Difference between backslash and minus on domain, range












2












$begingroup$


When declaring domain or range, is "$Rsetminus{0}$" any different than "$R-{0}$"?






elementary-set-theory notation







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  • 2




    $begingroup$
    No. $qquadqquad$
    $endgroup$
    – Zachary Selk
    Nov 28 '18 at 21:31










  • $begingroup$
    No. But $mathbb Rsetminus {0}$ is preferred by just about everyone who isn't me. However a FORWARD slash such as $mathbb Z/6mathbb Z$ is an ENTIRELY different things (which is why I don't like $mathbb Rsetminus {0}$. But I am in the minority). Note if you type "$setminus$" you get the backslash so... that tells you it means set minus. In any event $mathbb Rsetminus{0}=mathbb R-{0} = {xin mathbb R| xne 0}$. Same thing.
    $endgroup$
    – fleablood
    Nov 28 '18 at 21:48










  • $begingroup$
    Backslash is common for set minus. For all sets, not just ranges.
    $endgroup$
    – mathreadler
    Nov 28 '18 at 21:59
















2












$begingroup$


When declaring domain or range, is "$Rsetminus{0}$" any different than "$R-{0}$"?






elementary-set-theory notation







share|cite|improve this question











$endgroup$








  • 2




    $begingroup$
    No. $qquadqquad$
    $endgroup$
    – Zachary Selk
    Nov 28 '18 at 21:31










  • $begingroup$
    No. But $mathbb Rsetminus {0}$ is preferred by just about everyone who isn't me. However a FORWARD slash such as $mathbb Z/6mathbb Z$ is an ENTIRELY different things (which is why I don't like $mathbb Rsetminus {0}$. But I am in the minority). Note if you type "$setminus$" you get the backslash so... that tells you it means set minus. In any event $mathbb Rsetminus{0}=mathbb R-{0} = {xin mathbb R| xne 0}$. Same thing.
    $endgroup$
    – fleablood
    Nov 28 '18 at 21:48










  • $begingroup$
    Backslash is common for set minus. For all sets, not just ranges.
    $endgroup$
    – mathreadler
    Nov 28 '18 at 21:59














2












2








2





$begingroup$


When declaring domain or range, is "$Rsetminus{0}$" any different than "$R-{0}$"?






elementary-set-theory notation







share|cite|improve this question











$endgroup$




When declaring domain or range, is "$Rsetminus{0}$" any different than "$R-{0}$"?






elementary-set-theory notation




elementary-set-theory notation






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Nov 28 '18 at 21:41









Asaf Karagila♦

303k32429761




303k32429761










asked Nov 28 '18 at 21:31









Eren KaraEren Kara

183




183








  • 2




    $begingroup$
    No. $qquadqquad$
    $endgroup$
    – Zachary Selk
    Nov 28 '18 at 21:31










  • $begingroup$
    No. But $mathbb Rsetminus {0}$ is preferred by just about everyone who isn't me. However a FORWARD slash such as $mathbb Z/6mathbb Z$ is an ENTIRELY different things (which is why I don't like $mathbb Rsetminus {0}$. But I am in the minority). Note if you type "$setminus$" you get the backslash so... that tells you it means set minus. In any event $mathbb Rsetminus{0}=mathbb R-{0} = {xin mathbb R| xne 0}$. Same thing.
    $endgroup$
    – fleablood
    Nov 28 '18 at 21:48










  • $begingroup$
    Backslash is common for set minus. For all sets, not just ranges.
    $endgroup$
    – mathreadler
    Nov 28 '18 at 21:59














  • 2




    $begingroup$
    No. $qquadqquad$
    $endgroup$
    – Zachary Selk
    Nov 28 '18 at 21:31










  • $begingroup$
    No. But $mathbb Rsetminus {0}$ is preferred by just about everyone who isn't me. However a FORWARD slash such as $mathbb Z/6mathbb Z$ is an ENTIRELY different things (which is why I don't like $mathbb Rsetminus {0}$. But I am in the minority). Note if you type "$setminus$" you get the backslash so... that tells you it means set minus. In any event $mathbb Rsetminus{0}=mathbb R-{0} = {xin mathbb R| xne 0}$. Same thing.
    $endgroup$
    – fleablood
    Nov 28 '18 at 21:48










