COMP 150PGM - Spring 2011 - Homework 5

Due in class on Wednesday, March 16

Use Equation 4.8 on page 129 to calculate the canonical energy functions for the Misconception example relative to the assignment (a⁰, b¹, c¹, d⁰). The probability distribution can be found in Figure 4.2 on page 105. Show the steps in your calculations and use Theorem 4.7 to verify your answers.

The example in Figure 4.11 has some errors. The nonzero values should be:

• epsilon*1(1, 1) = 4.09
• epsilon*2(1, 1) = 9.21
• epsilon*3(1, 1) = -9.21
• epsilon*4(1, 1) = 9.21
• epsilon*5(1) = -8.01
• epsilon*6(1) = -6.4
• epsilon*9( ) = -3.18

All values have been rounded to two decimal places. The remaining 18 values are zero.