Search results for "DIMENSION"

Packing dimensions of sections of sets

1999

We obtain a formula for the essential supremum of the packing dimensions of the sections of sets parallel to a given subspace. This depends on a variant of packing dimension defined in terms of local projections of sets.

Quasi-Modes in Higher Dimension

2019

Recall that if a(x, ξ) and b(x, ξ) are two C1-functions defined on some domain in \({\mathbf {R}}^{2n}_{x,\xi }\), then we can define the Poisson bracket to be the C0-function on the same domain given by $$\displaystyle \{ a,b\} =a^{\prime }_\xi \cdot b^{\prime }_x-a^{\prime }_x \cdot b^{\prime }_\xi =H_a(b). $$ Here \(H_a=a^{\prime }_\xi \cdot \partial _x-a^{\prime }_x\cdot \partial _\xi \) denotes the Hamilton vector field of a. The following result is due to Zworski, who obtained it via a semi-classical reduction from the above mentioned result of Hormander. A direct proof was given in Dencker et al. and here we give a variant. We will assume some familiarity with symplectic geometry.

Growth of polynomial identities: is the sequence of codimensions eventually non-decreasing?

2014

Varieties with at most quadratic growth

2010

Let V be a variety of non necessarily associative algebras over a field of characteristic zero. The growth of V is determined by the asymptotic behavior of the sequence of codimensions cn(V); n = 1; 2, … and here we study varieties of polynomial growth. Recently, for any real number a, 3 < a < 4, a variety V was constructed satisfying C1n^a < cn(V) < C2n^a; for some constants C1;C2. Motivated by this result here we try to classify all possible growth of varieties V such that cn(V) < Cn^a; with 0 < a < 2, for some constant C. We prove that if 0 < a < 1 then, for n large, cn(V) ≤ 1, whereas if V is a commutative variety and 1 < a < 2, then lim logn cn(V) = 1 o…

Local dimensions of sliced measures and stability of packing dimensions of sections of sets

2004

Abstract Let m and n be integers with 0 R n to certain properties of plane sections of μ. This leads us to prove, among other things, that the lower local dimension of (n−m)-plane sections of μ is typically constant provided that the Hausdorff dimension of μ is greater than m. The analogous result holds for the upper local dimension if μ has finite t-energy for some t>m. We also give a sufficient condition for stability of packing dimensions of section of sets.

Fréchet Spaces of Holomorphic Functions without Copies of l 1

1996

Let X be a Banach space. Let Hw*(X*) the Frechet space whose elements are the holomorphic functions defined on X* whose restrictions to each multiple mB(X*), m = 1,2, …, of the closed unit ball B(X*) of X* are continuous for the weak-star topology. A fundamental system of norms for this space is the supremum of the absolute value of each element of Hw*(X*) in mB(X*), m = 1,2,…. In this paper we construct the bidual of l1 when this space contains no copy of l1. We also show that if X is an Asplund space, then Hw*(X*) can be represented as the projective limit of a sequence of Banach spaces that are Asplund.

Communication Design for the Dissemination of Scientific Knowledge. Languages, Tools, Technologies, Collaborative Processes for Museum Education

2019

Il testo propone l’analisi di un articolato processo di ricerca-azione, avviato in occasione di alcune sperimentazioni didattico-scientifiche nate dalla collaborazione tra le discipline del design, della rappresentazione multimediale, delle scienze botaniche nell’Università di Palermo. L’esperienza proposta è stata centrata sulla comunicazione scientifica e sull’elaborazione di prodotti comunicativi per la didattica museale e istituzionale dell’Orto Botanico di Palermo. In quest’occasione sono stati sperimentati strumenti progettuali, tecnologie e modalità di espressione successivamente rielaborati anche in un progetto di sviluppo territoriale, che ha portato alla realizzazione del “Micromu…

A Test of the Relationship Between Argumentativeness and Individualism/Collectivism in the United States and Finland

2016

This study explored relationships between argumentativeness and collectivism/individualism in Finland and the United States. Data were gathered in the United States (n = 412) and Finland (n = 261). The analysis suggested: (a) collectivism was negatively correlated with argumentativeness, (b) individualism was positively correlated with argumentativeness, and (c) Finnish participants reported lower levels of argumentativeness than Americans. Cultural differences between the United States and Finland are discussed as reasons for the differences between the nations on argumentativeness.

CLIL and Literary Education: Teaching Foreign Languages and Literature from an Intercultural Perspective—The Results of a Case Study

2020

This article intends to explore the relationship between CLIL and literary education by considering the results of a case study involving the teaching of foreign literatures from an intercultural perspective in Italian secondary schools. In the first part we introduce a model of literary and intercultural communicative competence and in the second part we present a case study implemented in three secondary schools in Northern Italy. A qualitative research design was implemented and data were collected through interviews with teachers and questionnaires answered by students. The results revealed that while teachers focus on the intercultural dimension of literature only in terms of the expan…

Dimensiones y espacios electorales en las elecciones autonómicas vascas de 2012 y 2016

2018

En este artículo se analiza la incidencia de los principales cleavages –ideológico e identitario- presentes en la competición electoral vasca para las elecciones de 2012 y 2016, e intenta constituirse como una vía intermedia entre aquellos desarrollos teóricos que señalan la preeminencia de alguna de estas dimensiones de forma generalizada para todas las formaciones. Para ello abordamos los comicios a través de la teoría espacial del voto, mediante la utilización de modelos de regresión logística binaria. Esto nos ha permitido conocer el desigual peso otorgado por cada uno de los electorados de las diferentes formaciones políticos a estas fracturas centrales. Asimismo, para las elecciones d…