Book contents
- Frontmatter
- Contents
- Preface to the second edition
- Preface to the first edition
- 1 Introduction
- 2 Combinatorics
- 3 Sets and measures
- 4 Probability
- 5 Discrete random variables
- 6 Information and entropy
- 7 Communication
- 8 Random variables with probability density functions
- 9 Random vectors
- 10 Markov chains and their entropy
- Exploring further
- Appendix 1 Proof by mathematical induction
- Appendix 2 Lagrange multipliers
- Appendix 3 Integration of exp(−½x2)
- Appendix 4 Table of probabilities associated with the standard normal distribution
- Appendix 5 A rapid review of matrix algebra
- Selected solutions
- Index
Appendix 2 - Lagrange multipliers
Published online by Cambridge University Press: 06 July 2010
- Frontmatter
- Contents
- Preface to the second edition
- Preface to the first edition
- 1 Introduction
- 2 Combinatorics
- 3 Sets and measures
- 4 Probability
- 5 Discrete random variables
- 6 Information and entropy
- 7 Communication
- 8 Random variables with probability density functions
- 9 Random vectors
- 10 Markov chains and their entropy
- Exploring further
- Appendix 1 Proof by mathematical induction
- Appendix 2 Lagrange multipliers
- Appendix 3 Integration of exp(−½x2)
- Appendix 4 Table of probabilities associated with the standard normal distribution
- Appendix 5 A rapid review of matrix algebra
- Selected solutions
- Index
Summary
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- Type
- Chapter
- Information
- Probability and InformationAn Integrated Approach, pp. 249 - 251Publisher: Cambridge University PressPrint publication year: 2008