Geospatial data is becoming increasingly important as artificial intelligence develops rapidly, creating new opportunities in the field of Geographic Information Systems. The thesis investigates the possibility of establishing a method to automatically calibrate a network camera’s geolocation and heading direction by using a camera view image and its corresponding satellite image. The aim is to lo

Sweden has seen a rise in firearm-related violence in recent years, and Malmö is one of three cities that has experienced a significant increase in these crimes. This study isolates the role of socioeconomic variables as determinants of firearm-related violence, exploring whether socioeconomic disadvantage independently influences the spatial distribution of these incidents in Malmö. The spatial c

Strategic decision-making (SDM) is a core function of managerial roles, often carried out under pressure, uncertainty, and cognitive limitations. This thesis explores how overconfidence bias affects strategic decision-making in organisational settings. While cognitive biases have been extensively studied in psychology and behavioural economics, the specific impact of overconfidence on business-rel

The phenomenon of cyclical female mentoring, defined as women’s engagement in same gender mentoring relationships both as a mentee and a mentor, has been underexplored in the mentoring literature. The purpose of this study is thus to understand how women experience cyclical female mentoring, with a specific focus on relational, gender-focused, and learning dimensions. To fulfil this purpose, the s

Digital platforms have become a crucial tool for career planning, especially for young people in the beginning of their careers. Today’s students must navigate numerous career options while adapting to new digital norms around personal branding and showcasing success. These platforms provide valuable opportunities for inspiration and building a professional identity, enhancing career planning. How

Peptidbaserade läkemedel utgör en växande del av läkemedelsindustrin, med behandlingsmöjligheter mot en bredd av sjukdomar. Det första peptidbaserade läkemedlet var insulin som introducerades under 1920-talet, sedan dess har applikationer av peptidläkemedel ökat, och tillverkningsmetoder utvecklats. Under 1960-talet introducerades fastfaspeptidsyntes (solid phase peptide synthesis, SPPS), där peptMethods for synthesis of peptides using solid phase peptide synthesis (SPPS) are hampered by relying on large amounts of hazardous substances such as dimethylformamide (DMF) as solvent for peptide assembly and trifluoroacetic acid (TFA) a per/polyfluoroalkyl substance (PFAS) as reagent/solvent for side chain protecting group (PG) removal and peptide resin cleavage. Advances have been made towards

Denna studie undersöker utrymning genom inåtgående dörrar, något som bör undvikas enligt svenska byggregler när antalet personer i en lokal överstiger 30. Trots detta är de specifika utmaningarna och påverkande faktorerna, särskilt vad gäller personer med nedsatt rörelseförmåga, till stor del outforskade. För att belysa detta genomfördes en litteraturstudie samt utrymningsförsök med 36 deltagare (This study investigates evacuation through inward-opening doors, a practice discouraged by Swedish building regulations when occupant numbers exceed 30. Despite this, the specific challenges and influencing factors, particularly regarding individuals with movement impairments, remain largely unexplored. To address this gap, a literature review and eight evacuation scenarios involving 36 participan

To address global food security challenges caused by population growth and climate change, accurate prediction of crop yield is essential for sustainable agriculture. Winter wheat, a key global crop, faces production instability in regions like Sweden and Morocco due to extreme weather conditions. This study employed unmanned aerial vehicle (UAV)-based multispectral imagery and digital surface mod

Antibiotikaresistens är ett fenomen där bakterier utvecklar motståndskraft mot antibiotika. Detta kan leda till svåra infektioner och sjukdom i brist på behandlingsalternativ. Det är därför viktigt att utveckla nya typer av antibiotika som angriper bakterier på sätt som skiljer sig från tidigare varianter av antibiotika. En sådan ny typ av metod utvecklades i denna studie genom att stödja immunförAntibiotic resistance is a threat that could result in severe consequences for the public health. The synthesis of new antibiotics is therefore increasingly more important. Sialic acid is a sugar which aids bacterial growth, but the opposite effect could occur if bacteria were prevented from utilizing this sugar. This could be achieved through inhibition of pmSiaT, a protein which transports siali

Svenska tillståndsprocessen - hjälper eller stjälper Sveriges hållbarhetsarbete? Vindkraftsentreprenörer har länge högljutt tvekat på legitimiteten och effektiviteten av den svenska tillståndsprocessen för vindkraftsetablering. Har deras skrupler någon grund i verkligheten av dagens tillståndsprocesser eller är problematiken överdriven? Sverige har idag god tillgång till förnybar och fossilfri eWind power is crucial for achieving climate and energy targets, but prolonged permitting processes can impede its expansion. This thesis examines whether Sweden’s permitting process is an unreasonable obstacle to wind power development, with the new (2023) EU requirements under the Renewable Energy Directive III (RED III) as the benchmark. The research identifies RED III’s demands on permitting, e

