منابع مشابه
Movable Separability of Sets
An exact hidden sphere algorithm that operates in linear time " , Comput
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We describe an O(n) time algorithm for computing the exact probability that two probabilistic point sets are linearly separable in dimension d ≥ 2, and prove its hardness via reduction from the k-SUM problem. We also show that d-dimensional separability is computationally equivalent to a (d+ 1)-dimensional convex hull membership problem.
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It is shown that in the model obtained by adding any number of random reals to a model of CH, there is a compact Hausdorff space of weight ω1 which contains no non-trivial converging sequences. It is shown that for certain spaces with no converging sequences, the addition of random reals will not add any converging sequences.
متن کاملSeparability of a Random Graph and Applications
‘Separator’ based divide and conquer algorithms have been used to solve many computational problems successfully ([10],[13], etc.) These algorithms perform very well when the ‘separator size’ is small. An interesting question is: ‘How well do these algorithms function on arbitrary instances of the problem (for which we may have no knowledge about the separability of the underlying graphs)?’ Thi...
متن کاملA Skorohod representation theorem without separability
Let (S, d) be a metric space, G a σ-field on S and (μn : n ≥ 0) a sequence of probabilities on G. Suppose G countably generated, the map (x, y) 7→ d(x, y) measurable with respect to G ⊗ G, and μn perfect for n > 0. Say that (μn) has a Skorohod representation if, on some probability space, there are random variables Xn such that Xn ∼ μn for all n ≥ 0 and d(Xn, X0) P −→ 0. It is shown that (μn) h...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 1986
ISSN: 0091-1798
DOI: 10.1214/aop/1176992459