The thesis deals with teaching Mathematics through folding paper using the origami, sliceforms and paperfolding methods. Selected geometric figures and their characteristics are listed in the thesis. These geometrical figures are approximated to pictures created in a mathematical software GeoGebra. Selected figures are enriched with instructions and methods of creating the given figure out of paper. The thesis includes educational tasks. The teacher and the pupils follow the task step by step. The pupils revise the schoolwork and build up a system of basic geometrical terms while folding paper. The pupils apply gained skills and acquired terms in handouts.

Subject of the thesis is study of photon strength functions describing the gamma decay of the nucleus. During last 50 years a number of theoretical models for these quantities were proposed, however, their accuracy is still de- batable and its verification has recently been a subject of intensive experimental and theoretical research. In this work measurement of multi-step gamma cas- cades following the radiative neutron capture on target nucleus 167 Er is used to analyse photon strength functions. The experiment was performed with DANCE calorimeter located in Los Alamos Neutron Scattering Center. The experimen- tal spectra are compared with Monte Carlo simulations of electromagnetic decay using the DICEBOX algorithm, based on assumptions of Extreme Statistical Model. Comparison of experimental and simulated spectra is a fundamental tool for studying correctness of theoretical models of photon strength functions. This study provides information mainly about E1 and M1 photon strength functions, especially properties of the so-called scissor mode are analysed.

Title: Photon strength functions in Gd isotopes studied from resonance neutron capture Author: RNDr. Jiří Kroll Department: Intitute of particle and nuclear physics Supervisor: doc. Mgr. Milan Krtička, Ph.D., Intitute of particle and nuclear physics Abstract: Photon strength functions have been studied for more than sixty years. A number of theoretical models was proposed to describe experimental data during that time. However, the correctness of these models is still very questionable and its verification is the subject of very intensive experimental and theoretical activity at present time. In this thesis the analysis of spectra of γ rays following the radiative capture of neutrons on isolated neutron resonances of 152,154−158 Gd nuclei is used to study photon strength functions. Experimental data were measured using segmented DANCE calorimeter that is installed at Los Alamos Neutron Scattering Center in New Mexico, USA. Experimental spectra are then compared with the outputs of Monte Carlo simulation of nuclear elec- tromagnetic decay, performed by DICEBOX code, that is based on the validity of the so-called Extreme Statistical Model. The response of the detector system to generated γ cascades was subsequently calculated using the Geant4 code. An analysis of the data clearly indicates that magnetic...

The γ decay of highly excited nuclear levels can be described within the statistical model of nucleus in terms of the level density and a set of photon strength functions. The knowledge of these quantities enables more accurate calculations of reaction rates in many different reactions which are important especially in nuclear astrophysics and in the development of advanced nuclear reactors. Despite the fact that the photon strength functi- ons have been studied for decades, there are still contradicting experimental results regarding the low energy behavior of dipole strength. One of these ca- ses is the shape of electric dipole photon strength function and the strength of the scissors mode in well-deformed rare-earth nuclei. In this thesis the ana- lyses of γ-ray spectra measured by two different experimental setups are pre- sented. The two-step γ cascades measurements with odd gadolinium targets were performed at the research reactor LVR-15 at the Research Centre Řež. In the multi-step γ cascades experiments the γ rays following resonance ne- utron capture on 161−163 Dy targets were measured with the highly-segmented γ-ray calorimeter Detector for Advanced Neutron Capture Experiments in the Los Alamos Neutron Science Center at Los Alamos National Labora- tory. Experimental spectra were compared...

