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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 ...
Equation x√y = y√x. The equation produces a graph where the line and curve intersect at . The curve also terminates at (0, 1) and (1, 0), instead of continuing on to infinity. The curved section can be written explicitly as. This equation describes the isocline curve where power functions have slope 1, analogous to the geometric property of ...
Hilbert's tenth problem is the tenth on the list of mathematical problems that the German mathematician David Hilbert posed in 1900. It is the challenge to provide a general algorithm that, for any given Diophantine equation (a polynomial equation with integer coefficients and a finite number of unknowns), can decide whether the equation has a solution with all unknowns taking integer values.
Bjorn Mikhail Poonen (born July 27, 1968, in Boston, Massachusetts) is a mathematician, four-time Putnam Competition winner, and a Distinguished Professor in Science in the Department of Mathematics at the Massachusetts Institute of Technology. [1] His research is primarily in arithmetic geometry, but he has occasionally published in other ...
Donald Joseph (D. J.) Newman (July 27, 1930 – March 28, 2007) was an American mathematician. He gave simple proofs of the prime number theorem and the Hardy–Ramanujan partition formula. He excelled on multiple occasions at the annual Putnam competition while studying at City College of New York and New York University, and later received ...
The logo of the International Mathematical Olympiad. The International Mathematical Olympiad (IMO) is a mathematical olympiad for pre-university students, and is the oldest of the International Science Olympiads. It is “the most prestigious” mathematical competition in the world. The first IMO was held in Romania in 1959. It has since been ...
According to Putnam, Quine's version of the argument was an argument for the existence of abstract mathematical objects, while Putnam's own argument was simply for a realist interpretation of mathematics, which he believed could be provided by a "mathematics as modal logic" interpretation that need not imply the existence of abstract objects.
Free Algebras in Von Neumann–Bernays–Gödel Set Theory and Positive Elementary Inductions in Reasonable Structures (1978) Doctoral advisor. Alexander S. Kechris. Arthur Leonard Rubin (born 1956) [1] is an American mathematician and aerospace engineer. He was named a Putnam Fellow on four consecutive occasions from 1970 to 1973.
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