For the Edwards-Anderson model we find an integral representation for some surface terms on the Nishimori line. Among the results are expressions for the surface pressure for free and periodic boundary conditions and the adjacency pressure, i.e., the difference between the pressure of a box and the sum of the pressures of adjacent sub-boxes in which the box can been decomposed. We show that all...

Ownership types were proposed to characterize the topology of objects on the heap. They notionally organize objects into boxes, and each box belongs to an object – its owner. In most ownership-based systems, the box protects the object from its environment in some way. Thus, the owner may play the owners-as-dominators role, whereby the owner restricts access to the objects in a box, (i.e. the “...

The southern CfA2 galaxy data are used to investigate the scaling properties of the galaxy number distribution. We construct two volume-limited samples with galaxy magnitudesMB(0) ≤ −19.42 andMB(0) ≤ −20.00, and calculate the secondto ninth-order moments with the box-counting method. On scales from 5 to 27 h−1 Mpc, the moments exhibit multifractal scalings. From the exponents of the scalings, w...

The objective of this paper is to examine the development of the urban form of the city of Olomouc since the 1920s in terms of fractal dimension, and to link the observation with two other descriptors of shape – area and perimeter. The fractal dimension of built-up areas and fractal dimension of the boundary of the city are calculated employing the box-counting method; the possibilities of thei...

where s = |ν| − |μ|, and ρ(i) is a partition obtained from ρ(i−1) by adding one box. Let ri be the row of the box added in ρ (i) r ρ(i−1). • The inner sum is over all “reverse, barred, ν-bounded tableaux T” on the shape λ. This means T is a filling of λ using entries from {1, . . . , k}, weakly decreasing along rows and strictly decreasing down columns. One also chooses s of the entries (or box...

A government’s ability to quickly collect, analyze, and share information is often considered vital to its national security. At increasing scale, however, this same information sharing is increasingly viewed in tension with the protection of personal liberties. This paper describes a technical method for relieving this tension, offering an approach that enables both to be pursued simultaneousl...

The paper is concerned with the classical occupancy scheme with infinitely many boxes, in which n balls are thrown independently into boxes 1, 2,. . ., with probability pj of hitting the box j, where p1 ≥ p2 ≥. .. > 0 and P ∞ j=1 pj = 1. We establish joint normal approximation as n → ∞ for the numbers of boxes containing r1, r2,. .. , rm balls, standardized in the natural way, assuming only tha...

of the Report Computing Box Volume from Images: An Implementation Gustavo Jose Crespo Master of Science In Computer Science State University of New York At Stony Brook 2002 The calculation of volume has become an intrinsic part of the day to day business of several industries in the United States and abroad. In this report, we present a method for the efficient calculation of volumes of boxes f...

For the Edwards-Anderson model we find an integral representation for some surface terms on the Nishimori line. Among the results are expressions for the surface pressure for free and periodic boundary conditions and the adjacency pressure, i.e., the difference between the pressure of a box and the sum of the pressures of adjacent sub-boxes in which the box can been decomposed. We show that all...

The paper is concerned with the classical occupancy scheme with infinitely many boxes, in which n balls are thrown independently into boxes 1, 2, . . ., with probability pj of hitting the box j, where p1 ≥ p2 ≥ . . . > 0 and P∞ j=1 pj = 1. We establish joint normal approximation as n → ∞ for the numbers of boxes containing r1, r2, . . . , rm balls, standardized in the natural way, assuming only...