Blar i Institutt for matematiske fag på tittel
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F. Wiener’s Trick and an Extremal Problem for H<sup>p</sup>
(Peer reviewed; Journal article, 2022)For 0<p≤∞, let Hp denote the classical Hardy space of the unit disc. We consider the extremal problem of maximizing the modulus of the kth Taylor coefficient of a function f∈Hp which satisfies ∥f∥Hp≤1 and f(0)=t for some ... -
The Faá di Bruno Hopf algebra for multivariable feedback recursions in the center problem for higher order Abel equations
(Peer reviewed; Journal article, 2019)Poincaré’s center problem asks for conditions under which a planar polynomial system of ordinary differential equations has a center. It is well understood that the Abel equation naturally describes the problem in a ... -
Fabrication of a scaled MgB2 racetrack demonstrator pole for a 10 MW direct drive wind turbine generator
(Journal article; Peer reviewed, 2018)Field windings made of MgB2 wires or tapes are considered for their potential to reduce volume, weight and cost of large offshore wind turbine generators. To gain experience of how to use this relatively new material in ... -
Factor screening in a 12 Run Plackett-Burman design assuming four active factors
(Master thesis, 2016)In this thesis we perform factor screening in a non-regular two-level design by reducing the number of possible sets of active factors to a certain number. The 12 Run Plackett-Burman(PB) design with four active factors is ... -
Faktorisering av idealar i Dedekindområder
(Bachelor thesis, 2023)I denne bacheloroppgåva studerer ein korleis ideal blir faktorisert til eit unikt produkt av primideal i eit Dedekindområde. Det er interessant at ideal har denne eigenskapen, sidan det ikkje nødvendigvis er slik at eit ... -
Faktorisering i Hardy-rom
(Bachelor thesis, 2020)Vi definerer Blaschke-produkt og viser Riesz-faktoriseringen for funksjoner i Hardy-rom. Dette bruker vi til å vise den isoperimetriske ulikheten. -
Fast and Secure Updatable Encryption
(Peer reviewed; Journal article, 2020)Updatable encryption allows a client to outsource ciphertexts to some untrusted server and periodically rotate the encryption key. The server can update ciphertexts from an old key to a new key with the help of an update ... -
Fast divergence-conforming reduced basis methods for steady Navier–Stokes flow
(Journal article; Peer reviewed, 2018)Reduced-basis methods (RB methods or RBMs) form one of the most promising techniques to deliver numerical solutions of parametrized PDEs in real-time with reasonable accuracy. For incompressible flow problems, RBMs based ... -
Fast estimation of pressure propagation on general grids
(Master thesis, 2015)To optimize reservoir recovery, estimating drainage volume for different well scenarios to find optimal well locations, is crucial. Knowing the pressure propagation for different well scenarios we can use this to estimate ... -
Fast pricing of barrier options with NIG dynamics
(Master thesis, 2008)We show how we can price different barrier options very fast and accurately using numerical path integration. We will assume the underlying stock follow a NIG process. -
Fast Spatial Multi-level Models for Small Area Estimation
(Master thesis, 2023)Det foreslås en utvidelse av Besag-York-Mollié (BYM)-modellen som kan ta hensyn til romlig variasjon på flere nivåer. Multi-level modellen presenteres som en alternativ metode for nøyaktig estimering av demografiske data ... -
Fast Tensor-Product Solvers for the Numerical Solution of Partial Differential Equations: Application to Deformed Geometries and to Space-Time Domains
(Master thesis, 2010)Spectral discretization in space and time of the weak formulation of a partial differential equations (PDE) is studied. The exact solution to the PDE, with either Dirichlet or Neumann boundary conditions imposed, is ... -
The fat mass and obesity-associated (FTO) gene allele rs9939609 and glucose tolerance, hepatic and total insulin sensitivity, in adults with obesity
(Peer reviewed; Journal article, 2021)The objective of the study was to assess associations of the rs9939609 FTO allele to glucose tolerance, hepatic and total insulin sensitivity (IS) in individuals with obesity. From a low-dose hyperinsulinemic euglycemic ... -
Fault controlled pressure modelling in sedimentary basins /
(Dr. ingeniøravhandling, 0809-103X; 2000:22, Doctoral thesis, 2000)The starting point for this Dr. Ing. thesis was the requirement for models describing basin scale overpressure for use in basin modelling studies. It is necessary to identify, understand and describe both the generating ... -
Feature Learning in the Neural Collapse regime of Deep Classifiers
(Master thesis, 2023)Vi har identifisert Neural Collapse i de indre, skjulte lagene i flere typer dype nevralnett. Vi har vist at fenomenet oppstår i både fullstendig koblede nevralnett, konvolusjonsnett og residual-nett for flere datasett, ... -
Feed-forward neural networks and how to explain their predictions
(Bachelor thesis, 2021)Et kunstig feed-forward nevralt nettverk bruker lag med noder knyttet sammen av vekter til å kalkulere prediksjoner på basis av et input. Denne arkitekturer i kombinasjon med ikke lineære aktiverings funksjoner gjør at ... -
Fenchel Duality and a Separation Theorem on Hadamard Manifolds
(Peer reviewed; Journal article, 2022)In this paper, we introduce a definition of Fenchel conjugate and Fenchel biconjugate on Hadamard manifolds based on the tangent bundle. Our definition overcomes the inconvenience that the conjugate depends on the choice ... -
Fibrasjoner av Kategorier
(Master thesis, 2019)Det finnes en {\em kanonisk} modellstruktur på $\Cat$ som bruker ekvivalenser av kategorier, og vi forsøker å forstå fibrasjonene involvert. Første kapittel gir en detaljert utledning av at yonedaimbeddingen $\y : \C \to ... -
Fiducial Inference and Decision Theory
(Chapter, 2024) -
Financial modelling applied to long-horizon savings and pension products.
(Master thesis, 2007)his thesis studies financial models applied to valuation and risk measurement applicable to products in the life and pension area. Stock market theory and option pricing are described as a theoretical background. Mathematical ...