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    I'm currently at uni and have been doing some "maths" style coursework, this is mostly on relations etc...

    Anyway, I've read through alot of my notes but I just can't understand this...




    Any help greatly appreciated, thanks!
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    Actually I've done 1. just don't have a clue for 2.

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    :Do you have/know the definitions of symmetric, reflexive, antisymmetric and transitive?:

    You clearly do from doing 1.

    2.

    If word A and word B have the same first 8 charachters, as do word B and word C then what can you say about word A and word C?

    Will (name1,name1) be in the relation?

    For symmetry/antisymmetry consider the cases where the names have more than 8, less than 8 or one more one less
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    Ah right, I see, yeh I have a simple definition,

    Are they Transitive as A B are the same and B C and A and C?
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    Yep it is transitive!
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    Brilliant! thank you!

    The last part of this section...




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    Can you show that it is an equivalence relation? (reflexive, symmetric, transitive)
    If you follow the hint, then the partition should become apparent
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    Hmmm, this one really has got me out
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    (Original post by Mrhillmichael)
    Hmmm, this one really has got me out
    Reflexivity: for any integer x, is (x+x) divisible by 2?

    Symmetry: If (x+y) is divisible by 2, then is (y+x) also?

    Transitivity: If (x+y) and (y+z) are divisible by 2, then is (x+z) also?


    For Part 2 (the partition) then for what values of x is (0+x) divisible by 2?
    Also for what values of x is (1+x) divisible by 2?

    Have we missed out any integer values of x in the above two classes?
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    Is it reflexive?
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    (x+x) = 2x.

    If x is an integer is this divisible by 2?
 
 
 
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