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The William Lowell Putnam Mathematical Competition, often abbreviated to Putnam Competition, is an annual mathematics competition for undergraduate college students enrolled at institutions of higher learning in the United States and Canada (regardless of the students' nationalities). It awards a scholarship and cash prizes ranging from $250 to ...
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.
Nordic Mathematical Contest (NMC) — the five Nordic countries. North East Asian Mathematics Competition (NEAMC) — North-East Asia. Pan African Mathematics Olympiads (PAMO) South East Asian Mathematics Competition (SEAMC) — South-East Asia. William Lowell Putnam Mathematical Competition — United States and Canada.
American Mathematics Competitions is also the name of the organization, based in Washington, D.C., responsible for creating, distributing and coordinating the American Mathematics Competitions contests, which include the American Mathematics Contest, AIME, and USA (J)MO. The American Mathematics Competitions organization also conducts outreach ...
Fact–value distinction. The fact–value distinction is a fundamental epistemological distinction described between: [1] Statements of fact ( positive or descriptive statements ), based upon reason and physical observation, and which are examined via the empirical method. Statements of value ( normative or prescriptive statements ), which ...
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22 7 is a widely used Diophantine approximation of π. It is a convergent in the simple continued fraction expansion of π. It is greater than π, as can be readily seen in the decimal expansions of these values: The approximation has been known since antiquity. Archimedes wrote the first known proof that 22 7 is an overestimate in the 3rd ...
I think the question is what we consider significant. If memory serves, Noam Elkies was the youngest tenured professor in Harvard history. Bjorn Poonen and Ravi Vakil (who are profs and help teach the Bay Area Math Circle) worked with Kiran Kedlaya to put out the most recent book of Putnam problems.