#competition-math
1 messages · Page 57 of 1
algebraic number theory
wait this is discussed right
wait they discus algebraic nt
wo i didnt know aops was so orz
this is in intermediate cp btw
the writing is so tuff 🥹
hmmm
trust
LOL
where
is your instructor smbelcas
yes
my avatar is the yellow cube
do we have the same counting+probability
youve seen me
wait what
rephrase that
woah
i love counting probability
nvm
👀
i only use aops to spy on problems
i use aops to do math
pov track
sry didnt see your text
mc states is tmr for me
i was running a mock
bro
Hi
Same
#IMO #Geometry #MathOlympiad
In this video we discuss the fifth chapter from EGMO book "Computational Geometry". We study two bashing techniques which are Cartesian Coordinates and Trigonometry. The goal is to transform the geometry of the problem into pure algebraic relations.
00:00 Intro
3:03 Cartesian Coordinates
24:59 Areas
38:17 Trigo...
Instead of memorising it, check this video
hopefully should help reducing everything into the first quadrant of the circle
thanks i’ve seen something like that. ik the first quadrant so i should be alright
omg little fermat in the flesh
orzorzorz
RIP
little fermat you’re soorz
Hello!
I am here to find a study buddy for competitive exam in maths
Yoo
CMI and ISI (indian exams)
hmm
Easy
hi
Hello. Which grade are u?
12th
hi
yall imo 2026 is the 67th imo
guys i think zelix likes saying hi
What method can we solve this easily
$$\sum^{53}{k=47} k^2=\sum^{3}{k=-3} \left(50+k\right)^2$$
Civil Service Pigeon
set x to 50 and do (x-3)^2 + (x-2)^2... to (x+3)^2 when you expand each term, all the middle terms cancel out and u get 7x^2+28 then subsitutue 50 back in
yea
17528
correct
guys whos going to mathcounts nats (us people)
And square them back
i would like to make new friends
not me
i sold and didnt even make cdr
what state
ma 😭
ur not allowed to talk abt it
wait did the mc states happen?
yep
for lots of states
i wanna kms rn
what did you all get
no disscus
did u make it to nationals
now you go and win mc nationals
well then don't silly in nationals
bruhok
RIP
and get first next time
wait do u need like a school backing u to go to mathcounts?
i hate living in cali
38 doesnt qual 😡
do you think i actually go there
i dont have a life
i do math all day
whats that
I honestly hate ma from the bottom of my heart. Sorry to those people but they fricking come out of the middle of nowhere and suddently perf. I have literally practiced for mc since second grade yet i cant even [] ing make cdr 😭
calintiashfuiucgfeven, obviously
what
after making a not good silly
bro qualed with a low score 🥀
yeah ik
fck cali 🥀
i did really bad on target
fck ma 🥀
don't be so rude to yourself
i love ohio
i'm pretty sure you'll have a chance next yr
i suck tho
mathcounts nats is more fun
but it's not hard
maa contests arent fun its just for putting it on your stupid application
yeah it is the freaking time constraints
which is fun
trust
shut up youre so annoying
?
maa contests are better , your location doesn't determine your ranking. (except for the ch###rs)
dont the cutoffs change by region for jmo 😭😭
and amo
but like not for hr, dhr, etc
dhr for amc 8 this yr was just sad
yeah do inperson contests like hmmt
fym "ch||eate||rs" 🥀
or arml
frfr. def not coping trust
b** c*****ed ch***ers
notice how nuna yall congradulated me for making nats instead yall just complained abt your state being stupid, calling my score "low" i dont care if it is its basic manners
i know a lot of people who are coping abt this
not my fault cali people are good
sry, im js mad
im still coping after not qualing state 😭
with 38
your scores are out?
