Homework 2

# Homework 2 - M326K Homework#2 due Friday 2/1 Objective To reinforce and practice applying some of the concepts and terminology in the class

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M326K Homework #2: due Friday, 2/1 Objective : To reinforce and practice applying some of the concepts and terminology in the class activity “A Finite Number System”. Note : If you have not ﬁnished Problems 1-7 of Class Activities Handout 1, ﬁnish them out- side of class, either by yourself or with others. (A sample write-up of some of these problems is posted on Blackboard under “Course Documents”.) Read “Tips for Writing Up Home- work” at the end of your syllabus. You can ﬁnd this on Blackboard under “Assignments (About the Homework)” as well. To Hand In : Sara and Jon made up a “number system”. The objects in this system are α,β,γ,δ and the operation (which they decided to call “addition”) is +. The operation is deﬁned by the table below. + α β γ δ α δ γ β α β γ δ α β γ β α δ γ δ α β γ δ 1. Is this system closed under +? Explain why or why not. 2. Is + in this system commutative? What pattern in the table reveals commutativity?

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## This note was uploaded on 03/19/2008 for the course M 326K taught by Professor Harper during the Spring '08 term at University of Texas at Austin.

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Homework 2 - M326K Homework#2 due Friday 2/1 Objective To reinforce and practice applying some of the concepts and terminology in the class

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