find a way to partition N into not two but infinitely many subsets with each subset containing infinitely many elements.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Partitioning a set means to write the set as the union of nonempty, disjoint subsets.
For instance, we can partition the natural numbers as the union of the even and the odd
natural numbers.
ODD
EVEN
O,2,4,6,8y
123,5,7,9
find a way to partition N into not two but infinitely many subsets
with each subset containing infinitely many elements.
Transcribed Image Text:Partitioning a set means to write the set as the union of nonempty, disjoint subsets. For instance, we can partition the natural numbers as the union of the even and the odd natural numbers. ODD EVEN O,2,4,6,8y 123,5,7,9 find a way to partition N into not two but infinitely many subsets with each subset containing infinitely many elements.
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