We study outer Lipschitz geometry of real semialgebraic or, more general, definable in a polynomially bounded o-minimal structure over the reals, surface germs. In particular, any Hölder triangle is either normally embedded or contains some “abnormal” arcs. show that abnormal arcs constitute finitely many “abnormal zones” space all arcs, and investigate geometric combinatorial properties establ...

Dirac semimetals lack stable surface Fermi arcs. However, they can exhibit a bulk-hinge correspondence: when terminated in rod geometry, zero energy arclike states appear on the hinges connecting projections of bulk points. In this work, authors derive symmetry indicators that determine existence higher-order arcs for general groups. The results show points with linear dispersion all directions...

Existing semantic theories of appositive relative clauses (ARCs) assume that ARCs contribute asserted but not at-issue content (Böer & Lycan [4], Bach [3], Chierchia & McConnell-Ginet [5], Potts [13], AnderBois et al. [2], Murray [12]). In this paper I demonstrate that the information status of ARCs depends on their linear position in the clause: clause-medial ARCs are not at-issue whereas clau...

We give a theory on the space of arcs X∞ of a singular variety X, based on the finiteness property of the stable points of X∞. We also show how computations can be made in this theory. As a consequence, we obtain a process of determining invariants of X from its space of arcs X∞, and from its spaces of wedges (arcs in the space of arcs). More precisely, we give two concepts of regularity for th...

Nowadays, due to the high expectations of customers in meeting their demand and the competition environment among service providers, employers are working to provide customers with new methods in the shortest possible time and in the best possible way to attract customer’s satisfaction and maximize profits. In this paper, the orienteering problem with variable profits, fractional objective func...