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AlphaGeometry is an artificial intelligence (AI) program that can solve hard problems in Euclidean geometry.It was developed by DeepMind, a subsidiary of Google.The program solved 25 geometry problems out of 30 from the International Mathematical Olympiad (IMO) under competition time limits—a performance almost as good as the average human gold medallist.
The International Mathematical Olympiad (IMO) is a mathematical olympiad for pre-university students, and is the oldest of the International Science Olympiads. [1] It is "the most prestigious" mathematical competition in the world. The first IMO was held in Romania in 1959. It has since been held annually, except in 1980.
North Korea is the only country whose entire team has been caught cheating, resulting in its disqualification at the 32nd IMO in 1991 and the 51st IMO in 2010. [6] (However, the 2010 case was controversial. [7] [8]) There have been other disqualifications of contestants due to cheating, but such cases are not officially made public. [9]
The competitions have historically overlapped to an extent, with the medium-hard AMC 10 questions usually being the same as the medium-easy ones on the AMC 12. Problem 18 on the 2022 AMC 10A was the same as problem 18 on the 2022 AMC 12A. [3] Since 2002, two administrations have been scheduled, so as to avoid conflicts with school breaks.
The problems cover a range of advanced material in undergraduate mathematics, including concepts from group theory, set theory, graph theory, lattice theory, and number theory. [ 5 ] Each of the twelve questions is worth 10 points, and the most frequent scores above zero are 10 points for a complete solution, 9 points for a nearly complete ...
The United States of America Mathematical Olympiad (USAMO) is a highly selective high school mathematics competition held annually in the United States. Since its debut in 1972, it has served as the final round of the American Mathematics Competitions. In 2010, it split into the USAMO and the United States of America Junior Mathematical ...
In 1988, the method came to the attention to mathematical olympiad problems in the light of the first olympiad problem to use it in a solution that was proposed for the International Mathematics Olympiad and assumed to be the most difficult problem on the contest: [2] [3] Let a and b be positive integers such that ab + 1 divides a 2 + b 2.
The Gillis Olympiad [10] in the Weizmann Institute of Science. The Grossman Math Olympiad in the Technion – Israel Institute of Technology. The Tournament of the Towns, which consists of 2 rounds: Fall (October) and Spring (February–March). Only the first round is considered for the selection process, except for special cases.