L11_blanks - Day 13 Philanthropic Philosophy of Functions 2...

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1 Day 13 Philanthropic Philosophy of Functions 2 Today’s Travel Plans Modeling Lists Ordered Pairs Cartesian Products Modeling Relationship Modeling Questions Functions, Conceptually Functions, Terminology Functions, Notation Functions, Visual Notation A Better way to Model Lists
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2 3 So Up Till Now… The only consistent trait that this class and classes like it have is that contemporary math classes focus on how mathematics ___________ things. Our first unit is mostly about how to model numbers and the ability to ______________ things. We will now start to look at how Mathematics Models more than just numbers… 4 Modeling Lists We all know what a list is… or we do from the “Take it for Granted” perspective. What is a list to you? We can model a list with one thing on it, simply as a set with _____ thing _____ it. How to Model a list with two things then?
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3 5 Ordered Pairs An Ordered Pair is a ___________ of an ordered list of two things. Definition: We call ____________ an ordered pair where “a” and “b” are called the ______________ of the ordered pair and could be anything. “a” is the __________ _____________ while “b” is the ___________ _______________. 6 Ordered Pairs -- Examples Does the ordered pair (1, 2) equal (3, 4) Are they equivalent though? What about (1, 2) and (2, 1)
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4 7 Ordered Pairs -- Equality Given two ordered Pairs (a, b) and (c, d) we know they must be equal if “a”=“c” and “b”=“d” since they have the same _________ and ___________ components . Is there any other way the two ordered pairs could be equal? Suppose
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This note was uploaded on 07/23/2011 for the course MGF 1107 taught by Professor Staff during the Fall '08 term at University of Florida.

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L11_blanks - Day 13 Philanthropic Philosophy of Functions 2...

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