In this report we survey some recent developments of relationship between Hausdorff moment sequences and subnormality of an unilateral weighted shift operator. Although discrete convolution of two Haudorff moment sequences may not be a Hausdorff moment sequence, but Hausdorff convolution of two moment sequences is always a moment sequence. Observing from the Berg and Dur´an result that the multiplication operator on Is subnormal, we discuss further work on the subnormality of the multiplication operator on a reproducing kernel Hilbert space, whose kernel is a point-wise product of two diagonal positive kernels. The relationship between infinitely divisible matrices and moment sequence is discussed and some open problems are listed.

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The objektive of this thesis is acquaint with ways of speed sensing and torque noment sensing in automated systems and apply to chosen instruments to the real laboratory work, witch sould by instrumental for education in laboratory of drives.

This diploma thesis is concerned with selecting the appropriate method for determining the moment of inertia to the vertical, lateral and longitudinal axis through the centre of gravity of the vehicle. Using the special mechanical device, constructed on IAE was carried out repeated measurements of known mass properties in each axis. With the aid of obtained data was calculated measurement error. To compare the resulting values was created MBS model.

This diploma thesis deals with measurement of vehicle centre of gravity height position. In the first part is created summary of methods used for measuring centre of gravity position and moment of inertia of the vehicle. In the other parts are designed and analyzed two dynamics method of measuring centre of gravity height position. This thesis presents analysis of the errors of the proposed methods, results of measurements and design of the construct adjustments device for measuring of the moments of inertia enabling its used for measuring centre of gravity height position. Some components are through analyse of tension.

Diploma thesis deals with detection of torsional stiffness with using photogrammetric equipment TRITOP device and subsequent comparison with created computational model in FEM software. Measurement and calculations were accomplished according to tutorials, which are the most effective and giving the most accurate results. Next the optional method of measurement of torsional stiffness in practice is formed for future formula series called Dragon. The reasons of different results and suggestion of optimalization are sum up in the end of the thesis.

La mesure des moments magnétiques nucléaires est d'une grande importance pour bien comprendre la structure nucléaire. Le moment magnétique est sensible à la nature de la particule indépendante. Le développement des faisceaux radioactifs permet aujourd'hui d'étudier les spins nucléaires et les moments de noyaux exotiques éloignés de la ligne de stabilité. Cependant, la mesure des moments magnétiques des noyaux radioactifs nécessite le développement des nouvelles méthodes fiables. Le développement réussi de telles méthodes ouvrirait la possibilité de découvrir de nouveaux phénomènes de structure nucléaire. L'étude présentée dans cette thèse est formée de deux expériences. La première expérience a été réalisée à ALTO à Orsay, en France. L'une des principales exigences pour mesurer un moment magnétique nucléaire est de produire un ensemble avec des spins orientés. Ce dernier peut être produit par un mécanisme de réaction approprié et une interaction de spin nucléaire avec le milieu environnant. Le degré d'orientation dépend du processus de formation et du mécanisme de réaction. Le but de cette première expérience était d’étudier le niveau d’orientation du spin nucléaire dans un mécanisme de réaction de fusion incomplète. Le résultat de l'expérience démontre la possibilité d'obtenir un alignement du spin dans une réaction de fusion incomplète d'un ordre de 20%. Ce mécanisme de réaction, avec une telle quantité d’alignement de spin, a le potentiel d’étudier la région riche en neutrons avec des faisceaux radioactifs. La deuxième expérience, et l'essentiel de la thèse, a été réalisée à HIE-ISOLDE au CERN. Cette expérience visait à obtenir des informations de haute précision sur le facteur g d’un état de courte durée. Une nouvelle méthode TDRIV (Time-Differential Recoil In Vacuum) a été appliquée pour la première fois avec des faisceaux radioactifs post-accélérés. La mesure du facteur g était réalisée pour le premier état excité dans un noyau de ²⁸Mg (Eₓ = 1474 (1) keV, T₁/₂ = 1,2 (1) ps). / Knowledge of the nuclear magnetic moments is of great importance to get a clear understanding of nuclear structure. The magnetic moment is sensitive to the single-particle nature of the valence nucleons. The development of radioactive beam facilities allows nowadays studying nuclear spins and moments of exotic nuclei which are far from the stability line. However, the measurement of magnetic moments of exotic nuclei produced as radioactive beams requires the development of reliable methods. Successful development of such methods would open up the possibility to discover new nuclear structure phenomena. The study outlined in this thesis is formed by two experiments. The first experiment was performed at ALTO facility in Orsay, France. One of the main requirements in order to measure a nuclear magnetic moment is to produce a spin-oriented ensemble. The latter can be produced by suitable reaction mechanism and nuclear spin interaction with the surrounding environment. The degree of the orientation depends on the formation process and reaction mechanism. The aim of this first experiment was investigating the level of nuclear spin orientation in incomplete fusion reaction mechanism. Two reaction channels were studied, the isomeric states in ⁶⁵mNi (I = 9/2⁺, Eₓ = 1017 keV, T₁/₂ = 26 ns), and ⁶⁶mCu (I = 6⁻, Eₓ = 563 keV, T₁/₂= 600 ns) with Time-Dependent Perturbed Angular Distribution (TDPAD) method. The result of the experiment demonstrates the possibility of obtaining spin alignment in incomplete fusion reaction of an order of 20%. This reaction mechanism, with such an important amount of spin alignment has potential near radioactive beam facilities to study the neutron-rich region with inverse kinematics reactions. The second experiment, and the main part of the thesis was performed at HIE-ISOLDE at CERN. This experiment aimed to obtain high precision g-factor information on a short-lived picosecond state. A new Time Differential Recoil-In-Vacuum (TDRIV) method was applied for the first time using post-accelerated radioactive beams. The g-factor measurement was performed for the first-excited state in ²⁸Mg nucleus (Eₓ = 1474(1) keV, T₁/₂ = 1.2(1) ps). Since the lifetime of the state is of the order of picoseconds, its g-factor can be measured only via the spin precession of the nucleus in an extremely strong magnetic field (kT). Such fields can only be produced at the nucleus by hyperfine interactions. In order to obtain a high precision on a g-factor measurement, a TDRIV calibration experiment was performed with a stable ²²Ne beam. This run allowed testing the system under the same conditions as with radioactive²⁸Mg beam. In addition, using the known g-factor of the first-excited state in ²²Ne allows to determine the absolute target-to-degrader distance so that to decrease the uncertainty and obtain a high precision g-factor measurement. The obtained calibration parameters from the ²²Ne data will be used in the determination of g-factor of ²⁸Mg.

