Search results for "75"

Psychometric Properties of the Brazilian Version of GOHAI among Community-Dwelling Elderly People

2022

This study assessed the psychometric properties of the Brazilian version of the Geriatric Oral Health Assessment Index (GOHAI). A representative sample of 613 community-dwelling elderly people aged from 65 to 74 years was selected. Sociodemographic data, GOHAI and self-perceived oral health measures were collected. Dental clinical measures were obtained through oral examinations. The dimensional structure and adequacy of components were assessed using Confirmatory Factor Analysis (CFA), inter-item correlations and item–scale correlations. Reliability was evaluated by internal consistency and Intraclass Correlation Coefficients. Correlations between GOHAI scores and self-reported oral …

Measures with predetermined regularity and inhomogeneous self-similar sets

2016

We show that if $X$ is a uniformly perfect complete metric space satisfying the finite doubling property, then there exists a fully supported measure with lower regularity dimension as close to the lower dimension of $X$ as we wish. Furthermore, we show that, under the condensation open set condition, the lower dimension of an inhomogeneous self-similar set $E_C$ coincides with the lower dimension of the condensation set $C$, while the Assouad dimension of $E_C$ is the maximum of the Assouad dimensions of the corresponding self-similar set $E$ and the condensation set $C$. If the Assouad dimension of $C$ is strictly smaller than the Assouad dimension of $E$, then the upper regularity dimens…

A proof of Carleson's $\varepsilon^2$-conjecture

2019

In this paper we provide a proof of the Carleson $\varepsilon^2$-conjecture. This result yields a characterization (up to exceptional sets of zero length) of the tangent points of a Jordan curve in terms of the finiteness of the associated Carleson $\varepsilon^2$-square function.

Formations of Monoids, Congruences, and Formal Languages

2015

The main goal in this paper is to use a dual equivalence in automata theory started in [25] and developed in [3] to prove a general version of the Eilenberg-type theorem presented in [4]. Our principal results confirm the existence of a bijective correspondence between three concepts; formations of monoids, formations of languages and formations of congruences. The result does not require finiteness on monoids, nor regularity on languages nor finite index conditions on congruences. We relate our work to other results in the field and we include applications to non-r-disjunctive languages, Reiterman s equational description of pseudovarieties and varieties of monoids.

Improved Bounds for Hermite–Hadamard Inequalities in Higher Dimensions

2019

Let $\Omega \subset \mathbb{R}^n$ be a convex domain and let $f:\Omega \rightarrow \mathbb{R}$ be a positive, subharmonic function (i.e. $\Delta f \geq 0$). Then $$ \frac{1}{|\Omega|} \int_{\Omega}{f dx} \leq \frac{c_n}{ |\partial \Omega| } \int_{\partial \Omega}{ f d\sigma},$$ where $c_n \leq 2n^{3/2}$. This inequality was previously only known for convex functions with a much larger constant. We also show that the optimal constant satisfies $c_n \geq n-1$. As a byproduct, we establish a sharp geometric inequality for two convex domains where one contains the other $ \Omega_2 \subset \Omega_1 \subset \mathbb{R}^n$: $$ \frac{|\partial \Omega_1|}{|\Omega_1|} \frac{| \Omega_2|}{|\partial \Ome…

Sharp estimate on the inner distance in planar domains

2020

We show that the inner distance inside a bounded planar domain is at most the one-dimensional Hausdorff measure of the boundary of the domain. We prove this sharp result by establishing an improved Painlev\'e length estimate for connected sets and by using the metric removability of totally disconnected sets, proven by Kalmykov, Kovalev, and Rajala. We also give a totally disconnected example showing that for general sets the Painlev\'e length bound $\kappa(E) \le\pi \mathcal{H}^1(E)$ is sharp.

Dynamics of the scenery flow and geometry of measures

2015

We employ the ergodic theoretic machinery of scenery flows to address classical geometric measure theoretic problems on Euclidean spaces. Our main results include a sharp version of the conical density theorem, which we show to be closely linked to rectifiability. Moreover, we show that the dimension theory of measure-theoretical porosity can be reduced back to its set-theoretic version, that Hausdorff and packing dimensions yield the same maximal dimension for porous and even mean porous measures, and that extremal measures exist and can be chosen to satisfy a generalized notion of self-similarity. These are sharp general formulations of phenomena that had been earlier found to hold in a n…

Quasispheres and metric doubling measures

2018

Applying the Bonk-Kleiner characterization of Ahlfors 2-regular quasispheres, we show that a metric two-sphere $X$ is a quasisphere if and only if $X$ is linearly locally connected and carries a weak metric doubling measure, i.e., a measure that deforms the metric on $X$ without much shrinking.

Zvaigžņotā Debess: 2001, Vasara (172)

2001

Contents: U.Dzērvītis. Sensational Discovery in Experimental Physics ; G.Rozenfelds. Solar Eclipse in Kamishin ; Z.Alksne, A.Alksnis. Search for Exsoplanets: Success and Complications ; Z.Alksne. A Star is Growing in a Bok Globule ; A.Balklavs. Observation of an Interesting Object by Cosmic Radio Interferometer ; A.Balklavs. HALCA – Step in Space Radio Interferometry ; T.Czarnik. Physiological Adaptation to Weightlessness ; Ilgonis Vilks. Spaceflight. Period of Great Success (1961-1973) (concluded) ; Ilgonis Vilks. Spaceflight. Almost Everyday Life (1973-2000) ; V.Straupe. About Astronomy in One of the Biggest Museum of Natural Sciences ; Imants Vilks. Contemporary Science on Eternal Life ;…

Gralla de bec vermell = Chova piquirroja

Altres noms vulgars: Red-billed Chough (Anglès), Crave à bec rouge (Francès), Alpenkrähe (Alemany) Gabinet de Vertebrats (Departament de Zoologia), Facultat de Ciències Biològiques (Campus de Burjassot), C/ Doctor Moliner, s/n, Bloque B. 5é plant, Burjassot (Valencia). Armari: 23-2 Cartagena _