In this bachelor thesis, we appply the Hardy-Littlewood circle method to Waring's problem using Vinogradov's exponential sums approach. On the last section, we focus on the consequeces of the recently proved Vinogradov's mean value theorem.

Innovation, made possible through Research and Development (R&D) is a major driving force of economic growth. Due to its quasi-public good nature investments in R&D is usually below the social optimum. Governments use different policy instruments to correct this market failure. In this paper, the Westmore, 2014 paper is reexamined for the role of two fiscal policy instruments, Tax Incentiv

Ett av Sveriges hållbarhetsmål är att senast 2045 inte generera några nettoutsläpp av växthusgaser. För att uppnå detta mål krävs kraftiga åtgärder inom alla sektorer. En av dessa är bygg- och fastighetssektorn som 2018 stod för ca 22 % av Sveriges territoriella utsläpp av växthusgaser. Enbart cementindustrin står för ca 5–7 %. Cirka hälften av klimatpåverkan från moderna flerbostadshus uppkommer One of the main sustainability goals in Sweden is to reduce the nations greenhouse gas emissions to a net-zero level by 2045. This is a national implementation of the Paris- Agreement. To achieve this goal measures need to be taken in all industrial sectors. The construction and real-estate sectors are responsible for about 22 % of Sweden’s yearly territorial greenhouse gas emissions. The cement i

Pulver används inom många moment i läkemedelsbranschen, däribland tillverkning av tabletter och dylika processer. Att förstå och kunna anpassa sig till hur pulver beter sig, “flyter”, genom till exempel en tabletteringsmaskin leder till ökad kontroll över tabletternas innehåll och minskad variation mellan individuella tabletter. Vi kallar denna egenskap hos pulvers för deras “flytbarhet”. I vardagPowders are widely used in pharmaceutical applications and understanding their nature is an important aspect of making successful formulations. Powder flowability describes the behaviour of powders and can be measured using several different methods. This study looks at the techniques: angle of repose and tapped density, comparing them to each other and looking at how consistent they are with chan

The forest fire that started in the vicinity of Sala in Västmanland 31 July 2014 ended up in being considered to be the biggest forest fire in Sweden for decades. Crisis management as we knew it got a punch on its nose so to speak. Municipalities, fire departments as well as governmental organizations got involved in something they never handled before and maybe for the first time they all had to

High density lipoprotein (HDL) and its principal protein component Apolipoprotein A-I (ApoA-I) are commonly recognised for their anti-cardiovascular disease properties. Multiple studies have indicated that they also have important roles in the context of glycaemic control and diabetes. Low levels of HDL and ApoA-I have been linked to increased risk of diabetes development. Furthermore, it has been

A translocation between chromosomes 9 and 22 produces the fusion gene BCR-ABL that leads to the constitutive activity of a tyrosine kinase. This initiates the uncontrolled proliferation of myeloid cells causing Chronic Myeloid Leukaemia (CML). The disorder is treated by tyrosine kinase inhibitors (TKIs) that prevent the progression of CML into more advanced phases. The treatment must be sustained

Gotland Regiment P 18 was disbanded in 2004. Gotland had been a historically important strategic island for over 200 years and the Regiment was one of many that where to be disbanded due to economic restraints and a new Swedish security policy. The aim of this thesis is to examine why the decision was made due to the fact that the Regiment was re-established in 2018. Was it a rational decision or

Detta examensarbete är ett samarbete mellan Institutionen för Industriell Produktion på Lunds Tekniska Högskola och Trelleborg AB. Målet med arbetet är att analysera polymerhanteringen i Trelleborgs mixing-avdelning utifrån ett lean perspektiv, samt att komma fram till ett nytt förbättrat produktionsflöde. Det nya flödet ska vara effektivare när det kommer till kapacitet, operatörstid, trucktranspThis thesis is a collaborative project between the division of Production and Materials Engineering and Trelleborg AB. The aim of the thesis is to analyse the current pre-batch polymer handling process, assess the current process from a Lean perspective, and provide a new handling process which is more effective in terms of capacity, operator time, forklift transportation and traceability. The cur

