Let Ak = {0 = a1 < a2 < ... < ak} and B = {0 = b1 < b2 < ... < bn ...} be sets of k integers and infinitely many integers, respectively. Suppose B has asymptotic density x t d(B) x. If, for every integer n _> 0, there is at most one representation n a^ + bj , then we say that Ak has a packing complement of density j> x. Given Ak and x9 there is no known algorithm for determining whether or not ...

OBJECTIVE Actinic keratoses (AK) are proliferation of neoplastic keratinocytes confined to the epidermis induced by damaging solar ultraviolet radiation (UVR). When the neoplastic keratinocytes extend in to papillary-reticular dermis, then the lesion termed as squamous cell carcinoma (SCC). We have compared HLA class I and II antigen profiles in three patient groups namely: AK (n: 31) (patients...

The response to Photofrin II-induced photosensitization on the activities of mitochondrial monoamine oxidase (MAO) and adenylate kinase (AK) were studied in order to gain further insight into site specific effects. Utilizing intact mitochondria in vitro, both MAO, located on the cytoplasmic side of the outer mitochondrial membrane, and AK, located in the intermembrane space, were inhibited by e...

OBJECTIVES To report the burden and cost of actinic keratosis (AK) treatment in Australia and to forecast the number of AK treatments and the associated costs to 2020. DESIGN AND SETTING A retrospective study of data obtained from medicare Australia for AK treated by cryotherapy between 1 January 1994 and 31 December 2012, by year and by state or territory. RESULTS The total number of AK cr...

Given two n×n matrices A and A0 and a sequence of subspaces {0}=V0 ⊂ · · · ⊂ Vn = R n with dim(Vk) = k, the k-th subspace-projected approximated matrix Ak is defined as Ak = A + Πk(A0 − A)Πk , where Πk is the orthogonal projection on V ⊥ k . Consequently, Ak v = Av and v Ak = v ∗A for all v ∈ Vk. Thus (Ak) n k≥0 is a sequence of matrices that gradually changes from A0 into An = A. In principle,...

We first present a new security 2-AK protocol, which is more secure and more efficient than previously proposed ones. Meanwhile, we point that Xie’s ID-2-AK protocol modified from McCullagh-Barreto in CT-RSA 2005 doesn’t provide protection against KCI attack likewise, and finally utilize the modular arithmetic, first proposed in MQV and also used in Kim, to get a modified new ID-2-AK protocol. ...

Open Source Software (OSS) is increasingly used in ComponentBased Software Development (CBSD) of large software systems. An important issue in CBSD is selection of suitable components. Various OSS selection methods have been proposed, but most of them do not consider the software architecture aspects of OSS products. The Software Architecture (SA) research community refers to a product’s archit...

1. Let P{ή) and p(n) denote the greatest and smallest prime factor of n, respectively. Recently in several papers, Balog, Erdόs, Maier, Sarkozy, and Stewart have studied problems of the following type: if A\,...,Ak are "dense" sets of positive integers, then what can be said about the arithmetical properties of the sums a\ H h % with a,\ G A\,...,ak G Akl In particular, Balog and Sarkόzy proved...