Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 04 Feb 2018 My Price 4.00

equivalence relation

In Example 2.15, if , xy E ∈ does this mean that x and y are the same age? Not only does an equivalence relation on a set S determine a partition of S, but the partition can be used to determine the relation. We formalize this in the following theorem.

Example 2.15

Let S be the set of all students in a particular university. For x and y in S, define xRy iff x and y were born in the same calendar year. Then R is an equivalence relation, and a typical equivalence class is the set of all students who were born in a particular year. For example, if student x was born in 1992, then Ex consists of all the students who were born in 1992. This relation partitions S into disjoint subsets, where students born in the same year are grouped together.

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Maurice Tutor
(5)
Status NEW Posted 04 Feb 2018 07:02 PM My Price 4.00

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