What does “$:[$” mean in $q_{(i,d,j)} ≜ P(S_{[t+1:t+d]}=j;|S_{[t+1:[}=j)$?
$begingroup$
I am reading through some math on a paper, and I am trying to properly understand some of the proofs / equations. In particular,
$$q_{(i,d,j)} ≜ P(S_{[t+1:t+d]}=j|S_{[t+1:[}=j)$$
is fairly confusing to me.
I know that the function q is being defined as that following block, and so on, but I am getting lost at what :[ means. Does anyone know where to point me? Google comes up with nothing on this notation, though I am aware that is used to typically denote arrays / sets.
Paper in question is here (formula on page 5)
notation
edited Jan 26 at 0:31
Blue
49.1k870156
asked Jan 25 at 23:12
squirvelsquirvel
61
$endgroup$
add a comment |
$begingroup$
I am reading through some math on a paper, and I am trying to properly understand some of the proofs / equations. In particular,
$$q_{(i,d,j)} ≜ P(S_{[t+1:t+d]}=j|S_{[t+1:[}=j)$$
is fairly confusing to me.
I know that the function q is being defined as that following block, and so on, but I am getting lost at what :[ means. Does anyone know where to point me? Google comes up with nothing on this notation, though I am aware that is used to typically denote arrays / sets.
Paper in question is here (formula on page 5)
notation
edited Jan 26 at 0:31
Blue
49.1k870156
asked Jan 25 at 23:12
squirvelsquirvel
61
$endgroup$
$begingroup$
Possibly related might be notation borrowed from computer programming... given an array,myarray = [a,b,c,d,e,f,g]the notationmyarray[2:4]would return the subarray which starts at and includes the second entry and ends at but doesn't include the fourth entry, in this casemyarray[2:4]returns[c,d](arrays start counting from 0). If a colon appears without anything to the left or right of it, it is unbounded in that direction, for examplemyarray[3:]returns[d,e,f,g]. At a glance it appears as though a similar meaning might be intended here.
$endgroup$
– JMoravitz
Jan 26 at 0:28
add a comment |
$begingroup$
I am reading through some math on a paper, and I am trying to properly understand some of the proofs / equations. In particular,
$$q_{(i,d,j)} ≜ P(S_{[t+1:t+d]}=j|S_{[t+1:[}=j)$$
is fairly confusing to me.
I know that the function q is being defined as that following block, and so on, but I am getting lost at what :[ means. Does anyone know where to point me? Google comes up with nothing on this notation, though I am aware that is used to typically denote arrays / sets.
Paper in question is here (formula on page 5)
notation
edited Jan 26 at 0:31
Blue
49.1k870156
asked Jan 25 at 23:12
squirvelsquirvel
61
$endgroup$
I am reading through some math on a paper, and I am trying to properly understand some of the proofs / equations. In particular,
$$q_{(i,d,j)} ≜ P(S_{[t+1:t+d]}=j|S_{[t+1:[}=j)$$
is fairly confusing to me.
I know that the function q is being defined as that following block, and so on, but I am getting lost at what :[ means. Does anyone know where to point me? Google comes up with nothing on this notation, though I am aware that is used to typically denote arrays / sets.
Paper in question is here (formula on page 5)
notation
notation
edited Jan 26 at 0:31
Blue
49.1k870156
asked Jan 25 at 23:12
squirvelsquirvel
61
edited Jan 26 at 0:31
Blue
49.1k870156
asked Jan 25 at 23:12
squirvelsquirvel
61
edited Jan 26 at 0:31
Blue
49.1k870156
edited Jan 26 at 0:31
Blue
49.1k870156
edited Jan 26 at 0:31
Blue
49.1k870156
49.1k870156
asked Jan 25 at 23:12
squirvelsquirvel
61
asked Jan 25 at 23:12
squirvelsquirvel
61
asked Jan 25 at 23:12
squirvelsquirvel
61
61
$begingroup$
Possibly related might be notation borrowed from computer programming... given an array,myarray = [a,b,c,d,e,f,g]the notationmyarray[2:4]would return the subarray which starts at and includes the second entry and ends at but doesn't include the fourth entry, in this casemyarray[2:4]returns[c,d](arrays start counting from 0). If a colon appears without anything to the left or right of it, it is unbounded in that direction, for examplemyarray[3:]returns[d,e,f,g]. At a glance it appears as though a similar meaning might be intended here.
$endgroup$
– JMoravitz
Jan 26 at 0:28
add a comment |
$begingroup$
Possibly related might be notation borrowed from computer programming... given an array,myarray = [a,b,c,d,e,f,g]the notationmyarray[2:4]would return the subarray which starts at and includes the second entry and ends at but doesn't include the fourth entry, in this casemyarray[2:4]returns[c,d](arrays start counting from 0). If a colon appears without anything to the left or right of it, it is unbounded in that direction, for examplemyarray[3:]returns[d,e,f,g]. At a glance it appears as though a similar meaning might be intended here.
$endgroup$
– JMoravitz
Jan 26 at 0:28
$begingroup$
Possibly related might be notation borrowed from computer programming... given an array,
myarray = [a,b,c,d,e,f,g] the notation myarray[2:4] would return the subarray which starts at and includes the second entry and ends at but doesn't include the fourth entry, in this case myarray[2:4] returns [c,d] (arrays start counting from 0). If a colon appears without anything to the left or right of it, it is unbounded in that direction, for example myarray[3:] returns [d,e,f,g]. At a glance it appears as though a similar meaning might be intended here.$endgroup$
– JMoravitz
Jan 26 at 0:28
$begingroup$
Possibly related might be notation borrowed from computer programming... given an array,
myarray = [a,b,c,d,e,f,g] the notation myarray[2:4] would return the subarray which starts at and includes the second entry and ends at but doesn't include the fourth entry, in this case myarray[2:4] returns [c,d] (arrays start counting from 0). If a colon appears without anything to the left or right of it, it is unbounded in that direction, for example myarray[3:] returns [d,e,f,g]. At a glance it appears as though a similar meaning might be intended here.$endgroup$
– JMoravitz
Jan 26 at 0:28
add a comment |
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$begingroup$
Possibly related might be notation borrowed from computer programming... given an array,
myarray = [a,b,c,d,e,f,g]the notationmyarray[2:4]would return the subarray which starts at and includes the second entry and ends at but doesn't include the fourth entry, in this casemyarray[2:4]returns[c,d](arrays start counting from 0). If a colon appears without anything to the left or right of it, it is unbounded in that direction, for examplemyarray[3:]returns[d,e,f,g]. At a glance it appears as though a similar meaning might be intended here.$endgroup$
– JMoravitz
Jan 26 at 0:28