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Thread: arrow diagram part 3 of the question

  1. #1
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    arrow diagram part 3 of the question

    so I must draw an arrow diagram
    of the S = {0,1,2,3,4}
    R = {0,3}{1,2}{2,1}{3,0}

    arrow diagram part 3 of the question-arrow-diagram_1.jpg

    Do the 4's need to be there ? Thanks
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  2. #2
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    Re: arrow diagram part 3 of the question

    Quote Originally Posted by bee77 View Post
    so I must draw an arrow diagram
    of the S = {0,1,2,3,4}
    R = {0,3}{1,2}{2,1}{3,0}

    Click image for larger version. 

Name:	Arrow diagram_1.jpg 
Views:	10 
Size:	43.2 KB 
ID:	38044

    Do the 4's need to be there ? Thanks
    It depends on what you are trying to have your arrow diagram represent. If you want to show that the relation R on S does not include (4,s) or (s,4) for any $s\in S$, then, it does need 4. If you are trying for a minimalistic representation where you only want to show the existing pairings, then the 4 could be omitted. The latter could, potentially, be misinterpreted as being an arrow diagram for a relation $R'$ on the set $S' = \{0,1,2,3\}$, so to make sure that your relation is properly interpreted, it may be better to keep the 4, even though it is not "used" by $R$.
    Thanks from bee77
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  3. #3
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    Re: arrow diagram part 3 of the question

    Thanks Slip Eternal
    I'll take in what you said
    cheers
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