PDF-Constitutive Equations and Linear Elasticity

ForcesDisplacements Generalized Hooke. e Ax where is vector is a linear function of ie By where is then is a linear function of and By BA so matrix multiplication corresponds to composition of linear functions ie linear functions of linear functions of some variables Linear Equations This module covers the relationships between price and quantity. , elastic demand, inelastic demand, and optimal price under conditions of constant elasticity.. Authors: Paul Farris and Phil Pfeifer. Mr. Barnett. University High. AP Economics. 2012-2013. Elasticity . We already know that if the price of a good rises, consumers will buy less. But….. how much . less?. Economists measure the change through .  . Elasticity measures the degree of one variable’s dependence on another variable, or the “sensitivity” of one variable to a change in another variable. .  . While calculating elasticity, changes are expressed in relative (percentage) terms. . 10/13 Objectives. Learning Objective: . Understand the concepts of driving and resisting forces, and constitutive equations in geomorphologic processes.. Example of the use of constitutive equations to model flow processes. By:. Emily Zhou. What is a Linear Equation?. A linear equation is an equation whose graph forms a straight line.. Linear equations are usually shown on a coordinate plane. Real life situations of linear equations include the stock market as well as the payments of a car.. 1. Chapter 6. Elasticity. 2. Concepts in this chapter:. Price elasticity of demand. Cross price elasticity of . demand. Income elasticity of demand. Price elasticity of supply. Elasticity measures sensitivity. Elasticity of Demand describes the percentage change in . quantity demanded. that follows a price . change.. Elasticity of Demand. Demand is . Elastic. Demand is . Inelastic. . Change in Price. Large Change in . By graphing. Definition. A system of linear equations, aka linear system, consists of two or more linear equations with the same variables.. x + 2y = 7. 3x – 2y = 5. The solution. The solution of a system of linear equations is the ordered pair that satisfies each equation in the system. . In this chapter, look for the answers to these questions:. What is elasticity? What kinds of issues can elasticity help us understand?. What is the price elasticity of demand? How is it related to the demand curve? How is it related to revenue & expenditure?. Dr Brian O’ Boyle . St Angela’s College . S. ligo. Elasticity. How would we expect a student to answer to the following question. Explain in your own words what elasticity means?. Elasticity – Application of Rational Choice. Fundamentals of. Consumer Choice. Fundamentals of Consumer Choice. Factors affecting choice. :. Limited income necessitates choice.. Consumers make choices purposefully.. One good can be substituted for another.. Fundamentals of. Consumer Choice. Fundamentals of Consumer Choice. Factors affecting choice. :. Limited income necessitates choice.. Consumers make choices purposefully.. One good can be substituted for another.. Elasticity – the concept. The responsiveness of one variable to changes in another. When price rises, what happens . to demand?. Demand falls. BUT!. How much does demand fall?. Elasticity – the concept.