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Komplexa tal kom till som ett verktyg för att lösa andra- och tredjegradsekvationer. Till en början sågs de som värdelösa utanför det specifika användningsområdet, men har sedan dess visat sig vara mycket användbara inom flera matematiska fält och även utanför matematiken. Ett sådant exempel är kvantmekanik inom fysiken. Den gren av matematiken som tagit de komplexa talen från ekvationslösning tiThis thesis discusses an extension of the classical maximum modulus principle to unbounded domains, called the Phragmén-Lindelöf principle. The principle is illustrated in strips, half planes and sectors, as well as through the related Hadamard theorems. The thesis is concluded by proving applications of the Phragmén-Lindelöf principle within Fourier analysis and operator theory. The applications

By age 40 years, over 90% of adults with Down syndrome have Alzheimer's disease pathology and most progress to dementia. Despite having few systemic vascular risk factors, individuals with Down syndrome have elevated cerebrovascular disease markers that track with the clinical progression of Alzheimer's disease, suggesting a role of cerebrovascular disease that is hypothesized to be mediated by in

Gout is a chronic disease that is caused by an innate immune response to deposited monosodium urate crystals in the setting of hyperuricemia. Here, we provide insights into the molecular mechanism of the poorly understood inflammatory component of gout from a genome-wide association study (GWAS) of 2.6 million people, including 120,295 people with prevalent gout. We detected 377 loci and 410 genet

Individuals with immigrant background generally perform less well in school than non-immigrants. Performing well in school may decrease the risk of substance use disorder (SUD). We investigated whether higher school performance is associated with a decreased risk of SUD in early adulthood among immigrants and non-immigrants and whether subsequent educational attainment and employment status partly

Att vid ett tillfälle avgöra positionen för en ensam ljudkälla, i en omgivning med mikrofoner utspridda på kända positioner, kan göras med multilaterering, genom uppskattade ankomsttidskillnader (TDOA, time-difference-of-arrival).TDOA uppskattad med korskorrelation är emellertid brusig i verkliga miljöer, och metoder för robust multilaterering måste kunna hantera avvikande värden. Att som begränsnThe momentary localization of a single sound source, in an environment with microphones distributed at known positions, can be done with multilateration, using time-difference-of-arrival (TDOA) estimates. However, TDOA estimates from cross-correlation are noisy in real environments, and a robust multilateration method must handle outliers. Assuming constraints on the smoothness of movement over ti

We show that a generalization of the DAG-like query-to-communication lifting theorem, when proven using sunflowers over non-binary alphabets, yields lower bounds on the monotone circuit complexity and proof complexity of natural functions and formulas that are better than previously known results obtained using the approximation method. These include an nΩ(k) lower bound for the clique function up

Pedagogical development programmes (PDPs) are important for developing teaching skills for university teaching staff. Due to participants’ different teaching roles, their professional development needs and interests may also be different. However, little is known regarding the immediate needs of university teaching staff when they enter PDPs and how these may differ according to their roles. This

In this doctoral thesis I investigate two key issues at the heart of the ongoing philosophical debate concerning the emotions – their nature and their normativity. I argue against the deeply entrenched view according to which emotions are representational mental states and fitting in virtue of accurately representing their objects. Drawing on recent attitudinal accounts of the emotions, I develop

I denna studie undersöks hur könskodade röster hos en humanoid robot påverkar människors uppfattning om agentens kognitiva kompetens i en matematik-relaterad kontext. Studien grundar sig i tidigare forskning som visar att människor tenderar att tillskriva artificiella agenter olika egenskaper baserat på könskodade attribut, såsom röst eller namn. I ett experiment med 19 deltagare interagerade anvä

This research investigates the development of second-life battery (SLB) strategies in the value chain of lithium-ion batteries in India by identifying how some companies are implementing circular economy practices and engaging with SLB strategies. The study adopts three analytical perspectives to examine SLB strategies in India: The Value Retention Option (VRO) model, barriers to implementation, a

A proof system P is said to be automatable in time f(N) if there exists an algorithm that given as input an unsatisfiable formula F outputs a refutation of F in the proof system P in time f(N), where N is the size of the smallest P-refutation of F plus the size of F. Atserias and Bonet (ECCC 2002), observed that tree-like k-DNF resolution is automatable in time Nc·k log N for a universal constant

Climate change and human activities threaten the availability and quality of fresh water resources globally, especially in less developed countries, where poverty and natural disaster risks are present. Despite important research efforts, gaps still exist regarding the understanding of the spatial-temporal variations of water quality and the movement of organic matter within tropical mountain lake

Geographic information systems are used to integrate historical water quality data with information layers derived from diverse sources and represents important tools for the water resources management at watershed scale. This study aimed to collect data sources at the watershed level and compare coincident water quality parameters to find spatial and temporal changes related to land use / land co

A novel pre-purification method was developed for producing peroxidase to guarantee high purity and yield from plant cell cultures in large-scale process. This method was a simple and efficient procedure for the isolation and pre-purification of peroxidase from the biomass consisting of active clay treatment, followed by cationic exchange chromatography. The use of active clay in the pre-purificat

Trafikverket är enligt Järnvägssäkerhetslag (2022:367), 2 kap., 2 § skyldigt att ha ett säkerhetsstyrningssystem. Säkerhetsstyrningssystemet ska utformas så att de risker som verksamheten kan ge upphov till kan hanteras det vill säga att identifiera, analysera och utvärdera risker som är relevanta för, i detta fall järnvägstunnlar. För att tillgodose kraven i ett praktiskt sammanhang behövs någon

Three histone H1 variants were extracted from human placental tissue in a single process using a high-salt buffer solution, and purified by ion exchange, hydroxyapatite, and reversed-phase chromatography. In the first chromatographic step, a cation exchanger resin, SP-Sepharose FF, was used to remove impurities having molecular weights higher than those of histones. In the second chromatographic s