منابع مشابه
Ptolemaic Indexing
This paper discusses a new family of bounds for use in similarity search, related to those used in metric indexing, but based on Ptolemy’s inequality, rather than the metric axioms. Ptolemy’s inequality holds for the well-known Euclidean distance, but is also shown here to hold for quadratic form metrics in general. In addition, the square root of any metric is Ptolemaic, which means that the p...
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15 صفحه اولwavelets, modulation spaces and pseudidifferential operators
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Probe Ptolemaic Graphs
Given a class of graphs, G, a graph G is a probe graph of G if its vertices can be partitioned into two sets, P (the probes) and N (the nonprobes), where N is an independent set, such that G can be embedded into a graph of G by adding edges between certain nonprobes. In this paper we study the probe graphs of ptolemaic graphs when the partition of vertices is unknown. We present some characteri...
متن کاملBayesian Ptolemaic Psychology
Ptolemy’s device, the epicycle on deferent, allowed him to account very accurately for motions with respect to the fixed stars of the sun, the moon, and the five observable planets. Indeed, thanks to Harold Bohr, we now know, as Ptolemy did not, that any periodic motions can be approximated arbitrarily well by iterations of epicycles. So far as the data concern only semi-periodic motions with r...
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 2009
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089509004984