Search results for " Order"

Blends of Semiflexible Polymers: Interplay of Nematic Order and Phase Separation

2021

Mixtures of semiflexible polymers with a mismatch in either their persistence lengths or their contour lengths are studied by Density Functional Theory and Molecular Dynamics simulation. Considering lyotropic solutions under good solvent conditions, the mole fraction and pressure is systematically varied for several cases of bending stiffness κ (the normalized persistence length) and chain length N. For binary mixtures with different chain length (i.e., NA=16, NB=32 or 64) but the same stiffness, isotropic-nematic phase coexistence is studied. For mixtures with the same chain length (N=32) and large stiffness disparity (κB/κA=4.9 to 8), both isotropic-nematic and nematic-nematic unmixing oc…

Signal dimension estimation in BSS models with serial dependence

2022

Many modern multivariate time series datasets contain a large amount of noise, and the first step of the data analysis is to separate the noise channels from the signals of interest. A crucial part of this dimension reduction is determining the number of signals. In this paper we approach this problem by considering a noisy latent variable time series model which comprises many popular blind source separation models. We propose a general framework for the estimation of the signal dimension that is based on testing for sub-sphericity and give examples of different tests suitable for time series settings. In the inference we rely on bootstrap null distributions. Several simulation studies are…

Embodied and affective negotiation over spatial and epistemic group territories among school-children : (Re)producing moral orders in open learning e…

2022

This study investigates how schoolchildren organise their spatial and epistemic ‘territories’ among peer groups to constitute local social and moral orders in open learning environments. Open learning environments, the result of recent school reforms in Finland, challenge the conventional organisation of traditional classrooms. We use a microanalysis of naturally occurring video-recorded interactions to show the interactional dynamics of how children produce epistemic and spatial territories by creating moment-by-moment unfolding participation frameworks and emotional alliances. We suggest that the lack of institutional structures in open learning environments withholds children from the te…

3D-ORDERED NANOSCALE HETEROJUNCTIONS IN MOLECULAR THIN FILMS FOR ORGANIC PHOTOVOLTAICS

2011

An inverse problem for the minimal surface equation

2022

We use the method of higher order linearization to study an inverse boundary value problem for the minimal surface equation on a Riemannian manifold $(\mathbb{R}^n,g)$, where the metric $g$ is conformally Euclidean. In particular we show that with the knowledge of Dirichlet-to-Neumann map associated to the minimal surface equation, one can determine the Taylor series of the conformal factor $c(x)$ at $x_n=0$ up to a multiplicative constant. We show this both in the full data case and in some partial data cases.

Whitney forms and their extensions

2021

Whitney forms are widely known as finite elements for differential forms. Whitney’s original definition yields first order functions on simplicial complexes, and a lot of research has been devoted to extending the definition to nonsimplicial cells and higher order functions. As a result, the term Whitney forms has become somewhat ambiguous in the literature. Our aim here is to clarify the concept of Whitney forms and explicitly explain their key properties. We discuss Whitney’s initial definition with more depth than usually, giving three equivalent ways to define Whitney forms. We give a comprehensive exposition of their main properties, including the proofs. Understanding of these propert…

Systematic implementation of higher order Whitney forms in methods based on discrete exterior calculus

2022

AbstractWe present a systematic way to implement higher order Whitney forms in numerical methods based on discrete exterior calculus. Given a simplicial mesh, we first refine the mesh into smaller simplices which can be used to define higher order Whitney forms. Cochains on this refined mesh can then be interpolated using higher order Whitney forms. Hence, when the refined mesh is used with methods based on discrete exterior calculus, the solution can be expressed as a higher order Whitney form. We present algorithms for the three required steps: refining the mesh, solving the coefficients of the interpolant, and evaluating the interpolant at a given point. With our algorithms, the order of…

Pagaidu aizsardzības pret vardarbību tiesiskais regulējums

2017

Maģistra darbs “Pagaidu aizsardzības pret vardarbību tiesiskais regulējums” ir izstrādāts ar mērķi noskaidrot pagaidu aizsardzības pret vardarbību tiesiskā regulējuma būtību un lomu Latvijas kopējā preventīvo piespiedu līdzekļu sistēmā, identificējot tās cilvēka pamattiesības, kuras tiek aizsargātas vai skartas un ierobežotas, pagaidu aizsardzības pret vardarbību līdzekļu piemērošanas procesā. Lai sasniegtu darbā izvirzīto mērķi, ir veikta padziļināta analīze par spēkā esošo normatīvo aktu regulējumu, kas nosaka civiltiesiskā kārtībā piemērojamo aizsardzības līdzekļu veidus, to piemērošanas un izpildes kārtību, kā arī likumdevēja noteiktās sankcijas par piemērotā aizsardzības līdzekļa neiev…

A fuzzy approach to multidimensional material deprivation measurement: the case of foreigners living in Italy

2014

This paper provides a new approach to the measurement of multidimensional material deprivation, based on partial order theory and on fuzzy set measurement. The main feature of the methodology is that the information needed for the deprivation assessment is extracted directly from the relational structure of the dataset, avoiding any kind of scaling and not proper aggregation procedure, so as to respect the measurement level of the data. An empirical illustration, using data from a special EU-SILC survey on migrants in Italy, provides a new insight on the material deprivation of foreigners living in Italy

Monotone generalized nonlinear contractions and fixed point theorems in ordered metric spaces

2011

The purpose of this paper is to present some fixed point theorems for T -weakly isotone increasing mappings which satisfy a generalized nonlinear contractive condition in complete ordered metric spaces. As application, we establish an existence theorem for a solution of some integral equations.