International Olympiad in Informatics live scoreboard:

https://ranking.cmsioi2023.hu/day1/

#IOI #Olympiad

μπράβο Αρμενάκια μου
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Ruzanna_A 🇦🇲 #StopArtsakhBlockade: Հայ աշակերտները 5 մեդալ են նվաճել Մաթեմատիկայի 64-րդ միջազգային օլիմպիադայում
https://www.tert.am/am/news/2023/07/13/japan-64th-international-mathematics-olympiad/3969393?fbclid=IwAR2T0WZpUtGRUSX2TuIDPgBK_NNcejrNB8j2Ejg63zC9vTKl-vKLN1zE90k #Mathematics #olympiad #Japan #Armenia #Armenians 🏅🏅🏅🏅🏅 https://t.co/ggR5MjcDlQ
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🐦🔗: https://n.respublicae.eu/THEOCHAROUSE/status/1679450732922019841

Work smarter, not harder
https://youtu.be/CZsH46Ek2ao
#Fosbury #Olympiad

Another day, another BMO problem. It is so satisfying that I managed to generalize the problem. It might be possible to go even further and solve for every integer.

Problem:
\(S_{n}=\{1,2,\dots,n-1,n\}\).
\(\text{i})\) For which values of \(n\) is it possible to express \(S_{n}\) as the union of TWO non-empty disjoint subsets so that the elements in the two subsets have equal sums?
\(\text{ii})\) TWO -> THREE

#Mathematics #ProblemSolving #LaTeX #Olympiad #BMO

Today I tackled another BMO problem. If I have enough time I might later add a longer paper covering my entire thought process.

Problem:
Prove that the sequence defined by
\[y_{0}=1, y_{n+1}=\frac{1}{2}(3y_{n}+\sqrt{5y_{n}^{2}-4}), (n\geq{0})\]
consists only of integers.

#Mathematics #Proof #Solution #LaTeX #Olympiad #BMO

Congratulations to all and great to see again 🇷🇴 #Romanians are there, too!! 👏 (📷 by Yonko Chuklev) #Olympics #Olympiad

The #Astronomy #Olympiad #ExposureCamp is currently taking place at HBCSE from Nov 21-24, 2022. Around 50 teachers & educators selected from across the nation are participating in this camp.

The #Astronomy #Olympiad #ExposureCamp is currently taking place at HBCSE from Nov 21-24, 2022. Around 50 teachers & educators selected from across the nation are participating in this camp.

Brazilian #Math #Olympiad:

* http://www.obmep.org.br/
open olympiad. students from 54 thousand schools, located in 99.78% of Brazilian municipalities. The first phase test was taken by more than 18.1 million students.

* https://www.obm.org.br
national competition restricted to students awarded in other national or regional Olympiads

* https://www.tm2.org.br/
a competition for brazilian girls

other brazilian math competition:

* https://www.obm.org.br/competicoes/regionais/

The Brazilian Public School Mathematics Olympiad, now extended to private schools, collects many inspiring stories. Probably the most effective action to improve learning in mathematics in recent decades. Unfortunately, due to government decisions, its original characteristics were altered. http://www.obmep.org.br/ #math #olympiad

How to Study for a Tough Olympiad #howto #diy #Olympiad