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A comparative study of beam element formulations for nonlinear analysis: corotatinal vs. geometrically exact formulations
(Chapter, 2017)In this work the geometrically exact three-dimensional beam theory has been used as basis for development of a family of isoparametric higher order large deformation curved beam elements. Geometrically exact three-dimensional ... -
A Roadmap to Fully Homomorphic Elections: Stronger Security, Better Verifiability
(Chapter, 2017)After the trials of remote internet voting for local elections in 2011 and parliamentary elections in 2013, a number of local referendums has renewed interest in internet voting in Norway. The voting scheme used in ... -
A Simulation Analysis of CO2 Capture and Underground Storage Monitoring in Smeaheia
(Chapter, 2019)The emissions of CO2 are an environmental problem and one possible solution is its capture and conduct underground storage (CSS). However, there is potential risk of leakage, and to aid in this challenge we propose to use ... -
A Step Towards a Reduced Order Modelling of Flow Characterized by Wakes Using Proper Orthogonal Decomposition
(Chapter; Peer reviewed, 2017)High fidelity simulations of flow might be quite demanding, because they involve up to O(106 – 109) degrees of freedom and several hours (or even days) of computational time, also on powerful hardware parallel architectures. ... -
Accounting for student perspectives in task design
(Chapter, 2015)This chapter aims to provide insights into students’ perspectives about the meanings and purposes of mathematical tasks and to understand how appropriate task design might help minimize any gaps between teacher intentions ... -
Adaptive Underwater Robotic Sampling of Dispersal Dynamics in the Coastal Ocean
(Chapter, 2022)To get a better understanding of the highly nonlinear processes driving the ocean, efficient and informative sampling is critical. By combining robotic sampling with ocean models we are able to choose informative sampling ... -
Algebraic thinking
(Chapter, 2019) -
Algebraic thinking
(Chapter, 2018)Algebra is one of the most extensively researched areas in mathematics education. Over the past 40 years, many researchers have addressed the problems associated with the learning and teaching of algebra in school and ... -
Choice of representations in combinatorial problems
(Chapter, 2022)This paper is based on classroom sessions where Norwegian 9-year-old (Grade 4) children work on combinatorial problems. The classroom sessions are part of a four-year long research project where the topic of multiplicative ... -
Complexity of operating beyond naïve empiricism when proving a conjectured formula for the general term of a geometrical pattern
(Chapter, 2009)Three student teachers have collaborated on expressing the general term of a geometrical pattern. Their underlying logic of generalisation is naïve empiricism. They are then given the task of proving the conjectured formula. ... -
Condições de uma transição para o paradigma do questionamento do mundo
(Chapter, 2022) -
Conditions for revitalizing the elementary algebra curriculum
(Chapter, 2022)Elementary algebra has been the bedrock of science and technology for centuries. But taught algebra today is much more a set of formal exercises than a modelling tool. The present study focuses on the notion of formula and ... -
Constraints to a justification of commutativity of multiplication
(Chapter, 2017)In this paper we investigate a pre-service teacher’s whole-class discussion at Grade 6, where she attempts to justify the general claim that multiplication is commutative in ℕ. Our analysis points at two conditions that ... -
Convergence Rates of a Fully Discrete Galerkin Scheme for the Benjamin–Ono Equation
(Chapter, 2018)We consider a recently proposed fully discrete Galerkin scheme for the Benjamin–Ono equation which has been found to be locally convergent in finite time for initial data in L 2 (R). By assuming that the initial data is ... -
Data-Driven Personalized Cervical Cancer Risk Prediction: A Graph-Perspective
(Chapter, 2021)Routine cervical cancer screening at regular periodic intervals leads to either over-screening or too infrequent screening of patients. For this purpose, personalized screening intervals are desirable that account for ... -
Definitions for Plaintext-Existence Hiding in Cloud Storage
(ARES 2018;Article No. 41, Chapter, 2018)Cloud storage services use deduplication for saving bandwidth and storage. An adversary can exploit side-channel information in several attack scenarios when deduplication takes place at the client side, leaking information ... -
Didactics of Mathematics as a Research Field in Scandinavia
(Chapter; Peer reviewed, 2019)This chapter presents an overview of the development of didactics of mathematics as a research domain in the three Scandinavian countries, Denmark, Norway and Sweden. This presentation is linked to the development of the ...