A Refinement of Jensen's Discrete Inequality for Differentiable Convex Functions

A refinement of Jensen’s discrete inequality and applications for the celebrated Arithmetic Mean – Geometric Mean – Harmonc Mean inequality and Cauchy-Schwartz-Bunikowski inequality are pointed out

Assessment of the Building Situation Tool adoption among firefighters

Abstract. Technology and technical tools have become standard resources that first responders use in their work. Throughout an incident, technology serves to improve communications, planning, safety, situational awareness, and decision-making. Certain incidents require specialized tools to resolve the crisis, whether it is for the law enforcement, medical, or firefighter unit to manage. One under-utilized technology is building sensors, recording information on temperature, CO2, smoke, airflow, and movement in the building. While modern buildings include sensors to monitor for potential dangers, that information is not shared with the fire department beyond notification of a fire alert. Despite the considerable number of hardware and software solutions adopted, firefighters in Kainuu, Finland still rely on paper plans when examining indoor disasters. The Building Situation Tool (BUST) was developed to utilize the building sensors and visualize the building as a 3D model, to provide firefighters with a realtime overview of the site during emergencies. The purpose of this study is to investigate the technological competencies of firefighters, determine the usability and ease of use of BUST, and examine the factors that influence the adoption of BUST. The constructs of the Technology Acceptance Model (TAM), selfefficacy, and workplace learning are used. These three constructs provide insight into how the intention to use technology is modeled, how users perceive their knowledge and use of technology, and how the workplace influences learning and performance. A mixed-method approach was used in this study. The firefighter’s technology self-efficacy, perceived usefulness, and ease of were recorded through quantitative questionnaires. The firefighter’s experiences in using the technology and factors that influence adoption were recorded through a questionnaire and interview. The findings show a sufficient level of competency, that first-time users prefer guided instructions, clarity in the user interface, controls, and options to customize the user interface. The findings have practical implications for the future development of BUST and its adoption in the workflow of firefighters

An Operator Product Expansion for Polygonal null Wilson Loops

We consider polygonal Wilson loops with null edges in conformal gauge theories. We derive an OPE-like expansion when several successive lines of the polygon are becoming aligned. The limit corresponds to a collinear, or multicollinear, limit and we explain the systematics of all the subleading corrections, going beyond the leading terms that were previously considered. These subleading corrections are governed by excitations of high spin operators, or excitations of a flux tube that goes between two Wilson lines. The discussion is valid for any conformal gauge theory, for any coupling and in any dimension. For N=4 super Yang Mills we check this expansion at strong coupling and at two loops at weak coupling . We also make predictions for the remainder function at higher loops. In the process, we also derived a new version for the TBA integral equations that determine the strong coupling answer and present the area as the associated Yang-Yang functional.Comment: 48 pages, 12 figures, harvmac. v2 fixed a small issue regarding divergence

Polynomial Solutions of Shcrodinger Equation with the Generalized Woods Saxon Potential

The bound state energy eigenvalues and the corresponding eigenfunctions of the generalized Woods Saxon potential are obtained in terms of the Jacobi polynomials. Nikiforov Uvarov method is used in the calculations. It is shown that the results are in a good agreement with the ones obtained before.Comment: 14 pages, 2 figures, submitted to Physical Review

A Geochemical Study of a Marsh Environment

The goal of this study was twofold: 1) chemically to characterize a specific salt marsh, the sediments and associated biota and 2) to establish clear relationships between the chemical substances residing in the sediments and similar or identical substances occurring in the biological specimens. In this particular study it was felt that the hydrocarbons would yield the most significant organic geochemical information. These compounds are ubiquitous but minor components of all organisms. Though their function is not entirely understood, it is known that they are concentrated in the waxy coatings of plants and most likely aid in the protective mechanisms of plants. Among the several classes of biochemical materials, the hydrocarbons exhibit probably the greatest resistance to biological and chemical degradation and therefore may be preferentially concentrated and preserved in sedimentary environments. An extreme variety of specific hydrocarbons occurs naturally in plants and hence the possible combinations and distributions of these hydrocarbons are limitless. The stability and unique distributions of hydrocarbons ranks them as a very important tool in the correlation of biolipids and geolipids

A Geochemical Study of a Marsh Environment

The goal of this study was twofold: 1) chemically to characterize a specific salt marsh, the sediments and associated biota and 2) to establish clear relationships between the chemical substances residing in the sediments and similar or identical substances occurring in the biological specimens. In this particular study it was felt that the hydrocarbons would yield the most significant organic geochemical information. These compounds are ubiquitous but minor components of all organisms. Though their function is not entirely understood, it is known that they are concentrated in the waxy coatings of plants and most likely aid in the protective mechanisms of plants. Among the several classes of biochemical materials, the hydrocarbons exhibit probably the greatest resistance to biological and chemical degradation and therefore may be preferentially concentrated and preserved in sedimentary environments. An extreme variety of specific hydrocarbons occurs naturally in plants and hence the possible combinations and distributions of these hydrocarbons are limitless. The stability and unique distributions of hydrocarbons ranks them as a very important tool in the correlation of biolipids and geolipids

Communication by Fire (and Smoke) Signals in the Kingdom of Judah

This paper examines the use of ancient fire and smoke signals for communication in the Kingdom of Judah. Historical and biblical references are cited that discuss this communication system. The current physical and political landscape of Israel precludes testing of hypotheses using traditional techniques. The use of a GIS is enlisted to overcome these obstacles and predict line-of-sight patterns that are conducive for a fire signal communication system. Final demonstration of this predictive model will incorporate state-of-the-art technology and in-field data acquisition to provide the sufficient accuracy that is required for proof-of-concept. This research will provide insight into the technical capability of the ancient Israelites for communication across a mountainous, desert environment

Some results for the class of analytic functions involving Salagean differential operator

Let denote the class of function , analytic and univalent in the open unit disk , which are defined involving the Salagean differential operator , such that , . In this paper, some properties such as a representation theorem and coefficient estimates for the class are obtained