Now more than ever, climate change poses one of the greatest threats to our existence. Regardless of religion, economical wealth, culture or politics, no-one can escape the imminent consequences of climate change. There have been numerous efforts made by political leaders world-wide to prevent climate change and develop sustainable solutions. However, due to conflicting political wills and the com

Den särskilda utskrivningsprövningen inom den rättspsykiatriska vården har varit omdiskuterad under en längre tid. Flera statliga utredningar har gjorts och en del uppmärksammade fall med lagöverträdare som suttit inom vården uppemot 20 år har skapat en het debatt. Denna uppsats ger en närmare inblick i systemet kring särskild utskrivningsprövning och vilka intressen som är centrala när bedömningaThe special discharge review within forensic pshyciatry has been a controversial subject during a longer period of time. A couple of state investigations have been made and several high-profile cases with offenders who have been within the psyciatric care upwards 20 years have created a great debate. This essay will give a closer look into the system around special discharge review and the central

Undersökning av cellens mekaniska reaktionsväg Cancer är ett existentiellt problem världen runt. Den kan uppstå i nästan vilken vävnad som helst och innebär att vissa celler börjar dela sig obehindrat. Dessutom kan tumörceller sprida sig till andra delar av kroppen och bilda så kallade metastaser. Ibland räcker det att lokalt ökad styvhet bidrar till cancercellernas metastasering och på det sätteCells can sense and respond to mechanical forces through a process called mechanotransduction. It is controlled by the mechanical cues, originated from the cell's microenvironment, and occurs via a complex, step-wise process. In this process, a cascade of events occurs, where the forces are essentially sensed by integrins and transmitted through filamentous actin (F-actin). The downstream even

In the 2017 paper by Arévalo and Söderlind, a framework was established for creating linear multistep methods of various classes based on a polynomial formulation which includes variable step size adaptivity. These classes are: k step explicit and implicit methods of order k and k+1 respectively for nonstiff problems (such as Adams methods), and k step implicit methods of order k for stiff problem

Object and surface reconstruction in 3D is commonly used in production tolerance validation. Depending on the required level of accuracy, a multitude of different methods are available, each with their own advantages and disadvantages. This thesis aims to investigate alternative surface reconstruction methods which utilise that all possible light paths are known along a given one-dimensional cur

The Anthropocene is facing complex issues that require paradigmatic shifts in thought and action. In this context, systemic change and cross-sectoral partnerships have gained an exceptional wave of support through agreements such as Agenda 2030, shaping the landscape of international development cooperation sector. However, conceptual limitations and methodological gaps pose challenges to understa

Both development practice and research have paid attention to the issue of sexual and gender-based violence in armed conflict in recent years. However, feminist scholars criticise policies on the issue for reproducing the gendered power relations which are at the root of violence. Research focuses on the policies of a few prominent donors, while policies of lesser-known actors have hardly been exa

There is a need for more efficient measures to ensure responsible migration in host countries. Sports are recognised as a key measure to promote integration. This thesis’s purpose is to increase the understanding of the impacts football clubs have on integration for youth girls with foreign backgrounds in Stockholm, Sweden. This is done by exploring social relations’ role in integration and examin

The under-representation of women in public decision-making in Peru has reaffirmed the need for further studying the reasons for low representation. This study focuses on the case at the lowest level of the Peruvian Judiciary: the Justices of the Peace (JoP) who judge cases in their community based on the knowledge of the specific sets of values in the community. The study shines light on the (und

Covid-19 has served as a magnifying lens to the globally prevailing issue of domestic violence against women. This qualitative case study examines why domestic violence against women prevails in Pakistan, what factors have led to its increase during Covid-19, and how have civil society organizations responded to this issue. Primary data was collected through online interviews with 11 civil society