منابع مشابه
The Bender - Wu analysis and the Voros theory
In our earlier paper ([AKT1]), by interpreting the formal transformation to the Airy equation near a simple turning point as the symbol of a microdifferential operator, we derived the Voros connection formula or, equivalently, the discontinuity function of a Borel transformed WKB solution at its movable singularities. In this paper we extend this approach to the two turning points problem; by c...
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Any opinions expressed in this memoir are those of the author(s) and do not necessarily reflect the views of the National Academy of Sciences.
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Traditional INSERTION SORT runs in O(n) time because each insertion takes O(n) time. When people run INSERTION SORT in the physical world, they leave gaps between items to accelerate insertions. Gaps help in computers as well. This paper shows that GAPPED INSERTION SORT has insertion times of O(logn) with high probability, yielding a total running time of O(n logn) with high probability.
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This paper is a slightly revised version of an introduction into singularity theory corresponding to a series of lectures given at the ``Advanced School and Conference on homological and geometrical methods in representation theory'' at the International Centre for Theoretical Physics (ICTP), Miramare - Trieste, Italy, 11-29 January 2010. We show how to associate to a triple of posit...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2016
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.4972290