Search results for "Conjecture"
showing 10 items of 217 documents
Accumulation and destruction of the trust ? : Popperian inspiration plan
2000
When, following other social sciences, economists address the mechanism of trust, they typically focus on the search of a justification or a foundation for trusting, the implicit starting point of the process they have in mind being zero trust, or distrust. By contrast, the present paper, inspired by the philosophy of Popper, suggests, as a starting point for trust, an individual decision associated with what Popper calls a conjecture - that is, a kind of theory - on how the individual (potentially) trusted "functions". The conjecture requires no justification but only the test of its implications. In turn, the decision to trust or to distrust does not reflect in a mechanical or passive way…
Using Chemical Structural Indicators for Periodic Classification of Local Anaesthetics
2011
Algorithms for classification and taxonomy based on criteria as information entropy and its production are proposed. Some local anaesthetics, currently in use, are classified using five characteristic chemical properties of different portions of their molecules. Many classification algorithms are based on information entropy. When applying the procedures to sets of moderate size, an excessive number of results appear compatible with data and the number suffers a combinatorial explosion. However, after the equipartition conjecture one has a selection criterion between different variants resulting from classification between hierarchical trees. Information entropy and principal component anal…
2021
Abstract We prove the existence of a smoothing for a toroidal crossing space under mild assumptions. By linking log structures with infinitesimal deformations, the result receives a very compact form for normal crossing spaces. The main approach is to study log structures that are incoherent on a subspace of codimension 2 and prove a Hodge–de Rham degeneration theorem for such log spaces that also settles a conjecture by Danilov. We show that the homotopy equivalence between Maurer–Cartan solutions and deformations combined with Batalin–Vilkovisky theory can be used to obtain smoothings. The construction of new Calabi–Yau and Fano manifolds as well as Frobenius manifold structures on moduli…
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".
Congetture alle Metamorfosi di Apuleio
2021
The aim of this paper is to cast new light on the textual constitution of some passages of Apuleius´ Metamorphoses. Ca. 40 pieces are discussed and for the most part of them a new solution is proposed; in the other cases I argue for a solution already proposed, bur not accepted by the editors.
Ad Dionem Chrysostomum
2018
Loci aliquot Dionis Chrysostomi ad genuinam lectionem restituuntur
Coniectanea (III)
2016
The aim of the paper is to restore the text of some passages of Greek (Phrynichus, Scholia in Aristophanem) and Latin (Erasmus) authors.