Elements of Information Theory Second Edition Solutions to Problems Thomas M. Cover Joy A. Thomas October 17‚ 2006 1 COPYRIGHT 2006 Thomas Cover Joy Thomas All rights reserved 2 Contents 1 Introduction 7 2 Entropy‚ Relative Entropy and Mutual Information 9 3 The Asymptotic Equipartition Property 49 4 Entropy Rates of a Stochastic Process 61 5 Data Compression 97 6 Gambling and Data Compression 139 7 Channel Capacity 163 8 Differential Entropy 203 9 Gaussian channel 217 10
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The 1920’s was revolutionized by many historical characters‚ but the most influential was Albert Einstein. As a kid‚ he was always attracted to the universe and he never lost his passion‚ even through adulthood (“Einstein‚ Albert” 2). He was determined to solve the universe’s problems‚ and this made him one of the most important scientists to ever live. Despite the fact Einstein disliked school‚ he had a deep passion for mathematics and an orderly universe which led to his many revolutionary
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Fashion in the 60’s The 60’s were a time of change and challenge. They brought hippies‚ space age‚ folk music‚ and the Beatles. Women’s skirts got shorter‚ men’s hair got longer‚ and everyone talked about love. The 60’s was characterized by the feeling that a break with the past had been achieved. Clothes‚ furniture‚ and products all looked newer‚ brighter‚ and more fun. The swinging 60’s were at their height. Women’s hemlines were very short. Fashion in the 60’s tended to encourage
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PERSONAL TRAINER‚ INC. Personal Trainer‚ Inc. owns and operates fitness centers in a dozen Midwestern cities. The centers have done well‚ and the company is planning an international expansion by opening a new “supercenter” in the Toronto are. Personal Trainer’s president‚ Cassia Umi‚ hired an IT consultant‚ Susan Park‚ to help develop an information system for the new facility. During the project‚ Susan will work closely with Gray Lewis‚ who will manage the new operation. Background During requirements
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• S-R Theory • Stimulus • Response • Theory • Classical conditioning • The memory system that links perceptual information to the proper motor response • Necessary component: Observable Experiments • The probability of a verbal response is conditional on four things: reinforcement‚ stimulus control‚ deprivation‚ and aversive stimulation. • If a dog brought its human a ball and the human pet it‚ the dog’s behavior would be reinforced‚ and it would be more apt to getting the ball
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inability to circumvent changes in interest rates or the price of supplies and charter provisions which may prevent or delay changes in management. Despite increasing current ratios‚ both companies are increasing liquidity risk by not having a standard 2:1 ratio. Caribou looks to have more liquidity based on cash to current assets and cash to current liability ratios but has seen a rise in days’ sales in receivables. Caribou also converts inventory to cash quicker than Starbucks. However‚ Starbucks
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The 1950s was an exciting time for many‚ the war was over and the economy began to flourish once more. Men were back home and ready to work and women were back to doing their womanly duties again (cooking and cleaning) this reflected the social position of the women following the war. The 1950s was all about family and being home and the clothing changed because of it. Women were back at home no longer needing to work and wearing clothing that would prevent them from doing anything but womanly tasks
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In the "renaissance" period of life‚ he again tasted long-forgotten joy while reading "Siegfried and the Twilight of the Gods‚ forsook the occult and thirst for magic‚ and became engulfed by "Northerness". Wyvern College was the place that adult said was "preparation for real life"‚ however instead of “[putting] them in their place” (p.41) all the fagging produced the very conceit and priggishness that it professed to cure. The strict oligarchy of dominating Bloods
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(and therefore illegitimate‚ as Catholic priests do not marry). They have a twenty-year-old daughter Malyne and a six-month-old son. When Simkin overcharged for his latest work grinding corn for Soler Hall‚ a Cambridge University college also known as King’s Hall‚ the college steward was too ill to face him. Two students there‚ John and Aleyn‚ are very outraged at this latest theft and vow to beat the miller at his own game. John and Aleyn pack an even larger amount of wheat than usual and say
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gathering Answer: A Diff: 1 Type: MC Page Ref: 5 Learning Obj.: 1-1 Identify the components of an audit and explain why there is a demand for audits 2) Auditing should be done by a qualified A) chartered accountant. B) certified management accountant. C) competent and independent person. D) professional accountant. Answer: C Diff: 2 Type: MC Page Ref: 5 Learning Obj.: 1-1 Identify the components of an audit and explain why there is a demand for audits 3) Which of the following
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