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    • Thread Starter

    I have a maths question which I am having a bit of trouble with, so any help would be great.

    Consider relation defined on Z. where x is related to y only when.. x=y(mod10).

    I have been asked to draw a diagram to show how Z is partitioned by this relation.

    But im not sure how to do it.

    Thanks in advance
    • PS Helper

    PS Helper
    I'd probably write a load of rows of 10 consecutive integers with some vertical dots coming off at the top and bottom of it and then say that the columns are related.
    • Thread Starter

    Thanks nuodai, but im still not 100% with this. The next part of the question asks: In which parts partition will you find prime numbers?

    What kind of diagram do you think i would need to draw, would a ferrer diagram be correct?
    • PS Helper

    PS Helper
    Well what digits can a prime end in? What digits can't a prime end in? If you draw the diagram like I said above then, again, each column corresponds to an equivalence class. [Be careful though, since going up one of the columns you'll get like ..., 28, 18, 8, -2, -12, -22, ...]

    I'm not familiar with Ferrer diagrams so I can't really help you there.
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Updated: March 30, 2011
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