  • $begingroup$
    Backslash is common for set minus. For all sets, not just ranges.
    $endgroup$
    – mathreadler
    Nov 28 '18 at 21:59








2




2




$begingroup$
No. $qquadqquad$
$endgroup$
– Zachary Selk
Nov 28 '18 at 21:31




$begingroup$
No. $qquadqquad$
$endgroup$
– Zachary Selk
Nov 28 '18 at 21:31












$begingroup$
No. But $mathbb Rsetminus {0}$ is preferred by just about everyone who isn't me. However a FORWARD slash such as $mathbb Z/6mathbb Z$ is an ENTIRELY different things (which is why I don't like $mathbb Rsetminus {0}$. But I am in the minority). Note if you type "$setminus$" you get the backslash so... that tells you it means set minus. In any event $mathbb Rsetminus{0}=mathbb R-{0} = {xin mathbb R| xne 0}$. Same thing.
$endgroup$
– fleablood
Nov 28 '18 at 21:48




$begingroup$
No. But $mathbb Rsetminus {0}$ is preferred by just about everyone who isn't me. However a FORWARD slash such as $mathbb Z/6mathbb Z$ is an ENTIRELY different things (which is why I don't like $mathbb Rsetminus {0}$. But I am in the minority). Note if you type "$setminus$" you get the backslash so... that tells you it means set minus. In any event $mathbb Rsetminus{0}=mathbb R-{0} = {xin mathbb R| xne 0}$. Same thing.
$endgroup$
– fleablood
Nov 28 '18 at 21:48












$begingroup$
Backslash is common for set minus. For all sets, not just ranges.
$endgroup$
– mathreadler
Nov 28 '18 at 21:59




$begingroup$
Backslash is common for set minus. For all sets, not just ranges.
$endgroup$
– mathreadler
Nov 28 '18 at 21:59










2 Answers
2






active

oldest

votes


















7












$begingroup$

In principle, no. This is a matter of preference.



In practice, sometimes yes. $A-B$ sometimes denotes ${a-bmid ain A, bin B}$ when $A$ and $B$ are subset of some set where subtraction is well-defined (e.g. sets of reals).



The rule of thumb is that when in doubt, define your notation explicitly. If you are the reader, ask to be sure.






share|cite|improve this answer









$endgroup$





















    1












    $begingroup$

    The notation "$R setminus {0}$" is usually used when dealing with sets (TeX command: "setminus").



    But also the minus sign is sometimes used and accepted.



    Refer also to:




    • Set Difference






    share|cite|improve this answer









    $endgroup$









    • 1




      $begingroup$
      I prefer that $ddotsmile$. So when we should write (there are?) $Bbb R-{0}$?
      $endgroup$
      – manooooh
      Nov 28 '18 at 21:36






    • 2




      $begingroup$
      @manooooh I prefer $setminus$ :)
      $endgroup$
      – gimusi
      Nov 28 '18 at 21:37











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    2 Answers
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    2 Answers
    2






    active

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    active

    oldest

    votes









    7












    $begingroup$

    In principle, no. This is a matter of preference.



    In practice, sometimes yes. $A-B$ sometimes denotes ${a-bmid ain A, bin B}$ when $A$ and $B$ are subset of some set where subtraction is well-defined (e.g. sets of reals).



    The rule of thumb is that when in doubt, define your notation explicitly. If you are the reader, ask to be sure.






    share|cite|improve this answer









    $endgroup$


















      7












      $begingroup$

      In principle, no. This is a matter of preference.



      In practice, sometimes yes. $A-B$ sometimes denotes ${a-bmid ain A, bin B}$ when $A$ and $B$ are subset of some set where subtraction is well-defined (e.g. sets of reals).



      The rule of thumb is that when in doubt, define your notation explicitly. If you are the reader, ask to be sure.






      share|cite|improve this answer









      $endgroup$
















        7












        7








        7





        $begingroup$

        In principle, no. This is a matter of preference.



