We consider packing and covering optimization problems over constraints in consecutive and circular 1’s. Such problems arise in the context of shift scheduling, and in problems related to interval graphs. Previous approaches to this problem depended on solving several minimum cost network flow problems. We devise here substantially more efficient and strongly polynomial algorithms based on para...

In the title co-crystal, C(3)H(7)NO(2)·C(9)H(10)O(3), the (S)-alanine mol-ecule exists in the zwitterionic form stabilized by two pairs of N(+)-H⋯O(-) hydrogen bonds and an electrostatic inter-action between the ammonium center and the carboxyl-ate anion, forming a sheet along the ab plane. The carboxyl group of the (S)-2-phen-oxy-propionic acid mol-ecule is connected to the top and bottom of t...

The models referred to in the main text, simulate the coupling of mechanical and molecular forces in the early stages of the development of mammalian embryo. The assumptions made in describing single cell mechanics follow the postulates introduced in [1, 2]. As in [1, 2], we describe the cell as an incompressible ellipsoid whose elastic response is characterized by three orthogonal springs plac...

We show that in the quadratic curvature theory of gravity, or simply $R_{\mu \nu} ^2$ tree-level unitariy bound (tree unitarity) is violated UV region but an analog for $S$-matrix unitarity ($SS^{\dagger} = 1$) satisfied. This renormalizable, and hence failure tree a counter example Llewellyn Smith's conjecture on relation between them. have recently proposed new gives same conditions as renorm...

The Cassini spacecraft discovered many close-in small satellites in Saturnian system, and several of them exhibit exotic orbital states due to interactions with Mimas the oblateness planet. This work is devoted Methone, which currently involved a 15:14 mean-motion resonance Mimas. We give an in-deep study on current orbit Methone by analyzing identifying short, resonant long-term gravitational ...