We prove existence of doubly connected V-states for the planar Euler equations which are not annuli. The proof proceeds by bifurcation from annuli at simple “eigenvalues”. The bifurcated V -states we obtain enjoy a m-fold symmetry for some m ≥ 3. The existence of doubly connected V -states of strict 2-fold symmetry remains open.

To examine the relationship between freshwater entry and otolith annular structures, a total of 113 naturally recruited European eels Anguilla anguilla from Lithuania and Latvia that entered fresh water at least once were collected. In some individuals (8.3-11.3%), the first freshwater entry coincided with a dark check that was distinctly different from neighbouring annuli. In most individuals ...

Endo [5] proved that every toroidal graph has a book embedding with at most seven pages. In this paper, we prove that every toroidal bipartite graph has a book embedding with at most five pages. In order to do so, we prove that every bipartite torus quadrangulation Q with n vertices admits two disjoint essential simple closed curves cutting the torus into two annuli so that each of the two annu...

If one or more parasitised nests were found in an annulus which had few nests dug in total, the results were pooled with those of an adjacent annulus in order to give a total of at least 10 nests before calculating the dispersal distance. The annuli were 0.2 km wide up to 2 km from the release site then 0.5 km wide thereafter (see Table 1). Aggregating the data and annuli into fewer groups with...

Given two annuli

BACKGROUND Dysalotosaurus lettowvorbecki is a small ornithopod dinosaur known from thousands of bones and several ontogenetic stages. It was found in a single locality within the Tendaguru Formation of southeastern Tanzania, possibly representing a single herd. Dysalotosaurus provides an excellent case study for examining variation in bone microstructure and life history and helps to unravel th...