Norm Inequalities in Operator Ideals

In this paper we introduce a new technique for proving norm inequalities in operator ideals with an unitarily invariant norm. Among the well known inequalities which can be proved with this technique are the L\"owner-Heinz inequality, inequalities relating various operator means and the Corach-Porta-Recht inequality. We prove two general inequalities and from them we derive several inequalities by specialization, many of them new. We also show how some inequalities, known to be valid for matrices or bounded operators, can be extended with this technique to normed ideals in $C^*$-algebras, in particular to the noncommutative $L^p$-spaces of a semi-finite von Neumann algebra.Comment: 23 page

Candida albicans Plasmid Project

Drake Heinz and Patrick L. Hindmarsh are a part of the School of Biological Sciences at Louisiana Tech University

A new Lenstra-type Algorithm for Quasiconvex Polynomial Integer Minimization with Complexity 2^O(n log n)

We study the integer minimization of a quasiconvex polynomial with quasiconvex polynomial constraints. We propose a new algorithm that is an improvement upon the best known algorithm due to Heinz (Journal of Complexity, 2005). This improvement is achieved by applying a new modern Lenstra-type algorithm, finding optimal ellipsoid roundings, and considering sparse encodings of polynomials. For the bounded case, our algorithm attains a time-complexity of s (r l M d)^{O(1)} 2^{2n log_2(n) + O(n)} when M is a bound on the number of monomials in each polynomial and r is the binary encoding length of a bound on the feasible region. In the general case, s l^{O(1)} d^{O(n)} 2^{2n log_2(n) +O(n)}. In each we assume d>= 2 is a bound on the total degree of the polynomials and l bounds the maximum binary encoding size of the input.Comment: 28 pages, 10 figure

Newsletter: The Center for Professional Ethics, Spring/Summer 1990

Table of Contents: The Director\u27s Corner by Bob Lawry News & Notes Doing Ethics! Office Thievery Comments on the Office Thievery Case by Rev. John L. Brown Ethics Case Heinz\u27s Moral Dilemmahttps://scholarlycommons.law.case.edu/professional_ethics/1013/thumbnail.jp

Effect of Supplemental Garlic on the Incidence of Anemia in Horses

Garlic (Allium sativum L.) is a spice that has been used for centuries for medicinal purposes or flavoring in food. Garlic has also been commonly used as a fly and pest control for horses and is still commonly used for that purpose today. Recent research has shown garlic may cause Heinz body anemia in horses. The purpose of this study was to evaluate the incidence of Heinz body anemia in horses supplemented with varying rates of garlic. This study included 12 horses divided into 4 groups (control and 3 supplement rates: low (0.0625 g/kg), medium (0.125 g/kg), high (0.1875 g/kg)) that were provided garlic for 74 days. Blood samples and weights were taken on day 0, 25, 50, and 74. Data were analyzed using Proc Mixed of SAS as a completely randomized design, α = 0.05. Garlic affected red blood cells (P = 0.0278) and platelets (P = 0.0058). Hemoglobin (P = 0.0740) and Heinz bodies (P = 0.4055) were not significantly affected by garlic. Overall, these results show that red blood cell counts and platelets were affected by garlic supplementation, but hemoglobin and Heinz body counts were not. Our findings indicate that garlic supplementation may be safe for horses, but further research is needed

Observation of Scaling Violations in Scaled Momentum Distributions at HERA

Charged particle production has been measured in deep inelastic scattering (DIS) events over a large range of $x$ and $Q^2$ using the ZEUS detector. The evolution of the scaled momentum, $x_p$, with $Q^2,$ in the range 10 to 1280 $GeV^2$, has been investigated in the current fragmentation region of the Breit frame. The results show clear evidence, in a single experiment, for scaling violations in scaled momenta as a function of $Q^2$.Comment: 21 pages including 4 figures, to be published in Physics Letters B. Two references adde