Browsing Institutt for matematiske fag by Title
Now showing items 1131-1150 of 2359
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Landwebers exact functor theorem
(Bachelor thesis, 2023)Når man jobber med algebraisk topologi bruker man mange invarianter. De er veldig viktige i fagfeltet. En slik invariant er kohomologi. Disse invariantene tar inn topologiske rom og sender ut abelske grupper. Med en passende ... -
Language elements helping to see enlargement as a multiplicative situation
(Chapter, 2020)This paper presents an analysis of Grade 5 pupils' work with similarity, based on an adaptation of Brousseau's classical puzzle. My main interest is in investigating the pupils' language repertoire and mathematical strategies ... -
Large greatest common divisor sums and extreme values of the Riemann zeta function
(Journal article; Peer reviewed, 2017) -
Large oscillations of the argument of the Riemann zeta-function
(Journal article; Peer reviewed, 2021) -
A large scale approach to decomposition spaces
(Peer reviewed; Journal article, 2022)Decomposition spaces are a class of function spaces constructed out of “well-behaved” coverings and partitions of unity of a set. The structure of the covering determines the properties of the decomposition space. Besov ... -
Large Scale Tertiary CO2 EOR in Mature Water Flooded Norwegian Oil Fields
(Journal article; Peer reviewed, 2017)A technical-economical model for a large-scale infrastructure combining CO2 EOR and aquifer storage has been used to construct a scenario including 23 Norwegian Continental Shelf oil fields that have been identified as ... -
Large values of the argument of the Riemann zeta-function and its iterates
(Journal article; Peer reviewed, 2021) -
Large-time behaviour for anisotropic stable nonlocal diffusion problems with convection
(Journal article; Peer reviewed, 2023)We study the large-time behaviour of nonnegative solutions to the Cauchy problem for a nonlocal heat equation with a nonlinear convection term. The diffusion operator is the infinitesimal generator of a stable Lévy process, ... -
Lasso-Path and Taut String Algorithm for One-Dimensional Total Variation Regularization
(Master thesis, 2017)In this thesis, we consider the minimization problem arising from a linear operator equation when applying Tikhonov regularization. In particular, we study the one-dimensional case with total variation penalization. We ... -
LATTICE THEORY OF TORSION CLASSES: BEYOND τ-TILTING THEORY
(Peer reviewed; Journal article, 2023) -
Lattice-Based Authenticated Key Exchange with Tight Security
(Peer reviewed; Journal article, 2023)We construct the first tightly secure authenticated key exchange (AKE) protocol from lattices. Known tight constructions are all based on Diffie-Hellman-like assumptions. Thus, our protocol is the first construction with ... -
Lattice-Based Proof of Shuffle and Applications to Electronic Voting
(Peer reviewed; Journal article, 2021)A verifiable shuffle of known values is a method for proving that a collection of commitments opens to a given collection of known messages, without revealing a correspondence between commitments and messages. We propose ... -
Lattice-Based Signatures with Tight Adaptive Corruptions and More
(Peer reviewed; Journal article, 2022)We construct the first tightly secure signature schemes in the multi-user setting with adaptive corruptions from lattices. In stark contrast to the previous tight constructions whose security is solely based on number-theoretic ... -
Lattice-Based Zero Knowledge
(Master thesis, 2020)Vi presenterer 3 protokoller som benytter seg av lattice-basert zero-knowledge. Disse protokollene baserer sin sikkerhet på at det er vanskelig å løse det tilnærmede korteste vektor problemet, og kort heltallsløsning ... -
Lattice-Based Zero-Knowledge Proofs From Commitments
(Master thesis, 2023)Hovedformålet med denne oppgaven er å studere den nyeste lattice baserte zero-knowledge protokollen som ble introdusert av Lyubashevsky, Nguyen og Plançon. Vi starter med å introdusere de kryptografiske definisjonene og ... -
Lawson schemes for highly oscillatory stochastic differential equations and conservation of invariants
(Peer reviewed; Journal article, 2022)In this paper, we consider a class of stochastic midpoint and trapezoidal Lawson schemes for the numerical discretization of highly oscillatory stochastic differen- tial equations. These Lawson schemes incorporate both the ... -
Lax monoidal adjunctions, two-variable fibrations and the calculus of mates
(Peer reviewed; Journal article, 2023) -
Learning algebra with Minecraft: A comparative case study on the use of artifacts in pattern generalization activities
(Master thesis, 2022)Målet med denne studien har vært å finne ut hvordan elever på ungdomsskolen arbeider med algebraisk mønster-generalisering ved hjelp av tre gitte artefakter, Minecraft, centikuber samt papir og blyant. Klassen ble delt i ... -
Learning from Imbalanced Data, with a Case Study in Finance
(Master thesis, 2019)Denne avhandlingen undersøker noen av utfordringene ved å klassifisere et ubalansert datasett, og de valgte algoritmene er logistisk regresjon og random forests (en metode basert på valgtrær). Hovedproblemet å håndtere når ... -
Learning Hamiltonian Systems with Mono-Implicit Runge-Kutta Methods
(Journal article, 2023)Numerical integrators could be used to form interpolation conditions when training neural networks to approximate the vector field of an ordinary differential equation (ODE) from data. When numerical one-step schemes such ...