how do you \@ someone with spaces in his name ?

removing them ?

use only the first element ?

@pilko Either one of those works, but if you're not sure about it, just hit the reply button next to someone's message.

@ZachHauk There are few better feelings, in my opinion. The gratification is unlike much else in life.

ok, thx

@DHMO umm nope, I think that conversation have finished?

Anyone has an example of a complemented subspace without basis of a space with a basis?

what ?

huh?

Hi @Alessandro

Hi @Balarka

At this point I'm not sure whether you're still awake or already awake :P

heh. already awake.

I successfully rebooted

that provided no clarification on the question =P

ah, misread.

On the other I'm still awake when I shouldn't be, so I guess I'll remedy. Good night/day everyone

@Secret but you haven't proved!

G'night

good night @AlessandroCodenotti

@user17629 what is a subspace without basis?

i don't suppose anyone's around over here that's into nuclear physics and knows about the Bragg-Kleeman rule? hbar's quiet right now.

hi @heather

Hi everyone

@quasi a(ba)a^(p-1)=(ab)a^p

@ZachHauk, hello

Hi @akiva

I'm going to apply to mathcamp.

what is mathcamp ? a summer training in math ?

yeah

@ZachHauk Do! It's great! I went last year and two years ago

that sounds awesome!

I'm not going this year but I'll probably go next year.

i don't think i'll get in though

oh, is this a more famous math camp?

I haven't looked at this year's qualifying quiz

you'll be fine

only about 200 students go iirc?

@heather It's literally called "Mathcamp"

@ZachHauk Either that or 120

mathcamp.org

@Akiva some of the questions aren't that hard

Balarka's friend Soham went last year

@AkivaWeinberger " Each summer, we enroll approximately 65 new students and 50 returning alumni. "

oh, i thought it was 200

@ZachHauk Remember, they're not necessarily looking for correct answers, they're looking at what line of reasoning you used to get there

induction is pretty common in these types of problems

but if you know the answers, you don't need to go to the camp then ?

but induction is also boring

yeah

always think combinatorially than inductively

much more enlightening

@pilko It's not really training you to do anything. They're just teaching you lots of beautiful math

I mean, there is training there

@DHMO A banach space

but it's not the entire camp

@Akiva maybe we'll meet if you go next year?

I assume they'd always prefer clever counting reasons over inductive proofs.

Like, Misha (one of the mentors) always teaches contest math, I think.

that would be cool.

@Akiva I'm too old for that, now I try to forget things

@ZachHauk Yeah, maybe!

@user17629 I thought every space has a basis under AoC

@BalarkaSen i suppose a clever solution is better than a monotone one

@ZachHauk Where are you from, again?

Northern New Jersey

like, a 5 minute drive into NY

("Monotonous"?)

Right.

@Akiva i've been playing rhythm games since 7

leave my english alone /s

...What's a rhythm game

Wikipedia: Rhythm game or rhythm action is a genre of music-themed action video game that challenges a player's sense of rhythm

@DHMO en.wikipedia.org/wiki/Schauder_basis#cite_note-17

that camp looks awesome

i could never make it in though.

@heather hmm, I heard about the international physics olympiad

how do you get into that?

because you might be qualified for that...

@ZachHauk, that's a thing?

yep

i've never heard of it.

::googling::

right next to the IMO

international math olympiad?

yep

ipho.org

@BalarkaSen one of my answers is pretty clever, even if that's really vague

uh...@ZachHauk, it's in Indonesia

I'm in the U.S.

So?

my parents aren't paying for a halfway around the world flight.

@DHMO researchgate.net/profile/Stanislaw_Szarek/publication/…

it's extremely prestigious

like the IMO

being on the IPhO team will probably be great when you apply to college.

for example, this year's IMO is in brazil

remember, the competition is worldwide

@ZachHauk Good. Then you have no reason whatsoever to fret about a future Zach's mathcamp application getting rejected.

@BalarkaSen but it's only one of them!

Keep working

@user17629 I guess I'll have to shut up on this as I have no idea

hmm... I wonder if any other kids in math.SE have gone to mathcamp

@ZachHauk, yeah...but I'm definitely not good enough. i'm absolute junk at physics.

