(119) can be written in two simplified forms by replacing the logarithm by one or two first terms in the Taylor series expansion: H L 0+ ρν2 L = 2σ (120) H L 0 + ρν2 L = 2σ − 3ρ N∗ ν2 1 4σ (121) Comparison with the results of experiments showed that Eq...
We obtain two classes of ECMC, one in which the escape time varies algebraically with the relaxation parameter (as for the local Metropolis algorithm) and another in which the escape time scales as the logarithm of the relaxation parameter. A scaling analysis is confirmed by simulation results. ...
Abstract.WediscussfastexponentialtimesolutionsforNP-complete problems.Wesurveyknownresultsandapproaches,weprovidepointers totheliterature,andwediscussseveralopenproblemsinthisarea.The listofdiscussedNP-completeproblemsincludesthetravellingsalesman problem,schedulingunderprecedenceconstraints,satisfiability,knap- ...
Eventually I read the “Modular arithmetic” section on the Wikipedia article for Discrete logarithm and a light begins to dawn. They give an example of how to calculate the possible solutions using Fermat’s Little Theorem.1 However, this approach turns out not to be useful for me because it...
We obtain two classes of ECMC, one in which the escape time varies algebraically with the relaxation parameter (as for the local Metropolis algorithm) and another in which the escape time scales as the logarithm of the relaxation parameter. A scaling analysis is confirmed by simulation results. ...
oC 0.0–2.0 no data [d] 6.63 2.0–6.0 7.02 [d] 95.9 5.5–7.0 25.5 [b] 29.5 [b] [c] [c] ≈ 85.1 ≈ 6.5–9.5 117.2 37–42 9.5–12 [b] The solubility is given as the logarithm of the ion product of the given formulae (excluding hydrate water) with concentrations in mol/L....
Intrinsic viscosity ([η]) values of the PSU elastomers were determined from PSU solutions in THF using an Ubbelohde viscometer. For each PSU elastomer, measurements were performed on four solutions with different concentrations (c) in the range 0.5–2.0 g/dL at 25 °C. Solutions were filtered...