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En av the första matematiska strukturerna man stöter på är de naturliga talen $1,2,3,\ldots$. Här kan vi addera, $12+7=19$, och multiplicera $4\cdot 7=28$. Men denna struktur hade fungerat precis likadant om vi bytte namn på alla tal till deras romerska motsvarighet. I så fall hade de naturliga talen varit $\rom 1,\rom 2,\rom 3,\ldots$ och vi skulle istället ha skrivit $\rom{12}+\rom 7=\rom{19}$ oWe introduce and discuss unitary equivalence of operators in the Cowen-Douglas class $B_n(\Omega)$. We prove that operators in the Cowen-Douglas class are unitarily equivalent if and only if there exists a holomorphic matrix $M$ which satisfies $\tilde K_\lambda(z)=M(z)K_\lambda(z)M(\lambda)^*$ for the spaces' kernels. We use this to establish that $\Delta_\lambda\log\lvert\lvert k_\lambda\rve

To characterize ultrashort laser pulses, several techniques have been proposed. One of the more simple and robust techniques is the dispersion scan (d-scan). The d-scan technique is capable of retrieving the spectral phase from a measurement of the second-harmonic spectrum, while the dispersion of the pulse is varied. Regardless of the advantages of traditional d-scan, a measurement with a scannin

Svårare torrperioder leder till högre koldioxidutsläpp från jorden När det regnar på jord som varit utsatt för torka orsakar det total panik bland jordens mikroorganismer. En fotbollsplan kan då släppa ut lika mycket koldioxid på en vecka som en bil gör på tre månader. Effekten har varit känd sedan 60-talet, men tidigare forskning har inte testat vad som händer om det växer gräs i jorden under toBased on current climate data both drought intensity and frequency is expected to increase. Soil microbes react in a variety of ways to drought-imposed stresses, with only a fraction surviving until wetter conditions return. As drought ends and rain returns, these microbial communities respond with an associated pulse in soil CO2-emissions called the Birch effect. Understanding soil microbial resp

Byggbranschen är i dagsläget en av de störst bidragande faktorerna till utsläpp av fossila bränslen i Sverige och besitter en stor utvecklingspotential beträffande reducering av klimatpåverkan. En byggnads klimatpåverkan under en livscykel kan beräknas genom metoden livscykelanalys, som inkluderar en produkts, eller i detta fall en byggnads, klimatpåverkan från råvaruutvinning till avfallshanterinThe construction industry is currently one of the largest contributing sources to carbon dioxide emissions in Sweden and has great development potential in reducing its climate impact. Since January 2022, the Swedish government requires a declaration of the climate impact of each recently constructed building. To calculate the climate impact of a building, the life cycle assessment tool is used, a

For decades, entrepreneurs faced the same trade-off: either pursue cost leadership and grow fast through various scaling strategies or pursue differentiation strategies by emphasizing personalization of their services to customers. Nevertheless, the situation has changed when new technologies such as artificial intelligence, rising computing power, digitization of firms, or cloud services started

Title: Who’s in Charge?: The Board’s Role in Regional & Community Banks’ Financing Choices Seminar date: June 2nd, 2025 Course: BUSN79 - Degree Project in Accounting and Finance Authors: Krystian Segura and Lazarin Lashkov Supervisor: Reda Moursli Key words: Board Independence, Board Age, Board Diversity, Capital Structure, Leverage, Regional and Community (R&C) Banking Purpose: The

Our work is to study the phase behaviour of monoclonal antibodies (mAbs). Subcutaneous injection of monoclonal antibodies is the preferred administration, which requires high concentration formulations. However, monoclonal antibodies may undergo aggregation, reversible self-assembly and liquid-liquid phase separation at high concentrations which lead to problems in the formulation and may trigger

I den moderna kemiska industrin är effektivt energiutnyttjande avgörande för ekonomisk bärkraft och miljömässig hållbarhet. Värme- och energiintegrering har en avgörande roll i att optimera kemiska processer och kan minimera energislöseri samt minska bränsleförbrukningen och utsläppen av växthusgaser. Detta genom att strategiskt återanvända värme och energi som frigörs i andra delar av processen. In the modern chemical industry heat and energy integration is crucial for optimizing process efficiency and increasing economic viability and environmental sustainability. By strategically recovering and reusing heat and energy within the plant, industries can significantly decrease their reliance on external energy sources, leading to costs saving and a smaller carbon footprint. One of the late

This disquisition explores the possibilities to install a battery storage situated in a gasturbineplant to enable a start up of the gasturbine in the case of a powerfailure. Since powerfailures are rare, the battery will mostly and to a large extent be unused, this creates an economic dilemma. Uniper has taken in and recieved a tender which includes and discribes a battery with a larger storage sy

Head-mounted mixed reality devices are making their way into airline pilot training. Devices that use passthrough video hold much promise but come with caveats. Because current generation passthrough video devices occlude natural light, users rely entirely on a digital video feed that lacks the visual fidelity and field of view of the unaided human eye. The application of head-mounted extended rea

Organizational Commitment (OC), which describes an individual’s psychological attachment to an organization, is a central component in organizational behavior research. This study examines the impact of perceived organizational values, personal values, organizational support, positive leadership, and job autonomy on OC and its three components: affective, normative, and continuance commitment. Dra

This thesis explores the effect on neonatal, post-neonatal, and child mortality of being a motherless child and the interaction this situation had with socio-economic status and gender in Sweden during the period 1790-1910. Using a longitudinal, individual level, database (SwedPop), covering large parts of the Swedish population, together with a Cox proportional hazards model, this study finds tha

This study explores the use of Large Language Models (LLMs) to automate sustainability reporting in accordance with the European Sustainability Reporting Standards (ESRS). Given the increasing complexity and regulatory demands of sustainability reporting, organizations face significant challenges connected to their reporting processes. To evaluate the potential of LLMs in addressing these challeng

This thesis examines customer satisfaction within IKEA's support services in Sweden and Great Britain by analyzing customer feedback data. It explores the intersection of anthropology and computational social science, contributing to the growing field of computational anthropology. The study identifies recurring themes in customer comments by employing a mixed-methods approach that combines co

Due to higher demands on the electrical systems in the aviation industry, the generation and distribution of electrical power, in aircrafts, needs to be researched and developed further. Key requirements include increased power capacity to meet future demands, a transition from AC to DC supply and an increased voltage level. For power generation, a generator is coupled to the jet turbine which mus

Att kunna skräddarsy biologiskt nedbrytbara stärkelsepartiklar för användning i medicintekniska produkter låter kanske som science fiction, men det håller snabbt på att bli verklighet! Dessa mikroskopiska partiklar tillverkar man av något som de flesta har hemma, potatisstärkelse och kan användas i medicintekniska produkter för att exempelvis blockera blodflödet till tumörer eller upptäcka läckageDegradable starch microspheres (DSMs) are promising biomaterials with expanding medical applications due to their biocompatibility and controlled degradation. DSMs are produced by forming a water-in-oil emulsion using a starch solution, an emulsifier e.g. Starch Acetate Butyrate (SAB) and toluene, followed by crosslinking using a crosslinker, e.g. epichlorohydrin (ECH). The relationship between re

In today’s increasingly digital world, cybersecurity challenges extend far beyond the organizational perimeter, affecting both professional and personal domains. While organizations invest in comprehensive cybersecurity policies to mitigate risks, less is known about how these policies influence employees’ personal cybersecurity outside the workplace. This study investigates that relationship thro