Weighted Dyck Paths with Special Restrictions on the Levels of Valleys
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DOI: 10.1007/s00373-021-02451-1
Abstract: This paper concentrates on the set $$\mathcal {V}_n$$ V n of weighted Dyck paths of length 2 n with special restrictions on the level of valleys. We first give its explicit formula of the counting… read more here.
Keywords: weight functions; paths special; restrictions levels; dyck paths ... See more keywords
Transfer weight functions for injecting problem information in the multi-objective CMA-ES
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DOI: 10.1007/s12293-016-0202-5
Abstract: The covariance matrix adaptation evolution strategy (CMA-ES) is one of the state-of-the-art evolutionary algorithms for optimization problems with continuous representation. It has been extensively applied to single-objective optimization problems, and different variants of CMA-ES have… read more here.
Keywords: information; multi objective; transfer weight; weight functions ... See more keywords
New Convolutions with Hermite Weight Functions
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DOI: 10.1007/s41980-020-00496-1
Abstract: In this paper, we are working with convolutions on the positive half-line, for Lebesgue integrable functions. Six new convolutions are introduced. Factorization identities for these convolutions are derived, upon the use of Fourier sine and… read more here.
Keywords: new convolutions; convolutions hermite; hermite weight; weight functions ... See more keywords
Discussions on weight functions and stress intensity factors for radial crack(s) emanating from a circular hole in an infinite plate
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DOI: 10.1016/j.engfracmech.2018.02.001
Abstract: Abstract A thorough verification is made for two recently developed weight functions (WFs) by Jin et al. for a single crack and two symmetric radial cracks emanating from a circular hole in an infinite plate.… read more here.
Keywords: infinite plate; hole; wfs; weight functions ... See more keywords
The effect of subsurface crack opening on the stress intensity factor under cyclic thermal loads
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DOI: 10.1016/j.engfracmech.2019.106600
Abstract: Abstract This study considers surface crack behaviour under periodic thermal loads using weight functions and finite element calculations. A surface and subsurface crack opening mode during the load cycle was observed. The subsurface mode where… read more here.
Keywords: crack opening; subsurface crack; thermal loads; weight functions ... See more keywords