Algebraic topology

2007-2008 JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY, HYDERABAD B.TECH. ELECTRONICS AND COMMUNICATION ENGINEERING I YEAR COURSE STRUCTURE Code Subject English Mathematics - I Mathematical Methods Applied Physics C Programming and Data Structures Network Analysis Electronic Devices and Circuits Engineering Drawing Computer Programming Lab. IT Workshop Electronic Devices and Circuits Lab English Language Communication Skills Lab. Total T 2+1 3+1 3+1 2+1 3+1 2+1 3+1 25 P/D 3 3 3 3 3 15 C 4 6 6 4

CHAPTER 1 INTRODUCTION 1.1 Introduction Non Conventional energy resources like wind, biomass, tidal /wave and small hydro potential were used due to fast depletion of fossil fuels. A micro-hydro system using natural hydro potential with minimal civil works is a strong candidate in this race. However, the system must be economical, rugged, and user friendly since local communities are often not techno-savvy. Uncontrolled low head turbines are prescribed for such applications [1]-[5], which maintain

8 CHAPTER 3 INTRODUCTORY TOPICS III: MISCELLANEOUS Answers to Even-Numbered Problems 3.1 √ √ √ √ √ √ √ 2. (a) 2 0 + 2 1 + 2 2 + 2 3 + 2 4 = 2(3 + 2 + 3) (b) (x + 0)2 + (x + 2)2 + (x + 4)2 + (x + 6)2 = 4(x 2 + 6x + 14) (c) a1i b2 + a2i b3 + a3i b4 + · · · + ani bn+1 (d) f (x0 ) x0 + f (x1 ) x1 + f (x2 ) x2 + · · · + f (xm ) xm 2·3+3·5+4·7 6 + 15 + 28 49 4. · 100 = · 100 = · 100 ≈ 144.12 1·3+2·5+3·7 3 + 10 + 21 34 6. (a) The total number of people moving from region i. (b) The total number

Game Theory and Economic Analysis Game Theory and Economic Analysis presents the wide range of current contributions of game theory to economics. The chapters fall broadly into two categories. Some lay out in a jargon-free manner a particular branch of the theory, the evolution of one of its concepts, or a problem that runs through its development. Others are original pieces of work that are significant to game theory as a whole. After taking the reader through a concise history of game theory