Following analogies with relativistic point particles and Schild strings, we show that the Einstein gravity its strong coupling regime (or Planck mass going to zero) are related each other through a Laplace transform. The Feynman propagator of in satisfies functional diffusion equation three-metric space evolution parameter being volume spacetime. We conjecture relationship between both regimes...

Kebir (1994) (see also Shaked and Shanthikumar, 1994) has characterized likelihood ratio (LR) ordering, failure rate (FR) ordering, reversed hazard rate ordering and stochastic (ST) ordering with the help of Laplace transform. Using Laplace transform, Nanda (1995) has characterized, by means of necessary and sufficient conditions, the property that two life distributions are ordered in the s-FR...

In order to numerically invert Laplace transforms to calculate probability density functions (pdf’s) and cumulative distribution functions (cdf’s) in queueing and related models, we need to be able to calculate the Laplace transform values. In many cases the desired Laplace transform values (e.g., of a waiting-time cdf) can be computed when the Laplace transform values of component pdf’s (e.g.,...

In earlier chapters we have seen that the Laplace transform provides a convenient way of analyzing the dynamic behavior of continuous-time systems. The Laplace transform is also applicable to discrete-time systems but is somewhat awkward to use. Thus we consider a related transform for discrete-time systems, the z-transform. The z-transform has the same utility as the Laplace transform in that ...