« first day (4486 days earlier)      last day (539 days later) » 
01:00 - 20:0020:00 - 00:00

8:01 PM
that is true broadly.
 
Yeah, but I think that there is more space in the food industry for mediocre chefs.
 
everyone needs to eat, but the demand for twin prime proofs lacking
 
@TedShifrin haha. No one stops from being both. :-)
 
@Koro I've been a good amateur at both :)
 
8:13 PM
@copper.hat I was comparing to musicians, but... yeah... that kind of hits home.
:P
 
i don't have the killer instinct
 
There is one chef who says - food of a region reflects culture of the region.
 
that is hardly earth shattering...
 
It has fit my observations so far.
 
Plenty of chefs and other people would say so.
 
8:17 PM
@Koro "Food" is an element of "culture".
 
i find it intriguing how ingredients have traveling the world and things associated with certain regions (think potatoes in ireland) are historical imports
 
@copper.hat Potatoes in Ireland, tomatoes and pasta in Italy.
Potatoes in Russia.
 
@XanderHenderson Oops. I linked the same one twice. There actually is a third.
 
During lockdown, when online food delivery was not available in plenty, I would watch his videos to make food. He also talks about history of the food he's cooking -like why the food got that name, which country it originated in etc. I like that.
copper: I think you know -samosa. I was shocked to know that it did not originate in India.
 
There are dumplings in every culture.
 
8:19 PM
And preparation techniques. There is a phenomenally good cuisine in northern Baja which is, essentially, Mexican ingredients (peppers, corn, etc) prepared using Chinese (mostly Szehuan) techniques.
 
i love baja food
actually youu could generalise that to the entire country :-)
 
@TedShifrin Kind of. Most agrarian societies have some kind of dumpling. Many / most hunter/gatherer societies do not (they don't produce the grain to make dumplings).
 
al pastor arrived from the lebanon
 
@ShaVuklia can't say I've encountered that notion or see its usefulness
 
@copper.hat Not quite. Ceviche is a pretty traditional dish. :D
 
8:21 PM
Lukas might know
 
@XanderHenderson Interesting point.
 
But, yeah, most Mexican food is a fusion of Aztec / Mayan and Spanish.
 
well, lebanese immigrants
 
Hello everyone, I am a beginner in the topology course, and I have one question. I know that we can induce topology from metrics, but is it somehow possible and vice versa? To induce metrics from topology? I guess not always but is it ever and if so when and how?
 
no, you need to look up metrizability
 
8:23 PM
Plus later additions (really good Chinese food in Baja, for example; al pastore; etc).
 
smth: not always. The spaces for which this is possible are called metrizable spaces.
 
i am soo glad the potatoe made it across the atlantic
 
@smth Google "Urysohn" along with keywords pertaining to "metric" or "metrizable".
 
thanks george
 
@copper.hat Sup, Dan Quayle?
 
8:24 PM
Look up: Sierpinski topology on set {a,b} for example @smth.
 
ah yes indeed, mr latin himself
 
@XanderHenderson ROFL
 
@TedShifrin I figured some old fart would get the joke. :P
 
i loved the quayle quarterly
 
haha
 
8:25 PM
that was my george reference
gosh, used to think of quayle as 'out there'. nothing compared to our friends majorie & lauren
i actually liked the quayle persona
 
@copper.hat Oh, Boebert...
My sister has to work with her from time to time. She is not a fan.
 
omg
although, i have to say, in my circle there are people who i like very much but have toxic world viewpoints. you just never know
but the latter two seem to be just against rather than contributing anything
 
Yeah, no...
 
@copper.hat @XanderHenderson @Koro so if topological space is metrizable we could induct metrics from that topology?
 
that would be the definition
 
8:29 PM
My sister runs a non-profit land conservation organization in Colorado. Boebert wants to drill, baby, drill.
 
there can be many metrics for the same topology
boebert had the intellectual depth of a potatoe
:-)
me knew spelling
 
Most of the news out of Arizona is wonderful, however, @Xander. Although all the deniers are denying.
 
@copper.hat e.g. in $\mathbb{R}^2$, the "usual" metric is $d(x,y) = \sqrt{x^2 + y^2}$, but $d_p(x,y) = (|x|^p + |y|^p)^{1/p}$ is also a metric.
@TedShifrin Yeah, I heard that Lake isn't gonna be our governor.
And Mark Kelly kept his seat.
 
So is $\max(|x|,|y|)$, @smth.
 
i think of the usual and the $\arctan$ on the real line, just to keep it simple
for dan, you know
 
8:31 PM
Man, Kelly seems like a genuinely decent human being.
@TedShifrin Indeed.
 
