#competition-math
1 messages ยท Page 60 of 1
ye the books are great
oh i see
oh wow
i see
oh i found that, igs ill try it
hopefully its not too hard
guess ill use spring break and like half of summer break to lock in for amc10
hmm
rip
yesyes trust
real
lol
?
LOL
Are you doing a math competition?
oui
What type?
What does amo stand for?
american math olympiad
isnt it like a 2 day test or sum
What is it abt?
How much ppl are doing it?
its jus alg geo number theory and combinatorics
What is number theory?
jmo
What does jmo stand for?
junior math olympiad
500 is a lot
Why is junior in the name?
because its 9th and 10th graders
Makes sense
yea
and younger
what?
So even middle schoolers?
What does JMO test you on?
proofs
math
So smart smart?
hard math
yea
i should rly be focusing on my mock 
proofs
Oh alr
Mock exam?
r those the ones on the aops website
i js did rn on the spot
You add the exponents
How do you make up things in Math?
ideas
Makes sense
(a^2-b^2)(a^2+b^2)
(a-b)(a+b)(a^2+b^2) =a^4-b^4
ye
ye
dam
Gg.
fryer
or fryer
grade nine
yea
im practicing it
i can do all 4 besides the last subsection in 4
last one takes too much time
idk
dumbass
galois theory?
its the contest name
โฆ
they're cool
but i don't understand them
:||
I would rather strengthen core concepts
whats ur point here
hmhm
Go waste someone elses time
wut
Reading comprehension
fr
ye u gotta read to do math
Formula:
k(t) = t - (t/5)
k(t) = โ
t
where:
k(t) = number of terms up to t
t = the last term of the sequence
a) 6th multiple of 5 = 6ร5=30
(30-1) - (6-1) = 29 - 5 = 24
b) 2019 - floor(2019/5)
= 2019 - 403
= 1616
c) 200 = โ
t
t = (5/4)ร200 = 250
250/5 = 50
5, 10, 15, ..., 5ร50=250
5 + 10 + 15 + ... + 250
= 5(1 + 2 + 3 + ... + 50)
= 5ร50(50+1)/2
= 125(50+1)
= 6375
250(250+1)/2 - 6375
= 125(250+1) - 6375
= 31375 - 6375
= 25000
hmm
thats wat took 6 years to type
please be respectful
thanks
@fringe prism im gonna attempt usamo problems
they came out an hour ago
i might be cooked
i hope your usajmo went well
fr
wrong
in c ur wrong for sure
Sorry sir
ill show u my solution
oh wait right I know the mistake
i cant send imgs?
haha loophole
@kind pulsar here is my solution, sorry for the bad formatting
is mr birdy part of the solution
You dont need complicated solutions
hmmm
Yeah cuz i did
I literally wrote it
so i am apart of the solution
@kind pulsar just use grade nine math
arent b and c full solution
I just do full solution for all of them
I did do full solution
bash wut
You dont need bashing gng
do j3
almost nobody solved
fryer?
ooh
maybe not p3 on amo but
ok ill take a look
was it?
i talked to some people who took amo and they didnt get the same problem
yws
i think
idk my friend just sent me that and said it was usamo p3
huh
wait what
yup
amo p3 is just buffed jmo p3
yes I have edited my previous answer
oh shit
yes actually
Oh well
the gauss addition thing
arithmetic series summation
thats the only one you really need
right
Are you gonna do the fryer math contest
Have fun
is it like an international math contest?
Its international yes, but you needed to register before mar 5
also you need your teacher to sign up for it
I am not at school anymore
rip
I have finished college
ah i see congratulations
thanks
LLOLLLL
Hi
Wgat does this mean
predicting my score
total is 42
I mena liek wuestions I got
u solved 2 on day 1?
wait whatโs jmo
huh
japan math olympiad?
Usajmo
So tuff
10
like the round before
10
Amc10 then aime then jmo
Good luck
dam
(bombed amc 10 this yearโ๏ธ)
i think thats good
i got cooked by day 1 ๐
o
good is like perfect score
you made it too?
o
Got half of p2 cause i didnt read distinguishable