Objective: To broaden the understanding of Swedish psychology student’s psychological health. Issue: Is there psychological illness in terms of self rated anxiety, among the psychology student at Linnaeus University? Are there correlations between self rated anxiety, perfectionistic personality traits and/or educational elements?  Method: A cross-sectional study of  psychology students (N = 65). The participants were recruited via the social media Facebook, and answered an anonymous web survey consisting of Depression Anxiety Stress Scales (DASS-21) and Clinical Perfectionism Questionnaire (CPQ). The participants were divided into two groups based on whether they had clinical (N=19) or theoretical (N=46) elements in their current education. Correlation analysis and ancova were executed in order to answer the issue. Results: Anxiety and perfectionism correlated positively (p=.000). Anxiety correlated positively with theoretical elements (p=.000) but not with clinical educational elements. Perfectionism and anxiety correlated positively during theoretical educational elements p=.007). Conclusion: The results indicate that higher perfectionism can correlate with higher levels of anxiety. It indicates that the perfectionism might have clinical properties. The students' results in relation to educational elements indicate that the participants had rated lower levels of anxiety during the clinical elements of the education. The study was limited in that it did not look into gender identification or underlying causes of non-response, and a small sample with large non-response bias (57%). The limitations mean that the results were not generalisable.

Fluorescent proteins (FPs) are the workhorses of biological molecular imaging. Important imaging modalities (such as polarization microscopy or FRET imaging) exploit anisotropic optical properties of fluorescent proteins. In this thesis, we present the results of our polarization microscopy and X-ray diffraction experiments on FP crystals, as well as mathematical interpretation of these results, yielding information on the directionality of one- and two-photon absorption within the investigated fluorescent protein molecules. For the anisotropy of one-photon absorption, we determine the transition dipole moment (TDM) orientations in three representative fluorescent proteins. Validation with available quantum mechanical predictions values and an experimentally determined TDM orientation of the GFP gives confidence to the results obtained. For the two-photon absorption, we first test our hypothesis that two-photon absorptivity tensors of representative FPs exhibit vector-like behaviour and then examine the applicability of this simplification as a basis for the interpretation of our two-photon polarization microscopy data.

