Narrow Results

We present several equivalent conditions for C*-finitely correlated states defined on the UHF algebras to be factor states and consider the types of factors generated by them. Subfactors generated by generalized quantum Markov chains defined on the gauge-invariant parts of the UHF algebras are also discussed.

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 γ_SS(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.

In the component-based software development (CBSD) process, developers need an effective selecting method to search eligible component. That is how to choose the most appropriate and suited component from component library effectively. This paper proposed a new approach of evaluating component on the basis of linear comprehensive approach. We analyze a set of factors and their weights, and put forward the method of arranging components in an order after classifying in the component library. Our experiment shows the approach is better than other approaches such as subjective mind and simple linear weighting method.

By using the table of Jones polynomials we compute the braid index with up to ten crossings.

The following sections are included:

• INTRODUCTION

• ONE-WAY ANALYSIS OF VARIANCE
  • Defining One-Way ANOVA
  • Specifying the Hypotheses
  • Generalizing the One-Way ANOVA
  • Between-Treatments and Within-Treatment Sums of Squares
  • Between-Treatments and Within-Treatment Mean Squares
  • The Test Statistic
  • Population Model for One-Way ANOVA

• SIMPLE AND SIMULTANEOUS CONFIDENCE INTERVALS
  • Simple Comparison
  • Scheffé’s Multiple Comparison

• TWO-WAY ANOVA WITH ONE OBSERVATION IN EACH CELL, RANDOMIZED BLOCKS
  • Basic Concept
  • Specifying the Hypotheses
  • Between and Residual Sum of Squares
  • Between Variance, Error Variance, and F Test
  • Population Model for Two-Way ANOVA with One Observation in Each Cell

• TWO-WAY ANOVA WITH MORE THAN ONE OBSERVATION IN EACH CELL
  • Basic Concept and Hypothesis Testing
  • Generalizing the Two-Way ANOVA

• CHI-SQUARE AS A TEST OF GOODNESS OF FIT
  • Uniform Distribution: Market Shares of Different Types of Cars
  • Binomial Distribution: Correct Picks in a Football Pool
  • Poisson Distribution: Number of Patient Arrivals

• CHI-SQUARE AS A TEST OF INDEPENDENCE

• BUSINESS APPLICATIONS
  • Comparing Cash Compensation for Different Groups of Corporate Executives
  • Effects of Visual Display Scale on Estimates of Duration
  • Current Ratios for Failed and Nonfailed Firms
  • Distribution of Stock Rates of Return
  • Market-Share Pattern of a New Cereal Product
  • The Effect of Price Advertising on Alcoholic Beverage Sales

• Summary

• Appendix 12A ANOVA and Statistical Quality Control⁵
  • Gage Run Chart
  • Gage R&R Study
  • Two-way Analysis of Variance
  • Data Display

• Questions and Problems

• Project III Project for Statistical Inferences Based on Samples

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 .