        In practice, sometimes yes. $A-B$ sometimes denotes ${a-bmid ain A, bin B}$ when $A$ and $B$ are subset of some set where subtraction is well-defined (e.g. sets of reals).



        The rule of thumb is that when in doubt, define your notation explicitly. If you are the reader, ask to be sure.






        share|cite|improve this answer









        $endgroup$



        In principle, no. This is a matter of preference.



        In practice, sometimes yes. $A-B$ sometimes denotes ${a-bmid ain A, bin B}$ when $A$ and $B$ are subset of some set where subtraction is well-defined (e.g. sets of reals).



        The rule of thumb is that when in doubt, define your notation explicitly. If you are the reader, ask to be sure.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Nov 28 '18 at 21:42









        Asaf Karagila♦Asaf Karagila

        303k32429761




        303k32429761























            1












            $begingroup$

            The notation "$R setminus {0}$" is usually used when dealing with sets (TeX command: "setminus").



            But also the minus sign is sometimes used and accepted.



            Refer also to:




            • Set Difference






            share|cite|improve this answer









            $endgroup$









            • 1




              $begingroup$
              I prefer that $ddotsmile$. So when we should write (there are?) $Bbb R-{0}$?
              $endgroup$
              – manooooh
              Nov 28 '18 at 21:36






            • 2




              $begingroup$
              @manooooh I prefer $setminus$ :)
              $endgroup$
              – gimusi
              Nov 28 '18 at 21:37
















            1












            $begingroup$

            The notation "$R setminus {0}$" is usually used when dealing with sets (TeX command: "setminus").



            But also the minus sign is sometimes used and accepted.



            Refer also to:




            • Set Difference






            share|cite|improve this answer









            $endgroup$









            • 1




              $begingroup$
              I prefer that $ddotsmile$. So when we should write (there are?) $Bbb R-{0}$?
              $endgroup$
              – manooooh
              Nov 28 '18 at 21:36






            • 2




              $begingroup$
              @manooooh I prefer $setminus$ :)
              $endgroup$
              – gimusi
              Nov 28 '18 at 21:37














            1












            1








            1





            $begingroup$

            The notation "$R setminus {0}$" is usually used when dealing with sets (TeX command: "setminus").



            But also the minus sign is sometimes used and accepted.



            Refer also to:




            • Set Difference






            share|cite|improve this answer









            $endgroup$



            The notation "$R setminus {0}$" is usually used when dealing with sets (TeX command: "setminus").



            But also the minus sign is sometimes used and accepted.



            Refer also to:




            • Set Difference







            share|cite|improve this answer












            share|cite|improve this answer



            share|cite|improve this answer










            answered Nov 28 '18 at 21:32









            gimusigimusi

            92.8k84494




            92.8k84494








            • 1




              $begingroup$
              I prefer that $ddotsmile$. So when we should write (there are?) $Bbb R-{0}$?
              $endgroup$
              – manooooh
              Nov 28 '18 at 21:36






            • 2




              $begingroup$
              @manooooh I prefer $setminus$ :)
              $endgroup$
              – gimusi
              Nov 28 '18 at 21:37














            • 1




              $begingroup$
              I prefer that $ddotsmile$. So when we should write (there are?) $Bbb R-{0}$?
              $endgroup$
              – manooooh
              Nov 28 '18 at 21:36






            • 2




              $begingroup$
              @manooooh I prefer $setminus$ :)
              $endgroup$
              – gimusi
              Nov 28 '18 at 21:37








            1




            1




            $begingroup$
            I prefer that $ddotsmile$. So when we should write (there are?) $Bbb R-{0}$?
            $endgroup$
            – manooooh
            Nov 28 '18 at 21:36




            $begingroup$
            I prefer that $ddotsmile$. So when we should write (there are?) $Bbb R-{0}$?
            $endgroup$
            – manooooh
            Nov 28 '18 at 21:36




            2




            2




            $begingroup$
            @manooooh I prefer $setminus$ :)
            $endgroup$
            – gimusi
            Nov 28 '18 at 21:37




            $begingroup$
            @manooooh I prefer $setminus$ :)
            $endgroup$
            – gimusi
            Nov 28 '18 at 21:37


















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