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Table representation of search results timeline featuring number of search results per year.

Year Number of Results
1923 1
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1948 4
1949 1
1952 1
1953 2
1954 2
1955 5
1956 1
1957 3
1959 1
1960 1
1962 2
1963 1
1964 2
1965 5
1967 2
1968 5
1969 7
1970 7
1972 2
1973 4
1974 8
1975 12
1976 8
1977 8
1978 7
1979 11
1980 17
1981 12
1982 22
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1984 23
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1986 20
1987 23
1988 28
1989 25
1990 25
1991 28
1992 26
1993 31
1994 46
1995 37
1996 37
1997 38
1998 35
1999 28
2000 54
2001 44
2002 45
2003 68
2004 82
2005 95
2006 108
2007 105
2008 122
2009 112
2010 143
2011 120
2012 178
2013 155
2014 151
2015 143
2016 162
2017 159
2018 162
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3,810 results

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Page 1
Fetal cardiotocography monitoring using Legendre neural networks.
Alsayyari A. Alsayyari A. Biomed Tech (Berl). 2019 Dec 18;64(6):669-675. doi: 10.1515/bmt-2018-0074. Biomed Tech (Berl). 2019. PMID: 31199757
A new technique for electronic fetal monitoring (EFM) using an efficient structure of neural networks based on the Legendre series is presented in this paper. Such a structure is achieved by training a Legendre series-based neural network (LNN) to classify the diffe …
A new technique for electronic fetal monitoring (EFM) using an efficient structure of neural networks based on the Legendre series is …
Legendre-Fenchel transforms capture layering transitions in porous media.
Galteland O, Bering E, Kristiansen K, Bedeaux D, Kjelstrup S. Galteland O, et al. Nanoscale Adv. 2022 May 11;4(12):2660-2670. doi: 10.1039/d1na00846c. eCollection 2022 Jun 14. Nanoscale Adv. 2022. PMID: 36132285 Free PMC article.
The Helmholtz energy is a non-convex function of the slit height if the number of particles does not exceed that of one monolayer. As a consequence, the Legendre transform cannot be applied to obtain the Gibbs energy. The Gibbs energy of a non-deformable slit pore can be t …
The Helmholtz energy is a non-convex function of the slit height if the number of particles does not exceed that of one monolayer. As a cons …
Legendre-spectral Dyson equation solver with super-exponential convergence.
Dong X, Zgid D, Gull E, Strand HUR. Dong X, et al. J Chem Phys. 2020 Apr 7;152(13):134107. doi: 10.1063/5.0003145. J Chem Phys. 2020. PMID: 32268748
By formulating the algorithm in Legendre coefficient space, our method inherits the known faster-than-exponential convergence of the Green's function's Legendre series expansion. In this basis, the fast recursive method for Legendre polynomial convolution ena …
By formulating the algorithm in Legendre coefficient space, our method inherits the known faster-than-exponential convergence of the …
Information Geometry of kappa-Exponential Families: Dually-Flat, Hessian and Legendre Structures.
Scarfone AM, Matsuzoe H, Wada T. Scarfone AM, et al. Entropy (Basel). 2018 Jun 5;20(6):436. doi: 10.3390/e20060436. Entropy (Basel). 2018. PMID: 33265526 Free PMC article. Review.
These flat geometries admit dual potentials corresponding to the thermodynamic Massieu and entropy functions that induce a Legendre structure of kappa -thermodynamics in the picture of the information geometry....
These flat geometries admit dual potentials corresponding to the thermodynamic Massieu and entropy functions that induce a Legendre s …
In Reply.
Verhaeghe C, Corroenne R, Spiers A, Descamps P, Gascoin G, Bouet PE, Parot-Schinkel E, Legendre G. Verhaeghe C, et al. Obstet Gynecol. 2021 Oct 1;138(4):681-682. doi: 10.1097/AOG.0000000000004556. Obstet Gynecol. 2021. PMID: 34623085 No abstract available.
Legendre Polynomial Fitting-Based Permutation Entropy Offers New Insights into the Influence of Fatigue on Surface Electromyography (sEMG) Signal Complexity.
Jabloun M, Buttelli O, Ravier P. Jabloun M, et al. Entropy (Basel). 2024 Sep 30;26(10):831. doi: 10.3390/e26100831. Entropy (Basel). 2024. PMID: 39451907 Free PMC article.
In a recently published work, we introduced local Legendre polynomial fitting-based permutation entropy (LPPE) as a new complexity measure for quantifying disorder or randomness in time series. ...
In a recently published work, we introduced local Legendre polynomial fitting-based permutation entropy (LPPE) as a new complexity me …
Legendre Polynomials: A Fully Automatic Method for Noise Reduction in (99m)Tc-Mercaptoacetyltriglycine Renogram Analysis.
Destine M, Seret A. Destine M, et al. J Nucl Med Technol. 2020 Dec;48(4):346-353. doi: 10.2967/jnmt.120.244574. Epub 2020 Jul 24. J Nucl Med Technol. 2020. PMID: 32709669 Free article.
Results: The root mean squared error between reference time-activity curves and the same curves with Poisson noise added was about 2 times lower for the Legendre method than for F121. The left relative function for MC and patient data was statistically equivalent for Herme …
Results: The root mean squared error between reference time-activity curves and the same curves with Poisson noise added was about 2 times l …
Varroa Destructor Classification Using Legendre-Fourier Moments with Different Color Spaces.
Noriega-Escamilla A, Camacho-Bello CJ, Ortega-Mendoza RM, Arroyo-Núñez JH, Gutiérrez-Lazcano L. Noriega-Escamilla A, et al. J Imaging. 2023 Jul 14;9(7):144. doi: 10.3390/jimaging9070144. J Imaging. 2023. PMID: 37504821 Free PMC article.
This study presents an innovative method for identifying Varroa destructors in honey bees using multichannel Legendre-Fourier moments. The descriptors derived from this approach possess distinctive characteristics, such as rotation and scale invariance, and noise resistanc …
This study presents an innovative method for identifying Varroa destructors in honey bees using multichannel Legendre-Fourier moments …
Gauss-Legendre-spherical-t (GLST) cubature-based factorization of long-range electrostatics in simulations.
Hwang W, Gonzales JE 2nd, Brooks BR. Hwang W, et al. J Chem Phys. 2025 Jun 14;162(22):224102. doi: 10.1063/5.0264936. J Chem Phys. 2025. PMID: 40488376
We develop a highly parallelizable algorithm to calculate long-range electrostatic interactions named the Gauss-Legendre-Spherical-t (GLST) cubature method. Motivated by our recent spherical grid and treecode method, we utilize the Gauss-Legendre quadrature for inte …
We develop a highly parallelizable algorithm to calculate long-range electrostatic interactions named the Gauss-Legendre-Spherical-t …
Adaptive back-stepping cancer control using Legendre polynomials.
Khorashadizadeh S, Akbarzadeh Kalat A. Khorashadizadeh S, et al. IET Syst Biol. 2020 Feb;14(1):8-15. doi: 10.1049/iet-syb.2019.0038. IET Syst Biol. 2020. PMID: 31931476 Free PMC article.
Here, based on the back-stepping design procedure and function approximation property of Legendre polynomials, a novel controller for MIMO cancer immunotherapy is presented. In fact, Legendre polynomials play the role of uncertainty estimation and compensation. ...M …
Here, based on the back-stepping design procedure and function approximation property of Legendre polynomials, a novel controller for …
3,810 results