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The Smart-Vercauteren Fully Homomorphic Encryption Scheme
(Master thesis, 2012)We give a review of the Smart-Vercauteren fully homomorphic encryp-tion scheme presented in 2010. The scheme follows Craig Gentry sblueprint of first defining a somewhat homomorphic encryption scheme,and prove that it is ... -
The Social and Spiritual Situation in Lilleby – A Statistical Simulation Study with a Questionnaire Survey
(Master thesis, 2020)Oslo Monitor 1.0 ble publisert i januar 2018 av Tankesmien Skaperkraft. Rapporten beskriver den åndelige situasjonen, den sosiale smerten og de kulturelle utfordringene i Oslo. Data presentert i rapporten tildeles en ... -
The Spanier-Whitehead category
(Bachelor thesis, 2022)Vi går gjennom konstruksjonen av Spanier-Whitehead kategorien, og viser at den er triangulert. -
The Stone - von Neumann Theorem.
(Master thesis, 2009)The purpose of this thesis is to establish the Stone - von Neumann Theorem for locally compact abelian groups. The Stone - von Neumann Theorem states the requirements for when unitary representations of a locally compact ... -
The Uncertainty Principle: A Survey and Exploration of Orthonormal Functions
(Master thesis, 2008)We give a survey of the classical uncertainty principle and uncertainty principles related to orthonormal sequences of functions. Furthermore, we present a new result concerning the minimality of additive uncertainty for ... -
The Ungraded Derived Category
(Master thesis, 2012)By means of the ungraded derived category we prove that the orbit category of the bounded derived category of an iterated tilted algebra with respect to translation is triangulated in such a way that the canonical functor ... -
The use of Bayesian Belief Networks for combining disparate sources of information in the safety assessment of software based systems
(Dr. ingeniøravhandling, 0809-103X; 2002:35, Doctoral thesis, 2002)The objective of the research has been to investigate the possibility to transfer the requirements of a software safety standard into Bayesian belief networks (BBNs). The BBN methodology has mainly been developed and applied ... -
The use of extreme value statistics for calculating risk measures in finance
(Master thesis, 2018)Whatever his strategy is, an investor has to know the risk he will deal with in taking a short or long position on an asset or a derivative. On the financial market, the Value at Risk is one of the values used to evaluate ... -
The use of extreme value statistics in risk management of the electricity market
(Master thesis, 2013)In this thesis, we investigate the success of extreme value theory in managing electricity price risk. We specifically deals with the behaviour of the tails of financial time series.The theory provides well established ... -
The use of logistic regression and quantile regression in medical statistics
(Master thesis, 2017)The main goal of this thesis is to compare and illustrate the use of logistic regression and quantile regression on continuous outcome variables. In medical statistics, logistic regression is frequently applied to continuous ... -
The value of information for correlated GLMs
(Journal article, 2017)We examine the situation where a decision maker is considering investing in a number of projects with uncertain revenues. Before making a decision, the investor has the option to purchase data which carry information about ... -
The Value of Snow Measurements in Scheduling of Hydropower Plants
(Master thesis, 2016)The main goal of the thesis is to study the value of snow measurements in the scheduling of hydropower plants. This is done by implementing an approximative Least-Square Monte Carlo(LSMC) method to calculate the scheduling. ... -
The Virtual Element Method as a Common Framework for Finite Element and Finite Difference Methods - Numerical and Theoretical Analysis
(Master thesis, 2016)Consistent discretizations of differential equations on polygonal and polyhedral grids is an active area of research. This is of particular interest in applications where the grid is constructed to capture the physical ... -
The WE-Study: does botulinum toxin A make walking easier in children with cerebral palsy?: Study protocol for a randomized controlled trial
(Journal article; Peer reviewed, 2017)Background Intramuscular injections of botulinum toxin A (BoNT-A) have been a cornerstone in the treatment of spasticity for the last 20 years. In Norway, the treatment is now offered to two out of three children with ... -
The Zak Transform as an Isomorphism
(Bachelor thesis, 2024)Vi bruker verktøy fra tids-frekvensanalyse og ikke-kommutativ geometri til å eksplisitt vise at den matrise-evaluerte Zak-transformasjonen er en isomorfi mellom Schwartz-rommet og glatte seksjoner av en vektorbundt over ... -
A theoretical examination of localized nanoscale induction by single domain magnetic particles
(Peer reviewed; Journal article, 2022)Single domain magnetic nanoparticles are increasingly investigated as actuators of biological and chemical processes that respond to externally applied magnetic fields. Although their localized effects have often been ... -
Theory and Applications of Conservation Laws
(Master thesis, 2014)This thesis examines the properties, applications and usefulness of the different conservation lawsin everyday life from our homes to the industry.We investigate some mathematical derivations of linear and non-linear partial ... -
Theory of didactical situations as a tool to understand and develop mathematics teaching practices
(Journal article; Peer reviewed, 2018)This article aims to discuss how the theory of didactical situations in mathematics (TDS1 ) can be used to answer research questions concerning regular teaching practices, production of resources for regular teaching, and ... -
Thermal flow in fractured porous media and operator splitting
(Master thesis, 2014)Thermal flow in fractured porous medium is an area of interest for both the oil and the geothermal energy industry. The mathematical model consists of multiple equations, often various conservation laws and constitutive ...