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We give a survey of recent classification results for von Neumann algebras arising from measure preserving group actions on probability spaces. This includes II1 factors with uncountable fundamental groups and the construction of W*-superrigid actions where
entirely remembers the initial group action
.
Let G be a simple connected graph with vertex set V(G) and edge set E(G). A function f : E(G) → {-1, 1} is called a signed star dominating function (SSDF) on G if ∑e∈E(v) f(e) ≥ 1 for every v ∈ V(G), where E(v) is the set of all edges incident to v. The signed star domination number of G is defined as γSS(G) = min{∑e∈E(G) f(e) | f is a SSDF on G}. In this paper, we obtain exact values for the signed star domination number for certain classes of Cayley digraphs and Cayley graphs.
Background: This study aimed to evaluate the clinical and radiological outcomes following an arthroscopic-assisted reduction and volar plating (AR-VP) surgery through pronator quadratus (PQ) preservation for treating intra-articular distal radius fractures (IA-DRFs) and to assess prognostic factors that affect functional outcomes.
Methods: Between March 2014 and February 2017, 54 patients who had intra-articular DRF and underwent AR-VP through the PQ preservation technique and completed 1-year follow-up were enrolled. Patients were divided into the satisfactory group (excellent and good results) and an unsatisfactory group (fair and poor results) based on the modified Mayo Wrist Scoring System (MMWS) scored at 1-year follow-up to determinate prognostic factors that affected clinical outcomes. Patients’ demographics, clinical outcome measures (VAS, DASH, PRWE, etc.), and pre-and post-operative radiographic parameters were analyzed.
Results: The outcomes according to MMWS were 10 excellent, 22 good, 14 fair, and 8 poor. A univariate analysis showed a significant difference between the groups (p < .05) for all radiographic parameters, sex, and the presence of an intra-articular comminution. In the multivariate analysis, female gender, presence of an intra-articular comminution, and difference of palmar articular tilt compared to uninjured wrist (> 20.1°) at trauma were considered as significant poor prognostic factors of functional outcome.
Conclusions: AR-VP surgery through PQ preservation for intra-articular DRFs has reliable clinical and radiological outcomes. However, female gender, presence of an intra-articular comminution, and difference of palmar articular tilt compared to the uninjured wrist (> 20.1°) at initial injury were considered poor prognostic factors for AR-VP through PQ preservation for intra-articular DRF.