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Year Number of Results
1920 1
1921 1
1933 1
1946 1
1965 1
1968 1
1969 1
1972 3
1973 1
1974 2
1975 2
1976 1
1977 5
1978 3
1979 4
1980 5
1981 3
1982 2
1983 4
1984 5
1985 5
1986 7
1987 5
1988 1
1989 2
1990 2
1991 1
1992 6
1993 6
1994 3
1995 10
1996 10
1997 4
1998 8
1999 17
2000 24
2001 16
2002 22
2003 18
2004 23
2005 19
2006 19
2007 29
2008 31
2009 28
2010 29
2011 34
2012 29
2013 24
2014 42
2015 41
2016 41
2017 31
2018 40
2019 30
2020 34
2021 33
2022 48
2023 43
2024 18

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824 results

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Page 1
Destructive relativity.
Przybylska M, Szumiński W, Maciejewski AJ. Przybylska M, et al. Chaos. 2023 Jun 1;33(6):063156. doi: 10.1063/5.0140633. Chaos. 2023. PMID: 37368038
We formulate very strong necessary integrability conditions for the case when the potential is a homogeneous function of coordinates of integer non-zero degrees. If Hamilton equations are integrable in the Liouville sense, then eigenvalues of the scaled Hessian matr …
We formulate very strong necessary integrability conditions for the case when the potential is a homogeneous function of coordinates …
Optimized coherence selection.
Miloushev VZ, Palmer AG 3rd. Miloushev VZ, et al. J Magn Reson. 2018 Dec;297:138-145. doi: 10.1016/j.jmr.2018.10.011. Epub 2018 Oct 23. J Magn Reson. 2018. PMID: 30391869 Free PMC article.
A theoretical framework for optimized coherence order selection in regards to cogwheel phase cycling is developed based on analysis of solutions of the associated homogeneous linear Diophantine equation. The empirical Hughes-Carravetta-Levitt conjectures are …
A theoretical framework for optimized coherence order selection in regards to cogwheel phase cycling is developed based on analysis of solut …
Global Existence and Fixed-Time Synchronization of a Hyperchaotic Financial System Governed by Semi-Linear Parabolic Partial Differential Equations Equipped with the Homogeneous Neumann Boundary Condition.
Wang C, Zhao X, Zhang Y, Lv Z. Wang C, et al. Entropy (Basel). 2023 Feb 15;25(2):359. doi: 10.3390/e25020359. Entropy (Basel). 2023. PMID: 36832725 Free PMC article.
Chaotic nonlinear dynamical systems, in which the generated time series exhibit high entropy values, have been extensively used and play essential roles in tracking accurately the complex fluctuations of the real-world financial markets. We are concerned with a system of semi- …
Chaotic nonlinear dynamical systems, in which the generated time series exhibit high entropy values, have been extensively used and play ess …
On homogeneous second order linear general quantum difference equations.
Faried N, Shehata EM, El Zafarani RM. Faried N, et al. J Inequal Appl. 2017;2017(1):198. doi: 10.1186/s13660-017-1471-3. Epub 2017 Aug 24. J Inequal Appl. 2017. PMID: 28904519 Free PMC article.
We also construct a fundamental set of solutions for the second order linear homogeneous beta-difference equations when the coefficients are constants and study the different cases of the roots of their characteristic equations. Finally, we drive the E …
We also construct a fundamental set of solutions for the second order linear homogeneous beta-difference equations when …
Effective Governing Equations for Viscoelastic Composites.
Miller L, Ramírez-Torres A, Rodríguez-Ramos R, Penta R. Miller L, et al. Materials (Basel). 2023 Jul 11;16(14):4944. doi: 10.3390/ma16144944. Materials (Basel). 2023. PMID: 37512218 Free PMC article.
We derive the governing equations for the overall behaviour of linear viscoelastic composites comprising two families of elastic inclusions, subphases and/or fibres, and an incompressible Newtonian fluid interacting with the solid phases at the microscale. ...We can …
We derive the governing equations for the overall behaviour of linear viscoelastic composites comprising two families of elast …
Natural scaling of size distributions in homogeneous and heterogeneous rate equations with size-linear capture rates.
Dubrovskii VG, Berdnikov YS. Dubrovskii VG, et al. J Chem Phys. 2015 Mar 28;142(12):124110. doi: 10.1063/1.4916323. J Chem Phys. 2015. PMID: 25833568
We obtain exact solutions of the rate equations for homogeneous and heterogeneous irreversible growth models with linear size dependences of the capture rates. ...In homogeneous cases, the size distribution is monotonically decreasing regardless of a. …
We obtain exact solutions of the rate equations for homogeneous and heterogeneous irreversible growth models with linear …
Quantum Linear System Algorithm for General Matrices in System Identification.
Li K, Zhang M, Liu X, Liu Y, Dai H, Zhang Y, Dong C. Li K, et al. Entropy (Basel). 2022 Jun 29;24(7):893. doi: 10.3390/e24070893. Entropy (Basel). 2022. PMID: 35885115 Free PMC article.
Solving linear systems of equations is one of the most common and basic problems in classical identification systems. ...Meanwhile, we also design a quantum circuit for the homogeneous linear equations and achieve an exponential improvement. ...
Solving linear systems of equations is one of the most common and basic problems in classical identification systems. ...Meanw …
Physiology, Pulmonary Vascular Resistance.
Widrich J, Shetty M. Widrich J, et al. 2024 Jan 31. In: StatPearls [Internet]. Treasure Island (FL): StatPearls Publishing; 2024 Jan–. 2024 Jan 31. In: StatPearls [Internet]. Treasure Island (FL): StatPearls Publishing; 2024 Jan–. PMID: 32119267 Free Books & Documents.
Poiseuille's Law Modeling Pulmonary Vascular Resistance). In this equation, l represents the length of the tube or vessel, r its radius, and n the fluid's viscosity. ...However, Ohm's and Poiseuille's laws are approximations of PVR. Both equations assume that blood …
Poiseuille's Law Modeling Pulmonary Vascular Resistance). In this equation, l represents the length of the tube or vessel, r its radi …
Higher-Order Linearization and Regularity in Nonlinear Homogenization.
Armstrong S, Ferguson SJ, Kuusi T. Armstrong S, et al. Arch Ration Mech Anal. 2020;237(2):631-741. doi: 10.1007/s00205-020-01519-1. Epub 2020 Apr 9. Arch Ration Mech Anal. 2020. PMID: 32421078 Free PMC article.
The analysis proceeds by iteratively improving three statements together: (i) the regularity of the homogenized Lagrangian L , (ii) the commutation of higher-order linearization and homogenization, and (iii) large-scale C0,1 -type regularity for higher-order …
The analysis proceeds by iteratively improving three statements together: (i) the regularity of the homogenized Lagrangian L , (ii) t …
Investigating biocomplexity through the agent-based paradigm.
Kaul H, Ventikos Y. Kaul H, et al. Brief Bioinform. 2015 Jan;16(1):137-52. doi: 10.1093/bib/bbt077. Epub 2013 Nov 12. Brief Bioinform. 2015. PMID: 24227161 Free PMC article. Review.
This presents a serious challenge for the more traditional mathematical approaches that assume component homogeneity to relate system observables using mathematical equations. ...In this article, we explore the reasons that make agent-based modelling the most precis …
This presents a serious challenge for the more traditional mathematical approaches that assume component homogeneity to relate system …
824 results