Let H be a real Hilbert space. A mapping A : D(A) ⊆ H → H is said to be monotone if ⟨Ax − Ay, x − y⟩ ≥ 0 for every x, y ∈ D(A). A is called maximal monotone if it is monotone and the R(I + rA) = H, the range of (I + rA), for each r > 0, where I is the identity mapping on H. A is said to satisfy the range condition if cl(D(A)) ⊆ R(I + rA) for each r > 0. For monotone mappings, there are many rel...

PURPOSE To compare urodynamic characteristics in patients with idiopathic detrusor overactivity (IDO) with those of an age matched cohort with diabetes mellitus (DM) and detrusor overactivity (DO). Secondly, to determine whether urodynamic features could help distinguish these two groups of patients. MATERIALS AND METHODS Urodynamic data was collected on 58 female patients; 29 with IDO and 29...

A Graph G is Super Strongly Perfect Graph if every induced sub graph H of G possesses a minimal dominating set that meets all the maximal complete sub graphs of H. In this paper we have analyzed the structure of super strongly perfect graphs in some Interconnection Networks, like Mesh, Torus, Hyper cubes and Grid Networks. Along with this investigation, we have characterized the Super Strongly ...

Evaluation of the morphology of the suprascapular notch region is important from a clinical point of view because it is the most common site of suprascapular nerve compression and injury. A group of 120 patients underwent ultrasound examination of the suprascapular notch region according to our original four-stage "step-by-step" protocol. The notches were classified based on their morphology an...

Time series analysis is considered as a crucial component of strategic control over a broad variety of disciplines in business, science and engineering. Time series data is a sequence of observations collected over intervals of time. Each time series describes a phenomenon as a function of time. Analysis on time series data includes discovering trends (or patterns) in a time series sequence. In...

We described here all the maximal-sized subsets of the n-cube B n with respect to given diameter and showed the connection between this description and the discrete isoperimetric problem. As a consequence for any number m, 1 m 2 n , the m-element subset of B n with minimal possible diameter was found. Except of it we present here as a second consequence the simple proof of the Theorem of Katona...

We investigate the properties of the Extended Fock Basis (EFB) of Clifford algebras [1] with which one can replace the traditional multivector expansion of Cl(g) with an expansion in terms of simple (also: pure) spinors. We show that a Clifford algebra with 2m generators is the direct sum of 2m spinor subspaces S characterized as being left eigenvectors of Γ; furthermore we prove that the well ...

In this paper we pursue the study of the problem of controlling the maximal singular integral T ∗f by the singular integral Tf . Here T is a smooth homogeneous Calderón-Zygmund singular integral of convolution type. We consider two forms of control, namely, in the L2(Rn) norm and via pointwise estimates of T ∗f by M(Tf) or M2(Tf) , where M is the Hardy-Littlewood maximal operator and M2 = M ◦M ...

Let O be a henselian discrete valuation ring with perfect residue field, G a connected reductive group over k, the quotient field of O. Let S be a maximal k-split torus of G, = (G, S) the corresponding root system. For simplicity, in this introduction we assume that (G, S) is reduced. Fix a point x on the apartment A(G, S) attached to S. According to Bruhat-Tits theory, x determines a filtratio...

Current theory suggests that population dynamics are the consequence of the repro? ductive strategies of individuals. Individual differences should be expressed in reproductive output, dispersal, social behavior, and recruitment. Mirror-image stimulation (MIS; i.e., exposure ofthe animal to a large mirror) was used as an independent measure of individuality, which could be distributed continuou...