Let G be a graph and F ⊆ V (G). Then F is called an induced forest of G if 〈G〉 contains no cycle. The forest number, f(G), of G is defined by f(G) := max{|F | : F is an induced forest of G}. It was proved by the second author in [6] that if G is an r-regular graph of order n, then f(G) ≤ b nr−2 2(r−1)c. It was also proved that the bound is sharp by constructing an r-regular graph H of order n w...

Low energy plasma treatment of Nafion® membranes for PEM fuel cells Devin Ramdutt a,∗, Christine Charles a, Jessica Hudspeth a, Bradley Ladewig b, Thomas Gengenbach c, Rod Boswell a, Andrew Dicks b, Pascal Brault d a Space Plasma, Power and Propulsion (SP3), Research School of Physical Sciences and Engineering, The Australian National University, Canberra, ACT 0200, Australia b ARC Centre for F...

Acknowledgements I am most grateful to Professor K.-R.Müller for having provided me the opportunity, not only to gain research experience in his IDA/Machine Learning Laboratory but in addition for employing me to do so. Without his assistance I would not have been able to complete my degree at the BCCN and continue to the PhD level in a dignified manner. I have greatly appreciated having been t...

Glycyrrhiza glabra residue (GGR) was efficiently subjected to concentrated phosphoric acid (PA) pretreatment with/without surfactant assistance, and promising results were obtained following separate enzymatic hydrolysis and fermentation (SHF) of the biomass. Pretreatment was carried out using 85 % PA either at 50 or 85 °C with 12.5 % solid loading for 30 min. In parallel experiments, ...

the purpose of this paper is to study the higher order asymptotic distributions of the eigenvalues associated with a class of sturm-liouville problem with equation of the form w??=(?2f(x)?r(x)) (1), on [a,b, where ? is a real parameter and f(x) is a real valued function in c2(a,b which has a single zero (so called turning point) at point 0x=x and r(x) is a continuously differentiable function. ...

An Integral Evolution Formula for the Wave Equation Bradley Alpert,∗,1 Leslie Greengard,†,2 and Thomas Hagstrom‡,3 ∗National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80303,†Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York 10012-1110, and ‡Department of Mathematics and Statistics, University of New Mexico, Albuqu...

This paper summarises Rolls-Royce’s efforts in developing a production capable and industrially robust process for the production of dual-microstructure components. This has been possible through the use of process modeling, full-scale validation trials, detailed microstructural assessment through a variety of destructive and non-destructive methods and mechanical property evaluation. This pape...

Nonreflecting Boundary Conditions for the Time-Dependent Wave Equation Bradley Alpert,∗,1 Leslie Greengard,†,2 and Thomas Hagstrom‡,3 ∗National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305; †Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York 10012-1110; and ‡Department of Mathematics and Statistics, University o...

The present study examined the effects of chitosan (Ch) and chitosan combined with sodium tripolyphosphate (Nch) nanoparticles as coating materials for Cynoglossus arel fillets during superchilling storage. Treatments included the following: C (untreated, control samples), AC (treated with 1% glacial acetic acid, acid control), Ch (treated with 2% w/v chitosan solution, Chitosan) and Nch (treat...