Search results for " set"
showing 10 items of 2095 documents
Mappings of Finite Distortion : Compactness of the Branch Set
2017
We show that an entire branched cover of finite distortion cannot have a compact branch set if its distortion satisfies a certain asymptotic growth condition. We furthermore show that this bound is strict by constructing an entire, continuous, open and discrete mapping of finite distortion which is piecewise smooth, has a branch set homeomorphic to an (n - 2)-dimensional torus and distortion arbitrarily close to the asymptotic bound. Peer reviewed
A CI study of the CuCO and CuCO+ complexes
1987
MO CI calculations are carried out using an optimal space of valence virtual MOs obtained by means of a projection technique, as a linear combination of the AOs which are more occupied in the molecular Fock space. Localization of the occupied MOs and nonvalence virtual MOs is also achieved. The overall procedure is proven to be quite advantageous and well suited to obtain potential energy curves which keep the same physical meaning along the range of distances studied. Using a slightly better than double‐zeta quality basis set, a valence CAS‐CI, and selected CI wave function by the CIPSI algorithm have revealed a possible weak van der Waals interaction for the 2Σ+ state of CuCO, which remai…
Finiteness in a Minimalist Foundation
2008
We analyze the concepts of finite set and finite subset from the perspective of a minimalist foundational theory which has recently been introduced by Maria Emilia Maietti and the second author. The main feature of that theory and, as a consequence, of our approach is compatibility with other foundational theories such as Zermelo-Fraenkel set theory, Martin-Lof's intuitionistic Type Theory, topos theory, Aczel's CZF, Coquand's Calculus of Constructions. This compatibility forces our arguments to be constructive in a strong sense: no use is made of powerful principles such as the axiom of choice, the power-set axiom, the law of the excluded middle.
A fixed point theorem for G-monotone multivalued mapping with application to nonlinear integral equations
2017
We extend notion and theorem of [21] to the case of a multivalued mapping defined on a metric space endowed with a finite number of graphs. We also construct an example to show the generality of our result over existing results. Finally, we give an application to nonlinear integral equations
Can Extensive Reticulation and Concerted Evolution Result in a Cladistically Structured Molecular Data Set?
2001
Hierarchy is the main criterion for informativeness in a data set, even if no explicit reference to evolution as a causal process is provided. Sequence data (nuclear ribosomal DNA ITS) from Armeria (Plumbaginaceae) contains a certain amount of hierarchical structure as suggested by data decisiveness (DD) and distribution of tree lengths (DTL). However, ancillary evidence suggests that extensive gene flow and biased concerted evolution in these multi-copy regions have significantly shaped the ITS data set. This argument is discussed using parsimony analysis of four data sets, constructed by combining wild sequences with those from different generations of artificial hybrids (wild + F1, F2, a…
Spatial prediction of soil erosion susceptibility using a fuzzy analytical network process: Application of the fuzzy decision making trial and evalua…
2018
Soil erosion is a worldwide threat that results in soil degradation, agriculture abandonment, and crop yield reduction. There is a need to find methods to survey soil erosion rates in order to improve and develop sustainable land planning. The present study utilizes new approaches based on the fuzzy set both in designing the problem (through the fuzzy decision making trial and evaluation laboratory) and in prioritizing the effective factors to mitigate soil erosion (using a fuzzy analytical network process, FANP). This study is first to apply these methods to soil erosion. A set of geo‐environmental factors influencing soil erosion was characterized to evaluate the potential risk of soil er…
In-between sprawl and neo-rurality. Sparse settlements and the evolution of socio-demographic local context in a Mediterranean region
2018
Dispersed urbanization during the last half century has transformed metropolitan regions into well-connected, low-density residential areas. However, this kind of urbanization has changed irreversibly the traditional rural landscape around cities, leading to a new definition of &lsquo
The GIS Platform and the Spatial Analyses
2019
Spatial analyses, carried out using a GIS (Geographic Information System) platform, investigated the relationship between different environments (from the coast to the highlands) and human settlement and mobility strategies, in a diachronic perspective. Mobility strategies of the last hunter-gatherers in Sicily, the origin and first development of husbandry, the debated question about territorial relationships between indigenous people and Greek colonists, the birth of an articulated territorial exploitation system in Medieval times are some of the main topics discussed in this chapter.
L’intervisibilità. Analisi del paesaggio nella chora della colonia greca di Himera
2016
This study focuses on the analysis of the landscape in the territory of the colony of Himera. In particular, this work is inspired by a detailed examination conducted on the basis of parametric modelling, which has helped us to understand what factors (pedology, altimetry, geology, supply basins, etc.) had an effect in the settlement choices of the Imerese territory during the Colonial Age. We analysed the role intervisibility had between sites in the organisation of the landscape. By avoiding a deterministic logic, we intersected the data from previous surveys on the development of predictive models with the archaeological data, formulating hypotheses on the role that the main settlements …
Pollen and Plant Macroremain Analyses for the Reconstruction of Environmental Changes in the Early Metal Period
2006
A sharp increase in human population density and the same time fundamental changes in the location of settlement, moving away from earlier inhabited places points to significant changes in the environment. This period with a sharp decrease in anthropogenic indicators and poor records of slash and burn cultivation and field crop-growing is named “transition” period (Vasks et.al.1998) and indicates the lack of stable and continuous inhabitant sites. This phenomena can be explained by the small size of settlements at the Early Iron Age, expressed by a weak cultural layer and these could be defined as separate farmsteads. Modern farming practices, especially modern tillage, adversely affected t…