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In any solution, one of A, B, or C must be paired with D and the other two with each other (for example AD and BC), yet for anyone who is partnered with D, another member will have rated them highest, and D's partner will in turn prefer this other member over D. In this example, AC is a more favorable pairing than AD, but the necessary ...
For n = 365, if k = 28, the expected number of pairs of individuals with the same birthday is 28 × 27 / 2 × 365 ≈ 1.0356. Therefore, we can expect at least one matching pair with at least 28 people. In the 2014 FIFA World Cup, each of the 32 squads had 23 players. An analysis of the official squad lists suggested that 16 squads had ...
The closest pair of points problem or closest pair problem is a problem of computational geometry: given points in metric space, find a pair of points with the smallest distance between them. The closest pair problem for points in the Euclidean plane [ 1 ] was among the first geometric problems that were treated at the origins of the systematic ...
More generally, a pairing function on a set is a function that maps each pair of elements from into an element of , such that any two pairs of elements of are associated with different elements of , [5] [a] or a bijection from to .
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Although all amicable pairs up to 10,000 are even pairs, the proportion of odd amicable pairs increases steadily towards higher numbers, and presumably there are more of them than of the even amicable pairs (A360054 in OEIS). Gaussian integer amicable pairs exist, [14] [15] e.g. s(8008+3960i) = 4232-8280i and s(4232-8280i) = 8008+3960i. [16]
The Summary. Obesity dipped slightly in U.S. adults last year for the first time in more than a decade, a study found. The researchers suggested that might be due, in part, to the rise of weight ...
Every pair of congruence relations for an unknown integer x, of the form x ≡ k (mod a) and x ≡ m (mod b), has a solution (Chinese remainder theorem); in fact the solutions are described by a single congruence relation modulo ab. The least common multiple of a and b is equal to their product ab, i.e. lcm(a, b) = ab. [4]
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