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L09_Mon_Feb_01 - MAE3811Sp 2010 Mahoney1 Recap So last time...

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1 MAE3811–Sp. 2010 Mahoney–1 Recap…. So last time we introduced number systems and looked at some examples…. Number systems are extensions of [everyday] language that allow us to count things. They consists of symbols and rules (properties). …They initially only describe the Natural Numbers The tally system is the most basic system but only the smallest numbers can be described with any efficiency The Egyptian system had multiple symbols with different Face Values and an additive property . They favored powers of 10 like we do. The Babylonian system took advantage of a place holder system and later featured a zero like concept . MAE3811–Sp. 2010 Mahoney–2 Suppose you saw this funky set defined with set builder notation. What’s it mean… What is one element that this set has that the Natural Numbers do not…. Today we define this set as….
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2 MAE3811–Sp. 2010 Mahoney–3 The whole numbers possess the concept of zero and the Mayans numeration symbol had a zero, possibly from the start.
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