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The Clay Mathematics Institute officially designated the title Millennium Problem for the seven unsolved mathematical problems, the Birch and Swinnerton-Dyer conjecture, Hodge conjecture, Navier–Stokes existence and smoothness, P versus NP problem, Riemann hypothesis, Yang–Mills existence and mass gap, and the Poincaré conjecture at the ...
BMO2 also lasts 3½ hours, but consists of only four questions, each worth 10 marks. Like the BMO1 paper, it is not designed merely to test knowledge of advanced mathematics but rather to test the candidate's ability to apply the mathematical knowledge to solve unusual problems and is an entry point to training and selection for the ...
The Schweitzer contest is uniquely high-level among mathematics competitions. The problems, written by prominent Hungarian mathematicians, are challenging and require in-depth knowledge of the fields represented. The competition is open-book and competitors are allowed ten days to come up with solutions.
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
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.
HMMT is a semiannual (biannual) high school mathematics competition that started in 1998. [1] [2] The Autumn (November) tournament is held annually at Harvard University in Cambridge, Massachusetts, and the Spring (February) tournament is held annually at MIT, also in Cambridge.
Using scientific notation, a number is decomposed into the product of a number between 1 and 10, called the significand, and 10 raised to some integer power, called the exponent. The significand consists of the significant digits of the number, and is written as a leading digit 1–9 followed by a decimal point and a sequence of digits 0–9.
The APMO contest consists of one four-hour paper consisting of five questions of varying difficulty and each having a maximum score of 7 points. Contestants should not have formally enrolled at a university (or equivalent post-secondary institution) and they must be younger than 20 years of age on 1 July of the year of the contest.