Abstract Elementary number theoretic properties of cyclotomic polynomials are a topic that has become very popular among olympiad mathematics and the discussions about and around several interesting olympiad problems. The purpose of this note is to give an introductory lesson about this issue and the structure behind it and to present some examples of how this knowledge can be used at olympiad ...

Although this lecture does not contain many offical Olympiad problems, the arguments which are used are all common elements of Olympiad problem solving. Some of these perhaps could have made nice Olympiad problems, if not for the fact that they were already well-known due to their importance in higher mathematics. Most of this is sourced from the excellent combinatorics course developed by Benn...

The mathematical problems and their solutions of the Third International Students’ Olympiad in Cryptography NSUCRYPTO’2016 are presented. We consider mathematical problems related to the construction of algebraic immune vectorial Boolean functions and big Fermat numbers, problems about secrete sharing schemes and pseudorandom binary sequences, biometric cryptosystems and the blockchain technolo...

We present OLE, a dissemination activity of the EU Abu-MaTran project which aims to establish a linguistic Olympiad in Spain. We introduce the Linguistic Olympiads, our rationale and objectives for setting up OLE as well as our implementation plan. We foresee our work to be useful for other countries looking to start a Linguistic Olympiad.

It is the purpose of this document to familiarize the reader with a wide range of theorems and techniques that can be used to solve inequalities of the variety typically appearing on mathematical olympiads or other elementary proof contests. The Standard Dozen is an exhibition of twelve famous inequalities which can be cited and applied without proof in a solution. It is expected that most prob...

The article describes a new type of Olympiad in informatics, its goals and objectives, as well ways to achieve these goals. Examples author's tasks are given both test the knowledge school informatics information technologies, logical algorithmic thinking participants Olympiad. Special attention is paid principles selecting types technologies for correspondence intramural rounds Olympiad, const...

The American Chemical Society’s US National Chemistry Olympiad program has selected the 20 high school students that will attend 2023 Study Camp. camp take place from June 4 to 17 at University of Maryland, College Park. have already completed local and national chemistry olympiad exams. At camp, they be competing for a on four-member team representing 55th International Olympiad, held July 16–...

The goal of this document is to provide a easier introduction to olympiad inequalities than the standard exposition Olympiad Inequalities, by Thomas Mildorf. I was motivated to write it by feeling guilty for getting free 7’s on problems by simply regurgitating a few tricks I happened to know, while other students were unable to solve the problem. Warning: These are notes, not a full handout. Lo...

OlympiAD was a phase 3 randomized controlled trial of a PARP inhibitor olaparib for metastatic HER2 negative breast cancer patients harboring a BRCA mutation. Although the OlympiAD trial met its primary endpoint, there are concerns regarding whether olaparib truly improves meaningful outcomes for these patients. In this editorial, I examine these issues in detail. An exploration of these issues...