Browsing Institutt for matematiske fag by Title
Now showing items 822-841 of 2360
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Fourier Interpolation with Zeros of Zeta and L-Functions
(Peer reviewed; Journal article, 2022)We construct a large family of Fourier interpolation bases for functions analytic in a strip symmetric about the real line. Interesting examples involve the nontrivial zeros of the Riemann zeta function and other L-functions. ... -
Fourier optimization and quadratic forms
(Peer reviewed; Journal article, 2021)We prove several results about integers represented by positive definite quadratic forms, using a Fourier analysis approach. In particular, for an integer ℓ≥1, we improve the error term in the partial sums of the number ... -
Fourier series and Hilbert spaces
(Bachelor thesis, 2022)Denne bacheloroppgaven gir en oversikt over konvergensen av Fourier-serier og dens anvendelse i Hilbert-rom sammen med to kjerner, Dirichlet-kjernen og Fejér-kjernen. Nødvendige teoremer som konvergenssetningen, Bessels ... -
Fourierhyperfunksjoner
(Master thesis, 2008)Oppgaven handler om fouriertransformasjon av generaliserte funksjoner, med spesiell vekt på fouriertransformasjon av hyperfunksjoner. Transformasjonen på hyperfunksjoner er deretter sammenlignet med Carlemans fouriertransform, ... -
Fra kjerneelementer til klasserom - En studie av elevers muligheter for å lære matematikk i tråd med intensjonene i Kunnskapsløftet 2020.
(Master thesis, 2021)Denne masteroppgaven har som formål å undersøke hvilken rolle Kunnskapsløftet 2020, som ny læreplan, spiller i undervisningen i skolen. Spesielt har jeg sett på hvordan læreren påvirkes av læreplanen, og hvilke muligheter ... -
A fractal uncertainty principle for the short-time Fourier transform and Gabor multipliers
(Peer reviewed; Journal article, 2023)We study the fractal uncertainty principle in the joint time-frequency representation, and we prove a version for the Short-Time Fourier transform with Gaussian window on the modulation spaces. This can equivalently be ... -
Fragmented tropical forests lose mutualistic plant–animal interactions
(Journal article; Peer reviewed, 2019)Aim Forest fragmentation is among the principal causes of global biodiversity loss, yet how it affects mutualistic interactions between plants and animals at large spatial scale is poorly understood. In particular, ... -
Free algebras through Day convolution
(Peer reviewed; Journal article, 2022) -
Friezemønstre og triangulerte polygon
(Master thesis, 2015)Friezes ble introdusert av Conway og Coxeter. De antyder at det finnes en bijeksjon til triangulerte polygon i en oppgavesamling. SL2-tilings med nok enere ble introdusert av Holm og Jørgensen, som viste at det finnes en ... -
From Bilinear Regression to Inductive Matrix Completion: A Quasi-Bayesian Analysis
(Peer reviewed; Journal article, 2023)In this paper, we study the problem of bilinear regression, a type of statistical modeling that deals with multiple variables and multiple responses. One of the main difficulties that arise in this problem is the presence ... -
From classical tilting to two-term silting
(Journal article; Peer reviewed, 2019)We survey some recent results generalizing classical tilting theory to a theory of two-term silting objects. In particular, this includes a generalized Brenner-Butler theorem, and a homological characterization of algebras ... -
From panic to planning: extending the notion of presence to create sustainable digital learning environments
(Peer reviewed; Journal article, 2021)The transition from physical learning spaces to fully digital learning environments in annus horribilis 2020 has challenged Institutions and educators in re-thinking teaching in a time of crisis. E-learning is now phasing ... -
Front Tracking for Hyperbolic Conservation Laws
(Applied mathematical sciences;, Book, 2015) -
Full Approximation Scheme for Reservoir Simulation
(Journal article; Peer reviewed, 2018)Simulation of multiphase flow and transport in porous rock formations give rise to large systems of strongly coupled nonlinear equations. Solving these equations is computationally challenging because of orders of magnitude ... -
Full implicit WENO scheme for two phase flow in reservoir simulation
(Master thesis, 2014)This master thesis studies the use of essentially non-oscillatory schemes for the spatial discretization in a full implicit two-phase flow model used to solve flow and transport in porous media. The implicit model is based ... -
Fully Homomorphic Encryption
(Master thesis, 2015)I 2009 presenterte Craig Gentry det første krypteringssystemet som klarte å utføre vilkårlig mange homomorfe operasjoner, og i prosessen lagde han også en framgangsmåte på hvordan man konstruerer et slikt system. I denne ... -
Fully Homomorphic Encryption
(Master thesis, 2017)In this paper we consider fully homomorphic encryption based on the learning with errors problem. We present the problem as introduced by Oded Regev in 2009 and explain a simple public key cryptosystem based on it. We show ... -
Fully homomorphic encryption with applications to electronic voting
(Doctoral theses at NTNU;2018:33, Doctoral thesis, 2018) -
FULLY INHOMOGENEOUS MULTIPLICATIVE DIOPHANTINE APPROXIMATION OF BADLY APPROXIMABLE NUMBERS
(Journal article; Peer reviewed, 2021)We establish a strong form of Littlewood's conjecture with inhomogeneous shifts, for a full-dimensional set of pairs of badly approximable numbers on a vertical line. We also prove a uniform assertion of this nature, ...