic topology is totally disconnected
mick
mick
lol nimza , you tagged my hi to jdoe instead :)
@jdoe did you post it on main ?
@Nimza
@Charlie guess what ..
jdoe
jdoe
I just said it before you got here
Charlie
Charlie
@mick Hello, mick!
@mick what?
mick
mick
good for you :) @jdoe
@Charlie
I posted a new question :)
jdoe
jdoe
did you find it
mick
mick
16:59
i hope its not too vague considered , and i doubt about the title ...
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