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k a March Highlights and 2025 AoPS Online Class Information
jlacosta   0
Mar 2, 2025
March is the month for State MATHCOUNTS competitions! Kudos to everyone who participated in their local chapter competitions and best of luck to all going to State! Join us on March 11th for a Math Jam devoted to our favorite Chapter competition problems! Are you interested in training for MATHCOUNTS? Be sure to check out our AMC 8/MATHCOUNTS Basics and Advanced courses.

Are you ready to level up with Olympiad training? Registration is open with early bird pricing available for our WOOT programs: MathWOOT (Levels 1 and 2), CodeWOOT, PhysicsWOOT, and ChemWOOT. What is WOOT? WOOT stands for Worldwide Online Olympiad Training and is a 7-month high school math Olympiad preparation and testing program that brings together many of the best students from around the world to learn Olympiad problem solving skills. Classes begin in September!

Do you have plans this summer? There are so many options to fit your schedule and goals whether attending a summer camp or taking online classes, it can be a great break from the routine of the school year. Check out our summer courses at AoPS Online, or if you want a math or language arts class that doesn’t have homework, but is an enriching summer experience, our AoPS Virtual Campus summer camps may be just the ticket! We are expanding our locations for our AoPS Academies across the country with 15 locations so far and new campuses opening in Saratoga CA, Johns Creek GA, and the Upper West Side NY. Check out this page for summer camp information.

Be sure to mark your calendars for the following events:
[list][*]March 5th (Wednesday), 4:30pm PT/7:30pm ET, HCSSiM Math Jam 2025. Amber Verser, Assistant Director of the Hampshire College Summer Studies in Mathematics, will host an information session about HCSSiM, a summer program for high school students.
[*]March 6th (Thursday), 4:00pm PT/7:00pm ET, Free Webinar on Math Competitions from elementary through high school. Join us for an enlightening session that demystifies the world of math competitions and helps you make informed decisions about your contest journey.
[*]March 11th (Tuesday), 4:30pm PT/7:30pm ET, 2025 MATHCOUNTS Chapter Discussion MATH JAM. AoPS instructors will discuss some of their favorite problems from the MATHCOUNTS Chapter Competition. All are welcome!
[*]March 13th (Thursday), 4:00pm PT/7:00pm ET, Free Webinar about Summer Camps at the Virtual Campus. Transform your summer into an unforgettable learning adventure! From elementary through high school, we offer dynamic summer camps featuring topics in mathematics, language arts, and competition preparation - all designed to fit your schedule and ignite your passion for learning.[/list]
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0 replies
jlacosta
Mar 2, 2025
0 replies
J
H
Contest collection PDFs don't work when LaTeX is embedded within BBCode
Equinox8   5
N 24 minutes ago by jlacosta
This could very well be reported before, however a quick search did not find anything.

While embedding LaTeX commands within BBCode (like this: [i]text $\dfrac{1}{2}$ text[/i]) typically displays as intended within a forum, trying to render a contest collection using these commands breaks the PDF renderer.
5 replies
Equinox8
Feb 26, 2025
jlacosta
24 minutes ago
J
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k 2023 IMO
ostriches88   4
N 27 minutes ago by jlacosta
As outlined in this (locked) post, the forum/blog creation message is out of date. It has been over a year since that post, and it still has not changed. I don't know if this got lost somewhere in the "passing this along" chain or if it was determined to be irrelevant, but it seems like a relatively simple fix ;)
4 replies
ostriches88
Mar 10, 2025
jlacosta
27 minutes ago
J
H
Pressing 'go down button' always creates a gray box on the last post
Craftybutterfly   13
N 40 minutes ago by Craftybutterfly
Summary of the problem: Pressing go down to last post button always creates a gray box overlapping last post
Page URL: any forum
Steps to reproduce:
1. Go to any topic in a forum
2. The gray box at the bottom overlaps part of the first post
Expected behavior: Should not show a gray box
Frequency: 100% of the time
Operating system(s): Linux HP EliteBook 835 G8 Notebook PC
Browser(s), including version: Chrome 133.0.6943.142 (Official Build) (64-bit) (cohort: Stable)
Additional information: It works on any other device, on my iPhone XR, a MacOS, and my iPad. Took the screenshot a month ago. The gray box still appears
13 replies
Craftybutterfly
Mar 12, 2025
Craftybutterfly
40 minutes ago
J
H
k Somehow I broke the unique contest collection naming...
Equinox8   1
N an hour ago by jlacosta
Somehow I broke the unique contest collection naming scheme; for what it's worth, I also ran into an AJAX timeout error while trying to make this particular post collection for the first time, and pressed "create" twice.

