O ct 2 00 8 NONSTANDARD ANALYSIS - A SIMPLIFIED APPROACH -

N ov 2 00 3 NONSTANDARD ANALYSIS - A SIMPLIFIED APPROACH -

. G M ] 2 8 Ju n 20 06 NONSTANDARD ANALYSIS - A SIMPLIFIED APPROACH -

A New Approach to Nonstandard Analysis

In this paper, we propose a new approach to nonstandard analysis without using the ultrafilters. This method is very simple in practice. Moreover, we construct explicitly the total order relation in the new field of the infinitesimal numbers. To illustrate the importance of this work, we suggest comparing  a few applications of this approach with the former methods.

ar X iv : n uc l - th / 9 81 00 24 v 1 9 O ct 1 99 8 1 Uncertainties in the Solar Neutrino Flux

I discuss three issues relevant to solar neutrino flux measurements: cross section uncertainties in pp chain reactions, uncertainties in the GALLEX/SAGE response to 7 Be and 51 Cr neutrinos, and the implications of helioseismology for nonstandard suns with mixed cores. A few comments are also offered on νe ↔ ντ oscillations, cosmologically interesting neutrino masses, and recent proposals for s...

ar X iv : h ep - p h / 03 10 36 3 v 1 3 1 O ct 2 00 3 On two weak CC ∆ production models

We perform a detail analysis of two models for neutrino π+ production via ∆++ excitation and conclude that Marteau model [1] althrough based on simplified dynamical assumptions leads to similar results as well established model based on modelling of nucleon-Delta transition current with several form-factors [2].