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In computational complexity theory, the unique games conjecture (often referred to as UGC) is a conjecture made by Subhash Khot in 2002. [1] [2] [3] The conjecture postulates that the problem of determining the approximate value of a certain type of game, known as a unique game, has NP-hard computational complexity.
[12] [16] (According to modern usage, Poincaré's question is a tautology, asking if it is possible for a manifold to be simply connected without being simply connected.) However, as can be inferred from context, [ 18 ] Poincaré was asking whether the triviality of the fundamental group uniquely characterizes the sphere.
306 is an even composite number with three prime factors. [1] 306 is the sum of consecutive primes 71+73+79+83. 306 is the 17th oblong number meaning that it is equal to 17*18. [2] [3] 306 is an untouchable number meaning that it is unable to be equal to the sum of proper factors in any number. [4] [5] There are 306 triangular numbers with 5 ...
Image credits: toby_wan_kenoby Bored Panda got in touch with the netizen who posed the question online and they were kind enough to answer some of our questions. Naturally, we were curious to hear ...
Extraneous solutions are not too difficult to deal with because they just require checking all solutions for validity. However, more insidious are missing solutions, which can occur when performing operations on expressions that are invalid for certain values of those expressions.
[12] [19] As the historian Richard Billows writes, "the battle was in effect a race to see which of the two dynasts could first defeat the enemy's right wing and turn to attack the enemy's center", with the "added question of whether or not Menelaus would succeed in breaking out of Salamis in time to intervene". [20]
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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.