In the paper [Y. Okuyama, {it On the absolute generalized N"{o}rlund summability of orthogonal series},Tamkang J. Math. Vol. 33, No. 2, (2002), 161-165] the author has found some sufficient conditions under which an orthogonal seriesis summable $|N,p,q|$ almost everywhere. These conditions are expressed in terms of coefficients of the series. It is the purpose ofthis paper to extend this result...

Background: Suicide may be conceptualized as an escape from intolerable predicaments, in particular, mental illness and environmental stressors. The operationalized predicaments of suicide (OPS) is a 4 category framework designed to assist in the classification of suicide. The objective was to examine whether this framework is potentially useful. Method: 18 psychiatrists from 6 different countr...

In this note, we announce a general method for the construction of nonseparable orthogonal wavelet bases of L2(Rn), where n ≥ 2. Hence, we prove the existence of such type of wavelet bases for any integer n ≥ 2. Moreover, we show that this construction method can be extended to the construction of n-D multiwavelet matrix filters.

In this paper we study the algebraic and geometric structure of the space of compactly supported biorthogonal wavelets. We prove that any biorthogonal wavelet matrix pair (which consists of the scaling lters and wavelet lters) can be factored as the product of primitive parau-nitary matrices, a pseudo identity matrix pair, an invertible matrix, and the canonical Haar matrix. Compared with the f...

Mixed orthogonal arrays of strength two and size s are constructed by grouping points in the finite projective geometry . can be partitioned into   1, PG mn s   1, PG mn s       1 1 mn n s s         –1 n -flats such that each   –1 n flat is associated with a point in . An orthogonal array  1, n PG m s        1 1 mn n mn s s n s L s         can be constructed ...

Let H = {A1, . . . , An, B1, . . . , Bn} be a collection of 2n subgraphs of the complete bipartite graph Kn,n. The collection H is called an orthogonal double cover (ODC) of Kn,n if each edge of Kn,n occurs in exactly two of the graphs in H; E(Ai) ∩ E(Aj) = φ = E(Bi) ∩ E(Bj) for every i, j ∈ {1, . . . , n} with i = j, and for any i, j ∈ {1, . . . , n}, |E(Ai)∩E(Bj)| = 1. If Ai ∼= G ∼= Bi for al...

This paper describes a design process for custom wearable systems produced in an academic setting. A set of 245 wearable design defects from two distinct periods separated by six years in time is presented. These data identify aspects of the process requiring significant developer effort, which we show using an Orthogonal Defect Classification scheme. A comparison of defect attribute distributi...

Background: Thoracolumbar spinal fractures include a range of injuries of various severities from simple apophysealfractures to neurological injury and complex fractures associated with vertebral dislocation. The treatment ofthoracolumbar fractures is challenging, especially due to the difficulty of evaluating the posterior ligamentous complex(PLC). The purpose of this study w...

  Background: Humerus fractures include 5% to 8% of total fractures. Non-union and delayed union of GT (GT) fractures is uncommon; however they present a challenge to the orthopedic surgeons. Significant controversy surrounds optimal treatment of neglected fractures. The purpose of this article was to perform a comparative study to evaluate the outcomes of open reduction and internal fixatio...

Background:  Little is known about trends and predictors of hardware related infection following open reduction and internal fixation (ORIF) of extremity fractures, one of the major causes of failure following ORIF. The present study was designed and conducted to determine trends and predictors of infection-related hardware removal following ORIF of extremities using a nationally representative...