Not sure if there's anything to be done here, but are there potentially unforeseen consequences here?

https://artofproblemsolving.com/community/c4258765_2024_puerto_rico_team_selection_test (this is the one I'm working on; it's also not finished yet)
https://artofproblemsolving.com/community/c4258764_2024_puerto_rico_team_selection_test
1 reply
Equinox8
Mar 12, 2025
jlacosta
an hour ago
J
H
find the convex sets satisfied
nguyenalex   2
N Today at 9:54 AM by ILOVEMYFAMILY
In $\mathbb{R}^2$, let $B = \{(x, y) \mid x \geq 0\}$. Find all convex sets $C$ such that

\[\mathcal{E}(B \cup C) = B \cup C.\]
2 replies
nguyenalex
Today at 8:57 AM
ILOVEMYFAMILY
Today at 9:54 AM
J
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A great result
steven_zhang123   10
N Today at 9:35 AM by teomihai
Show that $\lim_{n \to \infty} \sum_{k=1}^{n} (\sqrt{1+\frac{k}{n^{2} } } -1)=\frac{1}{4} $.
10 replies
steven_zhang123
Oct 31, 2024
teomihai
Today at 9:35 AM
J
H
Weird family of sequences
AndreiVila   9
N Today at 8:40 AM by Fibonacci_math
Source: Romanian District Olympiad 2025 12.3
[list=a]
[*] Let $a<b$ and $f:[a,b]\rightarrow\mathbb{R}$ be a strictly monotonous function such that $\int_a^b f(x) dx=0$. Show that $f(a)\cdot f(b)<0$.
[*] Find all convergent sequences $(a_n)_{n\geq 1}$ for which there exists a scrictly monotonous function $f:\mathbb{R}\rightarrow\mathbb{R}$ such that $$\int_{a_{n-1}}^{a_n} f(x)dx = \int_{a_n}^{a_{n+1}} f(x)dx,\text{ for all }n\geq 2.$$
9 replies
AndreiVila
Mar 8, 2025
Fibonacci_math
Today at 8:40 AM
J
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Monster Integral
Entrepreneur   1
N Today at 7:41 AM by RezerdPrime
$$\color{blue}{\int_{0}^{\pi} \frac{\tan^{-1}\left(\frac{\ln(\sin(x))}{x}\right)dx}{\ln^2\left(x^2 + \ln^2(\sin(x))\right) + 4\arctan^2\left(\frac{\ln(\sin(x))}{x}\right)}= -\frac{\pi \tan^{-1}\left(\frac{2\ln(2)}{\pi}\right)}{\ln^2\left(\frac{\pi^2}{4} + \ln^2(2)\right) + 4\arctan^2\left(\frac{2\ln(2)}{\pi}\right)}.}$$
1 reply
Entrepreneur
Jan 10, 2025
RezerdPrime
Today at 7:41 AM
J
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Integration Bee Kaizo
Calcul8er   41
N Today at 7:18 AM by Figaro
Hey integration fans. I decided to collate some of my favourite and most evil integrals I've written into one big integration bee problem set. I've been entering integration bees since 2017 and I've been really getting hands on with the writing side of things over the last couple of years. I hope you'll enjoy!
41 replies
Calcul8er
Mar 2, 2025
Figaro
Today at 7:18 AM
J
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convex closed set with a nonempty interior
ILOVEMYFAMILY   0
Today at 6:11 AM
a) When $n = 2$, prove that a convex closed set with a nonempty interior that contains exactly one extreme point must contain a ray. (SOLVED)

b) When $n = 2$, find all convex closed sets with a nonempty interior that contain exactly one extreme point.
0 replies
ILOVEMYFAMILY
Today at 6:11 AM
0 replies
J
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Differentiation Marathon!
LawofCosine   178
N Today at 5:26 AM by awzhang10
Hello, everybody!

