Hypernatural Numbers as Ultrafilters [PDF]
, 2015 In this paper we present a use of nonstandard methods in the theory of ultrafilters and in related applications to combinatorics of ...
A Blass +27 more
core +2 more sources
Hyper-extensions in metric fixed point theory [PDF]
, 2014 We apply a modern axiomatic system of nonstandard analysis in metric fixed point theory. In particular, we formulate a nonstandard iteration scheme for nonexpansive mappings and present a nonstandard approach to fixed-point problems in direct sums of ...
Wiśnicki, Andrzej
core
Arithmetic Nullstellensatz and Nonstandard Methods [PDF]
, 2014 In this study we find height bounds for polynomial rings over integral domains. We apply nonstandard methods and hence our constants will be ineffective.
Göral, Haydar
core
Fourier spectra of measures associated with algorithmically random Brownian motion
, 2014 In this paper we study the behaviour at infinity of the Fourier transform of Radon measures supported by the images of fractal sets under an algorithmically random Brownian motion.
Davie, George +2 more
core +1 more source
Separating the Fan Theorem and Its Weakenings
, 2014 Varieties of the Fan Theorem have recently been developed in reverse constructive mathematics, corresponding to different continuity principles. They form a natural implicational hierarchy.
Diener, Hannes, Lubarsky, Robert S.
core +1 more source
Recent advances on Tsagas-Sourlas-Santilli isotopology [PDF]
, 2005 Because the Lie Theory solely applies to linear systems, in 1978 Santilli proposed the isotopic lifting of Lie’s theory for nonlinear systems, today known as the Lie-Santilli isotheory, via the reconstruction of linearity on the isotopic lifting of ...
Falcón Ganfornina, Raúl Manuel +1 more
core
Topological and algebraic structures on the ring of Fermat reals [PDF]
, 2011 The ring of Fermat reals is an extension of the real field containing nilpotent infinitesimals, and represents an alternative to Synthetic Differential Geometry in classical logic.
Giordano, Paolo, Kunzinger, Michael
core
Leibniz's Principles and Topological Extensions
, 2010 Three philosophical principles are often quoted in connection with Leibniz: "objects sharing the same properties are the same object", "everything can possibly exist, unless it yields contradiction", "the ideal elements correctly determine the real ...
Forti, Marco
core
Autoreactive B cells against malondialdehyde-induced protein cross-links are present in the joint, lung, and bone marrow of rheumatoid arthritis patients. [PDF]
J Biol Chem, 2023 Sahlström P +12 more
europepmc +1 more source
The Interest of a Systematic Toxicological Analysis Combined with Forensic Advice to Improve the Judicial Investigation and Final Judgment in Drug Facilitated Sexual Assault Cases. [PDF]
Pharmaceuticals (Basel), 2021 Wille SMR +6 more
europepmc +1 more source