Search results for "BERT"

Integration of functions ranging in complex Riesz space and some applications in harmonic analysis

2015

The theory of Henstock—Kurzweil integral is generalized to the case of functions ranging in complex Riesz space R and defined on any zero-dimensional compact Abelian group. The constructed integral is used to solve the problem of recovering the R-valued coefficients of series in systems of characters of these groups by using generalized Fourier formulas.

Enantioselective Synthesis of Herbertane Sesquiterpenes. Synthesis of (−)-Herbertene and (−)-α-Herbertenol

2001

Herberta Cukura diskursīvās konstrukcijas Latvijas populārās kultūras tekstos

2016

Bakalaura darba „Herberta Cukura diskursīvās konstrukcijas Latvijas populārās kultūras tekstos” mērķis ir noskaidrot, kādas ir Herberta Cukura diskursīvās konstrukcijas analīzei izvēlētajos Latvijas populārās kultūras tekstos. Teorētisko pamatojumu veido trīs nodaļas. Pirmajā izklāstītas sociālā konstrukcionisma paradigmas, realitātes sociālās konstruēšanas un mediju konstruētās realitātes būtiskākās atziņas. Otrajā skaidrotas diskursa jēdziena izpratnes, kā arī piedāvāts teksta nozīmes diskursā raksturojums. Trešā veltīta populārajai kultūrai – skaidrots populārās kultūras jēdziens tā dažādajās izpratnēs un īsi raksturotas analizēto tekstu žanru īpatnības. Pētījuma metodoloģijā izmantots k…

A remarkable equality referring to spline functions in Hilbert spaces

2010

In the introduction of this paper is presented the definition of the generalized spline functions as solutions of a variational problem and are shown some theorems regarding to the existence and uniqueness. The main result of this article consists in a remarkable equality verified by the generalized spline elements, based on the properties of the spaces, operator and interpolatory set involved, which can be used as a characterization theorem of the generalized spline functions in Hilbert spaces.

Association Between Exercise and Pubertal BMD Is Modulated by Estrogen Receptor α Genotype

2003

Genetic and environmental factors contribute to bone mass, but the ways they interact remain poorly understood. This study of 245 pre- and early pubertal girls found that the PvuII polymorphism in the ER- gene modulates the effect of exercise on BMD at loaded bone sites. Introduction: Impaired achievement of bone mass at puberty is an important risk factor for the development of osteoporosis in later life. Genetic, as well as environmental, factors contribute to bone mass, but the ways they interact with each other remain poorly understood. Materials and Methods: We investigated the interaction between a PvuII polymorphism at the ER- gene and physical activity (PA) on the modulation of bone…

Schubert calculus and singularity theory

2010

Abstract Schubert calculus has been in the intersection of several fast developing areas of mathematics for a long time. Originally invented as the description of the cohomology of homogeneous spaces, it has to be redesigned when applied to other generalized cohomology theories such as the equivariant, the quantum cohomology, K -theory, and cobordism. All this cohomology theories are different deformations of the ordinary cohomology. In this note, we show that there is, in some sense, the universal deformation of Schubert calculus which produces the above mentioned by specialization of the appropriate parameters. We build on the work of Lerche Vafa and Warner. The main conjecture these auth…

U(N) tools for loop quantum gravity: the return of the spinor

2011

We explore the classical setting for the U(N) framework for SU(2) intertwiners for loop quantum gravity (LQG) and describe the corresponding phase space in terms of spinors with appropriate constraints. We show how its quantization leads back to the standard Hilbert space of intertwiner states defined as holomorphic functionals. We then explain how to glue these intertwiners states in order to construct spin network states as wave-functions on the spinor phase space. In particular, we translate the usual loop gravity holonomy observables to our classical framework. Finally, we propose how to derive our phase space structure from an action principle which induces non-trivial dynamics for the…

The cosmological constant problem in codimension-two brane models

2005

We discuss the possibility of a dynamical solution to the cosmological constant problem in the contaxt of six-dimensional Einstein-Maxwell theory. A definite answer requires an understanding of the full bulk cosmology in the early universe, in which the bulk has time-dependent size and shape. We comment on the special properties of codimension two as compared to higher codimensions.

Gravity, Non-Commutative Geometry and the Wodzicki Residue

1993

We derive an action for gravity in the framework of non-commutative geometry by using the Wodzicki residue. We prove that for a Dirac operator $D$ on an $n$ dimensional compact Riemannian manifold with $n\geq 4$, $n$ even, the Wodzicki residue Res$(D^{-n+2})$ is the integral of the second coefficient of the heat kernel expansion of $D^{2}$. We use this result to derive a gravity action for commutative geometry which is the usual Einstein Hilbert action and we also apply our results to a non-commutative extension which, is given by the tensor product of the algebra of smooth functions on a manifold and a finite dimensional matrix algebra. In this case we obtain gravity with a cosmological co…

Adiabatic expansions for Dirac fields, renormalization, and anomalies

2018

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