Distinguishing division algebras by finite splitting fields

This paper is concerned with the problem of determining the number of division algebras which share the same collection of finite splitting fields. As a corollary we are able to determine when two central division algebras may be distinguished by their finite splitting fields over certain fields.Comment: 10 page

Kato-Milne Cohomology and Polynomial Forms

Given a prime number $p$, a field $F$ with $\operatorname{char}(F)=p$ and a positive integer $n$, we study the class-preserving modifications of Kato-Milne classes of decomposable differential forms. These modifications demonstrate a natural connection between differential forms and $p$-regular forms. A $p$-regular form is defined to be a homogeneous polynomial form of degree $p$ for which there is no nonzero point where all the order $p-1$ partial derivatives vanish simultaneously. We define a $\widetilde C_{p,m}$ field to be a field over which every $p$-regular form of dimension greater than $p^m$ is isotropic. The main results are that for a $\widetilde C_{p,m}$ field $F$, the symbol length of $H_p^2(F)$ is bounded from above by $p^{m-1}-1$ and for any $n \geq \lceil (m-1) \log_2(p) \rceil+1$, $H_p^{n+1}(F)=0$

Cyclic Length in the Tame Brauer Group of the Function Field of a p-Adic Curve

Let $F$ be the function field of a smooth curve over the $p$-adic number field \Q_p. We show that for each prime-to-$p$ number $n$ the $n$-torsion subgroup \H^2(F,\mu_n)={}_n\Br(F) is generated by $\Z/n$-cyclic classes; in fact the $\Z/n$-length is equal to two. It follows that the Brauer dimension of $F$ is two (first proved in \cite{Sa97}), and any $F$-division algebra of period $n$ and index $n^2$ is decomposable

The natural resources of Los Penasquitos Lagoon

The purpose of this report is to document the natural resources of Los Penasquitos Lagoon, San Diego County; to outline and evaluate proposed developments affecting those resources; and to recommend measures that will protect and enhance the lagoon and its environs. The necessity for a report of this nature has become apparent with the progressive destruction of California's coastal wetlands over the past fifty years. These wetland resources, which are virtually irreplaceable, are essential to the continued existence of many forms of resident fish and wildlife and to the preservation of migratory shorebirds and waterfowl. Approximately 60 percent of the tidal wetlands in California has already been destroyed (Speth, 1970); and, it is estimated that only 10 percent is left of the original acreage of coastal marshland in San Diego County. The future of the remaining wetland habitats continues to be threatened. There is an urgent need, therefore, for sound planning to protect these wetlands and to prevent their otherwise inevitable disappearance as a valuable natural resource. (100pp.

Cloud Computing: TOE Adoption Factors By Service Model In Manufacturing

Organizations are adopting cloud technologies for two primary reasons: to reduce costs and to enhance business agility. The pressure to innovate, reduce costs and respond quickly to changes in market demand brought about by intense global competition has U.S. manufacturing firms turning to cloud computing as an enabling strategy. Cloud computing is a service based information technology model that enables on-demand access to a shared pool of computing services provisioned over a broadband network. Cloud is categorized across three primary service models, Infrastructure as a Service (IaaS), Platform as a Service (PaaS), and Software as a Service (SaaS), differentiated by the cloud provider’s level of responsibility for managing hardware services, development platforms and application services. While prior research in cloud computing has sought to define the concept and explore the business value, empirical studies in the Information Systems literature stream are sparse, limited to exploratory case studies and SaaS research. Using the Technology, Organization, and Environment framework as a theoretical foundation, this research provides a holistic cloud adoption model inclusive of all cloud service layers. The study analyzes factors influencing organizational cloud adoption utilizing survey data from 150 U.S. manufacturing firms. The results find organizational innovativeness as a crucial factor to cloud computing adoption in manufacturing. An inverse factor relationship suggests the more innovative the firm culture, the less likely it is to adopt cloud. Other significant adoption factors include trust and technical competency. Findings also suggest variations in adoption influences based on the cloud service model deployed. The study has strategic implications for both researchers and managers seeking to understand the antecedents to adoption, and for practitioners developing an organizational cloud strategy spanning multiple cloud service models. For vendors, the study provides insights that can be leveraged to inform product design, solution strategy, and value proposition creation for future cloud service offerings

Combat Psychology: Learning to Kill in the U.S. Military, 1947-2012

In his 1947 work Men Against Fire: The Problem of Battle Command, historian S. L. A. Marshall convinced the U.S. government and military of the critical need for improved techniques in combat psychology. However, his more fundamental assertion that soldiers needed to be trained to overcome an innate psychological resistance to killing would prompt some in the military as well as scholars and medical experts to examine the heart and mind of the soldier in combat. As a result, an emergent science called killology became a critical component in the U.S. military’s quest to better train soldiers for the rigors of combat. This thesis will explore the development of sophisticated technology and training techniques used by the U.S. military to create soldiers that were more efficient at killing in combat

HIGHLY EFFICIENT SINGLE-LONGITUDINAL-MODE BETA-BAB2O4 OPTICAL PARAMETRIC OSCILLATOR WITH A NEW CAVITY DESIGN

A new coupled-cavity design for single-longitudinal-mode operation of an optical parametric oscillator (OPO) is presented. The OPO is based on a beta-BaB2O4 crystal and is pumped by the third harmonic of a Nd:YAG laser. With this design, we achieved single-longitudinal-mode operation of the OPO with a decrease in the threshold and an increase in external efficiency compared with those of a conventional grazing-incidence OPO. A mathematical model that describes the mode spacings for this cavity is given. (C) 1995 Optical Society of Americ