...
p1 was so simple ๐
And p3 i soent 3 hours no progress
Someone did a 5 page complex bash
Yea
did you make usajmo too
oh
Now we pray for fe
Yea
fr?
...
Yes
Its on aops
hi
Hi
jamo
huh
Let $T_n$ be the Chebyshev polynomial of the first kind; that is, it is the unique polynomial that satisfies [T_n(\cos\theta)=\cos n\theta] for all real numbers $\theta$. Show that [2T_n\left(\frac{x+\frac1x}2\right)=x^n+\frac1{x^n}] for all nonzero complex numbers $x$.
literally anything
GG
๐
im trying it now
what in the
this tangency point is elusive ahh
i mean it makes sense because of the 60 degrees being expressed as arc rotations
but wtf bro
i conjectured ||if YZ intersect BC = X, then AXT collinear|| but my other diagram said no
๐ฅ
tf is this point bro
also shooting lemma looks quite skibidi
What am I looking at
uhh
Umm
true
it doesnt
yes it does
kewll
does anyone want an interesting linear equations math contest problem
hmmm
I think the older versions of fryer are easier
hmm
lol
who mitted and qualed usa(j)mo
,w the game
@soft vigil im cooked
i cannot solve usamo p3
after almost an hour i have almost 0 progress
๐ฅ
๐ญ
i looked for a hint and this was the first line
dude there was a time I staring at an geo problem for 3 hours w/o getting any progress
I hate geo since
try to derive a new solu (in terms of m & n) from the simplest case u can think of
what the rubbish
those who know ||vieta jumping||
we don't talk abt that
scores are alr out?
prolly a mix of both
still mitte
better than what i can do 
i not miter
lies
aops
self pormetion
woah
chebyshev polynomials rah
i wrote 10 000 paragraph on chebyshev polys
i have some old complex analysis stuff
where's graph theory
"W NADAT MY GLORIOUS KING" -some guy
jam my glorious king โค๏ธ
it's a triangle, so grpah theory
bro called category theory graph theory
u should be focusing on comp math
no
anything but doing mocks ๐๐
then do millenium prize problems
67
uh the reyman hipothesis is indepdenece of zfc ๐
67
Halloa friend
hmm
hi friend
How are you friend?
im alr wbu friend
Im good, ty friend
no problem friend
Bye friend, good luck on jmo
bye, thank u friend
by doing math
\
Short for the USAJMO.
mitte
no clue
jamo mfs after citing the most random ass theorems in oly geo
Oh i thouggt it was junior mathematical olympiad from uk
lol
i thought it was japan math olympiad
Which is harder jmo uk or jmo america?
Iโm not even japense LOL
japanese*
Then what are you
prolly usa
im human
anybody know how long it takes for math kangaroo results to come back
Orz. at least its better than using calc on one of the first 10 amc pbs. (I was not locked in)
like 2 or 3 months
or you know like that one. aime p12 which is a bunch of 3d cordbash. I think it was in like the past 5 yrs
ye 2026 aime i
p12
no anothr one ๐ญ
i might do that later
hmmm
hi
halloa friend
Anyone did the kangaroo math competition today?
Wasnt it on thursday only
diff countried ig
I am bored, i have a class but its easy. wbu?
o wat class, js doing chem
maff
mister aaron far fetched?
lol, hru friend?
im alr hbu friend
yeah I did it today...m
soooo harrdddd
same. ty for asking
๐ญ๐ญ
thatโs nice, anytime friend
bye friend
bye future imoer
Nou. Bye orzlord, and future imo perfer
no. Bye future gold medalist
LOLLLL
hi
js SO funny
hi
Hi friend
Hi, hru
good wbu friend
doing good friend, tyfa
thatโs nice, wat dat mean
o thanks for asking
no problem friend
yup. bye friend
What grade?
is it out of 10?
true, it was exponentially harder this year
no, it's the grade level
fr friend
Nobidy did
it was liek alr ig
this server should get a blobheart