Les travaux de recherche documentés dans cette thèse s'inscrivent dans le cadre de la Collaboration UA9 au CERN. L'objectif principal de la collaboration est l'étude de la collimation et de l'extraction de faisceaux de particules de haute énergie. La thèse est principalement consacrée au développement des détecteurs et aux installations expérimentales correspondantes qui ont été mises en œuvre au SPS et au LHC au CERN. En ce qui concerne la nature de l'interaction des particules chargées avec une structure monocristalline, un cristal courbé peut être utilisé pour orienter le faisceau de particules de haute énergie au moyen de la canalisation de particules entre les plans atomiques du cristal. Un tel phénomène est étudié de manière approfondie par la Collaboration UA9. Un des principaux objectifs de la recherche présentée dans cette thèse est de développer des dispositifs sensibles pour mesurer le flux et les caractéristiques de faisceau des particules déviées par le cristal au SPS et au LHC. Pour cette thèse nous avons étudié les détecteurs Cherenkov (CpFM) et les détecteurs à pixel (Timepix). Depuis 2015, le CpFM (détecteur de Cherenkov pour la mesure du flux de protons) a été souvent modifié afin d'améliorer la précision pour le comptage des particules. La plage de fonctionnement du dispositif varie de 1 à 1000 particules par faisceau de particules (~3 ns) avec une résolution inférieure à 20% par proton. Fonctionnant dans le vide primaire de l’accélérateur et à des doses de rayonnement élevées, le détecteur a montré une grande stabilité et ayant la possibilité d’effectuer des études de contamination par faisceau. À son tour, le détecteur Timepix a été étalonné sur la ligne de faisceaux d'extraction de l'accélérateur SPS, fonctionnant dans le vide secondaire (Roman Pot). Une partie importante de la thèse est consacrée à la caractérisation et à l'étalonnage de ces détecteurs avec les développements des logiciels pour l'acquisition et l'analyse de données. Dans cette thèse, nous proposons également la mesure du moment dipolaire magnétique (MDM) de baryons à courte durée de vie. Le MDM est une caractéristique importante de l'interaction des particules avec un champ magnétique externe. Pour cette thèse, nous nous concentrons sur la mesure le MDM du baryon LambdaC+, qui pourrait fournir des informations sur le facteur gyromagnétique (g) du quark charme. Une valeur différente de g=2 indiquera une structure composite possible du c-quark et clairement la présence de physique au-delà du Modèle Standard (SM). Jusqu'ici, aucune mesure expérimentale du moment dipolaire magnétique des baryons avec des quarks lourds n'a été effectuée en raison d'une courte durée de désintégration de ces particules (environ 60 um). La proposition faite dans cette thèse est de produire des baryons charmés par interaction forte entre les protons extraits (à l’aide d’un premier cristal courbé) et une cible. Après la cible, un deuxième cristal courbé à grand angle (de plusieurs mrad) est utilisé pour canaliser les baryons et induire une rotation du vecteur de polarisation des baryons charmés. Cette configuration s'appelle une configuration à double cristal et l'expérience est proposée au LHC. Dans cette thèse, je me suis concentré principalement sur tous les tests et la validation nécessaires au SPS avant la mise en œuvre au LHC. Une configuration expérimentale possible pour les mesures MDM au niveau du SPS est également proposée avec une estimation de l'erreur absolue de la valeur mesurée du facteur g pour le baryon LambdaC+. / The research work documented in this thesis is done in a frame of the UA9 Collaboration at CERN. The main goal of the collaboration is the investigation of the high-energy particle beam collimation and extraction. The thesis is mainly devoted to the developments of detectors and the consequent experimental setups implemented at the SPS or LHC circulating machines at CERN. Regarding the nature of the charged particle interaction with a monocrystalline structure, a curved crystal can be used for the steering of the high-energy particle beam by means of the particle channeling between atomic planes of the crystal. Such a phenomenon is intensively studied by the UA9 Collaboration. Therefore, one of the main goals of the presented research is to develop sensitive devices for measuring the flux and the beam characteristics of the particles deflected by the crystal at the circulating machines. The detectors studied for this thesis are Cherenkov (CpFM) and pixel (Timepix). Since 2015, the CpFM (Cherenkov detector for proton Flux Measurement) has undergone various modifications to improve the particle counting characteristics. The range of the device operation varies from 1 to 1000 particles per bunch (~3 ns) with the particle resolution of less than 20% per single proton. Working in the primary vacuum of the accelerator and at high radiation doses, the detector showed high stability with the possibility to perform beam contamination studies. In turn, the Timepix detector has been calibrated at the extraction beamline and SPS accelerator, working in the secondary vacuum of the Roman Pot. A significant part of the thesis is devoted to the characterization and calibration of these detectors with the software developments for data acquisition and analysis. In this thesis, we also make a proposal for the measurement of the magnetic dipole moment (MDM) of short-lived baryons. The MDM is an important characteristic of the particle interaction with an external magnetic field. For the thesis, we concentrate on the measurement of the LambdaC+ MDM, which could provide information on the gyromagnetic (g) factor of the charm quark. Any discrepancy from g=2 will indicate a possible composite structure of the c-quark and clearly physics beyond the Standard Model (SM). So far, no experimental measurements of this value of baryons with heavy flavoured quarks have been carried out due to a short decay length of these particles (about 60 um). The proposal made in this thesis is to produce charm baryons by a strong interaction of the extracted proton beam (using a first bent crystal) impinging onto a target followed by the second large angle bent crystal (of several mrad) to channel the baryons and to rotate their polarization vector. This configuration is called a double-crystal setup and the experiment is proposed to take place at the LHC. In this thesis, I concentrate mainly on all the tests and validation needed at the SPS prior to the implementation at the LHC. A possible experimental configuration for the MDM measurements at the SPS is also proposed with an estimation of the absolute error of the measured g-factor value for the LambdaC+ baryon.