an injective map f : e(g) → {±1, ±2, · · · , ±q} is said to be an edge pair sum labeling of a graph g(p, q) if the induced vertex function f*: v (g) → z − {0} defined by f*(v) = (sigma e∈ev) f (e) is one-one, where ev denotes the set of edges in g that are incident with a vetex v and f*(v (g)) is either of the form {±k1, ±k2, · · · , ±kp/2} or {±k1, ±k2, · · · , ±k(p−1)/2} u {k(p+1)/2} accordin...

Zirconia is unique in its polymorphic crystalline makeup, reported to be sensitive to manufacturing and handling processes, and there is debate about which processing method is least harmful to the final product. Currently, zirconia restorations are manufactured by either soft or hard-milling processes, with the manufacturer of each claiming advantages over the other. Chipping of the veneering ...

‎let $g$ be a graph and $chi^{prime}_{aa}(g)$ denotes the minimum number of colors required for an‎ ‎acyclic edge coloring of $g$ in which no two adjacent vertices are incident to edges colored with the same set of colors‎. ‎we prove a general bound for $chi^{prime}_{aa}(gsquare h)$ for any two graphs $g$ and $h$‎. ‎we also determine‎ ‎exact value of this parameter for the cartesian product of ...

I n its decision of Philippe H. Moransais v. Paul S. Heathman, et al., 24 Fla. L. Weekly S308 (Fla. July 1, 1999),1 the Florida Supreme Court held the Economic Loss Rule (ELR) to be inapplicable to negligence actions against engineers and other professionals. This sudden but welcome detour arrived after more than a decade of case law which stretched, sculpted, and misapplied a product liability...

In order to achieve the high-precision and high-efficiency machining of micro-channels for hard brittle materials, authors innovatively proposed a new technology called template-based electrophoretically assisted micro-ultrasonic (TBEPAMUSM). This transfers micro-channel shape punch-pin workpiece material through form micro-channel. At same time, it uses electrophoretic properties ultra-fine ab...

The effects of the Engineered Micro-Geometry (EMG) carbide teeth circular saws on their wear rate and resulting sawing variation for 2-time intervals were studied. objective was to improve resistance used during primary transformation wood. tests carried out under industrial production conditions with two series saws; 1- up-sharp tips, 2- cutting edges honed adopt a waterfall geometry. duration...