Notation for “such that” on a set-builder notation
0
$begingroup$
This may be a really simple question to answer, but I need to know, with references to prove my affirmation, that the actual notation for "such that" on a set builder notation is the colon or vertical line, but not the oblique line. Can anybody help me with some reference for this notation?
Thank you very very much.
elementary-set-theory reference-request notation
edited Dec 14 '18 at 4:00
Andrés E. Caicedo
65.4k8158248
asked Dec 14 '18 at 3:34
IreneIrene
688612
$endgroup$
|
show 1 more comment
0
$begingroup$
This may be a really simple question to answer, but I need to know, with references to prove my affirmation, that the actual notation for "such that" on a set builder notation is the colon or vertical line, but not the oblique line. Can anybody help me with some reference for this notation?
Thank you very very much.
elementary-set-theory reference-request notation
edited Dec 14 '18 at 4:00
Andrés E. Caicedo
65.4k8158248
asked Dec 14 '18 at 3:34
IreneIrene
688612
$endgroup$
1
$begingroup$
You want references for that? Set builder notation is $textbf{notation}$: i.e., if you want to use a different symbol, go for it.
$endgroup$
– Don Thousand
Dec 14 '18 at 3:42
2
$begingroup$
There are many cases where people use nonstandard notation. As long as it is established before hand that the people are using the same notation it is okay. Rather then "actual notation" it might be better to say "standard notation" or "most commonly used notation"
$endgroup$
– Q the Platypus
Dec 14 '18 at 3:44
$begingroup$
Thank you for your comments. I was serching for references that establishes the vertical line or colon as standard notation, and that gives some reason for not using "/" instead of the other ones. This notation is going to be use on a very elementary material for school students.
$endgroup$
– Irene
Dec 14 '18 at 11:47
1
$begingroup$
You could make up reasons why $/$ is a bad choice, but you could just as well make up such reasons for $:$ and $|$. The real reason is just that it's the notation that everyone else uses. In any case, it seems rather bizarre that you need a reference to "prove" this, especially if this is just for students.
$endgroup$
– Eric Wofsey
Dec 15 '18 at 22:14
$begingroup$
It never occurred to me that the ":" in the weirdly-named "set-builder" notation was the mathematical notation for "such that". I suppose, then, that "{" is the notation for "the set of all", but what does "}" stand for?
$endgroup$
– bof
Dec 15 '18 at 23:56
|
show 1 more comment
0
0
0
$begingroup$
This may be a really simple question to answer, but I need to know, with references to prove my affirmation, that the actual notation for "such that" on a set builder notation is the colon or vertical line, but not the oblique line. Can anybody help me with some reference for this notation?
Thank you very very much.
elementary-set-theory reference-request notation
edited Dec 14 '18 at 4:00
Andrés E. Caicedo
65.4k8158248
asked Dec 14 '18 at 3:34
IreneIrene
688612
$endgroup$
This may be a really simple question to answer, but I need to know, with references to prove my affirmation, that the actual notation for "such that" on a set builder notation is the colon or vertical line, but not the oblique line. Can anybody help me with some reference for this notation?
Thank you very very much.
elementary-set-theory reference-request notation
elementary-set-theory reference-request notation
edited Dec 14 '18 at 4:00
Andrés E. Caicedo
65.4k8158248
asked Dec 14 '18 at 3:34
IreneIrene
688612
edited Dec 14 '18 at 4:00
Andrés E. Caicedo
65.4k8158248
asked Dec 14 '18 at 3:34
IreneIrene
688612
edited Dec 14 '18 at 4:00
Andrés E. Caicedo
65.4k8158248
edited Dec 14 '18 at 4:00
Andrés E. Caicedo
65.4k8158248
edited Dec 14 '18 at 4:00
Andrés E. Caicedo
65.4k8158248
65.4k8158248
asked Dec 14 '18 at 3:34
IreneIrene
688612
asked Dec 14 '18 at 3:34
IreneIrene
688612
asked Dec 14 '18 at 3:34
IreneIrene
688612
688612
1
$begingroup$
You want references for that? Set builder notation is $textbf{notation}$: i.e., if you want to use a different symbol, go for it.
$endgroup$
– Don Thousand
Dec 14 '18 at 3:42
2
$begingroup$
There are many cases where people use nonstandard notation. As long as it is established before hand that the people are using the same notation it is okay. Rather then "actual notation" it might be better to say "standard notation" or "most commonly used notation"
$endgroup$
– Q the Platypus
Dec 14 '18 at 3:44
$begingroup$
Thank you for your comments. I was serching for references that establishes the vertical line or colon as standard notation, and that gives some reason for not using "/" instead of the other ones. This notation is going to be use on a very elementary material for school students.
