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Problems 1, 2, 5, 6, [g] 9, 11, 12, 15, 21, and 22 have solutions that have partial acceptance, but there exists some controversy as to whether they resolve the problems. That leaves 8 (the Riemann hypothesis), 13 and 16 [h] unresolved, and 4 and 23 as too vague to ever be described as solved. The withdrawn 24 would also be in this class.
Federalist No. 10 is an essay written by James Madison as the tenth of The Federalist Papers, a series of essays initiated by Alexander Hamilton arguing for the ratification of the United States Constitution. It was first published in The Daily Advertiser (New York) on November 22, 1787, under the name "Publius".
In computational complexity theory, Karp's 21 NP-complete problems are a set of computational problems which are NP-complete.In his 1972 paper, "Reducibility Among Combinatorial Problems", [1] Richard Karp used Stephen Cook's 1971 theorem that the boolean satisfiability problem is NP-complete [2] (also called the Cook-Levin theorem) to show that there is a polynomial time many-one reduction ...
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 ...
Fermi problem. In physics or engineering education, a Fermi problem (or Fermi quiz, Fermi question, Fermi estimate ), also known as a order-of-magnitude problem (or order-of-magnitude estimate, order estimation ), is an estimation problem designed to teach dimensional analysis or approximation of extreme scientific calculations.
Definition. Given a simply connected and open subset D of and two functions I and J which are continuous on D, an implicit first-order ordinary differential equation of the form. is called an exact differential equation if there exists a continuously differentiable function F, called the potential function, [ 1][ 2] so that.
A collective action problem or social dilemma is a situation in which all individuals would be better off cooperating but fail to do so because of conflicting interests between individuals that discourage joint action. [ 1][ 2][ 3] The collective action problem has been addressed in political philosophy for centuries, but was most clearly ...
The Boy or Girl paradox surrounds a set of questions in probability theory, which are also known as The Two Child Problem, [ 1] Mr. Smith's Children[ 2] and the Mrs. Smith Problem. The initial formulation of the question dates back to at least 1959, when Martin Gardner featured it in his October 1959 "Mathematical Games column" in Scientific ...