Identifying the borders of mathematical knowledge

Based on a divide and conquer approach, knowledge about nature has been organized into a set of interrelated facts, allowing a natural representation in terms of graphs: each `chunk` of knowledge corresponds to a node, while relationships between such chunks are expressed as edges. This organization becomes particularly clear in the case of mathematical theorems, with their intense cross-implications and relationships. We have derived a web of mathematical theorems from Wikipedia and, thanks to the powerful concept of entropy, identified its more central and frontier elements. Our results also suggest that the central nodes are the oldest theorems, while the frontier nodes are those recently added to the network. The network communities have also been identified, allowing further insights about the organization of this network, such as its highly modular structure.

Stability of periodic travelling shallow-water waves determined by Newton`s equation

We study the existence and stability of periodic travelling-wave solutions for generalized Benjamin-Bona-Mahony and Camassa-Holm equations. To prove orbital stability, we use the abstract results of Grillakis-Shatah-Strauss and the Floquet theory for periodic eigenvalue problems.

Konstruktiva och destruktiva former av språklig kommunikation i moderna arbetsorganisationer : - En teoretisk undersökning med kompletterande fallstudier av Leksands vårdcentral och Mora vårdcentral

A main aim with the essay “Constructive and destructive forms of language communication in modern work organizations” is to try to develop methods which can be used to measure and classify different forms of language communication. Methods that hopefully also can be used for analysis of in which ways dominating language communication forms affects employees health in modern work organizations.Quantitative methods have chiefly been used in the essay. A questionnaire study based on sociological research and psychoterapeutic research and practice has been used to collect data around communication in two work organizations (community health centers). Then communication has been classified in two main forms: constructive and destructive language communication.Results in the essay indicate that there are tendencies to links between high illness-absence and destructive communication in a work organization. In the work organization with the highest illness-absence, during a chosen period of inquiry (2005), a larger share of the employees stated that the communications in their organization were destructive, compared to the employees in the organization which showed the lowest illness-absence. Statistically secured links between high illness-absence and destructive communication have however not been observed.

How to avoid Copenhagen : An experimental economic approach to climate negotiations

This study got its origin in the failed climate negotiations in the Copenhagen 2009 summit. By conducting a public good game, with participants from China and Sweden, my study indicates that previous studies on public good games can predict the outcome of the game to a quit large extent even though most of my statistical tests came out statistically insignificant. My study also indicates that by framing the game as climate negotiations there were no statistical significant difference on the level of contributions in comparison to the unframed versions of the game. The awareness of the issues with emissions, global warming and other environmental problems are pretty high but even so when push comes to shove gains in the short run are prioritized to gains in the long run. There are however hypothetical willingness to come to term with the environmental issues. The results of the study indicate that the outcome of the Copenhagen summit can be avoidable but would need additional experiments made on cultural differences and behavior.