Search results for "funktio"

Maximal function estimates and self-improvement results for Poincaré inequalities

2018

Our main result is an estimate for a sharp maximal function, which implies a Keith–Zhong type self-improvement property of Poincaré inequalities related to differentiable structures on metric measure spaces. As an application, we give structure independent representation for Sobolev norms and universality results for Sobolev spaces. peerReviewed

Density-Functional Theory on Graphs

2021

The principles of density-functional theory are studied for finite lattice systems represented by graphs. Surprisingly, the fundamental Hohenberg–Kohn theorem is found void, in general, while many insights into the topological structure of the density-potential mapping can be won. We give precise conditions for a ground state to be uniquely v-representable and are able to prove that this property holds for almost all densities. A set of examples illustrates the theory and demonstrates the non-convexity of the pure-state constrained-search functional. peerReviewed

Puuttuvuuden mallintaminen FINRISKI-tutkimuksessa

2017

Puuttuva tieto on ongelma terveystutkimuksissa, koska tutkimukseen osallistujat ja ei-osallistujat usein eroavat toisistaan. Puuttuvuuden mallintaminen on tärkeää, jotta tuloksia pystyttäisiin korjaamaan ja jatkossa ottamaan mallinnettu puuttuvuus paremmin huomioon tutkimusta suunnitellessa. Myös Kansallinen FINRISKI-tutkimus kärsii puuttuvuudesta, sillä tutkimuksen osallistumisprosentti on laskenut jatkuvasti. Tutkimus on Terveyden ja hyvinvoinnin laitoksen väestötutkimussarja, jonka tavoitteena on seurata kansantauteja ja niiden riskitekijöitä Suomessa sekä tarkkailla suomalaisten terveydentilaa. Tässä työssä pyritään mallintamaan Kansallisen FINRISKI-tutkimuksen puuttuvuus tarkastelemall…

Universal infinitesimal Hilbertianity of sub-Riemannian manifolds

2019

We prove that sub-Riemannian manifolds are infinitesimally Hilbertian (i.e., the associated Sobolev space is Hilbert) when equipped with an arbitrary Radon measure. The result follows from an embedding of metric derivations into the space of square-integrable sections of the horizontal bundle, which we obtain on all weighted sub-Finsler manifolds. As an intermediate tool, of independent interest, we show that any sub-Finsler distance can be monotonically approximated from below by Finsler ones. All the results are obtained in the general setting of possibly rank-varying structures.

A short proof of the infinitesimal Hilbertianity of the weighted Euclidean space

2020

We provide a quick proof of the following known result: the Sobolev space associated with the Euclidean space, endowed with the Euclidean distance and an arbitrary Radon measure, is Hilbert. Our new approach relies upon the properties of the Alberti-Marchese decomposability bundle. As a consequence of our arguments, we also prove that if the Sobolev norm is closable on compactly-supported smooth functions, then the reference measure is absolutely continuous with respect to the Lebesgue measure.

The Diccionario Inglés-Español de Contabilidad: Traducción and the Diccionario Inglés-Español de Contabilidad: Traducción de Frases y Expresiones: Tw…

2014

This paper focuses on the role dictionaries play in a translation situation. This role is analysed in terms of the tenets of the Function Theory of Lexicography, which proposes that users do not have needs in general but punctual needs in specific situations. For example, translators of accounting texts need insertable equivalents whose meanings and language behaviour are clearly described. Furthermore, translators also need contextual data on domain-specific consensual usage. The construction of the Accounting Dictionaries and Diccionarios de Contabilidad reveals that the Function Theory offers theoretical and practical solutions for constructing dictionaries that target user needs in a pr…

Passiivin persoona ja funktiot yleisönosastokirjoituksissa

2004

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

Tailoring oxide properties: An impact on adsorption characteristics of molecules and metals

2014

Abstract Both density functional theory calculations and numerous experimental studies demonstrate a variety of unique features in metal supported oxide films and transition metal doped simple oxides, which are markedly different from their unmodified counterparts. This review highlights, from the computational perspective, recent literature on the properties of the above mentioned surfaces and how they adsorb and activate different species, support metal aggregates, and even catalyse reactions. The adsorption of Au atoms and clusters on metal-supported MgO films are reviewed together with the cluster׳s theoretically predicted ability to activate and dissociate O 2 at the Au–MgO(100)/Ag(100…

Virkakieltä verkossa : miten Kela lähestyy asiakasta?

2011

Julkishallinnon organisaatioiden käyttämä virkakieli on tärkeä yhteiskunnallisen viestinnän ja hallinnon asiakassuhteiden ylläpidon väline. Virkakieltä on huollettu Suomessa jo pitkään, mutta silti kielenhuoltajat tunnistavat siinä edelleen huomattavia ongelmia, jotka haittaavat hallinnon ja sen asiakkaiden välistä viestintää. Hallinnon tehtävänä on palvella yhteiskuntaa ja asiakkaitaan, joten sen kielenkäytöllä on merkitystä. Hallinnon kielenkäyttöä ohjeistetaan muun muassa lainsäädännöllä. Tässä tutkimuksessa tarkastelen keskeisen valtionhallinnon toimijan Kansaneläkelaitoksen, Kelan, verkkosivustolla käytettyä kieltä. Selvitän, miten Kela kielenkäytössään lähestyy asiakasta, miten se tuo…