This is a differentiation marathon. It is just like an ordinary marathon, where you can post problems and provide solutions to the problem posted by the previous user. You can only post differentiation problems (not including integration and differential equations) and please don't make it too hard!

Have fun!

(Sorry about the bad english)
178 replies
LawofCosine
Feb 1, 2025
awzhang10
Today at 5:26 AM
J
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Integrals problems and inequality
tkd23112006   1
N Today at 3:55 AM by removablesingularity
Let f be a continuous function on [0,1] such that f(x) ≥ 0 for all x ∈[0,1] and
$\int_x^1 f(t) dt \geq \frac{1-x^2}{2}$ , ∀x∈[0,1].
Prove that:
$\int_0^1 (f(x))^{2021} dx \geq \int_0^1 x^{2020} f(x) dx$
1 reply
tkd23112006
Feb 16, 2025
removablesingularity
Today at 3:55 AM
J
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Putnam 1972 B2
sqrtX   2
N Today at 1:17 AM by Tip_pay
Source: Putnam
A particle moves in a straight line with monotonically decreasing acceleration. It starts from rest and has velocity $v$ a distance $d$ from the start. What is the maximum time it could have taken to travel the distance $d$?
2 replies
sqrtX
Feb 17, 2022
Tip_pay
Today at 1:17 AM
J
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Putnam 1956 A3
sqrtX   2
N Today at 1:08 AM by Tip_pay
Source: Putnam 1956
A particle falls in a vertical plane from rest under the influence of gravity and a force perpendicular to and proportional to its velocity. Obtain the equations of the trajectory and identify the curve.
2 replies
sqrtX
Jul 1, 2022
Tip_pay
Today at 1:08 AM
J
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J
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k Pi Day!!
SomeonecoolLovesMaths   66
N 2 hours ago by LawofCosine
Happy $\pi$ day everyone!
66 replies
SomeonecoolLovesMaths
Today at 9:15 AM
LawofCosine
2 hours ago
J
Pi Day!!
G H J
Reveal topic tags
happy pi day
L
G H BBookmark kLocked kLocked NReply
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liugra001
113 posts
liugra001
#53 h  5 hours ago
Y by
piiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
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liugra001
113 posts
liugra001
#54 h  5 hours ago
Y by
SlyOwl45 wrote:
$\phantom{https://cdn.artofproblemsolving.com/attachments/6/2/4284d43d02ea9b30819a87eff72ca7f59a46a2.png}$

ha
This post has been edited 1 time. Last edited by liugra001, 5 hours ago
Reason: missed link
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derekwang2048
1189 posts
derekwang2048
#55 h  5 hours ago
Y by
pi, pie, and PIE
happy pi day!
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GallopingUnicorn45
260 posts
GallopingUnicorn45
#56 h  4 hours ago
Y by
RandomeMids wrote:
PI!!!!!!!!!!!!!!!!!!!!!! (All i know is 3.141592653897

lol all I know is 3.1415
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DhruvJha
722 posts
DhruvJha
#57 h  4 hours ago
Y by
3:14 on pi day
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soumil2013
30 posts
soumil2013
#58 h  4 hours ago
Y by
pi day yay
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happymoose666
260 posts
happymoose666
#59 h  3 hours ago
Y by
3.141592653589793238462643383279502884197
1693995820974944
is all I know
This post has been edited 1 time. Last edited by happymoose666, 3 hours ago
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andersonouyang
48 posts
andersonouyang
#60 h  3 hours ago
Y by
3.1415926535 8979323846 2643383279 5028841971 6939937510
5820974944 5923078164 0628620899 8628034825 3421170679
8214808651 3282306647 0938446095 5058223172 5359408128
4811174502 8410270193 8521105559 6446229489 5493038196
4428810975 6659334461 2847564823 3786783165 2712019091
4564856692 3460348610 4543266482 1339360726 0249141273
7245870066 0631558817 4881520920 9628292540 9171536436
7892590360 0113305305 4882046652 1384146951 9415116094
3305727036 5759591953 0921861173 8193261179 3105118548
0744623799 6274956735 1885752724 8912279381 8301194912

