Notation for a Point being between two Other Points












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Let $x$, $y$ and $z$ be real numbers. Is there any notation that means that $x$ is between $y$ and $z$?



If $y$ is less than or equal to $z$, then the notation $y leq x leq z$ can be used, and there is similar notation when $z$ is less than or equal to $y$. I am asking for a notation that encompasses both of these possibilities.






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    0












    $begingroup$


    Let $x$, $y$ and $z$ be real numbers. Is there any notation that means that $x$ is between $y$ and $z$?



    If $y$ is less than or equal to $z$, then the notation $y leq x leq z$ can be used, and there is similar notation when $z$ is less than or equal to $y$. I am asking for a notation that encompasses both of these possibilities.






    notation







    share|cite|improve this question









    $endgroup$















      0












      0








      0





      $begingroup$


      Let $x$, $y$ and $z$ be real numbers. Is there any notation that means that $x$ is between $y$ and $z$?



      If $y$ is less than or equal to $z$, then the notation $y leq x leq z$ can be used, and there is similar notation when $z$ is less than or equal to $y$. I am asking for a notation that encompasses both of these possibilities.






      notation







      share|cite|improve this question









      $endgroup$




      Let $x$, $y$ and $z$ be real numbers. Is there any notation that means that $x$ is between $y$ and $z$?



      If $y$ is less than or equal to $z$, then the notation $y leq x leq z$ can be used, and there is similar notation when $z$ is less than or equal to $y$. I am asking for a notation that encompasses both of these possibilities.






      notation




      notation






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      asked Jan 9 at 16:17









      LinearGuyLinearGuy

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          2 Answers
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          $begingroup$


          I am asking for a notation that encompasses both of these possibilities.




          If you don't know whether $y le z$ or $z le y$, you could write:
          $$minleft{y,zright} le x le maxleft{y,zright}$$






          share|cite|improve this answer









          $endgroup$





















            0












            $begingroup$

            For real numbers $y,z$, the interval $[y,z]$ is given by ${lambda y + (1-lambda)zmid 0leq lambdaleq 1}$.






            share|cite|improve this answer









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              2 Answers
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              2 Answers
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              $begingroup$


              I am asking for a notation that encompasses both of these possibilities.




              If you don't know whether $y le z$ or $z le y$, you could write:
              $$minleft{y,zright} le x le maxleft{y,zright}$$






              share|cite|improve this answer









              $endgroup$


















                2












                $begingroup$


                I am asking for a notation that encompasses both of these possibilities.




                If you don't know whether $y le z$ or $z le y$, you could write:
                $$minleft{y,zright} le x le maxleft{y,zright}$$






                share|cite|improve this answer









                $endgroup$
















                  2












                  2








                  2





                  $begingroup$


                  I am asking for a notation that encompasses both of these possibilities.




                  If you don't know whether $y le z$ or $z le y$, you could write:
                  $$minleft{y,zright} le x le maxleft{y,zright}$$






                  share|cite|improve this answer









                  $endgroup$




                  I am asking for a notation that encompasses both of these possibilities.




                  If you don't know whether $y le z$ or $z le y$, you could write:
                  $$minleft{y,zright} le x le maxleft{y,zright}$$







                  share|cite|improve this answer












                  share|cite|improve this answer



                  share|cite|improve this answer










                  answered Jan 9 at 16:22









                  StackTDStackTD

                  22.6k2050




                  22.6k2050























                      0












                      $begingroup$

                      For real numbers $y,z$, the interval $[y,z]$ is given by ${lambda y + (1-lambda)zmid 0leq lambdaleq 1}$.






                      share|cite|improve this answer









                      $endgroup$


















                        0












                        $begingroup$

                        For real numbers $y,z$, the interval $[y,z]$ is given by ${lambda y + (1-lambda)zmid 0leq lambdaleq 1}$.






                        share|cite|improve this answer









                        $endgroup$
















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                          0





                          $begingroup$

                          For real numbers $y,z$, the interval $[y,z]$ is given by ${lambda y + (1-lambda)zmid 0leq lambdaleq 1}$.






                          share|cite|improve this answer









                          $endgroup$



                          For real numbers $y,z$, the interval $[y,z]$ is given by ${lambda y + (1-lambda)zmid 0leq lambdaleq 1}$.







                          share|cite|improve this answer












                          share|cite|improve this answer



                          share|cite|improve this answer










                          answered Jan 9 at 16:19









                          WuestenfuxWuestenfux

                          4,2871413




                          4,2871413






























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