An equivalent definition of packing dimension is given for a set in d-dimensional Euclidean space by using its component sets as packings. It is applied to determine the packing dimensions of a class of subsets with prescribed relative group frequencies. c © 2008 Elsevier Ltd. All rights reserved.

Let X = {X(t), t ∈ RN} be a Gaussian random field with values in Rd defined by X(t) = ( X1(t), . . . , Xd(t) ) , ∀ t ∈ R , where X1, . . . , Xd are independent copies of a centered real-valued Gaussian random field X0. We consider the case when X0 is anisotropic and study the packing dimension of the range X(E), where E ⊆ RN is a Borel set. For this purpose we extend the original notion of pack...

brass ferrules have been used as packing in a laboratory- scale glass distillation column approaching pilot plant size because of their availability in all sizes and low cost. the available size range is such that these ferrules could also be used in industry and the results of this study could be scaled up. the performance of the new packing has been compared with the performance of glass pack...

OBJECTIVES/HYPOTHESIS To analyze the differences between biodegradable and nondegradable nasal dressings with regard to their effects on wound healing in the short and medium term and on surgical outcomes in the long term, after endoscopic sinus surgery (ESS). STUDY DESIGN A prospective, randomized, partly blinded, controlled trial. METHODS A total of 56 patients undergoing bilateral ESS fo...

Using probabilistic ideas, we prove that if μ is a mean porous measure on R, then the packing dimension of μ is strictly smaller than n. Moreover, we give an explicit bound for the packing dimension, which is asymptotically sharp in the case of small porosity. This result was stated in [D. B. BELIAEV and S. K. SMIRNOV, “On dimension of porous measures”, Math. Ann. 323 (2002) 123-141], but the p...

Clusters is a group of the same or different elements that aggregate closely together. Cluster-based crystalline materials, including molecular clusters and cluster-based metal-organic frameworks, are emerging candidates for iodine capture due to their aggregative binding sites, precise structural information, tunable pores/packing patterns, abundant modifications. The contributions these mater...

Supercapacitors (SCs) have garnered considerable attention as an appealing power source for forthcoming smart energy era. An ultimate challenge facing the SCs is the acquisition of higher energy density without impairing their other electrochemical properties. Herein, we demonstrate a new class of polyacrylonitrile (PAN)/multi-walled carbon tube (MWNT) heteromat-mediated ultrahigh capacitance e...

BACKGROUND AND PURPOSE Five to 60% of coiled brain aneurysms recanalize, generally because of coil compaction. In vitro exclusive use of complex-shaped coils allows better packing of the aneurysmal sac and the neck as compared with helical coils. We report a single-center, prospective study using complex coils. Safety, packing density, and recanalization rate were evaluated. MATERIALS AND MET...

BACKGROUND AND PURPOSE As newer MR imaging techniques are used to assist with tumor grading, biopsy planning, and therapeutic response assessment, there is a need to relate the imaging characteristics to underlying pathologic processes. The aim of this study was to see how rCBV, a known marker of tumor vascularity, relates to cellular packing attenuation and cellular proliferation. MATERIALS ...

Objective: Objective of this study is to compare complications in postseptoplasty patients using conventional nasal packing and glove finger packing. Materials and methods: In our study 95 patients who underwent septoplasty were enrolled and written consent taken for the study among these 95 patients, 50 patients were put in group A and 45 patients in group B. In group A patients glove finger p...