yeah
oh, ma wildcard cutoff was 38
wait how
now i kinda regret never going to that mc competition 
bruh
oh cause youre just gonna cook them all duh
what grade
because ma has a group of orz ppl and then a large group (like me ) of ppl that are norz that qual for states and then go nowhere
in 6th
wut
i was 12 in 6th 💀
hmmm
bro youre literally in 7th grade why lie😭😭😭
age limit for discord is 13
why would i lie
went from 45 chapter to 32 state wtf
im crine this is some wyoming type shi
chapter cutoffs in cali were probably 47
RIP
same 😭
o i forgot wyoming existed
their cutoffs are probablt 20
now i wanna move to wyoming
yeahhh cook everybody
or move to guam
or idaho
or iowa
or nh, 50 miles away and cutoffs that are 10-15 pts lower
Hi
damn
thats like ohio
so move there
my parents would never
comp math
hmmm
No do comp math from Wyoming
If maa does dei
No one from Wyoming has ever qual surely
huh
is this about entering mop or somethn
wut
No one gaf about that lokey in resume cuz no job employer will know that
wait what
what kind of resume do u think i'm talking abt
A normal job application

Which is what u need a resume for
maybe i should've phrased it as "college application letter"
Working at McDonald’s for example McDonald’s managers won’t know what maa is
job
Yea a college application is very different from a resume
Two completely separate things
ye colleges will care
Yea they will
mc donalds will care if you burned an orphanage
but they wont if you qualed imo??
what kind of bs is this
I didn’t say that
u qualed imo?

They just won’t know what imo is
ye
yes and no
with -500 index
I have 500 index this year am I orz
.
fr?
No I’m in university
do math
oh yeah well i have 501 haha i beat you
good is not getting 0
15 is considered good
wow look at that duality
the duality of man
...
everybody laugh!
you didnt get 15 norx
I’m a woman though
congrats on 1340 index tho
does that increase your index by like 500 points or something
does that mean 0 on amcs
how do they do the index thing if u qualify for aime through usamts?
yes
they dont
wait i think they just multiply your usamts index by 2 tho
Maa literally like this atm
racist maa 🤤
thats so tru tho
WE still love racist maa 🤤
:||
well ofc
ok bro
who could've guessed
just get 1600
i love being racist (i'm maa)
WAIT HOLY SHIT 450 POINTS??
cant be that hard
ig
I think this was back in the 2700 days of sat
Or whatever it was before 1600 max
Or 2400
450 still alot
wait what the truck
i thought this was maa 💀
this was the sat
yes im daddys good boy arf arf arf
too far
i dont think u should say this to a 13 yo
i dont think u should be saying any of this anywhere
typical child-child convo these days
man i'm getting old i used "these days"
...
"these days" unc haha 👴
uncs
ye ur like 5
ye ur like 67
yeah get out
respect ur elders child
ru in 8th or 7th
7th
i did this completely satrically
sure...
we got a baby on the server
what could possibly be the context
watchmojo video
that's where that truckahh thumbnail came from
(i have to remain daddy's good boy)

do NOT backread at all costs
DEF fried
WTAF dude r u ok???
he's fine
u sure?
@daring sparrow are u fine?
myabe
maybe is no
who aisiss aOOai
perfectly fine
hi
hi
Hi friend
hmm
hmm
Hi
Hi guys
hallo
wsg
no, he definitely likes airplanes more.
Good job
thanks
make your password c
yahhh
canu tell me both
tell me ur password
sure
did i read this right
no
o
sends 10 dollars via mousepay
tuff
i will use telephone
you are 8th grade
hi
LOL
huh
you dont like reading
same
huh
rina's a girl???
you have a dog probably
hmm
ik so smart right
wait
all the middle schooler hang out in #competition-math
all the adults and undergrads hang out in #discussion
and once in a while someone says something controversial and gets banned🥺
fr tho
hmmm
and help channels sometimes
i try to fit it there but its politics and other shi so like ...
b-but no politics 🥺
now i will telepath you
I LOVE POLITICS❤️❤️❤️
so
you are patrick
your last name is lily
you go to grandeview heights middle school
nooo
ok
wrong patrick bro
ik where u got that from
thats not good
i got it from @thorny tusk s bio
its a junior high bro
canada
he had a disclaimer too
oh no
you never told me which school so i assumed
im sowwy
plus the grades matched n all 🥺
k
cant u figure out im canadian and hes american
thought u stalked him
isnt that what friends do
wait ru guys even friends
whatever
im in the same school as my patrick 😭
OK BRO
ig
I DIDNT KNOW
hmmm
its in my bio
my bio is best
...