wats that
hallo
fr fr

Is anyone able to add emoji?
mo server rah
ask the mods
frfr
Athe tag ๐
hi
(rest of my gifs are too sus)
search up yor forger
Let's please keep the chat on topic
and you get a bunch of non usable gifs
Sorry sir
Noone was talking that much anyways
Stop taking it so seriously
he's a mod
Ok
LOLLLLLLLLLLL
Who wants to do some maths
im done with maths for the day
shiver me timbers
ikr
bruh viol n time
hmm
violin > chem > math
im ranking in order of fun ness
chem is too high
What is $2^{1234567} \mod 7$
kate (โ*๐)
Quick quick quick
isnt it just 2
oh ye
what is mod 7
no idea
it's cool
is rhat format litlle
math is too high
2^3 = 1
or
it's a 3 cycle
n/a
hmmm
What are all integer solutions to $x^2 \equiv 1 \pmod{91}$
kate (โ*๐)
91 isnโt prime btw
Me still thinking 91 is prime to this day
i've been forced to realize 7*13=91
I learnt that the hard way
Thx for checking my homework questions yall

uhhhh
Bruh
๐
Kidding I already submitted it
hmm
My discrete ah class homework
discrete math rah
wgat even is discrete matg
Number theory is more fun
complex or real?
Is ot js nt
frrr
Itโs like
geo > nt
Logic
:||
number theorys hord
graph theory
graph theory is cool
Geometric topology
isnt trees part of graph theory
ooh
is a donut a coffee mug
NT is like being in solitary confinement
yes
so many nt glazers
67 at the top
so many patricks
hi patricia
?
Mrrrrp!
are you a patrick?
Letโs calculate the area of Patrick
folding under 0 pressure
a^2 + b^2 = c^2 :DDD
ironically there's a guy named patrick who is cracked at math at my school
What if not a right triangle
Inequality
then..... then ur gay
ok
Triangle inequality shows up everywhere
Then its not right
is it you
no
bruh rip
wow non-right triangles are not right, who could've guessed
less than 8th
wait
How did mathcounts school go ๐ถ
Thatโsโฆ not legal
fr
genuinely do not know what that aaid
if im the one who thinks, who processes the thoughts?
this is so math
Socrates
if math is your power, what are you without it
Oiler
who really thought, my brain or myself?
rip
both
We become nothing without maths
longest gif
i ve eveebrr seen
btw f+v=e+2
Yep
True
dude thats so wrong its literally e+v=6s
Thats what they all are
??
I never made usamo should I continue learning comp math cha
where s is the semi perimeter
bro is debating himself
why am i getting deja vu
and a, b, and c are the three sides
i mean
U can use jt as a quadrilateral
just like how u can use pascals theorem on a pentagon
pascal line mentioned rah
bruh
this would do numbers now with sites
maybe not
Wdym
bruh same
13 is hella unc
zelix stop being humble

first get into usajmo

first get imo perf
this is not helping for aime at all
then do mont (def not the other way around...)
and all sorts of geo bash
bash is bad
i've actually almost never used barycentric
do not bash
you need to get imo perf
when do u use it?
like when theres lots of cevians?
idk
i dont think so
*jmo
or the bashing is minimal
3D geo is not real geo

