Institutt for matematiske fag
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LATTICE THEORY OF TORSION CLASSES: BEYOND τ-TILTING THEORY
(Peer reviewed; Journal article, 2023) -
Prognostic risk models for incident hypertension: A PRISMA systematic review and meta-analysis
(Journal article; Peer reviewed, 2024)Objective Our goal was to review the available literature on prognostic risk prediction for incident hypertension, synthesize performance, and provide suggestions for future work on the topic. -
Fiducial Inference and Decision Theory
(Chapter, 2024) -
Development of risk models of incident hypertension using machine learning on the HUNT study data
(Journal article; Peer reviewed, 2024)In this study, we aimed to create an 11-year hypertension risk prediction model using data from the Trøndelag Health (HUNT) Study in Norway, involving 17 852 individuals (20–85 years; 38% male; 24% incidence rate) with ... -
MARTA: Matematikk som redskap for tanken. Integrasjon av matematikk i ingeniørutdanning
(Research report, 2023) -
Mathematics and engineering - interplay between praxeologies
(Chapter, 2023) -
New tests for trend in time censored recurrent event data
(Journal article; Peer reviewed, 2024)We consider testing for trend in recurrent event data. More precisely, for such data we consider testing of the null hypothesis of data coming from a renewal process. The new tests are essentially obtained by considering ... -
A Convergent Numerical Algorithm for α-Dissipative Solutions of the Hunter–Saxton Equation
(Peer reviewed; Journal article, 2024)A convergent numerical method for -dissipative solutions of the Hunter–Saxton equation is derived. The method is based on applying a tailor-made projection operator to the initial data, and then solving exactly using the ... -
Codes in Algebras
(Master thesis, 2023)Vi viser, ved hjelp av teorien om automorfier til utvidede kvadratiske restkoder, at den utvidede binære Golay-koden er et ideal i gruppealgebraen til den symmetriske gruppen på $4$ elementer over $\mathbb{Z}_2$. Vi utnytter ... -
Enhancing elasticity models with deep learning: A novel corrective source term approach for accurate predictions
(Peer reviewed; Journal article, 2024)With the recent wave of digitalization, specifically in the context of safety–critical applications, there has been a growing need for computationally efficient, accurate, generalizable, and trustworthy models. Physics-based ... -
Road works ahead: the journey of an innovative cross-campus hybrid learning space navigating higher education institutions’ organizational setbacks
(Journal article; Peer reviewed, 2024)The most recent UN publication on Sustainable Development Goals (SDGs), which covers issues related to socioeconomic, environmental, and technological development on a global scale towards 2030, has expanded its focus to ... -
Comparison of ensemble-based data assimilation methods for sparse oceanographic data
(Peer reviewed; Journal article, 2023-12-10)Probabilistic forecasts in oceanographic applications, such as drift trajectory forecasts for search-and-rescue operations, face challenges due to high-dimensional complex models and sparse spatial observations. We discuss ... -
Contextual learning of mathematics for engineers
(Journal article; Peer reviewed, 2023) -
Teaching the concept of angles to multilingual learners
(Chapter, 2023) -
The category of extensions and a characterisation of n-exangulated functors
(Peer reviewed; Journal article, 2023)Additive categories play a fundamental role in mathematics and related disciplines. Given an additive category equipped with a biadditive functor, one can construct its category of extensions, which encodes important ... -
B-stability of numerical integrators on Riemannian manifolds
(Peer reviewed; Journal article, 2024)We propose a generalization of nonlinear stability of numerical one-step integrators to Riemannian manifolds in the spirit of Butcher's notion of B-stability. Taking inspiration from Simpson-Porco and Bullo, we introduce ... -
Transitioning to Active Learning Spaces – Perspectives from teachers and students in mathematics and statistics
(Doctoral theses at NTNU;2024:71, Doctoral thesis, 2024)Active Learning Spaces (ALSs) are spaces designed to facilitate for Active Learning (AL), often improving the benefits of such teaching methods. The impact of AL has been extensively researched, and evidence suggest that ... -
The left heart and exact hull of an additive regular category
(Journal article; Peer reviewed, 2023)However, there are natural examples of categories in functional analysis which are not quasi-abelian, but merely one-sided quasi-abelian or even weaker. Examples are the category of LB-spaces or the category of complete ... -
Including New Customers in The Prediction of Electricity Consumption
(Master thesis, 2023)Det er avgjerande for bedrifter som kjøper straum på førehand å oppnå nøyaktige prognosar for forbruket. Ved å nytte maskinlæring og historiske data kan ein utvikle prediktive responssmodellar. Hovudmålet med masteroppgåva ... -
Bi-parameter Potential theory and Carleson measures for the Dirichlet space on the bidisc
(Journal article; Peer reviewed, 2023)