A recommendation of: Sohrab Salehi, Fatemeh Dorri, Kevin Chern, Farhia Kabeer, Nicole Rusk, Tyler Funnell, Marc J Williams, Daniel Lai, Mirela Andronescu, Kieran R. Campbell, Andrew McPherson, Samuel Aparicio, Roth, Shah, and Alexandre Bouchard-Côté Cancer phylogenetic tree inference at scale from 1000s of single cell genomes https://doi.org/10.1101/2020.05.06.058180

We generalize the lagrangian-hamiltonian formalism of Skinner and Rusk to higher order field theories on fiber bundles. As a byproduct we solve the long standing problem of defining, in a coordinate free manner, a hamiltonian formalism for higher order lagrangian field theories, which does only depend on the action functional and, therefore, unlike previously proposed formalisms, is free from a...

A new geometrical setting for classical field theories is introduced. This description is strongly inspired in the one due to Skinner and Rusk for singular lagrangians systems. For a singular field theory a constraint algorithm is developed that gives a final constraint submanifold where a well-defined dynamics exists. The main advantage of this algorithm is that the second order condition is a...

The k-cosymplectic Lagrangian and Hamiltonian formalisms of first-order field theories are reviewed and completed. In particular they are stated for singular almost-regular systems. After that, both formalisms are unified by giving an extension of the Skinner-Rusk formulation on classical mechanics for first-order field theories. M.S. Classification (2000): 70S05, 53D05, 53Z05

THIS is the second retrospective survey of the work of the Mycological Diagnostic Service since its establishment in 1959. Its purpose is to review the isolation of dermatophytes (ringworm fungi) of both human (anthropophilic) and animal (zoophilic) origin in Northern Ireland over the period 1967 to 1973, and to compare the findings with previous reports for the province (Mackenzie and Rusk, 19...

xylitol is the first rare sugar that has global market due to having beneficial health properties and being an alternative to current conventional sweeteners. biotechnological production of xylitol by candida tropicalis dsm 7524 as an alternative to chemical method for the fermentation of xylose to xylitol was studied. banana peel was used as a substrate for xylitol production. hydrolysate was ...

In this paper, we describe a geometric setting for higher-order lagrangian problems on Lie groups. Using left-trivialization of the higher-order tangent bundle of a Lie group and an adaptation of the classical Skinner-Rusk formalism, we deduce an intrinsic framework for this type of dynamical systems. Interesting applications as, for instance, a geometric derivation of the higher-order Euler-Po...

Abstract Background Nutrition and good health are two dependent parallel axes; female’s at different ages in general the time of menopause particular has received a lot attention last several years. The objective this experimental study was to evaluate effect consuming food supplement versus lifestyle modification dietary habit on menopausal symptoms perimenopausal Egyptians females. Results Fo...