the body in response to it. The modulus of elasticity of a material is a measure of its stiffness and for most materials remains constant over a range of stress. . Material | Elastic Modulus | | MPa | psi | Steel | 200‚000 | 30‚000‚000 | Poisson ratio It is the negative ratio of transverse to axial strain. In fact‚ when a sample object is stretched (or squeezed)‚ to an extension (or contraction) in the direction of the applied load‚ it corresponds a contraction (or extension) in a direction
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RISK THEORY - LECTURE NOTES 1. INTRODUCTION The primary subject of Risk Theory is the development and study of mathematical and statistical models to describe and predict the behaviour of insurance portfolios‚ which are simply financial instruments composed of a (possibly quite large) number of individual policies. For the purposes of this course‚ we will define a policy as a random (or stochastic) process generating a deterministic income in the form of periodic premiums‚ and incurring financial
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Suggested Books: • Discrete-event System Simulation J. Banks‚ J.S. Carson and B.L. Nelson Prentice Hall International‚ 1994 SIMULATION AND MODELLING Tony Field and Jeremy Bradley {ajf‚jb}@doc.ic.ac.uk • Simulation Modeling and Analysis A.M. Law and W.D. Kelton McGraw Hill‚ 2000 • Probabilistic Modelling I. Mitrani Cambridge University Press‚ 1998 1 2 • A Compositional Approach to Performance Modelling (first three chapters) J. Hillston Cambridge University Press‚ 1996. On-line at:
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DEMAND FORECASTING The Context of Demand Forecasting The Importance of Demand Forecasting Forecasting product demand is crucial to any supplier‚ manufacturer‚ or retailer. Forecasts of future demand will determine the quantities that should be purchased‚ produced‚ and shipped. Demand forecasts are necessary since the basic operations process‚ moving from the suppliers’ raw materials to finished goods in the customers’ hands‚ takes time. Most firms cannot simply wait for demand to emerge and then
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Observing the patterns of patients‚ in order to detect the groups of patients‚ we design a generative process of the patterns incorporating diagnosis groups as latent variables. First‚ we assume the patterns in a particular diagnosis group follow a multinomial distribution‚ which is a random variable draws from a prior Dirichlet distribution. By making analogies between words in documents and patterns of patients and inspiring from bag-of-words‚ we represent the observed patterns of a patient as
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Critical appraisal Holland R et al Effectiveness of visits from community pharmacists for patients with heart failure: HeartMed randomised controlled trial http://www.bmj.com/cgi/reprint_abr/334/7603/1098 AIM The aim was to see if community pharmacists can reduce re-admission to hospital for patients known to have heart failure. Heart failure is a common and serious illness so this is a worthwhile research topic. SETTING AND EXCLUSIONS The setting is stated as three large district
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server [pic]or use lookup table if s > 1 Parameters s Number of Servers λ Frequency of arrivals -> x/day / x/hr / x/minute τ Average service time -> days / hrs / minutes μ=1/ τ Service rate ρ Utilization; ρ = λτ/s CV Coefficient of variation; CV = σ/μ (stddev/mean) CVS Variation of service time = στ/μτ‚ = 1 if Exponential‚ 0 if constant. CVA Variation of arrival rate = σλ/μλ‚ = 1 if Poisson. Average performance measures Wq Waiting time W Total throughput time Lq Number of customers
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General Certificate of Education (International) Advanced Level and Advanced Subsidiary Level Syllabus MATHEMATICS 9709 For examination in June and November 2009 CIE provides syllabuses‚ past papers‚ examiner reports‚ mark schemes and more on the internet. We also offer teacher professional development for many syllabuses. Learn more at www.cie.org.uk MATHEMATICS GCE Advanced Subsidiary and GCE Advanced Level 9709 CONTENTS Page INTRODUCTION 1 AIMS 2 ASSESSMENT
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Prestonia amazonica in this study led American ethnobotanist Richard Evans Schultes (1915–2001) and other scientists to raise serious doubts about the claimed plant identity.[19][20] A better evidence is produced in 1965 by French pharmacologist Jacques Poisson who isolated DMT as sole alkaloid from leaves‚ provided and used by
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Return on Investment 23 Define sunk costs and give an example. Rate acceleration example. The difference between Monte Carlo sampling and Latin Hypercube sampling. DROI Investment Decision indicators in PE: Internal Rate of Return IRR: Utility Theory: Poisson method: 25 Bow tie diagram 25 Multiple choice 25 24 24 24 24 24 24 24 Revenue‚ Capex‚ Opex Revenue: production profile‚ gas/oil price CAPEX: Are one-time costs occurring at the beginning of projects. They can be classified by purpose: exploration
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