PPT-Lecture 5: Objective Equations

AGEC 352 Fall 2012 September 10 R Keeney Linear Programming Linear All of the functions are linear in the variables Constraint inequalities feasible space Objective equation Programming. 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 . L. 1. , . L. ∞. . Norm Problems. and. Linear Programming. Syllabus. Lecture 01 Describing Inverse Problems. Lecture 02 Probability and Measurement Error, Part 1. Lecture 03 Probability and Measurement Error, Part 2 . I Can: . solve systems of equations by graphing.. What is a system of equations?. A system of equations is when you have two or more equations using the same variables.. The solution to the system is the point that satisfies . PHY 711 Fall 2014 -- Lecture 13. 1. PHY . 7. 11 Classical Mechanics and Mathematical Methods. 10-10:50 AM MWF Olin 103. Plan for Lecture 13:. Finish reading Chapter 6. Canonical transformations. Hamilton-Jacobi . PHY 752 Spring 2015 -- Lecture 14. 1. PHY 752 Solid State Physics. 11-11:50 AM MWF Olin 107. Plan for Lecture 14:. Reading: Chapter . 10 in MPM . Numerical Realizations of Density functional theory. PHY 113 A Fall 2013 -- Lecture 1. 1. PHY 113 C General Physics I. 11 AM-12:15 PM TR Olin 101. Plan for Lecture 1:. Welcome . & overview. Class structure & announcements. Chapter 1 – measurement & units. PHY 711 Fall 2016 -- Lecture 29. 1. PHY . 7. 11 Classical Mechanics and Mathematical Methods. 11-11:50 AM MWF Olin 107. Plan for Lecture . 2. 9:. Chapter 10 in F & W: Surface waves. . -- Non-linear contributions and . conjugate momentum. cyclic coordinates. Informal derivation. Applications/examples. 1. 2. Define . the . conjugate momentum. Start with the Euler-Lagrange equations. The Euler-Lagrange equations can be rewritten as. 1. PHY . 7. 11 Classical Mechanics and Mathematical Methods. 10-10:50 AM MWF Olin 103. Plan for Lecture . 34:. Chapter 10 in F & W: Surface waves. . -- Non-linear contributions and . soliton. 1. PHY 745 Group Theory. 11-11:50 AM MWF Olin 102. Plan for Lecture 24:. Jahn. -Teller Effect. S. ection 7.7 in . DDJ. Example of tetrahedral molecule with doubly or triply degenerate electronic states.. Introduce the concept of duality.. Chapter 8.10 in Fundamentals of Electric Circuits. Parallelism Between Components. Two circuits are said to be duals of one another if they are described by the same characterizing equations with . 2. 8.1: First Order Systems. We now look at systems of linear differential equations.. One of the main reasons is that any nth order differential equation with n > 1 can be written as a first order system of n equations in n unknown functions.. 1. Today we will.... Learn how combinations of lenses form images. Thin lens equation & magnification. Learn about the compound microscope. Eyepiece & objective . Total magnification. Learn about limits to resolution. . Norm Problems. and. Linear Programming. Syllabus. Lecture 01 Describing Inverse Problems. Lecture 02 Probability and Measurement Error, Part 1. Lecture 03 Probability and Measurement Error, Part 2 .