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Describe the 1-1correspondence set up by the list. What does a natural # n=

Mathematics
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 Describe the 1-1correspondence set up by the list. What does a natural number  correspond to in the listed set?1, -1, 1/2, -1/2, 2, -2, 1/3, -1/3, 2/3, -2/3, 3/2, -3/2, 3, -3, 1/4, -1/4, 3/4, -3/4, 4/3, -4/3,  4, -4, 1/5, -1/5, 2/5,-2/5, 5/2,

 

Dec 3rd, 2014

According to Cantor's Theorem, there is a correspondence 1-1 between integers and rational numbers, so card(N) = card (Q)

correspondence:

1        1

2       -1

3        1/2

4      -1/2

5        2

6       -2

7       1/3

8      -1/3

9       2/3

10     -2/3

11     3/2

12     -3/2

13      3

14     -3

.............

Dec 6th, 2014

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