I DO NOT LIKE PEOPLE WHO ARE SMARTER THAN ME
ig u hate everyone then
fick you
not nice youngling
yo anyone got MathKangaroo Practice questions or some shi
apologize
anyone?
i guess
because usually they rub it in my face
that's what usually happens?
hmmm
bc theyre always younger than me
hmmm
oh ok i see
did u know @thorny tusk is like 2 years old
i am
yeah i knew alr
bruh
i am?
yo what's cmo
at least now i know @thorny tusk is 37 and he goes to grandview heights middle school in edmonton
ima use that for my next reading
hes joking
whos joking
patoi
ya
nkmo is tuffer
wut that
north korea
math olympiad
hmmm
then they cheated
did u know there was one good chess player from north korea
the only team to ever cheat
fr?
yeah
wait they have a team..?
what did u expect?
i believe there was one guy that managed to escape nk from the imo
i might be wrong tho
dawg what is happening in here. im getting flashed by the big Kim 🥀
o dam
we love big kim guys
u doing usa or canada math kangaroo
the big yahoo
@mystic raven
what's a math kangaroo
what do you want gabriella
mmm
the canadian's name is gabriella?
fuck you
woah not nice
ikr
i love how gabriel is a super asian name but gabriellas the complete opposite
realgabriel wehbh
'gabriel' is asian?
that's his name
:||
im so sorry bor cuthecing uour name
:||
does anybody here play the piano
hmmm
all asians play piano
so do you?
same
can anyone play chopins etude op 35 no 12
school band?
la la la
i need a live demonstration
at least 5
very detailed for a math problem
at least 4
3
if it rains pencils tmr
uh actually -102
mhm
k i got my answer
its 2634.3139201
roumded to the nearest 89th place
wait
so like
how do you round to a place that isnt a power of 10
@inland totem help
1434
wow
i didn't read the question
ok
ok
do something harder
ok
im sowwy
ok
like imo
oka
solve imo 3025 problem 8
actuallt nah thats too easy
@inland totem solve chess. youre on the white side.
wutt
its so easy just use linear abstract arbitrary armadillo arithmetic
where did armadillo come from
idker
thats so tuff
nah
its in armadille
see what i did there
armaville
woww 😭
hmm
is anyone doing apmo
apmo?
how do u get in?
asian pacific math olympiad
for canada its like top 30 in comc or somethn
did u get into mop
did u get into mop?
same here
ofc not
and u a youngling
aghaghgahgha
thx
ik yk
mopporz
hmmm
we all are ig
hey im not a nerd
wdym
idk
LOL
does anybody know some efficient ways to study for a math olympiad?
Do problems
That will make you think diffrentky and introduce new key ideas
alr i locked in
makes sense
got a 30/30 on that online test thingy
which
do imo problems 😭
ohh i have one too
one wednesday
i play games all class im kinda cooked
u want some good games
do millenium prize problems and wire transfer the money to me
WAIT I NEED TO SEE IF THIS WORKS
bettt
HELLO CHAT PLEASE REVIVE THIS CHANNEL ITS ALREADY BEEN 20 MINUTES
<@&268886789983436800> no self promo
thank rays
also i feel like this is enough for a ban
fr
anyone trying to give answers to an official test should be banned
also there is no way thats acurate
<@&268886789983436800> is giving out (aledged) answers to olypiad exams not ban worthy?
the observant among us will note that that message was in response to a deleted message
i just found orzen chen's orz server orz 💀
evan chen's server?
i might join that tmrw
LOL
did anyone take apmo this year?
no
nooo comp math is dead 
what
putnam idk
don't quote me on that
Im doing maclaurin olympiad soon, and was looking over past papers. None of the maths is beyond my understanding but I was wondering if anyone had advice on the systems of thinking that lead to solutions, as a lot of it seems to be pulling really random knowledge that somehow perfectly combines to make the answer
that's kinda what a lot of the harder questions on math comps are these days
there's not much advice i can give besides doing a bunch of problems - patterns in solutions tend to pop up then
Yeah thats fair
Its just like, you get a parallelogram and suddenly you are splitting it into triangles, using the sine rule to get a scale factor ratio between sides, using that to prove triangles are similar and getting an area ratio, then expressing that as an area of the original parallelogram, and it perfectly converts into the ratio of CX:XD on one random side
And I just wondered if there was method behind the madness
Like some sort of process to work through that lets you find this path
anyone here taken the euclid
well there are like general methods that you would take when you find yourself with a specific type of geo, num theory, etc problem
like for your question, i would likely go searching for ways to apply the sine rule or similar triangles (since it's a parallelogram)
wait what question was that
ask
which problem
wasnt that quite straightforward
there was an easier way to spot that the two triangles were congruent
but u could angle chase
thats what i did bc im weird
hmmmmmm
NEEDOH
is it?