Start-up företaget Wood Tube har utvecklat en ny typ av miljövänlig byggregel gjord av papper. Pappersreglar är en ny produkt som ännu inte finns på marknaden, men som kan komma att innebära stora fördelar för byggindustrin och snickare i fråga om pris, miljövänlighet och förbättrad arbetsmiljö. Det tänkta användningsområdet är att ersätta plåtreglar som ram i icke-bärande innerväggar, men det finns även stor potential i andra applikationer, såsom i möbler. Pappersreglarna tillverkas i standardlängder och ska kapas på plats ute på det aktuella bygget, i dagsläget genom sågning.  Detta projekt går ut på att utveckla ett specialanpassat kapningsverktyg som ska möjliggöra en enkel och smidig kapning av dessa reglar, i syfte att göra lösningen mer attraktiv för potentiella kunder. Inom detta projekt har enklare tester utförts som indikerar att klippning är den metod med störst möjlighet till måluppfyllelse. En kravspecifikation har tagits fram och innefattar bland annat att verktyget ska drivas utan el, vara portabelt, ej avge sågspån, motstå korrosion och kunna klippa pappersreglar av olika dimensioner.   Ett klippande sax-koncept väljs efter nyttjande av systematiska metoder för konceptgenerering och urval. Mycket inspiration till verktyget hämtas från konkurrentanalys av en grensax med kugg-utväxling av märket Fiskars. Egna tester har utförts för att ta reda på pappersreglarnas klippbarhet och kapningsverktygets tänkta lastfall. Konstruktionsarbetet utförs med Brain-Aided-Design (BAD), Pen-Aided-Design (PAD) och Computer-Aided-Design (CAD), och inkluderar även riskanalyser (FMEA) samt hållfasthetsberäkningar. Slutligen har ett specialiserat kapningsverktyg utvecklats för att snabbt och enkelt kunna klippa miljövänliga pappersreglar från Wood Tube. / Wood Tube is a start-up company with a new invention, environmental-friendly building bars made out of paper. The product is not yet available on the market, but these bars are likely to be a lot cheaper and easier to use for carpenters when building drywall, where the bars will replace the commonly used plate metal bars for framing. These bars are manufactured in standard lengths and are supposed to be cut on site to fit the local application. As of now they are sawn with a hand saw.  This project is about developing a new specialized cutting-tool for easy and fast cutting of the Wood Tube paper bars, with the idea that a customised tool will make the paper bars even more attractive to carpenters and other potential customers.  Tests indicate that cutting with shear-blades is the cutting method with the highest probability to meet the product requirements, which include requirements such as the tool being manually powered, highly portable, does not produce sawdust, is resistant to corrosion and being able to cut paper bars of different dimensions. Using systematic methods for generating concepts and the final selection, this results in a handheld scissors-concept, similar to a lopper. A lot of inspiration for the tool has come from the benchmarking of a lopper with gears  from the brand Fiskars. Tests have been performed to determine the cuttability of the paper bars, as well as to predict the loads which will be exerted on the cutting tool. The cutting tool is designed using the methods Brain-Aided-Design (BAD), Pen-Aided-Design (PAD) and Computer-Aided-Design (CAD), along with calculations for tool-strength and risk-analysis (FMEA).  The end result are blueprints for a tool which has been specifically developed for cutting paper bars from Wood Tube.

<p>Bose-Einstein condensates (BECs) in light-induced synthetic gauge fields and spaces can provide a highly-tunable platform for quantum simulations. Chapter 1 presents a short introduction to the concepts of BECs and our BEC machine. Chapter 2 introduces some basic ideas of how to use light-matter interactions to create synthetic gauge fields and spaces for neutral atoms. Three main research topics of the thesis are summarized below.</p> <p>Chapter 3: Recently, using bosonic quasiparticles (including their condensates) as spin carriers in spintronics has become promising for coherent spin transport over macroscopic distances. However, understanding the effects of spin-orbit (SO) coupling and many-body interactions on such a spin transport is barely explored. We study the effects of synthetic SO coupling (which can be turned on and off, not allowed in usual materials) and atomic interactions on the spin transport in an atomic BEC.</p> <p>Chapter 4: Interplay between matter and fields in physical spaces with nontrivial geometries can lead to phenomena unattainable in planar spaces. However, realizing such spaces is often impeded by experimental challenges. We synthesize real and curved synthetic dimensions into a Hall cylinder for a BEC, which develops symmetry-protected topological states absent in the planar counterpart. Our work opens the door to engineering synthetic gauge fields in spaces with a wide range of geometries and observing novel phenomena inherent to such spaces.</p> <p>Chapter 5: Rotational properties of a BEC are important to study its superfluidity. Recent studies have found that SO coupling can change a BEC's rotational and superfluid properties, but this topic is barely explored experimentally. We study rotational dynamics of a SO-coupled BEC in an effective rotating frame induced by a synthetic magnetic field. Our work may allow for studying how SO coupling modify a BEC's rotational and superfluid properties.</p> <p>Chapter 6 presents some possible future directions.</p>