Search results for "Maps"
showing 10 items of 236 documents
On the structure of the set of solutions of nonlinear equations
1971
Let T be a mapping from a subset of a Banach space X into a Banach space Y. The present paper investigates the nature of the set of solutions of the equation T(x) = y for a given y E Y, i.e. when T-l(y) # 0 ? What are the topological properties of T-l(y)? A prototype for an answer to these questions is given by Peano existence theorem on the connectedness of the set of solutions of an ordinary differential equation in the real case. In its general setting, this problem was first attacked by Aronszajn [l] and Stampacchia [l 11; recently, by Browder-Gupta [5], Vidossich [12] and, above all, Browder [3, Sec. 51 who gives several interesting results in an excellent treatment. Customary, the str…
The horospherical Gauss-Bonnet type theorem in hyperbolic space
2006
We introduce the notion horospherical curvatures of hypersurfaces in hyperbolic space and show that totally umbilic hypersurfaces with vanishing cur- vatures are only horospheres. We also show that the Gauss-Bonnet type theorem holds for the horospherical Gauss-Kronecker curvature of a closed orientable even dimensional hypersurface in hyperbolic space. + (i1) by using the model in Minkowski space. We introduced the notion of hyperbolic Gauss indicatrices slightly modified the definition of hyperbolic Gauss maps. The notion of hyperbolic indicatrices is independent of the choice of the model of hyperbolic space. Using the hyperbolic Gauss indicatrix, we defined the principal hyperbolic curv…
"Fixed Point Theorems for '?, ?'Contractive maps in Weak nonArchimedean Fuzzy Metric Spaces and Application"
2011
The present study introduce the notion of (ψ, ϕ)-Contractive maps in weak non-Archimedean fuzzy metric spaces to derive a common fixed point theorem which complements and extends the main theorems of [C.Vetro, Fixed points in weak non-Archimedean fuzzy metric spaces, Fuzzy Sets and System, 162 (2011), 84-90] and [D.Mihet, Fuzzy ψ-contractive mappings in non-Archimedean fuzzy metric spaces, Fuzzy Sets and System, 159 (2008) 739-744]. We support our result by establishing an application to product spaces.
RADEMACHER'S THEOREM IN BANACH SPACES WITHOUT RNP
2017
Abstract We improve a Duda’s theorem concerning metric and w *-Gâteaux differentiability of Lipschitz mappings, by replacing the σ-ideal 𝓐 of Aronszajn null sets [ARONSZAJN, N.: Differentiability of Lipschitzian mappings between Banach spaces, Studia Math. 57 (1976), 147–190], with the smaller σ-ideal 𝓐 of Preiss-Zajíček null sets [PREISS, D.—ZAJÍČEK, L.: Directional derivatives of Lipschitz functions, Israel J. Math. 125 (2001), 1–27]. We also prove the inclusion C̃ o ⊂ 𝓐, where C̃ o is the σ-ideal of Preiss null sets [PREISS, D.: Gâteaux differentiability of cone-monotone and pointwise Lipschitz functions, Israel J. Math. 203 (2014), 501–534].
Il sostenibile ossimoro del GIS qualitativo
2017
The Sustainable Oxymoron of Qualitative GIS This paper discusses the idea of a qualitative GIS, by presenting an experiment held in Palermo during the last few years. It first presents a theoretical framework on the shifting paradigms concerning maps and GIS, and then introduces the current debate on mixing qualitative and quantitative data and techniques of analysis in GIScience. By collecting mental maps representing the neighbourhoods of Palermo and inserting them within a traditional GIS structure, the author has warped these traditional representations in order to obtain a map which is less technically accurate, yet more complying with the perception of the citizens. These operations h…
Mosses as biomonitors of atmospheric heavy metal deposition : Spatial patterns and temporal trends in Europe
2010
In recent decades, mosses have been used successfully as biomonitors of atmospheric deposition of heavy metals. Since 1990, the European moss survey has been repeated at five-yearly intervals. Although spatial patterns were metal-specific, in 2005 the lowest concentrations of metals in mosses were generally found in Scandinavia, the Baltic States and northern parts of the UK ; the highest concentrations were generally found in Belgium and south-eastern Europe. The recent decline in emission and subsequent deposition of heavy metals across Europe has resulted in a decrease in the heavy metal concentration in mosses for the majority of metals. Since 1990, the concentration in mosses has decli…
Fuzzy cognitive maps for knowledge-oriented human risk management in industry
2021
This contribution proposes an integrated approach making use of Fuzzy Cognitive Maps (FCMs) to organise in a flexibleway human knowledge about decision-making (DM) problems of interest in industry. By modelling human reasoning, FCMs allow to represent real phenomena on the basis of spontaneous human brainstorming on relations between pairs of relevant DM elements. Because of its characteristics, the use of FCMs can be effective to model DM problems such as human risk management, particularly critical in the industrial business sector. After identifying human risks in the existing literature, FCMs will be used to define relations among risks, which will be later prioritised by means of a mod…
Funnel plots and choropleth maps in cancer risk communication: a Delphi study.
2019
In the last decades, the issues related to health risk communication to stakeholders and citizens involving health care practitioners and local political authorities have been increasingly debated. The study evaluated an alternative strategy to communicate cancer risk to local communities, involving an expert panel of public health operators in comparing two different graphic tools, Funnel Plot and Choropleth map.A Delphi method process was implemented to achieve a unified consensus on an expert panel of public health operators with regard to weaknesses and strengths of the Funnel Plot and the Choropleth map as tools for cancer risk communication to local communities and other stakeholders.…
Cartografía de vulnerabilidad frente a inundaciones en llanos mediterráneos. Caso de estudio del Barranc de Carraixet y Rambla de Poyo
2008
Este trabajo aborda la cartografía de vulnerabilidad frente a inundaciones, en dos pequeños llanos mediterráneos pertenecientes al Barranc de Carraixet y la Rambla de Poyo. Ambos forman parte del Área Metropolitana de Valencia, integrando las comarcas de l¿Horta Nord y l¿Horta Sud, respectivamente. Constituye un ensayo metodológico, basado en estimadores socioeconómicos sencillos, obtenidos a partir de los usos del suelo. La vulnerabilidad se evalúa en función del valor económico del suelo y de la exposición humana al peligro. El valor económico del suelo se calcula a partir del Catastro. La exposición se calcula para tres supuestos de densidad de ocupación del espacio en función de la fran…
Rtp1p Is a Karyopherin-Like Protein Required for RNA Polymerase II Biogenesis
2013
The assembly and nuclear transport of RNA polymerase II (RNA pol II) are processes that require the participation of many auxiliary factors. In a yeast genetic screen, we identified a previously uncharacterized gene, YMR185w (renamed RTP1), which encodes a protein required for the nuclear import of RNA pol II. Using protein affinity purification coupled to mass spectrometry, we identified interactions between Rtp1p and members of the R2TP complex. Rtp1p also interacts, to a different extent, with several RNA pol II subunits. The pattern of interactions is compatible with a role for Rtp1p as an assembly factor that participates in the formation of the Rpb2/Rpb3 subassembly complex and its bi…