We introduce the notion of low-discrepancy curves and use it to solve the problem of optimally covering space. In doing so, we extend the notion of low-discrepancy sequences in such a way that sufficiently smooth curves with low discrepancy properties can be defined and generated. Based on a class of curves that cover the unit square in an efficient way, we define induced low discrepancy curves...

The optimal path cover problem is to find a minimum number of vertex disjoint paths which together cover all the vertices of the graph. Finding an optimal path cover for an arbitrary graph is known to be NP-complete [3]. However, polynornial-time algorithms exist for trees [4], cacti [4] and for interval graphs [9]. The solution presented in [2] For circular-arc graphs is known to be wrong. In ...

todays applying concrete structures is more usual than other structures which are used in buildings as in most of the world’s countries the application ratio of concrete to steel has increased from 10 to 1. sometimes these structures require strengthening vulnerable members because of deficiency in their loading system in usual and critical conditions. there are different methods for strengthen...

The strength assessment of existing reinforced concrete structures is challenging when deterioration and detailing deficiencies are present. anchorage the internal steel reinforcement can be critical under particular confinement conditions external pressure, cover transverse reinforcement. interaction between different contributions their effects on bond were investigated with a novel experimen...

Through an experimental program of eighteen specimens presented in this paper, the bond strength between reinforcing bar and rubberized concrete was produced by adding waste tire rubber instead natural aggregate. The fine coarse aggregate replaced 0%, 25%, 50% with small pieces a tire. Natural replacement ratio, rebar size, embedded length, yield stress rebar, cover, compressive were studied in...