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let $g$ be a finite group‎. ‎we denote by $psi(g)$ the integer $sum_{gin g}o(g)$‎, ‎where $o(g)$ denotes the order of $g in g$‎. ‎here we show that‎ ‎$psi(a_5)< psi(g)$ for every non-simple group $g$ of order $60$‎, ‎where $a_5$ is the alternating group of degree $5$‎. ‎also we prove that $psi(psl(2,7))

This paper shows the existence of a class of block transitive meager squares of order q on GF (q) for odd prime q, q large. Using these meager squares along with other known meager system constructions, we determine the spectrum of orders that admit meager systems: all odd n, n ≥ 9. Using this result, it is also determined that the spectrum of orders that admit 5-sparse Steiner triple systems i...

A. Orders of Growth on Algebraic Varieties . . . . . . . . . . . 4 w 1. Review of the Classical Theory . . . . . . . . . . . . . 4 w 2. Generalization to Algebraic Varieties . . . . . . . . . . . 6 w 3. Exhaustion Functions and K~ihler Metrics on Special Affine Varieties . . . . . . . . . . . . . . . . . . . . . . . 9 84. Order of Growth of Analytic Sets . . . . . . . . . . . . 13 w 5. Order of...

Let KO(CP) be the KO-ring of the complex projective space CP. By means of methods of rational D-series [4], a formula for the J-orders of elements of KO(CP) is given. Explicit formulas are given for computing the J-orders of the canonical generators of KO(CP) and the J-order of any complex line bundle over CP.

BACKGROUND AND OBJECTIVE Shared decision making and advance planning in end-of-life decisions have become increasingly important aspects of the management of seriously ill patients. Here, we describe the use and timing of do-not-resuscitate (DNR) orders in patients hospitalized with acute myocardial infarction (AMI). STUDY DESIGN AND SETTING The nonconcurrent prospective study population cons...

1 1 The Site 1 3 An investigation into the notion of context site history 1 4 trinity of landmarks 1 9 existing orders 2 6 uncommon commonality 3 1 ctiy as accumulation 3 2 the tectonic 3 4 Program / Intervention 3 8 permeability 4 1 parallax 4 2 urban topography 4 5 implicit/explicit qualities 4 9 function vs. use 5 1

From April 2009 to October 2011, we surveyed the higher fungi in the Byeonsanbando National Park, Korea. In total, we identified 2 kingdoms, 3 divisions, 7 classes, 22 orders, 63 families, 149 genera, and 313 species (including 6 undocumented taxa: 2 families, 2 genera, and 2 species). Seventeen 17 orders, 49 families, 128 genera, and 286 species belonged to Basidiomycota; 7 orders, 9 families,...