Descended from whom?
 
i was impressed that oz called his opponent to congratulate
 
@TedShifrin His ancestors.
(don't know where the s came from...)
 
@smth if X is a metrizable space, then we can find a metric d that induces the topology on X.
Example (Sierpinski Topology): Let X={a,b}, a is not equal to b. Then $T=\{\emptyset, X, \{a\}\}$ is a topology on X that is not metrizable.
@XanderHenderson or just scalar multiples of d?
 
@Koro Sure, why not?
 
8:37 PM
๐Ÿ˜Š
 
@Koro Sooo boring.
 
Ugh... what am I going to do for dinner tonight? I still have some pizza dough, but little by way of toppings. Frozen corn and anchovies?
 
skip the corn
 
You have mozzarella and parmesan?
 
@TedShifrin Moz, yes; parm, no.
 
8:38 PM
tomatos?
 
I don't usually put parm on pizza.
 
what if you put omelette on top of that?
 
new spelling
omg
 
And tomato sauce, yes.
 
I do a little if I have the appropriate toppings.
Some fresh fennel, cooked, would be good :)
 
8:39 PM
@TedShifrin Yeah, but I don't want to go to the store.
 
No leftover ham or prosciutto, sad.
 
I suppose that I could make, like, some "garlic knots", and eat that with butternut squash soup.
Of which I made quite a bit on Sunday.
And I need to go make some matzoh ball soup for work tomorrow.
 
Well, you do have olive oil :)
 
@TedShifrin Always.
 
I have never made matzo ball soup, my heritage nonwithstanding. Plenty of French and Chinese soups.
I have made latkes, but no matzo balls.
 
8:42 PM
@TedShifrin The college is having a "stew festival" as part of the indigenous people's month.
 
Very cool.
Not that soup is stew.
 
We have all been invited to bring a soup or stew which is culturally relevant.
 
Ah.
Does everyone share with all the students?
 
I figure I can bring matzoh ball soup, which is both good and relevant, and I'll get some mutton stew in return.
 
Nice!
 
8:43 PM
@TedShifrin In principle, any student, faculty, or staff member is invited to bring soup, eat soup, or both.
 
All classes/exams canceled. :)
 
In practice, I have only seen maybe 10 or 15 actual distinct students on campus all semester. Most of them are still remote.
Though I am hoping that more will show up tomorrow.
 
World population has now turned 8 billion.
 
Sad what's become of education cuz Covid.
 
@TedShifrin I agree, but this was, it seems, a growing problem pre-COVID.
COVID only accelerated the "remotification" of our instruction here.
Again, we've been doing remote education since our founding in the 70s.
 
I doubt I would have wanted to be an academic if I'd grown up with that.
 
Indeed. It would have been hard.
 
Oy at tagging this real analysis, calculus, and vector analysis.
@Koro Are you spamming us?
 
$\mathcal{L}$ renders a box in a macbook.
 
probably don't have the fonts right
it works fine on all my Macs
 
8:58 PM
I checked on other device. \mathcal {L} gives an L on other devices though. I noticed it as I lately have been seeing lot of boxes on mse and I wondered why people started using boxed all of a sudden.
 
the box normally happens when there's no font
 
my mac version is ventura 13.0.1
 
@Koro Not on mine.
What browser?
 
opera
 
Same here.
 
8:59 PM
you see box?
 
Nope.
I am using Opera.
But I am still running Catalina.
 
 
9:15 PM
apple stuff is soooo flaky
 
What formula is it?
 
@SergeyZolotarev You have 8 books. You want to choose 6 of them. So the "formula" is 8 choose 6, or $\binom{8}{6}$.
 
Sometimes written $C^8_6$.
 
@TedShifrin Indeed. Or $_8C_6$, I think I've seen.
 
Yes, indeed.
 
9:30 PM
$\binom{8}{6}$ surely?
 
9 mins ago, by Xander Henderson
@SergeyZolotarev You have 8 books. You want to choose 6 of them. So the "formula" is 8 choose 6, or $\binom{8}{6}$.
 
i was just using my mathjax like a good boy
 
Huh?
 
Does that make Dr Leslie the bad boy?
 
or $^8C_6$
 
9:35 PM
Always.
@Koro That doesn't space properly :P
 
i dislike all of these notations except the first
 
choose(8,6)
$1+{^8C_6}$
$1+^8C_6$
You can fix the spacing with a set of braces
 
choose not to choose
 
Determining the value of $^{-1}C_{-1}$ requires the axiom of choice
 
choose choose (8,6)
 
9:44 PM
@AkivaWeinberger with perhaps a smidgeon of negative space
 
leslie is just pure bad
 
to the bone
 
No, to the core. That's deeper.
 
