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Two linearly independent asymptotic solutions are constructed for the second-order linear difference equation yn+1(x)− (Anx+ Bn)yn(x) + yn−1(x) = 0, where An and Bn have power series expansions of the form An ∼ ∞ ∑ s=0 αs ns , Bn ∼ ∞ ∑ s=0 βs ns with α0 = 0. Our results hold uniformly for x in an infinite interval containing the transition point x+ given by… (More)

- Douglas John Latornell, Dale B. Cherchas, R. Wong
- I. J. Robotics Res.
- 1998

There has been increasing interest in the machine learning community in automatic task design. In a collaborative problem-solving setting, how can we best break up and assign tasks so as to optimize output? Huang et al., for example, considered the problem of effectively assigning image-labeling tasks to Amazon Mechanical Turkers [1]. In the realm of… (More)

- Lauren E. Cornell, Whitney A. Greene, +36 authors Victor Convertino
- Journal of Translational Medicine
- 2017

© The Author(s) 2017. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the… (More)

- Chunhua Ou, R. Wong
- Asymptotic Analysis
- 2014

dψ (x) = (k + α)k−1e−k k! at x = xk = ±(k + α)−1/2, k = 0, 1, 2, . . . . In this paper,we derive an asymptotic expansion for f (α) n (t/ √ ν) as n → ∞, valid uniformly for bounded real t , where ν = n + 2α − 1/2 and α is a positive parameter. The validity for bounded t can be extended to unbounded t by using a sequence of rational functions introduced by… (More)

- Peter Bernus, Rodney W. Topor, R. Wong
- Australasian Database Conference
- 1995

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