i got the congruence but didnt get much further
in terms of similar angles
hmm
did u?
yes but unnoficially unfortunatelly
well im not from the country i competed and there were not enogh participants
so they let me for the love of the game
in dm
sure
because everyone active is studying like
the advanced stuff
except those aren't even active 💀
it's either that or discussy
i'd say only ~1% of people on this server are actually doing postgrad math
u can check in info i think
they're the most active
skull
epic fail
i swear saying [redacted] gets your message deleted
ur messeages keep getting deleted
try saying [redacted]
idk maybe stop
why is it banned
ur prolly gonna get muted or sum
idk
i mean they prolly won't ban it unless someone did something rly bad
did my message get deleted???
hm
wtf
oh heck no
idk
huh
what
where'd u find that?
on google?
no
i alr did
oooo
huh??? can sm1 dumbify it pls??? sryyy
dam they have auto delete
hmm
https://icmathscomp.org/files/2019-2020/2019-2020_Round_One_Solutions.pdf
This is ICMC 2019. I noticed that apart from the given complex number the following will also work:
(iRt(3)+1)^2020 + (iRt(3)-1)^2020
This is a complex number with same magnitude as the one given in the solution but a different angle.
My question is a generalization of the process. Are these two the only solutions in terms of complex numbers? How do we know we have found all?
dude ur complex number is a factor of (-i)^2020 = 1 off from the solutions
its the same number basically
@hard sierra
,w -2^2019
Yes, I get that the real value is the same.
What I am asking is are these the only two solutions in terms of complex numbers?
I don't think the numerical value of the answer is very useful in this context.
uhh cuz the numbers eventually will all cancel out to a real number so it must be r(e^iθ + e^-iθ) and the r is always fixed and we can add any multiple of pi/2 to θ which gives all the solutions which are all the same
i hope im right
Two things:
- I gave two solutions that are "different". Angle of pi/6 and pi/3. How do we know that there are (or aren't) any more "different" solutions.
- Can you explain why adding pi/2 to theta does not change the solution? For example adding 2pi does not change because it is the same angle. But why pi/2?
hi friend
wait no i thought pi/2 was 180 mb. just pi
note pi/2 - pi/3 = pi/6 and vice versa
then sin(pi/2-θ)=cosθ and viice versa
so its js a multiple of -i in the end
which to the power of 2020 is 1
hello!
@hard sierra so basically when u keep the same magnitude in r(e^iθ + e^-iθ) there are lots of angles that make it the same due to trig transformations, the problem's solution js comes from binomial theorem
So my question is exactly on the angles that make it the same. Which are those.
I understood the base problem and its solution.
,w pi
quote by Albert Einstein: Pure mathematics is, in its way, the poetry of logical ideas :3
beautiful quote
and so true
yeahh <33 🥹
ts is fire
guys do Z[x] is ring with unity or without unity?
I think had you captilized the A in Albert and the E in Einstein, that would've given the quote far more GRAVITAS
what? had a stroke reading it but okay
hallo
pls no physics in here.
we, the pure mathematicians, do not abuse calculus notations.
XD
hi zelix
hi patrick li
hi ppl
hi friend
hi youngling
hi unc
ur both uncs
be nice to your elders
coming from patrick???? WOWWWWW LEGENDARYYYY ONCE IN A CENTURYYYY, jk jk jk lol jk
sry
hmmm
cubres orz
says YOU
1
i can solve a rubiks cube in 10 hours
sybau
are u proud of me 🥺
bro im talking about orz cubres
same same
@cloud surge


someone post some math
Ok source athemath 2025 entrance exam p4
hmmm
whath apend
huh
idk think of it as a directed graph
im younger than u prolly
prove it
no?
huh
hey so what was all of your aime scores
😭
wait is it 1499
Idek. I lowk forgot the answer
Athemath😍
So great
Girl power 💪
I’ll def try it later
Gotta get back into comp again
o ya did anyone do egmo
||||||||5|| ||||||
fr
NOW
hallo fellow aime qual
cap
:||
bro how
idk, ur the one doing it
Nice!
Chem?
It’s easy to qual national if ur not from a area that has a lot of ppl
Source; me
I did not know how to do a lab tho
bruh palo alto = fried
prolly, fine, js gotta get like 52
RIP
hm
that good
dam
unc
Unless it’s Putnam
I didn’t do putnam
Cuz I can’t
I don’t even know what Australia does
prolly some rubbish


