S. Xu, H. Zhu, M. Styner, W. Gao, V. Jewells, D. Shen, and W. Lin Computer Science, University of North Carolina at Chapel Hill, Chapel Hill, NC, United States, Biostatistics, University of North Carolina at Chapel Hill, United States, Psychiatry, University of North Carolina at Chapel Hill, United States, Radiology, University of North Carolina at Chapel Hill, United States, Neuroradiology, Un...

Background:   To assess the outcome of the remplissage arthroscopic surgical method in patients with anterior shoulder dislocation associated with Hill-Sachs lesion.     Methods:   Ten patients with anterior shoulder dislocations and Hill-Sachs lesions were entered into this study and were operated on by the remplissage arthroscopic surgical method. They were followed up 22 months after surgery...

The dynamic instability of single-walled carbon nanotubes (SWCNT), double-walled carbon nanotubes (DWCNT) and triple-walled carbon nanotubes (TWCNT) embedded in an elastic medium under combined static and periodic axial loads are investigated using Floquet–Lyapunov theory. An elastic multiple-beam model is utilized where the nested slender nanotubes are coupled with each other through the van d...

We develop foundations for the category theory of $\infty$-categories parametrized by a base $\infty$-category. Our main contribution is indexed homotopy limits and colimits, which specializes to $G$-colimits $G$ finite group when chosen be orbit $G$. apply this show that $G$-$\infty$-category $G$-spaces freely generated under contractible $G$-space, thereby affirming conjecture Mike Hill.