Most contemporary implementations of the Berkeley Fast File System optimize file system throughput by allocating logically sequential data to physically contiguous disk blocks. This clustering is effective when there are many contiguous free blocks on the file system. But the repeated creation and deletion of files of varying sizes that occurs over time on active file systems is likely to cause...

We develop techniques to study the phase transition for planar Gaussian percolation models that are not (necessarily) positively correlated. These lack property of positive associations (also known as ‘FKG inequality’), and hence many classical arguments in theory do apply. More precisely, we consider a smooth stationary centred field f and, given level ℓ∈R, connectivity properties excursion se...

The FKG inequality asserts that for a distributive lattice with logsupermodular probability measure, any two increasing functions are positively correlated. In this paper we extend this result to functions with values in partially ordered algebras, such as algebras of matrices and polynomials.

Abstract Introduction: The aim of this study was to evaluate the efficacy of two rotary instrument systems (ProTaper and Revo-s File) in removing calcium hydroxide residues from root canal walls Materials and Methods:Thirty human  maxillary incisors were instrumented with the ProTaper System up to the F2 instrument, irrigated with 2.5% NaOCl,and filled with a calcium hydroxide intracanal dr...

Using an extended Lee-Yang theorem and GKS correlation inequalities, we prove, for a class of ferromagnetic multi-spin interactions, that they will have a phase transition (and spontaneous magnetization) if, and only if, the external field h = 0 (and the temperature is low enough). We also show the absence of phase transitions for some nonferromagnetic interactions. The FKG inequalities are sho...