Search results for " Conjecture"

Periodic Classification of Local Anaesthetics (Procaine Analogues)

2006

Algorithms for classification are proposed based on criteria (information entropyand its production). The feasibility of replacing a given anaesthetic by similar ones in thecomposition of a complex drug is studied. Some local anaesthetics currently in use areclassified using characteristic chemical properties of different portions of their molecules.Many classification algorithms are based on information entropy. When applying theseprocedures to sets of moderate size, an excessive number of results appear compatible withdata, and this number suffers a combinatorial explosion. However, after the equipartitionconjecture, one has a selection criterion between different variants resulting fromc…

Entre théorie et pratique. Aristote et le strabisme de la techne

2017

The Aristotelian reflection on the epistemological status of techne, and more specifically on the definition of rhetoric as a techne, can help us to rethink the very actual cleavage between theory and practice. A good techne, as the rhetoric has to be according to Aristotle, has not to choose between theory and practice, between the universal and the particular, but should be able to look simultaneously in both directions and to keep them together. We will try to show that may be worth to rediscover and to introduce the Aristotelian notion of techne into the contemporary epistemological and philosophical debate.

Due note a Seneca (de ira 1.11.5; de matr. fr. 38 V. = 16 B.)

2001

Faltoniae Betitiae Probae Cento Vergilianus

2015

The volume contains the first systematic investigation of Proba's manuscript tradition; all mss. survivors are listed and classified for the first time. Furthermore, the text is critically edited. The purpose of the publication is to provide the new reference edition of Proba's Cento Vergilianus.

Coniectanea (IV)

2021

Si cerca di sanare per congettura alcuni passi di Seneca filosofo e della commedia anonima tardo-latina "Querolus" We try to heal by conjecture some passages of Seneca the philosopher and of the late Latin anonymous comedy "Querolus"

Isotropic stochastic flow of homeomorphisms on Sd for the critical Sobolev exponent

2006

Abstract In this work, we shall deal with the critical Sobolev isotropic Brownian flows on the sphere S d . Based on previous works by O. Raimond and LeJan and Raimond (see [O. Raimond, Ann. Inst. H. Poincare 35 (1999) 313–354] and [Y. LeJan, O. Raimond, Ann. of Prob. 30 (2002) 826–873], we prove that the associated flows are flows of homeomorphisms.

Sobolev-Poincaré implies John

1995

We establish necessary conditions for the validity of Sobolev-Poincaré type inequalities. We give a geometric characterisation for the validity of this inequality for simply connected plane domains.

Dynamics of the Selkov oscillator.

2018

A classical example of a mathematical model for oscillations in a biological system is the Selkov oscillator, which is a simple description of glycolysis. It is a system of two ordinary differential equations which, when expressed in dimensionless variables, depends on two parameters. Surprisingly it appears that no complete rigorous analysis of the dynamics of this model has ever been given. In this paper several properties of the dynamics of solutions of the model are established. With a view to studying unbounded solutions a thorough analysis of the Poincar\'e compactification of the system is given. It is proved that for any values of the parameters there are solutions which tend to inf…

Explicit near-symplectic mappings of Hamiltonian systems with Lie-generating functions

2008

The construction of explicit near-symplectic mappings for generic Hamiltonian systems with the utilization of Lie transforms is presented. The method is mathematically rigorous and systematically extended to high order with respect to a perturbation parameter. The explicit mappings are compared to their implicit counterparts, which use mixed-variable generating functions, in terms of conservation of invariant quantities, calculation speed and accurate construction of Poincare surfaces of sections. The comparative study considers a wide range of parameters and initial conditions for which different time scales are involved due to large differences between internal and external frequencies of…

Note latine (III)

2014

Vengo proposti alcuni emendamenti testuali al testo del commento virgiliano di Tiberio Claudio Donato e all´ anonimo "De rebus bellicis".