Search results for "paces"

Subdifferential and conjugate calculus of integral functions with and without qualification conditions

2023

We characterize the subdifferential and the Fenchel conjugate of convex integral functions by means of respectively the approximate subdifferential and the conjugate of the associated convex normal integrands. The results are stated in Suslin locally convex spaces, and do not require continuity-type qualification conditions on the functions, nor special topological or algebraic structures on the index set. Consequently, when confined to separable Banach spaces, the characterizations of such a subdifferential are obtained using only the exact subdifferential of the given integrand but at nearby points. We also provide some simplifications of our formulas when additional continuity conditions…

Seifert manifolds admitting partially hyperbolic diffeomorphisms

2017

We characterize which 3-dimensional Seifert manifolds admit transitive partially hyperbolic diffeomorphisms. In particular, a circle bundle over a higher-genus surface admits a transitive partially hyperbolic diffeomorphism if and only if it admits an Anosov flow.

Introduction : spaces of upset in the Nordic region

2022

Abstract This introductory article opens the thematic issue Spaces of Upset in the Nordic Region. It introduces the contributions of the issue, outlines the concepts that unite them, and discusses the sociolinguistic area in which they are set: the Nordic region. Centering on Denmark, Finland and Sweden, the article offers an overview of some of the sociolinguistic, ideological and political characteristics of the region and the countries it comprises. The Nordic region is widely seen as a paradigm case of social stability, consensus and cohesion. This vision is, however, a mirage. To be sure, upset often lingers below the discursive veneer of Nordic harmony, concord and agreement. Breaking…

The structure of symplectic groups associated with a quadratic extension of fields

2003

Given a quadratic extension L/K of fields and a regular alternating space (V, f) of finite dimension over L, we determine the isometry group of a K-subspace W of V which does not split into the orthogonal sum of two proper K-subspaces, W being neither an L-space nor a K-substructure.

Conceptualization for intended action: A dynamic model

2023

Concepts are the building blocks of higher-order cognition and consciousness. Building on Conceptual Spaces Theory (CST) and proceeding from the assumption that concepts are inherently dynamic, this paper provides historical context to and significantly elaborates the previously offered Iterative Subdivision Model (ISDM) with the goal of pushing it toward empirical testability. The paper describes how agents in continuous interaction with their environment adopt an intentional orientation, estimate the utility of the concept(s) applicable to action in the current context, engage in practical action, and adopt any new concepts that emerge: a largely pre-intellectual cycle that repeats essent…

Dal cane-cibo al dog restaurant

2017

Gastronomic discourse often calls into question issues surrounding animality, but it’s not only the imposition of Paleo or vegetarian diets encouraging or banning the consumption of meat which are becoming increasingly popular subjects. New trends in animal foods such as the appearance and growth of dog restaurants or the increase in attention being given to the nutritional quality of dry dog food are becoming important areas of discussion too, and while some traditionalists will always view the dog as a beast, contrasting progressive ideas are now being aired in the media. In this article we will talk about food philosophies and restaurants (both human and animal) to showhowthey communicat…

Some algebraic and topological properties of the nonabelian tensor product

2013

Several authors investigated the properties which are invariant under the passage from a group to its nonabelian tensor square. In the present note we study this problem from the viewpoint of the classes of groups and the methods allow us to prove a result of invariance for some geometric properties of discrete groups.

Intrinsic characterization of space‐time symmetric tensors

1992

This paper essentially deals with the classification of a symmetric tensor on a four‐dimensional Lorentzian space. A method is given to find the algebraic type of such a tensor. A system of concomitants of the tensor is constructed, which allows one to know the causal character of the eigenspace corresponding to a given eigenvalue, and to obtain covariantly their eigenvectors. Some algebraic as well as differential applications are considered.

Territories linking places and communities in the transition to sustainable development

2014

Graph-based exploration and clustering analysis of semantic spaces

2019

Abstract The goal of this study is to demonstrate how network science and graph theory tools and concepts can be effectively used for exploring and comparing semantic spaces of word embeddings and lexical databases. Specifically, we construct semantic networks based on word2vec representation of words, which is “learnt” from large text corpora (Google news, Amazon reviews), and “human built” word networks derived from the well-known lexical databases: WordNet and Moby Thesaurus. We compare “global” (e.g., degrees, distances, clustering coefficients) and “local” (e.g., most central nodes and community-type dense clusters) characteristics of considered networks. Our observations suggest that …