What is the difference between [ and ) while specifying a set of numbers?












0












$begingroup$


I have a text on Algorithms which has these 2 lines in it -




random double value in [a,b)



random int value in [0..N)




What do the notations [ and ) mean?



What's the difference between the 2 lines?










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$endgroup$








  • 1




    $begingroup$
    See: here
    $endgroup$
    – StackTD
    Jan 24 at 10:20










  • $begingroup$
    $[a,b]$ includes both ends in the interval, $(a,b)$ includes neither, $[a,b)$ includes $a$ but not $b$, while $(a,b]$ includes $b$ but not $a$. Some people instead write $[a,b]$ and $]a,b[$ and $[a,b[$ and $]a,b]$ respectively
    $endgroup$
    – Henry
    Jan 24 at 10:28












  • $begingroup$
    The key difference between your two lines are the words double (double-precision floating-point type, so not necessarily an integer) and int (integer type).
    $endgroup$
    – Henry
    Jan 24 at 10:30












  • $begingroup$
    I meant, is there any significance of the '..' between the ends of the intervals? (in the 2nd line)
    $endgroup$
    – Karthik Bhat
    Jan 24 at 10:44












  • $begingroup$
    As you might guess, [0..N) probably means the same as ${0,1,dots,N-1}$.
    $endgroup$
    – Somos
    Jan 24 at 11:16
















0












$begingroup$


I have a text on Algorithms which has these 2 lines in it -




random double value in [a,b)



random int value in [0..N)




What do the notations [ and ) mean?



What's the difference between the 2 lines?










share|cite|improve this question











$endgroup$








  • 1




    $begingroup$
    See: here
    $endgroup$
    – StackTD
    Jan 24 at 10:20










  • $begingroup$
    $[a,b]$ includes both ends in the interval, $(a,b)$ includes neither, $[a,b)$ includes $a$ but not $b$, while $(a,b]$ includes $b$ but not $a$. Some people instead write $[a,b]$ and $]a,b[$ and $[a,b[$ and $]a,b]$ respectively
    $endgroup$
    – Henry
    Jan 24 at 10:28












  • $begingroup$
    The key difference between your two lines are the words double (double-precision floating-point type, so not necessarily an integer) and int (integer type).
    $endgroup$
    – Henry
    Jan 24 at 10:30












  • $begingroup$
    I meant, is there any significance of the '..' between the ends of the intervals? (in the 2nd line)
    $endgroup$
    – Karthik Bhat
    Jan 24 at 10:44












  • $begingroup$
    As you might guess, [0..N) probably means the same as ${0,1,dots,N-1}$.
    $endgroup$
    – Somos
    Jan 24 at 11:16














0












0








0





$begingroup$


I have a text on Algorithms which has these 2 lines in it -




random double value in [a,b)



random int value in [0..N)




What do the notations [ and ) mean?



What's the difference between the 2 lines?










share|cite|improve this question











$endgroup$




I have a text on Algorithms which has these 2 lines in it -




random double value in [a,b)



random int value in [0..N)




What do the notations [ and ) mean?



What's the difference between the 2 lines?







linear-algebra arithmetic






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Jan 24 at 12:29









Andrés E. Caicedo

65.7k8160250




65.7k8160250










asked Jan 24 at 10:18









Karthik BhatKarthik Bhat

133




133








  • 1




    $begingroup$
    See: here
    $endgroup$
    – StackTD
    Jan 24 at 10:20










  • $begingroup$
    $[a,b]$ includes both ends in the interval, $(a,b)$ includes neither, $[a,b)$ includes $a$ but not $b$, while $(a,b]$ includes $b$ but not $a$. Some people instead write $[a,b]$ and $]a,b[$ and $[a,b[$ and $]a,b]$ respectively
    $endgroup$
    – Henry
    Jan 24 at 10:28












  • $begingroup$
    The key difference between your two lines are the words double (double-precision floating-point type, so not necessarily an integer) and int (integer type).
    $endgroup$
    – Henry
    Jan 24 at 10:30












  • $begingroup$
    I meant, is there any significance of the '..' between the ends of the intervals? (in the 2nd line)
    $endgroup$
    – Karthik Bhat
    Jan 24 at 10:44












  • $begingroup$
    As you might guess, [0..N) probably means the same as ${0,1,dots,N-1}$.
    $endgroup$
    – Somos
    Jan 24 at 11:16














