Browsing Institutt for matematiske fag by Title
Now showing items 2388-2407 of 2550
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Topological full groups of ample groupoids with applications to graph algebras
(Journal article; Peer reviewed, 2019)We study the topological full group of ample groupoids over locally compact spaces. We extend Matui’s definition of the topological full group from the compact to the locally compact case. We provide two general classes ... -
The topological nilpotence degree of a Noetherian unstable algebra
(Peer reviewed; Journal article, 2021)We investigate the topological nilpotence degree, in the sense of Henn–Lannes–Schwartz, of a connected Noetherian unstable algebra R. When R is the mod p cohomology ring of a compact Lie group, Kuhn showed how this invariant ... -
Topological Quantum Computation
(Bachelor thesis, 2020)Quantum computation is a proposed model of computation that applies quantum mechanics to perform information processing and store information in quantum states. Quantum mechanics applies for many different phenomena, ... -
Topological Quantum Field Theory
(Master thesis, 2009) -
A topological splitting of the space of meromorphic germs in several variables and continuous evaluators
(Journal article, 2024)We prove a topological decomposition of the space of meromorphic germs at zero in several variables with prescribed linear poles as a sum of spaces of holomorphic and polar germs. Evaluating the resulting holomorphic ... -
Topologisk dataanalyse på konvolusjonelle nevrale nettverk
(Master thesis, 2020)I denne oppgaven presenteres et forsøk på å gjenskape den såkalte primærsirkelen av pikselmatriser i vektorrommet av vekter i et konvolusjonelt nevralt nettverk (CNN) trent på et bildedatasett, ved hjelp av åpen kildekode ... -
Topologiske kvantefeltteoriar og koplingar til kommutative frobeniusalgebraar
(Bachelor thesis, 2020)I denne bacheloroppgåva utforskar me frobeniusalgebraar og finn ulike måtar å karakterisera dei på. Det blir gjeven ei innføring i orientert kobordismeteori, og kategoriane av frobeniusalgebraar og kobordismar definerast. ... -
Topology and Data
(Master thesis, 2010)Today there is an immense production of data, and the need for better methods to analyze data is ever increasing. Topology has many features and good ideas which seem favourable in analyzing certain datasets where statistics ... -
Topology and Data
(Master thesis, 2010)In the last years, there has been done research in using topology as a new tool for studying data sets, typically high dimensional data. These studies have brought new methods for qualitative analysis, simplification, and ... -
Topology optimisation of Stokes flow
(Master thesis, 2015)In this paper we will investigate topology optimization of Stokes flow. We will construct two different algorithms for solving the problem. We will first construct the algorithms with using sobolev spaces. We will then ... -
Topology Optimization for Unsteady Flow with Applications in Biomedical Flows
(Master thesis, 2017)In this thesis, we will apply a topology optimization method to unsteady fluid flow, using a density model and level set method, in order to optimize the shape of a coronary artery bypass anastomosis. The fluid movement ... -
Toroidal topology of population activity in grid cells
(Journal article; Peer reviewed, 2022)The medial entorhinal cortex is part of a neural system for mapping the position of an individual within a physical environment1. Grid cells, a key component of this system, fire in a characteristic hexagonal pattern of ... -
Torsion, Cotorsion and Tilting in Abelian Categories
(Master thesis, 2021)Vi beviser en korrespondanse mellom "Tilting"-underkategorier og Kotorsjon Torsjons tripler i abelske kategorier med nok projektive. Deretter vises det at disse triplene induserer en ekvivalens av underkategorier. Vi beviser ... -
Tospråklige elever i møte med brøk – en casestudie av hvordan fire norsk-tamilske 7. trinnselever gjennomfører overganger mellom ulike representasjoner av brøkbegrepet
(Master thesis, 2020)Denne studien har som hensikt å bidra i forskningen som har med tospråklighet og matematikkundervisning å gjøre, og på denne måten få innsikt i hvordan opplæring kan tilpasses gruppen med tospråklige elever. Studien er ... -
Totally Acyclic Approximations
(Journal article; Peer reviewed, 2021)Let Q→R be a surjective homomorphism of Noetherian rings such that Q is Gorenstein and R as a Q-bimodule admits a finite resolution by modules which are projective on both sides. We define an adjoint pair of functors between ... -
Toward adaptive robotic sampling of phytoplankton in the coastal ocean
(Journal article; Peer reviewed, 2019)Currents, wind, bathymetry, and freshwater runoff are some of the factors that make coastal waters heterogeneous, patchy, and scientifically interesting—where it is challenging to resolve the spatiotemporal variation within ... -
Towards a classification of multi-faced independence: A representation-theoretic approach
(Peer reviewed; Journal article, 2023)We attack the classification problem of multi-faced independences, the first non-trivial example being Voiculescu's bi-freeness. While the present paper does not achieve a complete classification, it formalizes the idea ... -
Towards a data-driven system for personalized cervical cancer risk stratification
(Peer reviewed; Journal article, 2022)Mass-screening programs for cervical cancer prevention in the Nordic countries have been effective in reducing cancer incidence and mortality at the population level. Women who have been regularly diagnosed with normal ... -
Towards a Parallel Multiphase Solver Based on Potential Ordering
(Master thesis, 2015)This thesis presents our work towards developing a parallel multiphase solver based on potential ordering. We begin the thesis by introducing the Fast Multiphase Solver, as developed by Natvig, Lie et al. . Then we, in ...