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8.10.2 Unitary Matrices
8.10.3 Unimodular Matrices
8.11 MATLAB Commands Review

9. Transformations
9.1 Two-dimensional (2-D) Geometric Transformations
9.1.1 Polygonal Figures Construction
9.1.2 Inversion about the Origin and Reflection about the
Coordinate Axes
9.1.3 Rotation around the Origin
9.1.4 Scaling
9.1.5 Translation
9.2 Homogeneous Coordinates
9.3 Manipulation of 2-D Images
9.3.1 Geometrical Manipulation of Images
9.3.2 Digital Image Processing
9.3.3 Encrypting an Image
9.4 Lorentz Transformation*
9.4.1 Space-Time Coordinates
9.4.2 Addition Theorem for Velocities
9.5 MATLAB Commands Review

10. A Taste of Probability Theory*
10.1 Introduction
10.2 Basics
10.3 Addition Laws for Probabilities
10.4 Conditional Probability
10.4.1 Total Probability and Bayes Theorems
10.5 Repeated Trials
10.5.1 Generalization of Bernoulli Trials
10.6 The Poisson and the Normal Distributions
10.6.1 The Poisson Distribution
10.6.2 The Normal Distribution

Supplement: Review of Elementary Functions
S.1 Affine Functions
S.2 Quadratic Functions
S.3 Polynomial Functions
S.4 Trigonometric Functions
S.5 Inverse Trigonometric Functions
S.6 The Natural Logarithmic Function
S.7 The Exponential Function
S.8 The Hyperbolic Functions
S.9 The Inverse Hyperbolic Functions

Appendix: Some Useful Formulae

© 2001 by CRC Press LLC