We show that in the mapping class group of a surface any relation between Dehn twists of the form T j xT k y = M (M a multitwist) is the lantern relation, and any relation of the form (TxTy) k = M (where Tx commutes with M ) is the 2-chain relation. AMS Classification 57M07; 20F38, 57N05

We combined conventional dietary sampling (2002) with stable isotope analysis of nitrogen (δ15N) and carbon (δ13C) in feathers of Leach’s storm-petrels Oceanodroma leucorhoa (2001 and 2002) to investigate temporal, sexand age-related variation in diet and trophic position, at Baccalieu Island, Newfoundland, Canada. Nestlings are fed mainly fish and crustaceans (ca. 90 and 9% by mass, respective...

Food proteins have long been recognized for their nutritional and functional properties. The nutritional properties of proteins are associated with their amino acid content. On the other hand, the functional properties of proteins relate to their contribution to the physiochemical and sensory properties of foods (Sila and Bougatef, 2016). Marine organisms contain proteins with high quantities o...

Photonic lanterns allow the decomposition of highly multimodal light into a simplified modal basis such as single-moded and/or few-moded. They are increasingly finding uses in astronomy, optics and telecommunications. Calculating propagation through photonic lantern using traditional algorithms takes $\sim 1$ hour per simulation on modern CPU. This paper demonstrates that neural networks can br...