Scientific Publications in Mathematical Sciences: Nye registreringer
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An Extension of Weyl’s Equidistribution Theorem to Generalized Polynomials and Applications
(Peer reviewed; Journal article, 2020)Generalized polynomials are mappings obtained from the conventional polynomials by the use of the operations of addition and multiplication and taking the integer part. Extending the classical theorem of Weyl on equidistribution ... -
Another look at the two Egyptian pyramid volume ‘formulas’ of 1850 BCE
(Peer reviewed; Journal article, 2022) -
Isometric factorization of vector measures and applications to spaces of integrable functions
(Peer reviewed; Journal article, 2021)Let X be a Banach space, Σ be a σ-algebra, and be a (countably additive) vector measure. It is a well known consequence of the Davis-Figiel-Johnson-Pełczyński factorization procedure that there exist a reflexive Banach ... -
Grunnskolelærerstudenters erfaring med eBok-basert undervisning i matematikk
(Peer reviewed; Journal article, 2022)I denne artikkelen analyserer vi grunnskolelærerstudenters respons på en eBok-basert undervisningsform i matematikk. Denne eBoka besto av oppgaver med både skriftlige og videobaserte løsningsforslag. Oppgavene ble hentet ... -
Abstraction and embodiment: exploring the process of grasping a general
(Peer reviewed; Journal article, 2022)This paper reports from a case study which explores kindergarten children’s mathematical abstraction in a teaching–learning activity about reflection symmetry. From a dialectical perspective, abstraction is here conceived ... -
The Covid-19 Pandemic - Experiences and Expectations about Attending International Seminars and Conferences Among Teacher Educators
(Journal article; Peer reviewed, 2022)During the Covid-19 pandemic, several international physical face-to-face conferences have been cancelled, and often substituted by online events. This situation may have led to different experiences among teacher educators ... -
Girsanov theorem for multifractional Brownian processes
(Peer reviewed; Journal article, 2022) -
The sine anecdote in Kovalevskaya’s memoirs
(Peer reviewed; Journal article, 2022) -
Cronbach’s alpha in mathematics education research: Its appropriateness, overuse, and alternatives in estimating scale reliability
(Peer reviewed; Journal article, 2022) -
Random dynamical system generated by the 3D Navier-Stokes equation with rough transport noise
(Peer reviewed; Journal article, 2022)We consider the Navier-Stokes system in three dimensions perturbed by a transport noise which is sufficiently smooth in space and rough in time. The existence of a weak solution was proved in [26], however, as in the ... -
Solution properties of the incompressible Euler system with rough path advection
(Peer reviewed; Journal article, 2022)The present paper aims to establish the local well-posedness of Euler's fluid equations on geometric rough paths. In particular, we consider the Euler equations for the incompressible flow of an ideal fluid whose Lagrangian ... -
A Collaboratively-Derived Research Agenda for E-assessment in Undergraduate Mathematics
(Peer reviewed; Journal article, 2022)This paper describes the collaborative development of an agenda for research on e-assessment in undergraduate mathematics. We built on an established approach to develop the agenda from the contributions of 22 mathematics ... -
The Limit Notion at Three Educational Levels in Three Countries
(Peer reviewed; Journal article, 2022)This paper documents how the limit concept is treated in high school, at a university and in teacher education in England, France and Sweden. To this end we make use of vignettes, data-grounded accounts of the situation ... -
Variational principles for fluid dynamics on rough paths
(Peer reviewed; Journal article, 2022) -
Asymptotic geometry and Delta-points
(Peer reviewed; Journal article, 2022)We study Daugavet- and Δ-points in Banach spaces. A norm one element x is a Daugavet-point (respectively, a Δ-point) if in every slice of the unit ball (respectively, in every slice of the unit ball containing x) you can ... -
Grade 8 students appropriating Sankey diagrams: The first cycle in an educational design research
(Peer reviewed; Journal article, 2022) -
Third grade students’ multimodal mathematical reasoning when collaboratively solving combinatorial problems in small groups
(Peer reviewed; Journal article, 2022)The aim of this study is to investigate Norwegian primary school students’ multimodal mathematical reasoning when solving combinatorial problems. The data collection took place in four small groups of altogether thirteen ... -
Girsanov theorem for multifractional Brownian processes
(Peer reviewed; Journal article, 2022) -
A transition to online teaching and learning of mathematics in Norwegian higher education institutions: the perspectives of lecturers and students
(Peer reviewed; Journal article, 2022)This paper reports a study of university lecturers’ and students’ experiences of teaching and learning mathematics following the abrupt requirement to switch to online teaching in 2020. A goal of the study is to share ... -
Geometric rough paths on infinite dimensional spaces
(Peer reviewed; Journal article, 2022)Similar to ordinary differential equations, rough paths and rough differential equations can be formulated in a Banach space setting. For α ∈ (1/3,1/2), we give criteria for when we can approximate Banach space-valued ...