$endgroup$
– Irene
Dec 14 '18 at 11:47
1
$begingroup$
You could make up reasons why $/$ is a bad choice, but you could just as well make up such reasons for $:$ and $|$. The real reason is just that it's the notation that everyone else uses. In any case, it seems rather bizarre that you need a reference to "prove" this, especially if this is just for students.
$endgroup$
– Eric Wofsey
Dec 15 '18 at 22:14
$begingroup$
It never occurred to me that the ":" in the weirdly-named "set-builder" notation was the mathematical notation for "such that". I suppose, then, that "{" is the notation for "the set of all", but what does "}" stand for?
$endgroup$
– bof
Dec 15 '18 at 23:56
|
show 1 more comment
1
$begingroup$
You want references for that? Set builder notation is $textbf{notation}$: i.e., if you want to use a different symbol, go for it.
$endgroup$
– Don Thousand
Dec 14 '18 at 3:42
2
$begingroup$
There are many cases where people use nonstandard notation. As long as it is established before hand that the people are using the same notation it is okay. Rather then "actual notation" it might be better to say "standard notation" or "most commonly used notation"
$endgroup$
– Q the Platypus
Dec 14 '18 at 3:44
$begingroup$
Thank you for your comments. I was serching for references that establishes the vertical line or colon as standard notation, and that gives some reason for not using "/" instead of the other ones. This notation is going to be use on a very elementary material for school students.
$endgroup$
– Irene
Dec 14 '18 at 11:47
1
$begingroup$
You could make up reasons why $/$ is a bad choice, but you could just as well make up such reasons for $:$ and $|$. The real reason is just that it's the notation that everyone else uses. In any case, it seems rather bizarre that you need a reference to "prove" this, especially if this is just for students.
$endgroup$
– Eric Wofsey
Dec 15 '18 at 22:14
$begingroup$
It never occurred to me that the ":" in the weirdly-named "set-builder" notation was the mathematical notation for "such that". I suppose, then, that "{" is the notation for "the set of all", but what does "}" stand for?
$endgroup$
– bof
Dec 15 '18 at 23:56
1
1
$begingroup$
You want references for that? Set builder notation is $textbf{notation}$: i.e., if you want to use a different symbol, go for it.
$endgroup$
– Don Thousand
Dec 14 '18 at 3:42
$begingroup$
You want references for that? Set builder notation is $textbf{notation}$: i.e., if you want to use a different symbol, go for it.
$endgroup$
– Don Thousand
Dec 14 '18 at 3:42
2
2
$begingroup$
There are many cases where people use nonstandard notation. As long as it is established before hand that the people are using the same notation it is okay. Rather then "actual notation" it might be better to say "standard notation" or "most commonly used notation"
$endgroup$
– Q the Platypus
Dec 14 '18 at 3:44
$begingroup$
There are many cases where people use nonstandard notation. As long as it is established before hand that the people are using the same notation it is okay. Rather then "actual notation" it might be better to say "standard notation" or "most commonly used notation"
$endgroup$
– Q the Platypus
Dec 14 '18 at 3:44
$begingroup$
Thank you for your comments. I was serching for references that establishes the vertical line or colon as standard notation, and that gives some reason for not using "/" instead of the other ones. This notation is going to be use on a very elementary material for school students.
$endgroup$
– Irene
Dec 14 '18 at 11:47
$begingroup$
Thank you for your comments. I was serching for references that establishes the vertical line or colon as standard notation, and that gives some reason for not using "/" instead of the other ones. This notation is going to be use on a very elementary material for school students.
$endgroup$
– Irene
Dec 14 '18 at 11:47
1
1
$begingroup$
You could make up reasons why $/$ is a bad choice, but you could just as well make up such reasons for $:$ and $|$. The real reason is just that it's the notation that everyone else uses. In any case, it seems rather bizarre that you need a reference to "prove" this, especially if this is just for students.
$endgroup$
– Eric Wofsey
Dec 15 '18 at 22:14
$begingroup$
You could make up reasons why $/$ is a bad choice, but you could just as well make up such reasons for $:$ and $|$. The real reason is just that it's the notation that everyone else uses. In any case, it seems rather bizarre that you need a reference to "prove" this, especially if this is just for students.
$endgroup$
– Eric Wofsey
Dec 15 '18 at 22:14
$begingroup$
It never occurred to me that the ":" in the weirdly-named "set-builder" notation was the mathematical notation for "such that". I suppose, then, that "{" is the notation for "the set of all", but what does "}" stand for?
$endgroup$
– bof
Dec 15 '18 at 23:56
$begingroup$
It never occurred to me that the ":" in the weirdly-named "set-builder" notation was the mathematical notation for "such that". I suppose, then, that "{" is the notation for "the set of all", but what does "}" stand for?
