M 311 Spring 2004
HOMEWORK SUMMARY REPORT
Chapter number: 5
Section number: 1
Exercise number: 8
Number of papers received: 7
Reviewing committee: Theta
List all participating committee members:
Xujia Zhang,Jason Madsen
Author(s) of paper(s) chosen for publication:
Kathryn Turner [and Amanda Coots and Brian Young]
Comments:
Seven papers were received for problem 5.1.8. All of them are correct.
Three different methods were used by the authors to solve this problem.
Among them, Kathryn Turner did a very good job with explaning how to solve
this problem step-by-step, and that's why her paper was chosen for
publication.
GRADER'S COMMENT: Many papers checked the expression for linearity
without even mentioning the solution set. I think this doesn't really
answer the question.
INSTRUCTOR'S COMMENT: Since there are three different methods, I'll
publish all three. The methods are:
1. Check the expression for linearity and draw the correct conclusion
about the solution set.
2. Show an explicit counterexample to closedness under the algebraic
operations.
3. Find a parametric representation of the solution set.