9833673362 4406566430 8602139494 6395224737 1907021798
6094370277 0539217176 2931767523 8467481846 7669405132
0005681271 4526356082 7785771342 7577896091 7363717872
1468440901 2249534301 4654958537 1050792279 6892589235
4201995611 2129021960 8640344181 5981362977 4771309960
5187072113 4999999837 2978049951 0597317328 1609631859
5024459455 3469083026 4252230825 3344685035 2619311881
7101000313 7838752886 5875332083 8142061717 7669147303
5982534904 2875546873 1159562863 8823537875 9375195778
1857780532 1712268066 1300192787 6611195909 2164201989

3809525720 1065485863 2788659361 5338182796 8230301952
0353018529 6899577362 2599413891 2497217752 8347913151
5574857242 4541506959 5082953311 6861727855 8890750983
8175463746 4939319255 0604009277 0167113900 9848824012
8583616035 6370766010 4710181942 9555961989 4676783744
9448255379 7747268471 0404753464 6208046684 2590694912
9331367702 8989152104 7521620569 6602405803 8150193511
2533824300 3558764024 7496473263 9141992726 0426992279
6782354781 6360093417 2164121992 4586315030 2861829745
5570674983 8505494588 5869269956 9092721079 7509302955

3211653449 8720275596 0236480665 4991198818 3479775356
6369807426 5425278625 5181841757 4672890977 7727938000
8164706001 6145249192 1732172147 7235014144 1973568548
1613611573 5255213347 5741849468 4385233239 0739414333
4547762416 8625189835 6948556209 9219222184 2725502542
5688767179 0494601653 4668049886 2723279178 6085784383
8279679766 8145410095 3883786360 9506800642 2512520511
7392984896 0841284886 2694560424 1965285022 2106611863
0674427862 2039194945 0471237137 8696095636 4371917287
4677646575 7396241389 0865832645 9958133904 7802759009

9465764078 9512694683 9835259570 9825822620 5224894077
2671947826 8482601476 9909026401 3639443745 5305068203
4962524517 4939965143 1429809190 6592509372 2169646151
5709858387 4105978859 5977297549 8930161753 9284681382
6868386894 2774155991 8559252459 5395943104 9972524680
8459872736 4469584865 3836736222 6260991246 0805124388
4390451244 1365497627 8079771569 1435997700 1296160894
4169486855 5848406353 4220722258 2848864815 8456028506
0168427394 5226746767 8895252138 5225499546 6672782398
6456596116 3548862305 7745649803 5593634568 1743241125

1507606947 9451096596 0940252288 7971089314 5669136867
2287489405 6010150330 8617928680 9208747609 1782493858
9009714909 6759852613 6554978189 3129784821 6829989487
2265880485 7564014270 4775551323 7964145152 3746234364
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AlienGirl05
11010 posts
AlienGirl05
#61 h  3 hours ago • 1 Y
Y by At777
Happy $\pi$ Day!!!!! :)
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mathbeast180
304 posts
mathbeast180
#62 h  3 hours ago
Y by
AlienGirl05 wrote:
Happy $\pi$ Day!!!!! :)
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FiestyTiger82
692 posts
FiestyTiger82
#63 h  2 hours ago
Y by
3.14159265358
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PatTheKing806
972 posts
PatTheKing806
#64 h  2 hours ago
Y by
3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480
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WoodBurnerB
3131 posts
WoodBurnerB
#65 h  2 hours ago
Y by
Happy Pi day!

This post has been edited 1 time. Last edited by WoodBurnerB, 2 hours ago
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DhruvJha
722 posts
DhruvJha
#66 h  2 hours ago
Y by
Happy half Tau day!
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LawofCosine
510 posts
LawofCosine
#67 h  2 hours ago
Y by
I can remember 3.14159265358979323846 lol
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