Abstract Topological optimization (TO) is commonly used to design a part for additive manufacturing (AM), but rarely entire systems including several parts. How can be optimized mechanical system in which each changes the boundary conditions? A Design method called TOMS (Topological Optimization of Mechanical System) has been developed take into account variation conditions when optimizing When...

AbstraeL The nonrevisiting path conjecture for polytopes, which is equivalent to the Hirsch conjecture, is open. However, for surfaces, the nonrevisiting path conjecture is known to be true for polyhedral maps on the sphere, projective plane, toms, and a Klein bottle. Barnette has provided counterexamples on the orientable surface of genus 8 and nonorientable surface of genus 16. In this note t...

Ilijas Farah, Andrew Toms and Asger Törnquist (Appendix with Caleb Eckhardt) 1 Department of Mathematics and Statistics, York University, 4700 Keele Street, North York, Ontario, Canada, M3J 1P3, and Matematicki Institut, Kneza Mihaila 34, Belgrade, Serbia ([email protected]) and 2 Department of Mathematics, Purdue University, 150 N. University St., West Lafayette, IN 47902, USA (atoms@pu...

We demonstrate that the perforative phenomena shown to occur among simple amenable C∗-algebras by Villadsen and Toms can be realized within a dynamical framework. More specifically, we construct a minimal homeomorphism for which the K0 group of the crossed product fails to be weakly unperforated, and a minimal homeomorphism for which the crossed product has the same Elliott invariant as an AT-a...

Long time series of ozone and NO2 total column measurements in the southern tropics are available from two ground-based SAOZ (Système d’Analyse par Observation Zénithale) UV-visible spectrometers operated within the Network for the Detection of Atmospheric Composition Change (NDACC) in Bauru (22 S, 49 W) in S-E Brazil since 1995 and Reunion Island (21 S, 55 E) in the S-W Indian Ocean since 1993...

This study examines the relationship between above-market price (or overpricing), along with various housing attributes, and time on the market (TOM). The study covers nearly 4,000 transactions of marketed domestic units of different living tenures, flat sizes, price ranges, and other physical characteristics in the Hong Kong residential property market. The results show that factors such as th...