The study of minimal surfaces has a long history, due to the important applications. Given a fixed boundary, one wants to minimise the surface area: this can be used, for example, to minimise the area of the roof of a building. Similarly, looking for constant mean curvature (CMC) provides us with many interesting ap- plications in physics – one of the easiest examples are soap bubbles. In this wor

In this thesis we introduce the notion of elliptic functions, and in particular Weierstrass' Elliptic Function, in order to define the modular function $\lambda$ on the upper half plane. We establish a group ismorphism between the unimodular transformations and $\Aut{\C\setminus\{0,1\}}$. In particular this gives two functional equations involving $\lambda$, and with these equations we show th

We provide an introduction to Banach Algebras and C*-algebras. The discussion of C*-algebras leads to the two central theorems of this thesis: Gelfand Duality & the Gelfand-Naimark-Segal (GNS) Theorem. The latter tells us that every C*-algebra may be treated as some (special) subalgebra of bounded endomorphisms of a C-Hilbert space, while the former tells us that every commutative C*-algebra c

I syfte att förstå lösningar för nutida optimeringsproblem, ska vi se på det matematiska ramverket för den moderna teorin om variationskalkyl. Variationskalkyl är en gren av matematiken som utvecklades under 1700-talet för att lösa problem gällande fastställning av optimala trajektoria, former och strukturer, givet vissa begränsningar. Dess utveckling pågick parallellt med framsteg inom matematiskCalculus of variations is a branch of mathematics that was developed in the 18th century to solve problems of determining optimal trajectories, shapes and structures subject to constraints. It deals with the minimization of a certain type of integral functional. In the early days of the theory, the smoothness of the functions involved was assumed but, during the following centuries, advances in an

I den digitala tidsåldern spelar invecklad matematik ofta en undanskymd, men ändå avgörande roll. När vi löser bildproblem, som att avpixla foton och förbättra upplösningen, använder vi ofta komplex matematik. I den här avhandlingen vill vi lyfta fram den genom att beskriva tre viktiga algoritmer - ADMM, Plug and Play och Consensus Equilibrium. Denna avhandling utforskar hur dessa algoritmer byggeIn this thesis, we explore the Alternating Direction Method of Multipliers (ADMM) algorithm, the Plug & Play (PnP) algorithm and consensus equilbrium in order to understand their importance for solving complex imaging problems. We begin by motivating the invention of ADMM which combines the strengths of dual ascent and the method of multipliers. A proof of convergence for ADMM is then provided

A solution to an ordinary differential equation may be stable or unstable. Let x = φ(t) be a solution of an autonomous differential equation x′ = Ax. The solution x = φ(t) with φ(0) = t0 is stable if every other solution ψ(t) with initial condition sufficiently close to φ(t) will remain close to φ(t) for all t > 0. For an autonomous system of linear differential equations, it is possible to determ

Tre styck icke-triviella satser om kontinuerliga funktioner presenteras för läsaren. Kontinuerliga funkioner har ett flertal trevliga egenskaper, de över kompakta rum speciellt så. I och med att de saknar "stup," där funktionen hoppar från ett värde till ett annat, följer det att de kan lättare uppskattas. Den första satsen som presenteras handlar om just detta: Stone-Weierstraß sats, viThree main theorems are presented, all of them concerning different non-trivial properties of continuous functions on compact metric spaces. The first is the Stone-Weierstrass theorem, which states that a continuous functions on a compact metric space can always be uniformly approximated by functions in a smaller algebra -- for instance, on compact intervals of the real line then any continuous fu

Vi behandlar i denna uppsats några generaliseringar av resultat i grundläggande komplex analys, såsom existens av logaritmiskt konjugat som generalisering av harmoniskt konjugat. Detta använder vi sedan bland annat för att visa en sats om konforma avbildningar (d.v.s. avbildningar som bevarar vinklar), som utgör en analogi med Riemanns avbildningssats för områden i planet med ett hål. Detta resultThe existence of a primitive of analytic functions, of an analytic logarithm of zero-free analytic functions, and of a harmonic conjugate to any harmonic function are fundamental propositions of elementary complex analysis, holding on simply-connected domains. We find that with suitable corrections, analogous statements can be made on multiply connected domains, foremost of these is these being th

Klangen av ett piano och en gitarr, ett glas som börjar vibrera för att till slut gå i bitar på grund av att en viss ljudfrekvens spelats och svajningen av en hängbro under marscherande soldaters fötter, allt detta är exempel på resonans. Vilket kan förklaras som att en viss frekvens får en mycket starkare påverkan. Även om i fal- let med piano så är det effekten av resonans man söker för dess klaThis thesis presents a method, from an article by Gouveia and Stone, for solving resonant ODE:s as well as ODE:s with multiple roots, based on perturbation theory. It also gives a mathematical justification for the method as well as background on resonance and repeated roots. Later in the thesis we use the method to solve a number of ODE’s, illustrating its usefulness.