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The definition of these spaces is based on a regularity property for the critical Sobolev spaces Ws,p(Rn), where sp= n, obtained by J. Bourgain, H. Brezis, New estimates for the Laplacian, the div curl, and related Hodge systems, C. R. Math.
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The molecular clock concept is based on an assumed regularity in the accumulation of tiny changes in the genetic codes of humans and other organisms.
The phylogeny obtained in our experiment is very close to the commonly accepted ones, which suggests that even a method of compression based on a single type of regularity, as opposed to those that take into account palindromes and other structures may support good comparative genomics.
Our CUB statistic uses the concept of entropy, which estimates data regularities based on a combination of order and proportion.
The suggested test is based on a Rao-type score statistic and regularity conditions are given under which the test has a limiting chi-square distribution under the null hypothesis.
Three different approaches are now available if one wants to study these stability issues: a first one using symmetrization, another one via mass transportation and a third one based on the regularity theory for minimal surfaces and other PDEs.
Our contribution is based on an observation of the regularity in the relationship between adjacent scores in the scoring matrix (Section 2.1) and the design of an efficient series of bit operations to exploit that regularity (Section 3).
"Based on a T.R.U.
Specifically, we design and develop an efficient and scalable regular pattern mining technique that can mine the complete set of periodically/regularly occurring patterns in BSN data stream based on a user-specified periodicity/regularity threshold for the data and the subject.
The refinement is based on an estimate of the local Sobolev regularity index of the underlying solution by monitoring the decay rate of its Legendre expansion coefficients.
In this paper, based on the regularity property, a Baldwinian learning operator is incorporated into the framework of MOEA/D (multi-objective evolutionary algorithm based on decomposition) and thereby we propose MOEA/D/BL.
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