A Cartan-Eilenberg approach to Homotopical Algebra

In this paper we propose an approach to homotopical algebra where the basic ingredient is a category with two classes of distinguished morphisms: strong and weak equivalences. These data determine the cofibrant objects by an extension property analogous to the classical lifting property of projective modules. We define a Cartan-Eilenberg category as a category with strong and weak equivalences such that there is an equivalence of categories between its localisation with respect to weak equivalences and the relative localisation of the subcategory of cofibrant objects with respect to strong equivalences. This equivalence of categories allows us to extend the classical theory of derived additive functors to this non additive setting. The main examples include Quillen model categories and categories of functors defined on a category endowed with a cotriple (comonad) and taking values on a category of complexes of an abelian category. In the latter case there are examples in which the class of strong equivalences is not determined by a homotopy relation. Among other applications of our theory, we establish a very general acyclic models theorem.

Deformation of Gabor systems

We introduce a new notion for the deformation of Gabor systems. Such deformations are in general nonlinear and, in particular, include the standard jitter error and linear deformations of phase space. With this new notion we prove a strong deformation result for Gabor frames and Gabor Riesz sequences that covers the known perturbation and deformation results. Our proof of the deformation theorem requires a new characterization of Gabor frames and Gabor Riesz sequences. It is in the style of Beurling's characterization of sets of sampling for bandlimited functions and extends significantly the known characterization of Gabor frames 'without inequalities' from lattices to non-uniform sets.

Highly eccentric hip-hop solutions of the 2N

We show the existence of families of hip-hop solutions in the equal-mass 2N-body problem which are close to highly eccentric planar elliptic homographic motions of 2N bodies plus small perpendicular non-harmonic oscillations. By introducing a parameter ϵ, the homographic motion and the small amplitude oscillations can be uncoupled into a purely Keplerian homographic motion of fixed period and a vertical oscillation described by a Hill type equation. Small changes in the eccentricity induce large variations in the period of the perpendicular oscillation and give rise, via a Bolzano argument, to resonant periodic solutions of the uncoupled system in a rotating frame. For small ϵ ≠ 0, the topological transversality persists and Brouwer's fixed point theorem shows the existence of this kind of solutions in the full system

Bias and standard error for social reciprocity measurements

The directional consistency and skew-symmetry statistics have been proposed as global measurements of social reciprocity. Although both measures can be useful for quantifying social reciprocity, researchers need to know whether these estimators are biased in order to assess descriptive results properly. That is, if estimators are biased, researchers should compare actual values with expected values under the specified null hypothesis. Furthermore, standard errors are needed to enable suitable assessment of discrepancies between actual and expected values. This paper aims to derive some exact and approximate expressions in order to obtain bias and standard error values for both estimators for round-robin designs, although the results can also be extended to other reciprocal designs.

New approximation to the third-order density : application to the calculation of correlated multicenter indices

In this work we present the formulas for the calculation of exact three-center electron sharing indices (3c-ESI) and introduce two new approximate expressions for correlated wave functions. The 3c-ESI uses the third-order density, the diagonal of the third-order reduced density matrix, but the approximations suggested in this work only involve natural orbitals and occupancies. In addition, the first calculations of 3c-ESI using Valdemoro's, Nakatsuji's and Mazziotti's approximation for the third-order reduced density matrix are also presented for comparison. Our results on a test set of molecules, including 32 3c-ESI values, prove that the new approximation based on the cubic root of natural occupancies performs the best, yielding absolute errors below 0.07 and an average absolute error of 0.015. Furthemore, this approximation seems to be rather insensitive to the amount of electron correlation present in the system. This newly developed methodology provides a computational inexpensive method to calculate 3c-ESI from correlated wave functions and opens new avenues to approximate high-order reduced density matrices in other contexts, such as the contracted Schrödinger equation and the anti-Hermitian contracted Schrödinger equation

New design of the frame for a permanent magnet generator

This thesis introduces a search for a new design of the frame for a permanent magnet generator mounted at a windmill. The objective of this work is to offer new design ideas for the stator frame - new concepts for connecting stator core to stator frame in a generator. Desired aims of new design concepts are: simplification of the structure production; decrease of material use; use of standard components; light weight of construction and etc. Thesis contains several new possible designs for the stator frame structure. Also, it has a list of possible connection concepts, which can be used to join the stator to the frame. All new ideas are described and compared according to its match to the desired purposes of the work. New design concepts are modeled using modern software. The main part of the Thesis contains several approximate computer models of the current and new offered constructions, description of loads and stress in the current stator frame. It has evaluation of the most important stress and load characteristics. The final design is a result of all previous research. It has a description of a new frame structure and joining concept for it. This structure matched main aims of work, but it does not have detailed design with dimensions and check calculations of the frame and welds. Thesis gives representation about design search, evaluation and comparison of new concepts of generator structure. Also, it gives general representation of renewable energy technology, knowledge about windmill turbines and its contents.

