Multi-valued Solutions for the Equation of Motion, Darcy-Jordan Model, as a Cauchy Problem: A Shocking Event

Shocks are physical phenomenon that occur quite often around us. In this thesis we examine the occurrence of shocks in finite amplitude acoustic waves from a numerical perspective. These waves, or jump discontinuities, yield ill-behaved solutions when solved numerically. This study takes on the challenge of finding both single- and multi-valued solutions. The previously unsolved problem in this study is the representation of the Equation of Motion (EoM) in the form of the Darcy-Jordan model (DJM) and expressed as a dimensionless IVP Cauchy problem. Prior attempts to solve have resulted only in implicit solutions or explicit solutions with certain initial conditions. The approach taken in this study is the development of a hybrid algorithm combining the reliability of the Bisection Method and the efficiency of the Secant method. The developed algorithm is coded in MATLAB

Invisible Sovereign: Imagining Public Opinion From the Revolution to Reconstruction

The Evolving Role of Public Opinion in America While the general public’s thoughts are ubiquitous in our age of constant poll results and social media, Prof. Mark G. Schmeller argues that public opinion also held a central role in early American culture and politics. However, the process t...

The Validity of Karl Marx’s Theory of Historical Materialism

Marx’s theory of historical materialism uses the evolution of productive forces and class struggle to explain history. With the fall of communism in the 20th century, many components of historical materialism have come under fire. This paper is a defense of the validity of historical materialism and concludes that some of the arguments against Marx’s theory are unfounded, while others still hold weight. What remains is a broad view of history that still has value

Safety Issues in the Pharmacologic Management of Chronic Pain in the Elderly

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/90289/1/j.1875-9114.1998.tb03154.x.pd

MS

thesisHealth care cost containment and nursing's role in fiscal accountability are important areas of research in nursing administration. The use of patient classification as a means of variable billing for Nursing Services addresses the issue of care versus cost. The purposes of this study were to a) develop variable nursing care charger for the ICU/CCU at St. Mark's Hospital based of patient classification data from July 1, 1981 through June 30, 1982; b) compare and contrast projected revenues generated by per diem charges; c) compare and contrast projected and actual revenues with total costs and nursing costs, and d) formulate specific recommendations for the implementation of variable charging system to evaluate the fiscal efficiency of nursing services. The data were gathered from ICU/CCU Patient Classification Report Forms and Cost Analysis Reports to develop the Variable Nursing Charge System to be profitable in all four fiscal quarters with a closer proportional approximation of cost to revenues. The following implications for nursing administration are apparent. Patient classification is an efficient, effective means of manpower resource management. Variable billing based on patient classification can be developed to make nursing service an accountable revenue-generating department. Recommendations for implementation and suggestions for future research are also presented