Let S∞ = A∞ × B∞ be a self-similar product Cantor set in the complex plane, defined via S∞ = ⋃L j=1 Tj(S∞), where Tj : C→ C have the form Tj(z) = 1 Lz+zj and {z1, . . . , zL} = A+iB for some A,B ⊂ R with |A|, |B| > 1 and |A||B| = L. Let SN be the L−N -neighbourhood of S∞, or equivalently (up to constants), its N -th Cantor iteration. We are interested in the asymptotic behaviour as N → ∞ of the...

it is well known that a microperiodic function mapping a topological group into reals, which is continuous at some point is constant. we introduce the notion of a microperiodic multifunction, defined on a topological group with values in a metric space, and study regularity conditions implying an analogous result. we deal with vietoris and hausdorff continuity concepts.stability of microperiodi...

won{gil park [won{gil park, j. math. anal. appl., 376 (1) (2011) 193{202] proved the hyers{ulam stability of the cauchy functional equation, the jensen functional equation and the quadraticfunctional equation in 2{banach spaces. one can easily see that all results of this paper are incorrect.hence the control functions in all theorems of this paper are not correct. in this paper, we correctthes...

Numerous functional neuroimaging studies have shown that most orthographic stimuli, such as printed English words, produce a left-lateralized response within the fusiform gyrus (FG) at a characteristic location termed the visual word form area (VWFA). We developed an experimental alphabet (FaceFont) comprising 35 face-phoneme pairs to disentangle phonological and perceptual influences on the la...

objectives: the purpose of this study was to determine the functional mobility and balance in the elders after total hip arthroplasty in healthy coparison to elders. methods & materials: the current cross-sectional study was done on 20 patients (70.9±4.2) with hip osteoarthritis 6 months after total hip arthroplasty and 20 healthy subjects (73±5.7) as control group. patient group was assigned w...

Background: Assisted fertilization procedures are a currently widespread practice to regulate reproduction in humans and animals. The arising question is why the human being manipulating gametes to generate new individuals, if we do not understand yet the molecular mechanism of fertilization?. Successful completion of fertilization in mammals is dependent on three membrane fusion events: 1. the...