Results 21 to 30 of about 82,468 (248)

Hyperfinite-Dimensional Representations of Canonical Commutation Relation [PDF]

, 1997
This paper presents some methods of representing canonical commutation relations in terms of hyperfinite-dimensional matrices, which are constructed by nonstandard analysis.
Hideyasu Yamashita, Hinokuma T.
core   +2 more sources

An operator equation and relativistic alterations in the time for radioactive decay

International Journal of Mathematics and Mathematical Sciences, 1996
In this paper, using concepts from the nonstandard physical world, the linear effect line element is derived. Previously, this line element was employed to obtain, with the exception of radioactive decay, all of the experimentally verified special theory
Robert A. Herrmann
doaj   +1 more source

Nonstandard Version of Intermediate Value Property

Science Journal of University of Zakho, 2017
In this paper, some new properties and results about Intermediate Value Property (IVP) via nonstandard concepts are given, and modifying some existing results to show the advantage role of nonstandard analysis tools for obtaining differed nonstandard ...
Ibrahim O. Hamad, Sami A. Hussein
doaj   +1 more source

Solution of Inhomogeneous Differential Equations with Polynomial Coefficients in Terms of the Green’s Function, in Nonstandard Analysis

AppliedMath, 2022
Discussions are presented by Morita and Sato on the problem of obtaining the particular solution of an inhomogeneous differential equation with polynomial coefficients in terms of the Green’s function.
Tohru Morita
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

Nonstandard Treatment of Two Dimensional Taylor Series with Reminder Formulas [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2008
The aim of this paper is to establish some new two dimensional Taylor series formulas using some concepts of nonstandard analysis given by Robinson and axiomatized by Nelson  
Ibrahim Hamad
doaj   +1 more source

Weighted Graphs and Fuzzy Graphs [PDF]

Transactions on Fuzzy Sets and Systems, 2023
It has been shown in literature that in the two-dimensional case, the lattices of truth values considered are pairwise isomorphic, and so are the corresponding families of fuzzy sets.
John Mordeson, Anntreesa Josy, Sunil Mathew   +2 more
doaj   +1 more source

Virtual Enriching Operators [PDF]

, 2019
We construct bounded linear operators that map $H^1$ conforming Lagrange finite element spaces to $H^2$ conforming virtual element spaces in two and three dimensions.
Brenner, Susanne C., Sung, Li-yeng
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

Reverse Mathematics and parameter-free Transfer

, 2018
Recently, conservative extensions of Peano and Heyting arithmetic in the spirit of Nelson's axiomatic approach to Nonstandard Analysis, have been proposed.
Berg, Benno van den, Sanders, Sam
core   +1 more source