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Goldbach’s Conjecture. One of the greatest unsolved mysteries in math is also very easy to write. Goldbach’s Conjecture is, “Every even number (greater than two) is the sum of two primes ...
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.
The question is whether or not, for all problems for which an algorithm can verify a given solution quickly (that is, in polynomial time), an algorithm can also find that solution quickly. Since the former describes the class of problems termed NP, while the latter describes P, the question is equivalent to asking whether all problems in NP are ...
Hilbert's problems ranged greatly in topic and precision. Some of them, like the 3rd problem, which was the first to be solved, or the 8th problem (the Riemann hypothesis), which still remains unresolved, were presented precisely enough to enable a clear affirmative or negative answer.
Then in binary, the number n can be written as the concatenation of strings w k w k−1... w 1 where each w h is a finite and contiguous extract from the representation of 1 / 3 h . [23] The representation of n therefore holds the repetends of 1 / 3 h , where each repetend is optionally rotated and then replicated up to a finite ...
2008: The answer to one question in a GCSE Music paper was given away by accident in the copyright declaration printed on the back of the question paper. [9] 2011: OCR set an impossible maths question in the 2011 AS Mathematics paper. [10]
The second, Eddie Woo's Magical Maths, is a children's activity book. In September 2022, Woo co-hosted high-school television series Ultimate Classroom , an educational STEM competition sponsored by the Australian Defence Force , [ 12 ] alongside presenter Stephanie Bendixsen .
A documentary, "Hard Problems: The Road To The World's Toughest Math Contest" was made about the United States 2006 IMO team. [101] A BBC documentary titled Beautiful Young Minds aired July 2007 about the IMO. A BBC fictional film titled X+Y released in September 2014 tells the story of an autistic boy who took part in the Olympiad.