I choo-choo-choose you! <3
 
it bothers me that there is a $\binom{x}{a}$ notation but no equilavent for permutations.
i'm working on my quayle vocab
 
9:48 PM
next step, choose a symbol for him
 
the axiom of choice demands a recount
 
AC is an election denier?
 
Supported by the axiom of denialism.
 
Zorn's lemmings
time for a drink. just had a 3h meeting
 
on zoom?
 
9:54 PM
worse
teams
 
Ouch ๐Ÿ˜”
๐Ÿฅƒ๐Ÿธ
 
Poor baby.
 
@copper.hat Oh, sweet baby jeebus!
Have two drinks!
 
10:29 PM
0
Q: Show that $f(A) = A^2$ is differentiable function mapping $\mathscr{M}_{n\times n}$ to $\mathscr{M}_{n\times n}$

D.C. the IIIQuestion: Show that $f(A) = A^2$ is differentiable function mapping $M_{n\times n}$ to $M_{n\times n}$ In a previous question we showed that for any $A,B \in \mathscr{M}_{n\times n}$ , $D_{B}(A) = AB + BA$ to show the proposed map is differentiable we would show $\lim\limits_{\textbf{h} \to \text...

 
10:58 PM
Do NOT think of $\Bbb R^{n^2}$. Thatโ€™s the whole point of the directional derivative formula.
You just need to show $\|H^2\|/\|H\|\to 0$.
 
I'm seeing that as I go through it right now. So I'm treating the derivative wrong then?
Yeah....ok....just looked at the textbook and what you mentioned. Now it goes away in a "pretty" way
 
Yes. Do not resort to horrendous coordinates.
 
So since you are here, all this arose from me reading over the Lagrangian chapter and specifically the derivative of $f(x) = Ax \cdot x$ being $Df(a)h = Aa \cdot h + Ah \cdot a$. You didn't assign that question so I came back to do it. I'm on this one specifically now.
How do you derive the formula foe $Df(a)h$? is it similar to the idea we used to get the derivative of $f(x) = \|x\|$?
 
This is easier, no matrix variable. Just the way you did everything in early in chap 3. Do $f(a+h)-f(a)$.
 
in the middle of that calculation as we speak. one min
 
11:12 PM
haha
I am coming into a new world.
a chat room
 
A brave new world?
 
@TedShifrin $Aa \cdot h + Ah \cdot a + Ah \cdot h$ is what I get for that
 
Right.
Now estimate the non-linear error term.
$|Ah\cdot h|\le$?
 
@TedShifrin Let me type first so I can feel smart...๐Ÿ˜ญ
 
HI, do you guys think a ipad with a pencil is a good tool to deduce mathmatic problem?
better then pencil and paper
 
11:16 PM
$|Ah\cdot h|\le \|Ah\|\|h\| \leq \|A\|\|h\|^2$
 
@TedShifrin haha, this is my first time to enter chat room
 
Perfect, DC
I have spent a lifetime with pencil and paper. I would want to see several pieces of paper at once.
 
@TedShifrin yes, you can. with ipad, even better.
or some thing like paint computer with bigger screen area.
 
Then do what makes you happy ! I still like reading books as books, even though pdf versions are easily searchable .
2
But Iโ€™m 100 years old.
 
haha
is there anyone want to discuss about nuclear fusion?
 
11:23 PM
I had to contemplate "why" this was the derivative for a second....but it makes sense now. Nuanced.
Now I feel complete and could go back to the Lagrangian chapter and the lectures.......do you go over the proof in lectures?
 
Yes.
 
good....manifolds is hectic.
i guess "are" would be better grammar
 
@DarwinZou It probably would be better to discuss fusion in the Physics chat. chat.stackexchange.com/rooms/71/the-h-bar It's a bit quiet over there right now, but if you post now people will respond later.
 
@PM2Ring ok, thank you, buddy
@D.C.theIII thank you, man
 
@DarwinZou your welcome........................?????
 
11:33 PM
@Thorgott Apparently the notion of an order (subring of a ring of integers) is the relevant one, and the few results on number rings that I need to know are quite similar to those of orders. Luckily my books cover orders
 
yeah, I've encountered those before, though I haven't had much use for them either
 
01:00 - 20:0020:00 - 00:00

« first day (4486 days earlier)      last day (539 days later) »