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We define a statistic, called weight, on involutions and consider two applications in which this statistic arises. Let I (n)denote the set of all involutions on [n](= {1, 2, . . . , n}) and let F(2n)denote the set of all fixed point free involutions on [2n]. For an involution δ, let |δ| denote the number of 2-cycles in δ. Let [n]q = 1+q+· · ·+qn−1 and let(More)
PURPOSE High survival rates have frequently been reported for immediately loaded implants. The aim of this systematic review was to compare immediately loaded with early and conventional loaded implants for overdenture treatment with regard to their 1-year survival rates. MATERIALS AND METHODS Systematic database (Medline, Embase, CENTRAL) and hand(More)
OBJECTIVE The aim of this review was to test the hypothesis that 6 mm micro-rough short Straumann(®) implants provide predictable survival rates and verify that most failures occurring are early failures. MATERIALS AND METHODS A PubMed and hand search was performed to identify studies involving micro-rough 6-mm-short implants published between January(More)
BACKGROUND Mandibular two-implant-retained overdentures were suggested as first choice of treatment for edentulous mandibles. However, wear of the attachments may reduce their retention and compromise long-term clinical success. AIM The aim of this in vitro study was to compare the change in the retentive force and removal torque of three attachment(More)
OBJECTIVE This systematic review was performed to compare the survival of 1- vs. 2-implant overdentures (IODs) in the edentulous mandible. MATERIALS AND METHODS Manual and electronic database (PubMed, EMBASE and CENTRAL) searches were performed to identify scientific articles, published in English, reporting on mandibular IODs utilizing unsplinted(More)
The degree partition of a simple graph is its degree sequence rearranged in weakly decreasing order. Let DP(n) (respectively, DS(n)) denote the convex hull of all degree partitions (respectively, degree sequences) of simple graphs on the vertex set [n] = {1, 2,. .. , n}. We think of DS(n) as the symmetrization of DP(n) and DP(n) as the asymmetric part of(More)
PURPOSE This review of literature was conducted to evaluate the predictability of treatment outcomes with short dental implants (SDI), ie, implants shorter than 8 mm. MATERIALS AND METHODS The review included studies, published between January 1990 and July 2011, that (1) involved SDI (<8 mm) placed in human jaws, (2) had a minimum of 20 SDI in their(More)