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A well-defined local continuum damage model with softening via convexification and entropic regularization

Lauff C, Schlichting A, Böhlke T, Schneider M.   +3 more
europepmc   +1 more source

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On rough convergence of ρ-Cauchy sequence of triple sequences

Analysis (Germany), 2019
In this paper we define and study rough convergence of triple sequences and the set of rough limit points of a triple sequence. We also investigate the relations between the set of cluster points and the set of rough limit points of Cauchy sequences of ...
Ayhan Esi, Ayten Esi
exaly   +4 more sources

Bessel statistical convergence: New concepts and applications in sequence theory [PDF]

PLoS One
This research introduces novel concepts in sequence theory, including Bessel convergence, Bessel boundedness, Bessel statistical convergence, and Bessel statistical Cauchy sequences.
Ibrahim S. Ibrahim, Majeed A. Yousif, P. Mohammed, Dumitru Băleanu, A. Zeeshan, M. Abdelwahed   +5 more
semanticscholar   +2 more sources

The Cauchy Problem for the Logarithmic Schrödinger Equation Revisited

Annales de l'Institute Henri Poincare. Physique theorique, 2023
We revisit the Cauchy problem for the logarithmic Schrödinger equation and construct strong solutions in H1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage ...
Masayuki Hayashi, Tohru Ozawa
semanticscholar   +1 more source

Generalized Cauchy Degradation Model With Long-Range Dependence and Maximum Lyapunov Exponent for Remaining Useful Life

IEEE Transactions on Instrumentation and Measurement, 2021
A new long-range-dependent (LRD) degradation model is described based on the generalized Cauchy (GC) process. The GC process is a two-parameter model, which describes local irregularities and global correlation characteristics of the data time sequence ...
He Liu, Wanqing Song, Yujin Zhang, A. Kudreyko   +3 more
semanticscholar   +1 more source

Efficient video sequence matching using the Cauchy function and the modified Hausdorff distance

IS&T/SPIE Electronic Imaging, 2001
Rae-Hong Park
exaly   +2 more sources

A generalized cauchy method for remaining useful life prediction of wind turbine gearboxes

, 2021
The accurate estimate of the Remaining Useful Life (RUL) of mechanical tools is a fundamental problem in Engineering. This prediction often implies the knowledge and application of sophisticated mathematical methods based on fractal and Long-Range ...
He Liu, Wanqing Song, Yuhui Niu, E. Zio, E. Zio   +4 more
semanticscholar   +1 more source

Quasi-Cauchy Sequences

The American Mathematical Monthly, 2010
(2010). Quasi-Cauchy Sequences. The American Mathematical Monthly: Vol. 117, No. 4, pp. 328-333.
David Burton, John Coleman
openaire   +1 more source

Cofinal completion vis-á-vis Cauchy continuity and total boundedness

, 2021
A function f from a metric space ( X , d ) to another metric space ( Y , ρ ) is said to be Cauchy-continuous if for every Cauchy sequence ( x n ) in ( X , d ) , ( f ( x n ) ) is Cauchy in ( Y , ρ ) .
L. Gupta, S. Kundu
semanticscholar   +1 more source

The Lp Cauchy sequence for one-dimensional BSDEs with linear growth generators

, 2011
In this paper, the existence of Lp(p>1) solutions for one-dimensional backward stochastic differential equations will be shown directly by proving that an approximation sequence is a Cauchy one in the Lp sense.
Yuki Izumi
semanticscholar   +1 more source