House of Graphs 2.0: A database of interesting graphs and more
status: accepted
Understanding The Odds: Statistics in Public Health
Published in Frontiers for Young Minds
In the world of public health and medicine, researchers are often trying to discover new ways of understanding and preventing diseases and other negative health outcomes. When public health researchers want to examine the relationship between some sort of exposure, like smoking, and a disease, such as lung cancer, they will often start by calculati...
A skew-symmetric energy and entropy stable formulation of the compressible Euler equations
We show that a specific skew-symmetric form of nonlinear hyperbolic problems leads to energy and entropy bounds. Next, we exemplify by considering the compressible Euler equations in primitive variables, transform them to skew-symmetric form and show how to obtain energy and entropy estimates. Finally we show that the skew-symmetric formulation lea...
Sur les démonstrations du théorème de Borel-Lebesgue
Nous considérons ici le théorème de Borel-Lebesgue sur le plan historique. En particulier, nous présentons les démonstrations essentiellements dues à Cousin et Lebesgue. Finalement, nous donnons une démonstration permettant d’adapter la démonstration de Lebesgue au cas multidimensionnel sans faire appel à des outils sophistiqués tels que le théorèm...
Local existence of a solution to a free boundary problem describing migration into rubber with a breaking effect
We consider a one-dimensional free boundary problem describing the migration of diffusants into rubber. In our setting, the free boundary represents the position of the front delimitating the diffusant region. The growth rate of this region is described by an ordinary differential equation that includes the effect of breaking the growth of the diff...
Användning av variationsteori i matematikläroböcker på gymnasienivå / Variation theory in mathematics textbooks used for...
I denna studie undersöktes i vilken utsträckning variationsteori används i matematikläroböcker. Specifikt studerades det avsnitt som i gymnasiekursen Matematik 1c handlar om potenslagar – ett ytterst viktigt område; både i sig själv och som grund för framtida matematikstudier. Tre matematikläromedel användes vid analysen; inte främst i jämförande s...
Matematikångest i F-3 - forskning och faktorer / Mathematics anxiety in F-3 - research and factors
Matematikångest är ett område som väckt intresse för oss då vi båda observerat denna ångest hos elever under vår verksamhetsförlagda utbildning. I denna kunskapsöversikt var syftet att ta reda på vad forskning säger om relationen mellan matematikångest och prestation samt vilka faktorer som kan bidra till att matematikångest uppstår. Det mynnade ut...
Nonparametric density estimation and risk quantification from tabulated sample moments
peer reviewed / Continuous data such as losses are often summarized by means of histograms or displayed in tabular format: the range of data is partitioned into consecutive interval classes and the number of observations falling within each class is provided to the analyst. This paper investigates how the additional report of sample moments within ...
Uniform matrix product states from an algebraic geometer's point of view
status: accepted
Solving Ordinary Differential Equations and Systems using Neural Network Methods / Att Lösa Ordinära Differentialekvatio...
The applications of differential equations are many. However, many differential equations modelling real-world scenarios are very complex and it can be of great difficulty to find an exact solution if one even exists. Thus, it is of importance to be able to approximate solutions of differential equations. Here, a method using neural networks is exp...
