This thesis summarises the author's results in representation theory of rings and schemes, obtained with several collaborators. First, we show that for a quasicompact semiseparated scheme X, the derived category of very flat quasicoherent sheaves is equivalent to the derived category of flat quasicoherent sheaves, and if X is affine, this is further equivalent to the homotopy category of projectives. Next, we prove that if R is a commutative Noetherian ring, then every countably generated flat module is quite flat, i.e., a direct summand of a transfinite extension of localizations of R in countable multiplicative subsets. Further, we investigate the relations between the geometric and categorical purity in categories of sheaves; we give a characterization of indecomposable geometric pure-injectives in both the quasicoherent and non-quasicoherent case. In partic- ular, we describe the Ziegler spectrum and its geometric part for the category of quasicoherent sheaves on the projective line over a field. The final result is the equivalence of the following statements for a quasicompact quasiseparated scheme X: (1) the category QCoh(X) of all quasicoherent sheaves on X has a flat generator; (2) for every injective object E of QCoh(X), the internal Hom functor into E is exact; (3) for some injective...

The Ziegler Reservoir fossil site (ZRFS) in Colorado contains over 4000 mastodon bones that date from 140,000 to 100,000 years ago. At an elevation of ~2705 meters above sea level, ZRFS represents an alpine ecosystem dated to Marine Isotope Stage (MIS) 5. Formal descriptions of cheek teeth, mandibles, crania, and femora were completed. Statistical analyses of the upper and lower third molars, including a novel measurement of interloph(id) distances, indicate significant differences between ZRFS mastodons and Mammut pacificus, while falling within the ranges for Mammut americanum. This study agrees with the taxonomic assignment of ZRFS mastodons to Mammut americanum and not Mammut pacificus. Body mass estimates of ZRFS mastodons are between 3451 and 6244 kg, and a niche model indicates elevation and water availability influenced Mammut distribution during MIS 5. Incorporating ZRFS mastodons into large comparative datasets will contribute to ongoing research into Late Pleistocene Mammut.

The increase of intelligent systems can be seen in every industry. Integrated sensors and processors are used with internal control systems to create better performance for mobile hydraulic applications. The report describes how an evaluation was made to see if the productivity of a drill rig could be increased. This was done by implementing a programmable hydraulic valve to control the hydraulic drilling functions. The productivity would be increased by reducing the downtime due to jamming in the drill hole. Jamming occur when the system does not compensate for changes in rock conditions. By conducting a series of tests in a controlled environment with simulated loads, the response time of the CMA system and original system could be determined and compared. The CMA system had a response time that was 60-64% faster than the original system. Two different implementations of a controller was tested. Ziegler-Nichols method was used to get the initial value of the PI parameters. The controller that was implemented onboard the valve’s CPU was considered more successfull to reduce jamming. A drill test was conducted to ensure that the programmable valve could handle a drilling procedure with the controller that was implemented onboard the valve’s CPU. The valve handled the drilling procedure well.

Hydropower is an important part of renewable power production in Sweden. The voltage stability of the already existing hydropower needs to be improved. One way to do this is by improving the control system that damp terminal voltage oscillations. If the oscillations in the power system are not damped it could lead to lower power outputs or in the worst case a blackout. This thesis focuses on the automatic voltage regulator (AVR) system with a proportional, integral, derivative (PID) controller. The PID controller’s parameters are optimized to dampen the terminal voltage instability in a generator. The aim is to develop a machine learning model that predicts the optimal gain parameters for a PID controller. The model is using the tuned gains from the Ziegler-Nichols (Z-N) method and the amplifier gain as inputs and gives the optimal gains as output. A linearized model of an AVR system, based on transfer functions was developed in a MATLAB script. This model was used to simulate the behaviours of an AVR system when a change in load occurs. The Z-N method and the genetic algorithm (GA) with different settings and fitness functions were used to tune a PID controller. The best performing method is GA with the fitness function developed by Zwe-Lee Gaing (ZL).  The best performing settings are: roulette selection, adapt feasible mutation, and arithmetic crossover. The GA (ZL) was used in the development of a machine learning model. Two different models were developed and tested: the support vector regression (SVR) and the gaussian process regression (GPR). The data that was used to train the models were generated by changing the transfer functions’ time constants 4096 times. At each step, the Z-N, and the GA (ZL) were run. The GPR model is shown to be the superior model with a lower root mean square error (RMSE) and a higher ratio of variation (R^2). The RMSE for GPR is 0.1091, 0.0815, 0.0717 and the R^2 is 87 %, 59 %, and 86%. The result shows that the developed model has capabilities to optimize the PID controller gains of any AVR-system without knowing the characteristics of the components.

