Processes for providing durable antimicrobial surfaces are disclosed that comprise treating a polymer substrate surface with formaldehyde followed by treatment with an antimicrobial peptide. First and second scribe lines intersect to define one corner point of a die. When the voltage supervisor responds, the processor start logging the voltage of the power source in a memory, thus generating a voltage log. A generally conically shaped seal portion extends from an end of the radially extending portion and the seal portion includes a radially inner face engaging the shaft and a radially outer face having a stiffening bead integrally formed thereon. If the phase noises are about the same, it is determined that the noise source is from an algorithm of a random number generator, the second circuit is modified to optimize the performances of the integrated circuit, and the modified second circuit is copied to the first circuit. The kernel program is based on any of a fast estimate, consideration of all time to end point and weight to endpoint pairs within the graph, andor a set of tte wte pairs that represent segments of a lowest slack to weight ratio.