We derive formulas for the number of polycubes of size n and perimeter t that are proper in n − 1 and n − 2 dimensions. These formulas complement computer based enumerations of perimeter polynomials in percolation problems. We demonstrate this by computing the perimeter polynomial for n = 12 in arbitrary dimension d.

carpal tunnel syndrome (cts) is the most common entrapment neuropathy. it accounts 90% of all entrapment neuropathies all over the world. ultrasound is a non-invasive, cost effective and available para-clinical method which could be applied for cts diagnosis. cross-sectional area of the median nerve at the level of the inlet is considered as a diagnostic criterion in cts cases. in this study, t...

The XML port scanning technique described in this paper allows an attacker to utilise an XML parser to execute port scanning of systems behind a restrictive perimeter firewall. While the technique relies on some reasonably specific implementation details in order to be exploitable remotely, it is potentially applicable to any application that accepts XML document inputs. Several workarounds exi...

This paper explores proofs of the isoperimetric inequality for 4-connected shapes on the integer grid Z, and its geometric meaning. Pictorially, we discuss ways to place a maximal number unit square tiles on a chess board so that the shape they form has a minimal number of unit square neighbors. Previous works have shown that “digital spheres” have a minimum of neighbors for their area. We here...

using modern irrigation methods such as border irrigation is one way for an optimum usage of water. potato, for this study, was cultured in a farm located at kermanshah faculty of agriculture to evaluate the efficiency of border irrigation. the culture potato was the agria variety and the applied treatment were 50, 75, and 100 percent of potato plant`s water requirement. tapes were 12 m and the...

Larsson, M. 2012. Heterogeneity-Induced Channelling, Flow-Wetted Surface, and Modelling of Transport in Fractured Rock. Acta Universitatis Upsaliensis. Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology 971. 76 pp. Uppsala. ISBN 978-91-554-8468-2. Heterogeneities in fractured rock are found at all scales; from the scale of individual fractures, t...

Abstract. The perimeter functional is known to oppose serious difficulties when it has to be handled within a topology optimization procedure. In this paper, a regularized perimeter functional Perε, defined for 2d and 3d domains, is introduced. On one hand, the convergence of Perε to the exact perimeter when ε tends to zero is proved. On the other hand, the topological differentiability of Perε...