BACKGROUND AND OBJECTIVE Actinic keratoses (AK) are common premalignant skin lesions that can progress to invasive skin squamous cell carcinoma (sSCC). The subtle accumulation of multiple AK in aging individuals increases the risk of sSCC development, and this underscores the need for efficient treatment and patient follow-up. Our objectives were to develop a method based on color texture analy...

We study low-rank approximation in the streaming model in which the rows of an n × d matrix A are presented one at a time in an arbitrary order. At the end of the stream, the streaming algorithm should output a k × d matrix R so that ‖A−ARR‖F ≤ (1 + )‖A−Ak‖F , where Ak is the best rank-k approximation to A. A deterministic streaming algorithm of Liberty (KDD, 2013), with an improved analysis of...

For a generator A of a C0 -semigroup T (·) on a Banach space X we consider the semi-norm Mk x := lim supt→0+ ‖t−1(T (t)− I)Ak−1x‖ on the Favard space Fk of order k associated with A . The use of this semi-norm is motivated by the functional analytic treatment of time-discretization methods of linear evolution equations. We show that sharp inequalities for bounded linear operators on D(Ak) can b...

The relation between a recently introduced dynamical real space renormalization group and the fluctuation-dissipation theorem is discussed. An apparent incompatibility is pointed out and resolved. PACS numbers:61.50.Cj,05.40.+j,05.70.Ln,64.60.Ak

This paper presents the following definition which is a natural combination of the definition for asymptotically equivalent of order α, where 0 < α 6 1, I-statistically limit, and I-lacunary statistical convergence for sequences of sets. Let (X, ρ) be a metric space and θ be a lacunary sequence. For any non-empty closed subsets Ak, Bk ⊆ X such that d(x,Ak) > 0 and d(x,Bk) > 0 for each x ∈ X, we...

value of sub-km DEM products. A. L. Gleason, L. S. Glaze, R. R. Herrick, and J. B. Garvin: [email protected], NASA Goddard Space Flight Center (Code 698, Greenbelt, MD 20771; [email protected]), Geophysical Institute, University of Alaska, Fairbanks (Fairbanks, AK 99775-7320, [email protected]), NASA Goddard Space Flight Center (Code 600, Greenbelt, MD 20771; [email protected])

We present new conditions under which Cline?s formula and Jacobson?s lemma for g-Drazin inverse hold. Let A be a Banach algebra, let a,b ? satisfying akbkak = ak+1 some k N. prove that has if only bkak inverse. In this case, (bkak)d bk(ad)2ak ad ak[(bkak)d]k+1. Further, we study in algebra the preceding condition. The common spectral property of bounded linear operators on space is thereby obta...

Sharpening (a particular case of) a result of Szemerédi and Vu [SV06] and extending earlier results of Sárközy [S89] and ourselves [L97b], we find, subject to some technical restrictions, a sharp threshold for the number of integer sets needed for their sumset to contain a block of consecutive integers of length, comparable with the lengths of the set summands. A corollary of our main result is...

purpose: to investigate confocal scan features of corneal subbasal nerve plexus and epithelial dendritic cells in herpes simplex keratitis (hsk) as compared to acanthamoeba keratitis (ak). methods: confocal scan records of patients with clinical and confocal microscopic features compatible with hsk and ak as well as confocal scan records of normal participants were reviewed. the density and mor...

ASRC InuTeq, contractor to the US Geological Survey (USGS) Earth Resources Observation and Science (EROS) Center, Sioux Falls, SD 57198, USA; USGS EROS Center, Sioux Falls, SD 57198, USA; Department of Biology and Wildlife, University of Alaska Fairbanks, Fairbanks, AK 99775, USA; Institute of Arctic Biology, University of Alaska Fairbanks, Fairbanks, AK 99775, USA; Department of Biological Sci...