Faculty of Science and Technology
Delarkiv i dette delarkivet
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Department of Chemistry [594]
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Department of Earth Science [1274]
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Department of Informatics [1277]
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Department of Mathematics [1158]
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Geophysical Institute [1469]
Samlinger i dette delarkivet
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Mineral composition and fluid inclusion characteristics of the extinct Deep Insight Hill seafloor massive sulfide deposit, Mohns Ridge
(Master thesis, 2024-12-18)Deep Insight Hill (72°49 ́N, 1°5 ́E) is a newly discovered extinct hydrothermal system located in the central part of the Mohns Ridge, the Arctic Mid Ocean Ridges. The deposit has been interpreted to be located on top of, ... -
Via Order Markets Towards Price-Taking Equilibrium
(Journal article; Peer reviewed, 2024)Can order markets lead participants towards price-taking equilibrium? Viewing market sessions as steps of iterative algorithms, this paper indicates positive prospects for convergence. Mathematical arguments turn on ... -
Further improvements of the estimation of key enumeration with applications to solving LWE
(Journal article; Peer reviewed, 2024)In post-quantum cryptography, Learning With Errors (LWE) is one of the dominant underlying mathematical problems. The dual attack is one of the main strategies for solving the LWE problem, and it has recently gathered ... -
Identifying codewords in general Reed-Muller codes and determining their weights
(Journal article; Peer reviewed, 2024)Determining the weight distribution of all Reed-Muller codes is a huge and exciting problem that has been around since the sixties. Some progress has been made very recently, but we are still far from a solution. In this ... -
Rigorous derivation of weakly dispersive shallow-water models with large amplitude topography variations
(Journal article; Peer reviewed, 2024)We derive rigorously from the water waves equations new irrotational shallow-water models for the propagation of surface waves in the case of uneven topography in horizontal dimensions one and two. The systems are made to ... -
Long time well-posedness and full justification of a Whitham-Green-Naghdi system
(Journal article; Peer reviewed, 2024)We establish the full justification of a ‘‘Whitham-Green-Naghdi’’ system modeling the propagation of surface gravity waves with bathymetry in the shallow water regime. It is an asymptotic model of the water waves equations ... -
Strong domination number of some operations on a graph
(Journal article; Peer reviewed, 2024)Let $G=(V(G),E(G))$ be a simple graph. A set $D\subseteq V(G)$ is a strong dominating set of $G$, if for every vertex $x\in V(G)\setminus D$ there is a vertex $y\in D$ with $xy\in E(G)$ and $\deg(x)\leq \deg(y)$. The strong ... -
Refining the diffusive compressible Euler model
(Journal article; Peer reviewed, 2024)We revisit the molecular arguments underpinning the diffusive compressible Euler model (proposed in Svärd (2018)), and conclude that a heat diffusive term is not accounted for in the energy equation of the original model. ... -
Evolution and maintenance of mtDNA gene content across eukaryotes
(Journal article; Peer reviewed, 2024)Across eukaryotes, most genes required for mitochondrial function have been transferred to, or otherwise acquired by, the nucleus. Encoding genes in the nucleus has many advantages. So why do mitochondria retain any genes ... -
A fixed-stress splitting method for nonlinear poroelasticity
(Journal article; Peer reviewed, 2024)In this paper we consider a nonlinear poroelasticity model that describes the quasi-static mechanical behaviour of a fluid-saturated porous medium whose permeability depends on the divergence of the displacement. Such ... -
Fundamentals of Norwegian CS1
(Journal article; Peer reviewed, 2024)The introductory programming course, known as CS1, has evolved considerably since its inception, with diverse opinions on the essential concepts that should be included. This study aims to identify the fundamental concepts ... -
Increasing seasonal variation in the extent of rivers and lakes from 1984 to 2022
(Journal article; Peer reviewed, 2024)Knowledge of the spatial and temporal distribution of surface water is important for water resource management, flood risk assessment, monitoring ecosystem health, constraining estimates of biogeochemical cycles and ... -
Design and performance of ELSA v2.0: an isochronal model for ice-sheet layer tracing
(Journal article; Peer reviewed, 2024)We provide a detailed description of the ice-sheet layer age tracer Englacial Layer Simulation Architecture (ELSA) – a model that uses a straightforward method to simulate the englacial stratification of large ice sheets ... -
EquinorQA: Large Language Models for Question Answering Over Proprietary Data
(Chapter, 2024)Large Language Models (LLMs) have become the state-of-the-art technology in a variety of language understanding tasks. Accordingly, many commercial organizations have been increasingly trying to integrate LLMs in multiple ... -
On the vector subspaces of \(\mathbb {F}_{2^n}\) over which the multiplicative inverse function sums to zero
(Journal article; Peer reviewed, 2024)We study the behavior of the multiplicative inverse function (which plays an important role in cryptography and in the study of finite fields), with respect to a recently introduced generalization of almost perfect ... -
Super domination: Graph classes, products and enumeration
(Journal article; Peer reviewed, 2024)The dominating set problem (DSP) is one of the most famous problems in combinatorial optimization. It is defined as follows. For a given graph G = (V , E), a dominating set of G is a subset S ⊆ V such that every vertex in ... -
Characterising Modal Formulas with Examples
(Journal article; Peer reviewed, 2024)We study the existence of finite characterisations for modal formulas. A finite characterisation of a modal formula φ is a finite collection of positive and negative examples that distinguishes φ from every other, ... -
Optimal Robust Simplifications for Explaining Time Series Classifications
(Journal article; Peer reviewed, 2024)Given a Time Series Classifier (TSC) and three parameters that balance between error, simplicity and robustness, we define an optimization problem over all possible ways of simplifying a given time series ts into straight-line ... -
Arithmetization-oriented APN permutations
(Journal article; Peer reviewed, 2024)Recently, many cryptographic primitives such as homomorphic encryption (HE), multi-party computation (MPC) and zero-knowledge (ZK) protocols have been proposed in the literature which operate on the prime field \({\mathbb ... -
On the Square Root Computation in Liber Abaci and De Practica Geometrie by Fibonacci
(Journal article; Peer reviewed, 2024)We study the square root computation by Leonardo Fibonacci (or Leonardo of Pisa) in his MSS Liber Abaci from c1202 and c1228 and De Practica Geometrie from c1220. In this MSS, Fibonacci systematically describes finding the ...
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