
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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![H 6. Prove that the distinct equivalence classes of the relation of
congruence modulo n are the sets [0], [1], [2], ...,
where for each a = 0, 1, 2,..., n - 1,
[a] = {m e Z | m = a (mod n)}.
1](https://content.bartleby.com/qna-images/question/38e6203f-f751-4558-ba33-f371cf952d2b/97a21b6f-e3c4-4656-ae56-bdc9ce65cd2f/s83sazf_thumbnail.jpeg)
Transcribed Image Text:H 6. Prove that the distinct equivalence classes of the relation of
congruence modulo n are the sets [0], [1], [2], ...,
where for each a = 0, 1, 2,..., n - 1,
[a] = {m e Z | m = a (mod n)}.
1
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