Blar i Institutt for matematiske fag på tittel
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Problemer med prosentbegrepet hos elever i den videregående skolen
(Master thesis, 2020)Hensikten med denne masteroppgaven har vært å kartlegge problemer elever i den videregående skolen har i arbeid med ulike typer av prosentoppgaver. Oppgaven skal besvare forskningsspørsmålet «Hvilke aspekter ved prosent ... -
Product of Hyperfunctions with Disjoint Support
(Master thesis, 2008)We prove that if two hyperfunctions on the unit circle have disjoint support, then the convolution of their Fourier coefficients multiplied with a weight is zero when the weight goes to 1. We prove this by using the ... -
Profinite and discrete G-spectra and iterated homotopy fixed points
(Journal article; Peer reviewed, 2016)For a profinite group G, let (−)hG, (−)hdG and (−)h′G denote continuous homotopy fixed points for profinite G–spectra, discrete G–spectra and continuous G–spectra (coming from towers of discrete G–spectra), respectively. ... -
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. -
Programming a Computer to Play Human-like Chess
(Master thesis, 2021) -
Projecting onto Helson matrices in Schatten classes
(Peer reviewed; Journal article, 2021)A Helson matrix is an infinite matrix A=(am,n)m,n≥1 such that the entry am,n depends only on the product mn. We demonstrate that the orthogonal projection from the Hilbert–Schmidt class S2 onto the subspace of Hilbert–Schmidt ... -
Projective Geometry
(Bachelor thesis, 2021)Denne oppgavens tema er projektiv geometri. I oppgaven presenteres konseptet om et projektiv rom tilknyttet et vektorrom med eksempler på noen projektive rom. Man ser på avbildning fra et projektiv rom til seg selv, og ... -
Projective spaces An extrension of affine spaces
(Bachelor thesis, 2020)Affine rom er geometriske strukturer hvor vi kan snakke om at to linjer er parallelle. Parallelle linjer er definert til å ikke skjære hverandre i noen punkter. Men inspirert av visuelt perspektiv i den virkelige verden, ... -
Proof of the Equivalence of Weak Solutions of the Spatial and the Referential Formulations of Balance Laws
(Master thesis, 2023)Vi kan utlede en generell balanselov for alle ekstensive fysiske variabler ved å bruke prinsippet om at produksjonen av variabelen i et domene er balansert av fluksen av den samme variabelen over randen til domenet. Det ... -
Propagating Variance in Reinforcement Learning Using Bayesian Regression
(Master thesis, 2019)I reinforcement learning kan bruk av bayesiske metoder føre til nesten optimale resultater på exploration-exploitation trade-off. For at disse metodene skal lykkes bør man ta hensyn til forholdet mellom forskjellige ... -
Propagation of genetic variation in gene regulatory networks
(Journal article; Peer reviewed, 2013)A future quantitative genetics theory should link genetic variation to phenotypic variation in a causally cohesive way based on how genes actually work and interact. We provide a theoretical framework for predicting and ... -
Properness conditions for actions and coactions
(Journal article; Peer reviewed, 2016)Three properness conditions for actions of locally compact groups on C⇤-algebras are studied, as well as their dual analogues for coactions. To motivate the properness conditions for actions, the commutative cases (actions ... -
Properties of the closed testing procedure, with applications in pairwise comparisons and model selection
(Master thesis, 2019)I denne oppgaven diskuterer vi metoder for multippel hypotesetesting generelt, og fokuserer spesifikt på lukket testing, introdusert av Marcus et al. (1976). Ulike lukkede testmetoder ble brukt for å kontrollere familywise ... -
Prospective Teachers Solving a Percentage Problem: An Analysis of the Construction of a Praxeology
(Chapter, 2021)This study focuses on a team of three primary and lower secondary school student teachers struggling with a percentage problem. The conditions and constraints under which their inquiry unfolds and the very vicissitudes of ... -
Provable Security of Authenticated Encryption Schemes
(Bachelor thesis, 2022)Denne bacheloroppgaven ser på den bevisbare sikkerheten til randomized counter mode (RCM) og Galois counter mode (GCM). Dette gjøres ved å bruke sekvenser av spill for å strukturere bevisene. Vi vil bevise at randomized ... -
Proving Wedderburn's little theorem
(Bachelor thesis, 2020)Oppgaven handler om å bevise Wedderburn's lille teorem som sier at et hvert endelig integritetsområde er en endelig kropp. Oppgaven begynner med å bevise at endelige integritets områder er divisjonsringer. Etter det beskrives ... -
PRST - Python Reservoir Simulation Toolbox
(Master thesis, 2016)In this thesis I have developed a prototype for a software framework for the simulation of flow in porous media, based on the MATLAB Reservoir Simulation Toolkit (MRST). The software -- Python Reservoir Simulation Toolkit ... -
Pseudo-R2 for Generalized Linear Models - A Study of Various Pseudo-R2s for the Logit Model and the Log-Linear Poisson Model
(Master thesis, 2018)No equivalent measure to R2 for ordinary least square regression exist for generalized linear models to assess model fit. Therefore, this master's project addresses various pseudo-R2s for generalized linear models. Six ... -
Pseudomoments of the Riemann zeta function
(Journal article; Peer reviewed, 2018)The 2kth pseudomoments of the Riemann zeta function ζ ( s ) are, following Conrey and Gamburd, the 2 k th integral moments of the partial sums of ζ ( s ) on the critical line. For fixed k > 1 / 2 , these moments are known ... -
Psychosis and Psychotic-Like Symptoms Affect Cognitive Abilities but Not Motivation in a Foraging Task
(Peer reviewed; Journal article, 2020)Background and Objective: Goal-directed behavior is a central feature of human functioning. It requires goal appraisal and implicit cost-benefit analyses, i.e., how much effort to invest in the pursuit of a certain goal, ...