920 research outputs found

    Short laws for finite groups and residual finiteness growth

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    We prove that for every n ∈ N n \in \mathbb {N} and δ &gt; 0 \delta &gt;0 there exists a word w n ∈ F 2 w_n \in F_2 of length O ( n 2 / 3 log ⁡ ( n ) 3 + δ ) O(n^{2/3} \log (n)^{3+\delta }) which is a law for every finite group of order at most n n . This improves upon the main result of Andreas Thom [Israel J. Math. 219 (2017), pp. 469–478] by the second named author. As an application we prove a new lower bound on the residual finiteness growth of non-abelian free groups. </p

    TOM HAGEN, Bass Trombone MASTER'S RECITAL Friday, April 3, 1992 6:00 p.m. Lillian H. Duncan Recital Hall

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    Program: Sonata in A minor / Benedetto Marcello -- Sarabande from Cello suite no. 5 / Johann Sebastian Bach (1685-1750) -- Concertino for bass trombone and piano / Ernst Sachse -- Romanza from Tuba concerto / Ralph Vaughan Williams (1872-1958) -- Barcarolle et chanson bachique / Jules Semler-Collery -- Concerto for bass trombone / Thom Ritter George -- Camel music / Howard Buss.This recital is given in partial fulfillment of the requirements for the Master of Music degree

    sj-docx-2-mdm-10.1177_0272989X221097081 – Supplemental material for Network Meta-analysis on Disconnected Evidence Networks When Only Aggregate Data Are Available: Modified Methods to Include Disconnected Trials and Single-Arm Studies while Minimizing Bias

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    Supplemental material, sj-docx-2-mdm-10.1177_0272989X221097081 for Network Meta-analysis on Disconnected Evidence Networks When Only Aggregate Data Are Available: Modified Methods to Include Disconnected Trials and Single-Arm Studies while Minimizing Bias by Howard Thom, Joy Leahy and Jeroen P. Jansen in Medical Decision Making</p

    sj-docx-1-mdm-10.1177_0272989X221097081 – Supplemental material for Network Meta-analysis on Disconnected Evidence Networks When Only Aggregate Data Are Available: Modified Methods to Include Disconnected Trials and Single-Arm Studies while Minimizing Bias

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    Supplemental material, sj-docx-1-mdm-10.1177_0272989X221097081 for Network Meta-analysis on Disconnected Evidence Networks When Only Aggregate Data Are Available: Modified Methods to Include Disconnected Trials and Single-Arm Studies while Minimizing Bias by Howard Thom, Joy Leahy and Jeroen P. Jansen in Medical Decision Making</p

    Network Meta-Analysis

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    This chapter details network meta-analysis (NMA), a statistical method for indirectly comparing treatments using data from multiple randomised controlled trials (RCTs). It explains the underlying principles, including the consistency assumption and its implications, and demonstrates how to perform NMA using both Bayesian and frequentist approaches in R, employing the multinma and netmeta packages respectively. The chapter uses a surgical site infection example to illustrate the practical application of NMA, covering model diagnostics, meta-regression, and inconsistency testing. Finally, it discusses extensions of NMA to different data types and scenarios, such as disconnected networks and the use of individual patient data

    Screening for illicit drug use in psychiatric hospitals: whose job is it?

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    Thom conducted the original work and produced the report (sole author). The publication was extracted/ adapted from the report and a few additions made by Crome and Bloor. They wrote the paper and Thom commented / supervised

    Sofic groups and diophantine approximation

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    We prove the algebraic eigenvalue conjecture of J. Dodziuk, P. Linnell, V. Mathai, T. Schick, and S. Yates (see [2]) for sofic groups. Moreover, we give restrictions on the spectral measure of elements in the integral group ring. Finally, we define integer operators and prove a quantization of the operator norm below 2. To the knowledge of the author, there is no group known that is not sofic. (c) 2007 Wiley Periodicals, Inc
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