Let Ω be an algebraic closure of Qp and let F be a finite extension of Qp contained in Ω. Given positive integers f and e, the number of extensions K/F contained in Ω with residue degree f and ramification index e was computed by Krasner. This paper is concerned with the number I(F, f, e) of F -isomorphism classes of such extensions. We determine I(F, f, e) completely when p2 ∤ e and get partia...

Any vertex labeling f : V → {0, 1} of the graph G = (V,E) induces a partial edge labeling f ∗ : E → {0, 1} defined by f ∗(uv) = f(u) if and only if f(u) = f(v). The balance index set of G is defined as {|f ∗−1(0)− f ∗−1(1)| ∣∣ |f−1(0) − f−1(1)| ≤ 1}. In this paper, we propose a new and easier approach to find the balance index set of a graph. This new method makes it possible to determine the b...

It has been shown that it is possible to modify macronutrient oxidation, physical fitness and resting energy expenditure (REE) by changes in diet composition. Furthermore, mitochondrial oxidation can be significantly increased by a diet with a low glycemic index. The purpose of our trial was to compare the effects of a vegetarian (V) and conventional diet (C) with the same caloric restriction (...

Given a Latin square L and a subset F of its autotopism group U(L), we study in this paper some properties and results which partial Latin squares contained in L inherit from U(L), by using F. In particular, we define the concept of F-critical set of L and we ask ourselves about the smallest one contained in L.

Algebraic systems with partial operations have different ways to interpret equality between two terms of the language. A strong identity is a formula which says that two terms are equal in the algebra if the existence of one of them implies the existence of the other one and in the case of existence their values are equal. A class of partial algebras defined by a set of strong identities is cal...

The pentameric acetylcholine-binding protein (AChBP) is a soluble surrogate of the ligand binding domain of nicotinic acetylcholine receptors. Agonists bind within a nest of aromatic side chains contributed by loops C and F on opposing faces of each subunit interface. Crystal structures of Aplysia AChBP bound with the agonist anabaseine, two partial agonists selectively activating the alpha7 re...

We consider intersecting hypersurfaces in curved spacetime with gravity governed by a class of actions which are topological invariants in lower dimensionality. Along with the Chern-Simons boundary terms there is a sequence of intersection terms that should be added in the action functional for a well defined variational principle. We construct them in the case of Characteristic Classes, obtain...

This paper examines the properties of structure preserving morphisms f over discrete partial orders. It employs concepts of continuity and path homomorphisms. It will conclude that no single constraint on f will be sufficient, and it will also conclude that a convexity constraint on f−1 seems to be essential. We employ closure lattices to help reach this conclusion.