An example of a partition of the integers is E Z}

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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An example of a partition of the
integers is
O U {na : a € Z}
nEN
O {2x : x E Z}U{2x+1:x E
Z}
O {3x : x E Z}U {3x +1: x €
Z}
O U {2"x : x € Z}
nEN
Transcribed Image Text:An example of a partition of the integers is O U {na : a € Z} nEN O {2x : x E Z}U{2x+1:x E Z} O {3x : x E Z}U {3x +1: x € Z} O U {2"x : x € Z} nEN
Which of the following is an example of
an equivalence relation?
O x ~y in lR if x <y
O x v y in R if x
– y < 4
-
O x ~ y in Z if xy
y in Z if x = y mod 2
Transcribed Image Text:Which of the following is an example of an equivalence relation? O x ~y in lR if x <y O x v y in R if x – y < 4 - O x ~ y in Z if xy y in Z if x = y mod 2
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