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Μελετήθηκαν με μία σειρά από επιφανειακά ευαίσθητες τεχνικές δύο πρότυπα συστήματα με ενδιαφέρον για την ετερογενή κατάλυση. (Α) Στο διμεταλλικό σύστημα Sn/Ni διερευνήθηκαν οι συνθήκες και ο μηχανισμός κραματοποίησης του Sn στην επιφάνεια Ni(111). Το πλήρες επιφανειακό κράμα με δομή (√3×√3)R30°(από περίθλαση ηλεκτρονίων) σχηματίζεται θερμαίνοντας στους 7000C πάνω από 1,2 μονοστρώματα Sn. Οι διατεταγμένες δομές c(4x2) και c(2x2) αποτελούν ένα ενδιάμεσο στάδιο της κραματοποίησης σε χαμηλότερες θερμοκρασίες. Με θερμοπρογραμματισμένη εκρόφηση CO διαπιστώθηκε η βαθμιαία παρεμπόδιση της ρόφησης κατά το σχηματισμό του κράματος. Η διεπιφανειακή αλληλεπίδραση Sn/Ni(111) διερευνήθηκε τόσο με φασματοσκοπίες φωτοηλεκτρονίων, όσο και με θεωρητικούς υπολογισμούς από πρώτες αρχές. (Β) Μελετήθηκαν με φασματοσκοπίες ηλεκτρονίων και σκέδαση ιόντων He ρεαλιστικά πρόδρομα καταλυτικά συστήματα Ziegler – Natta (ZN), παρασκευάζοντας διάφορες σχετικές διεπιφάνειες με εξάχνωση MgCl2 σε υποστρώματα Si(111)7×7, Ti(0001) και SiO2. Η ασθενής αλληλεπίδραση μεταξύ MgCl2 και Si(111)7×7 γίνεται κυρίως μέσω των ατόμων Mg, τα οποία σε χαμηλές καλύψεις συμμετέχουν στη δημιουργία της υπερδομής (√3×√3)R30°. Η αλληλεπίδραση ενισχύεται μετά από θέρμανση, οπότε παραμένει στην επιφάνεια υπομονοστρωματική ποσότητα Mg. Από την άλλη πλευρά, το MgCl2, ακόμα και σε θερμοκρασία δωματίου αλληλεπιδρά ισχυρά με το Ti(0001), κυρίως μέσω των ατόμων Cl. Μετά από θέρμανση, ποσότητα Cl παραμένει συνδεδεμένη με το Ti ενώ απομακρύνεται από την επιφάνεια το Mg. Ασθενής αλληλεπίδραση παρατηρήθηκε μεταξύ MgCl2 και SiO2, ενώ η θέρμανση άφησε στην επιφάνεια υπομονοστρωματική ποσότητα οξειδωμένου Mg. Τέλος, μεταλλικό Ti που αποτέθηκε σε μικτό υπόστρωμα MgCl2 /SiO2 παρουσιάζει οξειδωτικές καταστάσεις οφειλόμενες στην ύπαρξη ατόμων Cl και O στην επιφάνεια, ενώ η θέρμανση οδηγεί στη δημιουργία επιφανειακών συμπλόκων, τα οποία είναι πιθανόν να προσομοιάζουν αντίστοιχα είδη στους πρακτικούς καταλύτες. / Two model systems, important in heterogeneous catalysis, where investigated using surface sensitive spectroscopies. (A) In the bi-metallic system Sn/Ni, the formation conditions and the mechanism of Sn surface alloying on Ni(111) were initially studied. The epitaxial surface alloy formation with LEED structure(√3×√3)R30°, requires annealing at 7000C of more than 1.2 monolayers Sn. The c(4x2) and c(2x2) structures were found to be an intermediate step of surface alloying. Temperature-programmed desorption showed a gradual blocking of CO adsorption with progressing alloying. The interfacial interactions in Sn /Ni(111) were demonstrated both by electron spectrosopies and via first principle calculations. (B) Surface science compatible model catalysts of the Ziegler-Natta (ZN) system were investigated by electron spectroscopies and He ion scattering on relevant interfaces formed via evaporation of MgCl2 on Si(111)7×7, Ti(0001) and SiO2 and upon evaporation of Ti on a MgCl2 /SiO2 mixed substrate.. The weak interaction between MgCl2 and Si(111)7×7 takes place through the Mg atoms, which at low coverage form a new surface structure, namely (√3×√3)R30°. The interaction was stronger after annealing, whereby a submonolayer coverage of Mg atoms remain on the surface. On the other hand, MgCl2 interacts strongly with the Ti substrate even at room temperature via the Cl atoms. Annealing causes the desorption of MgCl2 followed by decomposition, that leaves on the surface only Cl atoms attached to Ti, while no Mg atoms remain on the surface. Only a weak interaction was observed between MgCl2 and SiO2, while annealing resulted in the desorption and decomposition of MgCl2 leaving on the surface a sub-monolayer coverage of oxidized Mg. Upon Ti metal evaporation on the mixed MgCl2 / SiO2 support at room temperature, Ti appears at higher oxidation states, due to reaction with Cl and O atoms at the surface. Annealing causes the formation of surface complexes, which are very likely similar to species formed on practical ZN catalysts.

