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Beginning Pre-Calculus for Game Developers by Boris Meltreger, John P. Flynt

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Correspondence Between Sets

To take the examination of ordered pairs into slightly more detail, suppose that you create two sets, A and B, and you assign them elements as follows:

A = {1, 2, 3, 4} B = {w,x, y, z}

You then examine the correspondence between the two sets and create the following ordered pairs:

(1, w) (1, x) (1, y) (1, z)

(2, w) (2, x) (2, y) (2, z)

(3, w) (3, x) (3, y) (3, z)

(4, w) (4, x) (4, y) (4, z)

To create these pairs, you begin with the first element from set A and pair it with the first element of set B. You then again draw on the first element of set A and go to the second element of set B. You continue this way until you have paired the first element of set A with all the elements of set B. You then use the second element ...

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