Results 41 to 50 of about 22,057,611 (283)
ON SOME NONSTANDARD DEVELOPMENTS OF INTERMEDIATE VALUE PROPERTY [PDF]
Assiut University Journal of Multidisciplinary Scientific Research, 2016 In this paper, by using the power of nonstandard analysis tools, we review some of the standard facts on the intermediate value property (IVP) and investigates some new nonstandard developments by extending the classical definition.
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, 2002 This MQP reviews the history of nonstandard analysis, how it can be used, and its applications in basic analysis. The process of completing many proofs and exercises gave way to a new understanding of how nonstandard analysis can be extended and applied ...
Godbout, Christopher Romeo
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Time averaging for functional differential equations
Journal of Applied Mathematics, 2003 We present a result on the averaging for functional differential equations on finite time intervals. The result is formulated in both classical mathematics and nonstandard analysis; its proof uses some methods of nonstandard analysis.
Mustapha Lakrib
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On differential operators an differential equations on torus
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2018 In this paper, we consider periodic boundary value problems for a differential equation whose coefficients are trigonometric polynomials. The spaces of generalized functions are constructed, in which the problems considered have solutions, in particular,
Vladimir P Burskii
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Solution of Euler’s Differential Equation in Terms of Distribution Theory and Fractional Calculus
Mathematics, 2020 For Euler’s differential equation of order n, a theorem is presented to give n solutions, by modifying a theorem given in a recent paper of the present authors in J. Adv. Math. Comput. Sci.
Tohru Morita, Ken-ichi Sato
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A nonstandard characterization of regular surfaces [PDF]
, 2007 In the present work we approach the study of surfaces using Nonstandard Analysis, by providing first a nonstandard characterization of a surface.
Almeida, R
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MagmaFlow: A desktop platform for artificial intelligence‐driven expression analysis
FEBS Open Bio, EarlyView.MagmaFlow is a free, no‐code platform for gene expression analysis. It generates interactive volcano plots, links genes to literature, pathways, and diseases, prioritizes candidates using millions of publications, identifies affected biological processes, builds network diagrams, and exports publication‐ready figures and reports for macOS and Windows ...
Carlos E. Buss +7 more
wiley +1 more source
Singular perturbations and nonstandard analysis [PDF]
Transactions of the American Mathematical Society, 1979 We study by methods of nonstandard analysis second order differential operators with zero order coefficients which are too singular to be defined by standard functions. In particular we study perturbations of the Laplacian in
Albeverio, Sergio +2 more
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Retroreflecting curves in nonstandard analysis [PDF]
, 2009 We present a direct construction of retroreflecting curves by means of Nonstandard Analysis. We construct non self-intersecting curves which are of class C(1), except for a hyper-finite set of values, such that the probability of a particle being ...
Neves, V, Plakhov, A, Almeida, R
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Arthritis Care &Research, EarlyView.Objective Youth who experience a sport‐related knee injury have elevated odds of becoming overweight or developing obesity in 3 to 10 years, compounding their risk for posttraumatic osteoarthritis (PTOA). To inform prevention strategies, this study compared patterns of adiposity change between youth with a sport‐related knee injury and uninjured youth ...
Justin M. Losciale +6 more
wiley +1 more source