The master’s thesis deals with method of adaptive control of electrical drives. It aims at control of DC motor with using self tunning controller (STC) and gain-schedulink in simulative enviroment of MATLAB. The first part of the thesis deals with of basic methods adaptive control of electrical drives and with of basic identification methods, computation of controller parameters and control laws of controllers. The second part of the thesis is aimed at applying adaptive controllers to mathematical model of controlled system. Include monitoring parameters of identification The thesis contains originate programs include source files.

This thesis examines how the concept of evil was understood by opposing German perspectives during the era of National Socialist rule (1933-1945). The rise of Nazism in Germany marked a period of massive political upheaval wherein the National Socialist government encouraged the masses to view the world in terms of a great struggle between forces of good and evil. This was the central theme of their propaganda, which zealously encouraged racialist beliefs in the popular consciousness, and was based on assumptions of German superiority and Jewish evil. Despite Hitler's apparent success in creating an obedient nation, a significant number of Germans opposed his rule, amongst whom a small group of writers expressed their discontent through creative fiction. Through a comparison of the worldviews communicated through political propaganda and anti-Nazi literature, it is revealed that the crux of the divide between their opposing perspectives hinged on the meaning of evil. Since evil is a concept with many meanings, this thesis approaches the subject thematically. The comparison begins by focusing on the perception of evil as an all-corrupting force that had taken hold of Germany, followed by an exploration of how power and brutality were understood, ending with a comparison of views on how the struggle between good and evil took place on both a social and individual level. In addition to demonstrating the subjectivity of moral perspective during a tumultuous period of the recent past, this research reveals how the struggle against Nazism existed as a conflict of ideas. Moreover, the comparison of cultural sources (including Nazi art, visual propaganda, written texts such as Mein Kampf, and anti-Nazi creative fiction) demonstrates the value of art as a tool for conducting historical enquiry. Since the legacy of the Third Reich continues to directly influence modern perceptions of evil, exploring how evil was understood according to contemporary Germans – from both pro and anti-Nazi perspectives – is of particular historical interest.

Any set of finitely presented left modules defines a relative purity for left modules and also apurity for right modules. Purities defined by various classes are compared and investigated,especially in the contexts of modules over semiperfect rings and over tame hereditary, andmore general, finite-dimensional algebras. Connections between the indecomposable relativelypure-injective modules and closure in the full support topology (a refinement of theZiegler spectrum) are described.Duality between left and right modules is used to define the concept of a class of leftmodules and a class of right modules forming an almost dual pair. Definability of suchclasses is investigated, especially in the case that one class is the closure of a set of finitelypresented modules under direct limits. Elementary duality plays an important role here.Given a set of finitely presented modules, the corresponding proper class of relativelypure-exact sequences can be used to define a relative notion of cotorsion pair, which weinvestigate.The results of this thesis unify and extend a wide range of results in the literature.