What is the proper name for this set of zeroes and ones












0












$begingroup$


Consider a set $X$ which contains strings of $n$ bits. Each string starts with zero and it is non-zero string. For example n=3



$$
001\
010\
011
$$

and for $n=4$



$$
0 0 0 1\
0 0 1 0\
0 1 0 0\
0 0 1 1\
0 1 0 1\
0 1 1 0\
0 1 1 1
$$



Is there a proper name for this? especially in boolean functions. Also, is there a general name when the domain is not binary i.e., ${0,1,..z}$ ?










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$endgroup$












  • $begingroup$
    Is there a special reason why you remove 000 and 111 extremities ? Else it would just be the complete enumeration of binary dvp.
    $endgroup$
    – zwim
    Jan 26 at 9:31


















0












$begingroup$


Consider a set $X$ which contains strings of $n$ bits. Each string starts with zero and it is non-zero string. For example n=3



$$
001\
010\
011
$$

and for $n=4$



$$
0 0 0 1\
0 0 1 0\
0 1 0 0\
0 0 1 1\
0 1 0 1\
0 1 1 0\
0 1 1 1
$$



Is there a proper name for this? especially in boolean functions. Also, is there a general name when the domain is not binary i.e., ${0,1,..z}$ ?










share|cite|improve this question









$endgroup$












  • $begingroup$
    Is there a special reason why you remove 000 and 111 extremities ? Else it would just be the complete enumeration of binary dvp.
    $endgroup$
    – zwim
    Jan 26 at 9:31
















0












0








0





$begingroup$


Consider a set $X$ which contains strings of $n$ bits. Each string starts with zero and it is non-zero string. For example n=3



$$
001\
010\
011
$$

and for $n=4$



$$
0 0 0 1\
0 0 1 0\
0 1 0 0\
0 0 1 1\
0 1 0 1\
0 1 1 0\
0 1 1 1
$$



Is there a proper name for this? especially in boolean functions. Also, is there a general name when the domain is not binary i.e., ${0,1,..z}$ ?










share|cite|improve this question









$endgroup$




Consider a set $X$ which contains strings of $n$ bits. Each string starts with zero and it is non-zero string. For example n=3



$$
001\
010\
011
$$

and for $n=4$



$$
0 0 0 1\
0 0 1 0\
0 1 0 0\
0 0 1 1\
0 1 0 1\
0 1 1 0\
0 1 1 1
$$



Is there a proper name for this? especially in boolean functions. Also, is there a general name when the domain is not binary i.e., ${0,1,..z}$ ?







boolean-algebra






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share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Jan 26 at 9:18









seteropereseteropere

327211




327211












  • $begingroup$
    Is there a special reason why you remove 000 and 111 extremities ? Else it would just be the complete enumeration of binary dvp.
    $endgroup$
    – zwim
    Jan 26 at 9:31




















  • $begingroup$
    Is there a special reason why you remove 000 and 111 extremities ? Else it would just be the complete enumeration of binary dvp.
    $endgroup$
    – zwim
    Jan 26 at 9:31


















$begingroup$
Is there a special reason why you remove 000 and 111 extremities ? Else it would just be the complete enumeration of binary dvp.
$endgroup$
– zwim
Jan 26 at 9:31






$begingroup$
Is there a special reason why you remove 000 and 111 extremities ? Else it would just be the complete enumeration of binary dvp.
$endgroup$
– zwim
Jan 26 at 9:31












0






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