Soham is from MSE

besides, i mean, Indonesia!?

oh. maybe I'll see him this year? or is he past the age limit now

thanks for telling me about it though @ZachHauk - I'll remember it exists.

dunno if he's going. i think he'll graduate high school the next month

alright. Anyways, like Ted says, "Stop getting distracted"

also, @Akiva do you know if I can ask Ted for a recommendation? the website says i have to know the person personally

I actually don't know...

What about your math teacher at school?

I wonder if these IMO are in multiple languages, because at this age you are not supposed to know to redact a math composition in english (I mean for non native speakers).

i might ask mine from last year

the one i have this year doesn't really know me well, and hates me

@pilko for some, math is universal language

besides that cliche bullshit however, probably.

They don't know you well but hate you anyway?

how can a math teacher hate a middle schooler who's into algebraic geometry?

@AkivaWeinberger i don't pay attention and talk a lot

Got it.

ah.

what class are you in?

@Zach I know, but there are many terms which are different. I'm french and often I struggle with vocabulary on SE.

@heather easy. talk to 0celo7

and when i bring up stuff like the residue theorem she just looks at me like i'm crazy and tells me to just stick to trig

@BalarkaSen, about the nuclear physics thing?

he's not around currently.

@ZachHauk Whenever you write a paper in math, by the way, don't be afraid to use words. Despite all the "math is a universal language" stuff, don't forget that you're writing in English.

i'm in honors geometry right now

(Or whatever language.)

about hating algebraic geometer middle schoolers

in his case, riemannian geometer

@BalarkaSen, oh. his teacher hated him?

no reason to believe they didn't!

@Akiva do you think i sound like an asshole if i use exclamation points in my proofs

@ZachHauk A bit of advice: don't waste class time talking about things that your classmates likely don't know. If you really want to share it with a teacher, wait until after class.

no, I do do that.

Oh, never mind then

I have her at the end of the day though, so she just brushes me aside and says she wants to go home

@ZachHauk Probably not? Depends on how exciting the proof is?

oh,

balarka sen shouldn't you like... go to sleep

I did show the class Vieta's formulas one day

@ZachHauk well, if there's factorials...

or is it dawn for you already

@mercio already did man.

the "Do Now" (if you guys know what that is) of the day was an SAT question that involved the sum of the roots of a quadratic

dang

it's 8 in the morning

and so i walked in and said the answer

and she was all like "wut"

Hehe

Sounds like the Gauss story kinda

kek I wish i was fucking gauss

not as in, penetrating him, but, using that as an intensifier

@ZachHauk Me too, me too

if we're going for crazy awesome, i'd have to take feynman

Go sit in the back of the class and read this calc textbook

that escalated quickly

as in, THE richard feynman?

...No, his cousin

Good evening!

cedric villani is kind of a badass too

So, uh, letter of recommendation from last year's math teacher, is what you were saying?

villani came in a nearby uni a few weeks ago. i didn't attend his talk tho

@Akiva yep.

one day i was in class, messing with multivariable calc

nothing too complicated

i think it was something with a paraboloid

and then, i don't remember, but somehow the discriminant came up

$b^2-4ac$

Huh.

and so i showed it to her

after class

However, my math in 6th grade was completely non-existent. my 6th grade math teacher was a bitch

Hello'z all

she had favorites and of course i wasn't one of them cuz who the fuck has me as a favorite, and so anything i did she'd criticize me for

(You're in 8 now, yeah?)

yeah

and you are in 11th, affirmative?

Yeah

Affirmed

well i'm glad you're not in like 9th, because then i'd feel even more stupid.

Oh, it was to do with the critical points of a paraboloid

something like $ax^2+by^2+cxy$

You've been self-deprecating a lot...

and partial differentiation gave $2ax + c = 0$ and $2by + c = 0$? i don't know

@akiva sorry lol.

Don't apologize

@ZachHauk Yeah

well somehow the discriminant came up?

OH wait!

i think it was the determinant of the hessian

let's see

That's correct.

mhm

Determinant of Hessian of $ax^2 + bxy + cy^2$ is $b^2 - 4ac$.

By the way, about having Ted write your letter of recommendation, the website says, "The letter should comment on your creativity, initiative, and ability to work with others, as well as on your academic achievements." It's easy to see your creativity through the chat, but I'm thinking the other two are easier for someone you know personally to write about

Remind me what the Hessian is, again?