The development of current surgical treatments for intervertebral disc damage could benefit from virtual environment accounting for population variations. For such models to be reliable, a relevant description of the mechanical properties of the different tissues and their role in the functional mechanics of the disc is of major importance. The aims of this work were first to assess the physiol...

A well known consequence of the Borsuk-Ulam theorem is that if the d-dimensional sphere S is covered with less than d + 2 open sets, then there is a set containing a pair of antipodal points. In this paper we provide lower and upper bounds on the minimum number of open sets, not containing a pair of antipodal points, needed to cover the d-dimensional sphere n times, with the additional property...

compared to a conventional clock—N being the number of noninteracting atoms—without violating the uncertainty relation. This narrowing is explained as being due to interferences among the collective states, representing an effective √ N-fold increase in the clock frequency, without entanglement. We discuss the experimental inhomogeneities that affect the signal and show that experimental parame...

Raising pigs in large groups in deep bedded hoop barns is receiving increased attention from producers and consumers interested in systems that are perceived to provide improved welfare for pigs. Unfortunately, these systems usually produce pigs that are fatter than similar pigs raised in conventional confinement housing systems. So, our objectives were to determine if dietary manipulation may ...

Planar coincidence site lattices and modules with N -fold symmetry are well understood in a formulation based on cyclotomic fields, in particular for the class number one case, where they appear as certain principal ideals in the corresponding ring of integers. We extend this approach to multiple coincidences, which apply to triple or multiple junctions. In particular, we give explicit results ...

n-Fold integer programming is a fundamental problem with a variety of natural applications in operations research and statistics. Moreover, it is universal and provides a new, variable-dimension, parametrization of all of integer programming. The fastest algorithm for n-fold integer programming predating the present article runs in time O ( ng(A)L ) with L the binary length of the numerical par...

Mucopolysaccharidosis type IIIB is a devastating neurological disease caused by lack of the lysosomal enzyme, α-N-acetylglucosaminidase (NAGLU), leading to toxic accumulation heparan sulfate. Herein we explored pharmacological chaperone approach enhance residual activity NAGLU in patient fibroblasts. Capitalizing on three-dimensional structures two modest homoiminosugar-based inhibitors complex...

Recently, the study of patterns in inversion sequences was initiated by Corteel–Martinez–Savage–Weselcouch and Mansour–Shattuck independently. Motivated their works a double Eulerian equidistribution due to Foata (1977), we investigate several classical statistics on restricted that are either known or conjectured be enumerated Catalan, Large Schröder, Baxter Euler numbers. One two highlights o...

The impact of the hoop size on electronic and charge transport properties [5]- [4]-cyclo-N-butyl-2,7-carbazoles is reported. In these examples, a small nanohoop beneficial for good organization molecules into thin films, whereas large one increases density structural defects. More information can be found in Research Article by C. Poriel co-workers (DOI: 10.1002/chem.202300934).