New invariants and dimensionless numbers: futile renaissance of old fallacies?

Reply to Nespolo's paper entitled "New invariants and dimensionless numbers: futile renaissance of old allacies?".

included an article by R. F. Nespolo with a very unusual title: " New invariants and dimensionless numbers: futile renaissance of old fallacies? " This paper contains a rather ranting criticism of our paper " Homeostasis and heterostasis: from invariant to dimensionless numbers " (Biol. Res. 36: 211-221, 2003), and therefore we are obliged to respond to Nespolo's comments in detail. A) GENERAL ...

New Algorithm For Computing Secondary Invariants of Invariant Rings of Monomial Groups

In this paper, a new  algorithm for computing secondary invariants of  invariant rings of monomial groups is presented. The main idea is to compute simultaneously a truncated SAGBI-G basis and the standard invariants of the ideal generated by the set of primary invariants.  The advantage of the presented algorithm lies in the fact that it is well-suited to complexity analysis and very easy to i...

New Improvement in Interpretation of Gravity Gradient Tensor Data Using Eigenvalues and Invariants: An Application to Blatchford Lake, Northern Canada

Recently, interpretation of causative sources using components of the gravity gradient tensor (GGT) has had a rapid progress. Assuming N as the structural index, components of the gravity vector and gravity gradient tensor have a homogeneity degree of -N and - (N+1), respectively. In this paper, it is shown that the eigenvalues, the first and the second rotational invariants of the GGT (I1 and ...

Examining the Relationship between “Science” and “Religion” in Socio-Cultural Context of the Renaissance: A Kuhnian Reading of Bacon’s New Atlantis

Thomas Kuhn’s model of paradigm shift as an intra-systemic framework to account for changes within the scientific discourse has been adopted by scholars in different fields as diverse as sociology, theology, economy, and education, to name only a few. The present study argues that the same model can usefully be drawn upon to examine the relationship between ‘science’ and ‘religion’ with some re...

A Review of the Contextual Adaptability of Three Contemporary Urban Paradigms: New Urbanism, Urban Village and Urban Renaissance