Search results for "Frame"
showing 10 items of 1767 documents
Frame-related Sequences in Chains and Scales of Hilbert Spaces
2022
Frames for Hilbert spaces are interesting for mathematicians but also important for applications in, e.g., signal analysis and physics. In both mathematics and physics, it is natural to consider a full scale of spaces, and not only a single one. In this paper, we study how certain frame-related properties of a certain sequence in one of the spaces, such as completeness or the property of being a (semi-) frame, propagate to the other ones in a scale of Hilbert spaces. We link that to the properties of the respective frame-related operators, such as analysis or synthesis. We start with a detailed survey of the theory of Hilbert chains. Using a canonical isomorphism, the properties of frame se…
Frames and weak frames for unbounded operators
2020
In 2012 G\u{a}vru\c{t}a introduced the notions of $K$-frame and of atomic system for a linear bounded operator $K$ in a Hilbert space $\mathcal{H}$, in order to decompose its range $\mathcal{R}(K)$ with a frame-like expansion. In this article we revisit these concepts for an unbounded and densely defined operator $A:\mathcal{D}(A)\to\mathcal{H}$ in two different ways. In one case we consider a non-Bessel sequence where the coefficient sequence depends continuously on $f\in\mathcal{D}(A)$ with respect to the norm of $\mathcal{H}$. In the other case we consider a Bessel sequence and the coefficient sequence depends continuously on $f\in\mathcal{D}(A)$ with respect to the graph norm of $A$.
Genomic structure and functional characterization of the human ADAM10 promoter
2005
The ADAM10 gene encodes a membrane-bound disintegrin-metalloproteinase, which, after overexpression in an Alzheimer disease (AD) mouse model, prevents amyloid pathology and improves long-term potentiation and memory. Because enhancing ADAM10 expression appears to be a reasonable approach for treatment of AD, we functionally analyzed the ADAM10 gene. Both human and mouse ADAM10 genes comprise approximately 160 kbp, are composed of 16 exons, and are evolutionarily highly conserved within 500 bp upstream of either translation initiation site. By using luciferase reporter assays, we demonstrate that nucleotides -2179 to -1 upstream of the human ADAM10 translation initiation site represent a fun…
De la prohibición del terrorismo on-line : una reflexión constitucional
2021
The paper thinks out loud on the banning of the terrorist´s contents on the Internet, specifically within the international and national legal framework, with the interpretation given by the European Court´s of Human Right case-law and our Constitutional Court´s case-law.
Garantías legales del concepto de privacidad: Entre el derecho al olvido y el nuevo reglamento europeo de protección de datos
2018
The operation of new technologies and the supply of digital goods involves for users to disclose their personal data. The market data is already a reality with the danger that this entails for the privacy of citizens. The new General Data Protection Regulation has created a new legal framework that aims to radically change the current model, giving users greater powers to control their data. A good example of this is the express statement, and for the first time, of the right to be forgotten, which allows citizens to digitally erase their data when other fundamental rights are endangered.
Property and cross-border couples from the perspective of European regulation
2021
The family property regimes constitute a relevant sector of the EU regulatory framework strongly connected with fundamental rights policies. Family property offers specific issues which need to balance individual rights with general interests, especially in matter of real estate property. The fragmentation of the discipline in EU Family law, the diversity of the domestic rules regarding rights in rem requires a large use of flexibility from EU legislator and EU legal professionals. The discipline provides by EU Regulations 1103 and 1104/2016 could be an interesting example to manage cross-border couple?s interests: the principles of universality and unity have to be used appropriately and, …
La pena de trabajos forzados en los códigos penales decimonónicos
2018
This paper is an study about the penalty of forced labor, inside the historical and legal framework in which took place the criminal law codification of 19th century (Criminal Codes of 1822, 1848 and 1870) and the departure from the Criminal Law of Ancient Regime
Metal‐organic frameworks for new technological and environmental applications
2019
El trabajo descrito en la presente memoria esta dentro del campo de la Ciencia de los Materiales y la Química de Coordinación, ya que se centra en el diseño racional de nuevos materiales, en concreto, polímeros de coordinación porosos (PCPs), también llamados MOFs (del inglés, Metal-Organic Frameworks), y su uso en diversas aplicaciones de alto interés tecnológico y/o medioambiental. A pesar de que el interés de la comunidad científica en estos materiales empezó a principios de los años 90, sus fascinantes propiedades químicas y físicas han revolucionado la Ciencia de los Materiales, creciendo exponencialmente año tras año el número de MOFs reportados, así como el rango de aplicaciones de l…
ADO.NET objektu-relāciju kartēšanas modernizācija esošai sistēmai
2019
Industrijā joprojām tiek uzturētas .NET ietvarā veidotas sistēmas, kuru izstrāde tika uzsākta pirms vairāk kā 15 gadiem, kad vēl nebija pieejami dažādi ORM ietvaru risinājumi. Līdz ar to, izstrādātāji saskaras ar dažādām datu piekļuves slāņa problēmām - ierobežotu funkcionalitāti, apgrūtinātu sistēmas migrāciju uz jaunākiem ietvariem, drošības riskiem. u.c. Esošo risinājumu aizstāšana ar modernu ORM, ļautu šīs problēmas risināt. Bakalaura darba mērķis ir identificēt problēmas, kas rodas, aizstājot uz Microsoft ADO.NET bāzētu sistēmas datu piekļuves slāni ar Entity Framework ORM ietvaru, kā arī izpētīt migrācijas ieguvumus un trūkumus. Pētījuma rezultātā tika izstrādāta jauna datu piekļuves …
An improvement of ComiR algorithm for microRNA target prediction by exploiting coding region sequences of mRNAs
2020
AbstractMicroRNA are small non-coding RNAs that post-transcriptionally regulate the expression levels of messenger RNAs. MicroRNA regulation activity depends on the recognition of binding sites located on mRNA molecules. ComiR is a web tool realized to predict the targets of a set of microRNAs, starting from their expression profile. ComiR was trained with the information regarding binding sites in the 3’utr region, by using a reliable dataset containing the targets of endogenously expressed microRNA in D. melanogaster S2 cells. This dataset was obtained by comparing the results from two different experimental approaches, i.e., inhibition, and immunoprecipitation of the AGO1 protein--a comp…