when was the last time 3D geo appeared in a big contest
oh wait
usatstst 2025
erm i guess it's not that 3D
Real
Aime II p12 this year iirc
โbig contestโ
not any of that answer only stuff
3d geo problems after reducing to real geo problems
I guess I wasnโt being specific enough
alright thanks guys!!
what
i am NOT unc
ok dinosaur
13 more unc than dinosaur
im uh 1,000,000,000 bc year;s old ๐
im grahams number bc years old
can someone explain oly geo to me ๐
ask evan chen
LOL
when the problem requires an invariant so you lowkey give up
are you orz mitter qualer
What
jamo qualer
jmo?
sure
Ye
hmm
Not even aime?
aime HELLA hard to qual
ye
88.5 < 105
yhis is just
tahs not even bad
i swear it was my first year of amc10b forgive me
Huh
pov: alex tsaagan
Torch?
what
Isnt that his aops
idrk
LOL
hmmm

bread pensiv
me after realizing ts
why wouldnt you
fr
isn't that kinda obvious tho.....
would be pretty fucking dumb to block aops
๐
??? what's wrong with the goatest website in the world
how hard was it
nothing
itd be wrong for schools to block it tho
real lol
yeah that'd be super unfair
frr friend
is it geo i forgor
yes
supposedly 45M mohs
aka hard imo p3
im gonna do p5
me thinking about how i could mitte by solving it (im a geo antimain)

dw i also forgot my anti steiner points
bro i dont even know what that is ๐ญ๐๐ญ๐๐ญ๐๐ญ๐๐ญ๐๐ญ๐๐ญ๐๐ญ๐
My friend compelx bashed
๐
the jmo or amo version
ano p5
ah
jmo p5 wqs easy nt
bro who tf said "what if you dont know complex incenter"

js rederive it
go and derive it then
phew
im too lazy ๐ด
might be a good blog idea actually
does it follow trivially from half-angle formulas?
Which
hi carbon
\textbf{Claim:} Let $\ell_a$ and $\ell_b$ be lines of slope $a$ and $b$, respectively. Then their angle bisectors have slope [\frac{\pm\sqrt{(a^2+1)(b^2+1)}+ab-1}{a+b}.]
literally anything
it pmo how the formula depends
\textit{Outline of Proof:} Draw a triangle with side $|b-a|$ and points $A$, $B$, $C$ and let its height $CH$ be $1$. Use the Angle Bisector Theorem to find the signed length of $HD$, where $D$ is the intersection of the angle bisector of $\angle ACB$ with $AB$, and conclude the slope from there.
literally anything
formally, $A=(1,a)$, $B=(1,b)$, $C=(0,0)$, and $H=(1,0)$
literally anything
fym "formally" gng ๐ซฉโ๏ธ
hello sir
what
bro complex incenter formula
not coordinate incenter formula
idfc gng ๐โ๏ธ

Ok then
Good luck
Incenters in complex plane are only nice on unit circle
otherwise its cooked already
i'll just use evan's derivation atp ๐
bary usamo p5
wtf is linpop
linear power of a point?
circle inversion?
yes
also wdym evans derivation
he has a doc on complex bashing
yes but theres no incenter of a general triangle
๐ฅ
only the unit circle which is obvious
actually bary is lowk easy ngl
why didnt i do this earlier
it follows from affine geo
so do you still stand by your point

no i agree now finding incenter is tiresome โ๏ธ
WHAT.
you can try
Ia quadratic equations as a chapter hard
no, just know the formulas and do practice problems. good luck
if you need help with problems
!help
To ask for mathematics help on this server, please open your own help channel or help thread. See #โhow-to-get-help for instructions.
hi

And should I do basic maths like inequality aand modulus equations before doing sets @severe eagle
\textbf{Theorem:} Let $A$, $B$, $C$ be points in $\mathbb R^2$, and let $a$, $b$, $c$ be the corresponding side lengths. Then the incenter $I$ is the weighted average of the points, with respect to their corresponding side lengths.
Alrr
depends on how good you are
literally anything
wtf this is so easy ๐ญ
I mean they use signs like belongs to and U
?? what
In inequality wcm method
???
where do they use that in quadratics
in sets lah
that sounds like set theory bro
he was talking about sets
please be respectful
U is union, so that's really only... set theory, and intervals
Ok ok I'm not being disrespectful i was just