  • 1




    $begingroup$
    See: here
    $endgroup$
    – StackTD
    Jan 24 at 10:20










  • $begingroup$
    $[a,b]$ includes both ends in the interval, $(a,b)$ includes neither, $[a,b)$ includes $a$ but not $b$, while $(a,b]$ includes $b$ but not $a$. Some people instead write $[a,b]$ and $]a,b[$ and $[a,b[$ and $]a,b]$ respectively
    $endgroup$
    – Henry
    Jan 24 at 10:28












  • $begingroup$
    The key difference between your two lines are the words double (double-precision floating-point type, so not necessarily an integer) and int (integer type).
    $endgroup$
    – Henry
    Jan 24 at 10:30












  • $begingroup$
    I meant, is there any significance of the '..' between the ends of the intervals? (in the 2nd line)
    $endgroup$
    – Karthik Bhat
    Jan 24 at 10:44












  • $begingroup$
    As you might guess, [0..N) probably means the same as ${0,1,dots,N-1}$.
    $endgroup$
    – Somos
    Jan 24 at 11:16








1




1




$begingroup$
See: here
$endgroup$
– StackTD
Jan 24 at 10:20




$begingroup$
See: here
$endgroup$
– StackTD
Jan 24 at 10:20












$begingroup$
$[a,b]$ includes both ends in the interval, $(a,b)$ includes neither, $[a,b)$ includes $a$ but not $b$, while $(a,b]$ includes $b$ but not $a$. Some people instead write $[a,b]$ and $]a,b[$ and $[a,b[$ and $]a,b]$ respectively
$endgroup$
– Henry
Jan 24 at 10:28






$begingroup$
$[a,b]$ includes both ends in the interval, $(a,b)$ includes neither, $[a,b)$ includes $a$ but not $b$, while $(a,b]$ includes $b$ but not $a$. Some people instead write $[a,b]$ and $]a,b[$ and $[a,b[$ and $]a,b]$ respectively
$endgroup$
– Henry
Jan 24 at 10:28














$begingroup$
The key difference between your two lines are the words double (double-precision floating-point type, so not necessarily an integer) and int (integer type).
$endgroup$
– Henry
Jan 24 at 10:30






$begingroup$
The key difference between your two lines are the words double (double-precision floating-point type, so not necessarily an integer) and int (integer type).
$endgroup$
– Henry
Jan 24 at 10:30














$begingroup$
I meant, is there any significance of the '..' between the ends of the intervals? (in the 2nd line)
$endgroup$
– Karthik Bhat
Jan 24 at 10:44






$begingroup$
I meant, is there any significance of the '..' between the ends of the intervals? (in the 2nd line)
$endgroup$
– Karthik Bhat
Jan 24 at 10:44














$begingroup$
As you might guess, [0..N) probably means the same as ${0,1,dots,N-1}$.
$endgroup$
– Somos
Jan 24 at 11:16




$begingroup$
As you might guess, [0..N) probably means the same as ${0,1,dots,N-1}$.
$endgroup$
– Somos
Jan 24 at 11:16










1 Answer
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$begingroup$

$(a, b)$ means all $x$ such that $a<x<b$.



$(a,b]$ means all $x$ such that $a<xle b$.



$[a, b)$ ... such that $ale x <b$.



$[a, b]$ ... $ale x le b$






share|cite|improve this answer











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    1 Answer
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    1 Answer
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    active

    oldest

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    active

    oldest

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    2












    $begingroup$

    $(a, b)$ means all $x$ such that $a<x<b$.



    $(a,b]$ means all $x$ such that $a<xle b$.



    $[a, b)$ ... such that $ale x <b$.



    $[a, b]$ ... $ale x le b$






    share|cite|improve this answer











    $endgroup$


















      2












      $begingroup$

      $(a, b)$ means all $x$ such that $a<x<b$.



      $(a,b]$ means all $x$ such that $a<xle b$.



      $[a, b)$ ... such that $ale x <b$.



      $[a, b]$ ... $ale x le b$






      share|cite|improve this answer











      $endgroup$
















        2












        2








        2





        $begingroup$

        $(a, b)$ means all $x$ such that $a<x<b$.



        $(a,b]$ means all $x$ such that $a<xle b$.



        $[a, b)$ ... such that $ale x <b$.



        $[a, b]$ ... $ale x le b$






        share|cite|improve this answer











        $endgroup$



        $(a, b)$ means all $x$ such that $a<x<b$.



        $(a,b]$ means all $x$ such that $a<xle b$.



        $[a, b)$ ... such that $ale x <b$.



        $[a, b]$ ... $ale x le b$







        share|cite|improve this answer














        share|cite|improve this answer



        share|cite|improve this answer








        edited Jan 24 at 14:04

























        answered Jan 24 at 10:28









        Bernard HurleyBernard Hurley

        1787




        1787






























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