Indirect likelihood inference (revised)

Standard indirect Inference (II) estimators take a given finite-dimensional statistic, Z_{n} , and then estimate the parameters by matching the sample statistic with the model-implied population moment. We here propose a novel estimation method that utilizes all available information contained in the distribution of Z_{n} , not just its first moment. This is done by computing the likelihood of Z_{n}, and then estimating the parameters by either maximizing the likelihood or computing the posterior mean for a given prior of the parameters. These are referred to as the maximum indirect likelihood (MIL) and Bayesian Indirect Likelihood (BIL) estimators, respectively. We show that the IL estimators are first-order equivalent to the corresponding moment-based II estimator that employs the optimal weighting matrix. However, due to higher-order features of Z_{n} , the IL estimators are higher order efficient relative to the standard II estimator. The likelihood of Z_{n} will in general be unknown and so simulated versions of IL estimators are developed. Monte Carlo results for a structural auction model and a DSGE model show that the proposed estimators indeed have attractive finite sample properties.

Desenvolupament d'una aplicació per a la creació de pressupostos on-line

En aquests moments, el mercat no es troba en una bona situació, per aquest motiu les empreses han de buscar noves maneres de créixer, expandir-se i noves formes d’interactuar amb els clients. La idea original d’aquest projecte sorgeix de la necessitat de disposar d’una manera diferent de promocionar-se i oferir nous serveis a través d’internet mitjançant una pàgina web. Degut a la situació actual, el preu és un aspecte molt important i influent a l’hora de realitzar una obra. Per aquest motiu es va pensar que seria molt interessant que el client pogués demanar de forma fàcil i ràpida un pressupost, i a l’instant tingués un preu orientatiu del que li pot costar la obra. D’aquesta manera l’interessat s’estalvia i agilitza molts passos previs abans de començar una obra. Després d’analitzar quina era la millor manera de portar a terme el projecte informàtic, s’ha determinat que la pàgina web es desenvoluparà utilitzant els llenguatges HTML i PHP combinant-lo amb el framework CodeIgniter. El disseny de la web es realitzarà mitjançant fulles d’estil CSS conjuntament amb el framework BootStrap. Per realitzar l’aplicació web que realitza els pressupostos s’utilitzarà AJAX i jQuery perquè d’aquesta manera el procés sigui dinàmic. L’entorn de desenvolupament escollit és el NetBeans i per provar el projecte s’utilitza el XAMPP. Un usuari només necessitarà un navegador i connexió a internet per fer servir totes les funcions de la web. Podrà realitzar pressupostos, concertar visites, contactar i per suposat veure tota la part informativa de la pàgina

Use of neural networks in robot positioning of large flexible redundant manipulators

Deflection compensation of flexible boom structures in robot positioning is usually done using tables containing the magnitude of the deflection with inverse kinematics solutions of a rigid structure. The number of table values increases greatly if the working area of the boom is large and the required positioning accuracy is high. The inverse kinematics problems are very nonlinear, and if the structure is redundant, in some cases it cannot be solved in a closed form. If the structural flexibility of the manipulator arms is taken into account, the problem is almost impossible to solve using analytical methods. Neural networks offer a possibility to approximate any linear or nonlinear function. This study presents four different methods of using neural networks in the static deflection compensation and inverse kinematics solution of a flexible hydraulically driven manipulator. The training information required for training neural networks is obtained by employing a simulation model that includes elasticity characteristics. The functionality of the presented methods is tested based on the simulated and measured results of positioning accuracy. The simulated positioning accuracy is tested in 25 separate coordinate points. For each point, the positioning is tested with five different mass loads. The mean positioning error of a manipulator decreased from 31.9 mm to 4.1 mm in the test points. This accuracy enables the use of flexible manipulators in the positioning of larger objects. The measured positioning accuracy is tested in 9 separate points using three different mass loads. The mean positioning error decreased from 10.6 mm to 4.7 mm and the maximum error from 27.5 mm to 11.0 mm.

Animal sound : què se sent quan s’és una cabra?

Aquest projecte treballa sobre la possibilitat d'aplicar tècniques d'enregistrament binaural en animals, en concret, en una cabra domèstica. Mitjançant uns micròfons col·locats dins les seves orelles i una petita càmera de vídeo muntada sobre el seu cap, s'obté un material audiovisual que permet fer-se una idea aproximada de com és la seva percepció del món. En base a un estudi de cognició comparada, es pretén trobar maneres de transformar els enregistraments obtinguts per tal d'adaptar el marc psicoacústic humà al de l'animal. L'objectiu és que una persona pugui sentir com ho fa un animal, encara que sigui d'una manera aproximada. Els materials obtinguts al llarg dels enregistraments són el punt de partida per a la construcció de paisatges sonors i peces audiovisuals diverses. Així doncs, el treball s'inicia amb el disseny i construcció d'un micròfon binaural, continua amb enregistraments de camp en animals i acaba amb l'edició, el processat i la composició dels paisatges sonors finals.

Parametric sensitivity analysis for the helium dimers on a model potential

Potential parameters sensitivity analysis for helium unlike molecules, HeNe, HeAr, HeKr and HeXe is the subject of this work. Number of bound states these rare gas dimers can support, for different angular momentum, will be presented and discussed. The variable phase method, together with the Levinson's theorem, is used to explore the quantum scattering process at very low collision energy using the Tang and Toennies potential. These diatomic dimers can support a bound state even for relative angular momentum equal to five, as in HeXe. Vibrational excited states, with zero angular momentum, are also possible for HeKr and HeXe. Results from sensitive analysis will give acceptable order of magnitude on potentials parameters.