Abstract Lattice structures are 3D open topologically ordered geometries that repeat an elementary cell in a predefined space. Struts connected specific nodes define the cell. typical represent design freedom unlocked by additive manufacturing (AM) and unachievable with traditional processes. By tuning morphometric parameters of cell, its mechanical response can be significantly altered. Becaus...

A plethora of work has been dedicated to the analysis of cell behavior on substrates with ordered topographical features. However, the natural cell microenvironment is characterized by biomechanical cues organized over multiple scales. Here, randomly rough, self-affinefractal surfaces are generated out of silicon,where roughness Ra and fractal dimension Df are independently controlled. The prol...

It is a well-known result of Auslander and Reiten that contravariant finiteness the class P ∞ fin (of finitely generated modules finite projective dimension) over an Artin algebra sufficient condition for validity finitistic dimension conjectures. Motivated by fact dimensions can alternatively be computed Gorenstein dimension, we examine in this work counterpart Auslander–Reiten condition, name...

analyses and investigations on river flow behavior are major issues in design, operation and studies related to water engineering. thus, recently the application of chaos theory and new techniques, such as chaos theory, has been considered in hydrology and water resources due to relevant innovations and ability. this paper compares the performance of chaos theory with anfis model and discusses ...

We present findings from an analysis of the fractal dimension solar supergranulation as a function latitude, supergranular cell size and rotation, employing spectroheliographic data in Ca II K line cycle no. 23. find that tends to decrease about 1.37 at equator 1 20 degree latitude either hemisphere, suggesting rotation rate has effect augmenting irregularity boundaries. Considering is directly...

objective: the development of combining mesenchymal stem cells (mscs) with surface modified three-dimensional (3d) biomaterial scaffold provides a desirable alternative for replacement of damaged and diseased tissue. nanofibrous scaffolds serve as suitable environment for cell attachment and proliferation due to their similarity to the physical dimension of the natural extracellular matrix. in ...

this study was carried out on olive trees cv. amygdalifolia, to investigate the effect of spraying potassium nitrate, kno3, and zinc sulfate, znso4, on the fruit weight, dimension and volume. the plants were sprayed with 0, 0.5, 1.0 and 1.5% kno3 and 0, 0.25, 0.50 and 0.75% znso4 and their combinations in august about halfway through the fruit growth period. the highest fruit weight was observe...

a set $wsubseteq v(g)$ is called a resolving set for $g$, if for each two distinct vertices $u,vin v(g)$ there exists $win w$ such that $d(u,w)neq d(v,w)$, where $d(x,y)$ is the distance between the vertices $x$ and $y$. the minimum cardinality of a resolving set for $g$ is called the metric dimension of $g$, and denoted by $dim(g)$. in this paper, it is proved that in a connected graph $...