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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 ...
The Trachtenberg Speed System of Basic Mathematics by Jakow Trachtenberg, A. Cutler (Translator), R. McShane (Translator), was published by Doubleday and Company, Inc. Garden City, New York in 1960. [1] The book contains specific algebraic explanations for each of the above operations. Most of the information in this article is from the ...
The Moron Test exploits the human tendency to rely on heuristics when making decisions. "In psychology, heuristics are simple, efficient rules, hard-coded by evolutionary processes or learned, which have been proposed to explain how people make decisions, come to judgments, and solve problems, typically when facing complex problems or incomplete information.
In September 2019, news broke regarding progress on this 82-year-old question, thanks to prolific mathematician Terence Tao. And while the story of Tao’s breakthrough is promising, the problem ...
The content ranges from extremely difficult algebra and pre-calculus problems to problems in branches of mathematics not conventionally covered in secondary or high school and often not at university level either, such as projective and complex geometry, functional equations, combinatorics, and well-grounded number theory, of which extensive knowledge of theorems is required.
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However, with closer examination and persistence by the solver, the question reveals its hidden mathematical clues, especially when the solver lists down all the possible outcomes. This puzzle illustrates the importance of close inspection while approaching a problem in number theory, while enforcing mathematical thinking and rigor, which is a ...
Canadian Open Mathematics Challenge — Canada's premier national mathematics competition open to any student with an interest in and grasp of high school math and organised by Canadian Mathematical Society; Canadian Mathematical Olympiad — competition whose top performers represent Canada at the International Mathematical Olympiad