Results 1 to 10 of about 15,193 (83)

Mathematical analysis and design of the nonstandard computational method for an epidemic model of computer virus with delay Effect: Application of mathematical biology in computer science

Results in Physics, 2021
Mathematical modeling with nonlinear delay differential equations (DDES) impart a significant role in the different disciplines such as epidemiology, computer modeling, immunology, physiology, neural networks, social sciences, bio-medical engineering, and many more.
Ali Raza, Umbreen Fatima, Muhammad Rafiq, Nauman Ahmed, Ilyas Khan, Kottakkaran Sooppy Nisar, Zafar Iqbal   +6 more
openaire   +2 more sources

Vopěnkova Alternativní teorie množin v matematickém kánonu 20. století

Filosofický časopis, 2022
Vopěnka’s Alternative Set Theory can be viewed both as an evolution and as a revolution: it is based on his previous experience with nonstandard universes, inspired by Skolem’s construction of a nonstandard model of arithmetic, and its inception has been
Haniková, Zuzana
doaj   +1 more source

Divergent mathematical treatments in utility theory [PDF]

, 2015
In this paper I study how divergent mathematical treatments affect mathematical modelling, with a special focus on utility theory. In particular I examine recent work on the ranking of information states and the discounting of future utilities, in order ...
A Bogaard van den, A Robinson, AM Robert, D Lehmann, Davide Rizza, E Nelson, FP Ramsey, H Skala, J Dubra, JA Crespo, JL Bell, K Basu, K Hrbacek, L Lauwers, L Narens, L-G Svensson, M Davis, M Morgan, M Pivato, ML Weitzman, NCA Costa Da, NCA Costa Da, P Suppes, PA Diamond, PC Fishburn, PJ Cameron, R Goldblatt, R Niederée, TC Koopmans   +28 more
core   +1 more source

Finite Embeddability of Sets and Ultrafilters [PDF]

, 2015
A set A of natural numbers is finitely embeddable in another such set B if every finite subset of A has a rightward translate that is a subset of B. This notion of finite embeddability arose in combinatorial number theory, but in this paper we study it ...
Blass, Andreas, Di Nasso, Mauro
core   +3 more sources

Ultrafunctions and Applications [PDF]

, 2014
This paper deals with a new kind of generalized functions, called "ultrafunctions" which have been introduced recently and developed in some previous works.
Baglini, Lorenzo Luperi, Benci, Vieri
core   +2 more sources

Stevin numbers and reality [PDF]

, 2012
We explore the potential of Simon Stevin's numbers, obscured by shifting foundational biases and by 19th century developments in the arithmetisation of analysis.Comment: 22 pages, 4 figures.
A. H. Lightstone, A. L. Cauchy, A. Malet, A. Robinson, A. Tarski, A.-L. Cauchy, B. L. Waerden van der, C.S. Peirce, C.S. Peirce, D. Fearnley-Sander, D. H. Fowler, D. Laugwitz, D. Laugwitz, D. Laugwitz, D. Laugwitz, D. Sherry, D. Tall, D. Tall, E. Hewitt, G. Hellman, G. Lakoff, G. Schubring, H. Freudenthal, H. Sinaceur, J. Bair, J. Burgess, J. Dauben, J. Dauben, J. Havenel, J. L. Bell, K. Bråting, K. Katz, Karin Usadi Katz, L. Arkeryd, L. Arkeryd, L. Magnani, M. Moore, M. Moore, Mikhail G. Katz, N. Cutland, P. Ehrlich, P. Roquette, R. Dossena, R. Ely, R. Goldblatt, S. Gandz, Th. Skolem   +46 more
core   +1 more source

The Dirac delta function in two settings of Reverse Mathematics [PDF]

, 2011
The program of Reverse Mathematics (Simpson 2009) has provided us with the insight that most theorems of ordinary mathematics are either equivalent to one of a select few logical principles, or provable in a weak base theory.
Sanders, Sam, Yokoyama, Keita
core   +2 more sources

Fermat, Leibniz, Euler, and the gang: The true history of the concepts of limit and shadow [PDF]

, 2014
Fermat, Leibniz, Euler, and Cauchy all used one or another form of approximate equality, or the idea of discarding "negligible" terms, so as to obtain a correct analytic answer.
David Sherry, Emanuele Bottazzi, Emanuele Bottazzi, Frederik Herzberg, Karin U. Katz, Mikhail G. Katz, Ph. D. Università, Steven Shnider, Tahl Nowik, Tiziana Bascelli, Vladimir Kanovei   +10 more
core   +3 more sources

Axiomatics for the external numbers of nonstandard analysis [PDF]

, 2017
Neutrices are additive subgroups of a nonstandard model of the real numbers. An external number is the algebraic sum of a nonstandard real number and a neutrix.
Berg, Imme van den, Dinis, Bruno
core   +2 more sources

Cauchy, infinitesimals and ghosts of departed quantifiers [PDF]

, 2017
Procedures relying on infinitesimals in Leibniz, Euler and Cauchy have been interpreted in both a Weierstrassian and Robinson's frameworks. The latter provides closer proxies for the procedures of the classical masters.
Bair, Jacques, Blaszczyk, Piotr, Ely, Robert, Henry, Valerie, Kanovei, Vladimir, Katz, Karin U., Katz, Mikhail G., Kudryk, Taras, Kutateladze, Semen S., McGaffey, Thomas, Mormann, Thomas, Schaps, David M., Sherry, David   +12 more
core   +2 more sources