Fat Struts: Constructions and an Achievable Bound
نویسندگان
چکیده
Given a lattice Λ ⊂ R, a cylinder anchored at two lattice points is called a strut (or Λ-strut to be precise) if its interior does not contain a lattice point. We are interested in determining the maximum radius for a strut of given length. Optimal Z-struts are constructed for n = 3, 4. We also derive, through a non-constructive but elementary argument, an achievable upper bound on the product l n−1 where l and are the length and radius of the strut, respectively.
منابع مشابه
An Investigation into the Performance of Excavation with Inclined Struts Connected to Adjacent Buildings
One practical excavation support system is the inclined struts connected to adjacent buildings. This method is very common in small excavations, because of simplicity and minimum cost, when soil is cohesive and depth of excavation is less than stability depth (Hcr) but adjacent structures is at risk of damage due to weakness, old age or lack of proper skeleton frame. Although this method ...
متن کاملOn the Achievable Rate-Regions for the Gaussian Two-way Diamond Channels
In this channel,we study rate region of a Gaussian two-way diamond channel which operates in half-duplex mode. In this channel, two transceiver (TR) nodes exchange their messages with the help of two relay nodes. We consider a special case of the Gaussian two-way diamond channels which is called Compute-and-Forward Multiple Access Channel (CF-MAC). In the CF-MAC, the TR nodes transmit their mes...
متن کاملUltimate Load Capacity and Behavior of Thin-Walled Curved-Steel Square Struts, Subjected to Compressive Load
There have been some experimental tests on hollow curved-steel struts with thin-walled square sections, in order to investigate their general behavior, particularly their capacity for bearing differing loads. One set of square tubes are cold-formed into segments of circular arcs with curvature radii, equal to 4000 mm. Different lengths of curved struts are fabricated so as to cover a practical ...
متن کاملVascular endothelial growth factor-bound stents: application of in situ capture technology of circulating endothelial progenitor cells in porcine coronary model.
OBJECTIVES We evaluated the in vivo performance of a newly devised vascular endothelial growth factor (VEGF)-bound stent in a porcine coronary model. BACKGROUND An anti-CD34 antibody-bound stent, which captures endothelial progenitor cells (EPCs) to accelerate tissue formation, did not reduce intimal hyperplasia. By targeting the VEGF receptor, which is expressed on endothelial-lineage cells,...
متن کاملCold standby redundancy optimization for nonrepairable series-parallel systems: Erlang time to failure distribution
In modeling a cold standby redundancy allocation problem (RAP) with imperfect switching mechanism, deriving a closed form version of a system reliability is too difficult. A convenient lower bound on system reliability is proposed and this approximation is widely used as a part of objective function for a system reliability maximization problem in the literature. Considering this lower bound do...
متن کامل