5 papers · 1 filter
Where Infinitesimals Come From ..
Elemer E Rosinger
The presence of infinitesimals is traced back to some of the most general algebraic structures, namely, semigroups, and in fact, magmas, [1], in which none of the structures of lin…
Brief Notes on Sheaves Theory
Elemer E Rosinger
Essentials of sheaves are briefly presented, followed by related comments on presheaves, bundles, manifolds and singularities, aiming to point to their differences not only in thei…
Brief Lecture Notes on Self-Referential Mathematics, and Beyond
Elemer E Rosinger
Recently delivered lectures on Self-Referential Mathematics, [2], at the Department of Mathematics and Applied Mathematics, University of Pretoria, are briefly presented. Comments…
Self-Referential Definition of Orthogonality
Elemer E Rosinger, Gusti van Zyl
There has for longer been an interest in finding equivalent conditions which define inner product spaces, and the respective literature is considerable, see for instance Amir, whic…
Heisenberg Uncertainty in Reduced Power Algebras
Elemer E Rosinger
The Heisenberg uncertainty relation is known to be obtainable by a purely mathematical argument. Based on that fact, here it is shown that the Heisenberg uncertainty relation remai…