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COS1501 - Theoretical Computer Science I Summary Study Notes
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COS1501 - Theoretical Computer Science I Summary Study Notes. 
The development of 
number systems: 
Z 
+ 
, Z 
≥ and Z 
Positive integers: Z 
+ 
Z 
+ = {1, 2, 3, …} Law 1-7 
Non-negative integers: Z 
≥ 
Z 
≥ = {0, 1, 2, 3, …} Law 1-9 
Integers: Z 
Z = {... , -3, -2, -1, 0, 1, 2, …} Law 1-10 (Law 6 is different) and Def 1-3 
The Laws for Z+ and Z≥ 
Law 1 (commutativity): 
For all non-negative integers m and n, 
m + n = n + m and 
mn = nm. 
Law 2 (associativity): 
For all non-negativ...
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