D3 is a JavaScript library for creating visualizations on the Web. This paper describes a D3 extension that generates area-proportional Euler diagrams from client-provided data. The library calculates the optimal sizes and positions of circles in the diagram, which the client can display with existing D3 functionality. The implementation is based on Leland Wilkenson’s gradient descent algorithm...

We consider the dilation property of the modulation spaces M. Let Dλ : f(t) 7→ f(λt) be the dilation operator, and we consider the behavior of the operator norm ‖Dλ‖Mp,q→Mp,q with respect to λ. Our result determines the best order for it, and as an application, we establish the optimality of the inclusion relation between the modulation spaces and Besov space, which was proved by Toft [9].

Henrik Toft Sørensen1 Søren Friborg2 Jørgen Rungby3 Jens Sandahl Christensen4 Allan Vaag5 Henning Beck-Nielsen6 1Department of Clinical Epidemiology, Aarhus University Hospital, Aarhus, 2Department of Endocrinology M, Odense University Hospital, Odense, Denmark, 3Department of Pharmacology, University of Aarhus, Aarhus, 4Department of Internal Medicine and Endocrinology, Aarhus University Hospi...

We are now looking beyond postgraduate training which ends when junior doctors attain consultant status. Medical education is open-ended. It is a continuum which extends from undergraduate through postgraduate or vocational training to continuing medical education for career, or permanent, grades. In his 'President's Review' published last year in the Proceedings of the Royal College of Physici...

Plummer and Toft conjectured in 1987 that the vertices of every 3-connected plane graph with maximum face size Δ⋆ can be colored using at most Δ⋆+2 colors such a way no is incident two same color. The conjecture has been proven for Δ⋆=3, Δ⋆=4 Δ⋆≥18. We prove Δ⋆=16 Δ⋆=17.

Anne Vested, Aarhus University Hospital, Denmark Cecilia Hoest Ramlau-Hansen, University of Aarhus, Denmark Sjurdur Frodi Olsen, Statens Serum Institut, Denmark Jens Peter Bonde, Bispebjerg Hospital of Copenhagen University, Denmark Susanne Lund Kristensen, Aarhus University Hospital, Denmark Thorhallur Ingi Halldorsson, University of Iceland, Iceland Georg Becher, Norwegian Institute of Public...