$endgroup$
– bof
Dec 15 '18 at 23:56
|
show 1 more comment
1 Answer
1
active
oldest
votes
1
$begingroup$
Both $vert$ and $:$ are used.
$vert$ perhaps, being the most historical.
For clarity of notation, $:$ is preferred.
For example imagine using $vert$ in the definition of ${ x : |x| < 5 }$.
Though I don't know the source of the recent amateurish use of /, it is to be avoided since it is not accepted, causes confusion and lacks notational clarity. For example, ${ x/y / 1/xy < 10 }$.
answered Dec 14 '18 at 8:52
William ElliotWilliam Elliot
8,0702720
$endgroup$
$begingroup$
Thank you very much, I know it is to be avoided for that reasons, but I was looking for some reference, if there was some. I found this link from Springer: link.springer.com/content/pdf/bbm%3A978-0-85729-829-4%2F1.pdf , do you think it can work as one?
$endgroup$
– Irene
Dec 14 '18 at 11:49
add a comment |
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1
$begingroup$
Both $vert$ and $:$ are used.
$vert$ perhaps, being the most historical.
For clarity of notation, $:$ is preferred.
For example imagine using $vert$ in the definition of ${ x : |x| < 5 }$.
Though I don't know the source of the recent amateurish use of /, it is to be avoided since it is not accepted, causes confusion and lacks notational clarity. For example, ${ x/y / 1/xy < 10 }$.
answered Dec 14 '18 at 8:52
William ElliotWilliam Elliot
8,0702720
$endgroup$
$begingroup$
Thank you very much, I know it is to be avoided for that reasons, but I was looking for some reference, if there was some. I found this link from Springer: link.springer.com/content/pdf/bbm%3A978-0-85729-829-4%2F1.pdf , do you think it can work as one?
$endgroup$
– Irene
Dec 14 '18 at 11:49
add a comment |
1
$begingroup$
Both $vert$ and $:$ are used.
$vert$ perhaps, being the most historical.
For clarity of notation, $:$ is preferred.
For example imagine using $vert$ in the definition of ${ x : |x| < 5 }$.
Though I don't know the source of the recent amateurish use of /, it is to be avoided since it is not accepted, causes confusion and lacks notational clarity. For example, ${ x/y / 1/xy < 10 }$.
answered Dec 14 '18 at 8:52
William ElliotWilliam Elliot
8,0702720
$endgroup$
$begingroup$
Thank you very much, I know it is to be avoided for that reasons, but I was looking for some reference, if there was some. I found this link from Springer: link.springer.com/content/pdf/bbm%3A978-0-85729-829-4%2F1.pdf , do you think it can work as one?
$endgroup$
– Irene
Dec 14 '18 at 11:49
add a comment |
1
1
1
$begingroup$
Both $vert$ and $:$ are used.
$vert$ perhaps, being the most historical.
For clarity of notation, $:$ is preferred.
For example imagine using $vert$ in the definition of ${ x : |x| < 5 }$.
Though I don't know the source of the recent amateurish use of /, it is to be avoided since it is not accepted, causes confusion and lacks notational clarity. For example, ${ x/y / 1/xy < 10 }$.
answered Dec 14 '18 at 8:52
William ElliotWilliam Elliot
8,0702720
$endgroup$
Both $vert$ and $:$ are used.
$vert$ perhaps, being the most historical.
For clarity of notation, $:$ is preferred.
For example imagine using $vert$ in the definition of ${ x : |x| < 5 }$.
Though I don't know the source of the recent amateurish use of /, it is to be avoided since it is not accepted, causes confusion and lacks notational clarity. For example, ${ x/y / 1/xy < 10 }$.
answered Dec 14 '18 at 8:52
William ElliotWilliam Elliot
8,0702720
edited Dec 15 '18 at 23:45
answered Dec 14 '18 at 8:52
William ElliotWilliam Elliot
8,0702720
answered Dec 14 '18 at 8:52
William ElliotWilliam Elliot
8,0702720
answered Dec 14 '18 at 8:52
William ElliotWilliam Elliot
8,0702720
8,0702720
$begingroup$
Thank you very much, I know it is to be avoided for that reasons, but I was looking for some reference, if there was some. I found this link from Springer: link.springer.com/content/pdf/bbm%3A978-0-85729-829-4%2F1.pdf , do you think it can work as one?
$endgroup$
– Irene
Dec 14 '18 at 11:49
add a comment |
$begingroup$
Thank you very much, I know it is to be avoided for that reasons, but I was looking for some reference, if there was some. I found this link from Springer: link.springer.com/content/pdf/bbm%3A978-0-85729-829-4%2F1.pdf , do you think it can work as one?
$endgroup$
– Irene
Dec 14 '18 at 11:49
$begingroup$
Thank you very much, I know it is to be avoided for that reasons, but I was looking for some reference, if there was some. I found this link from Springer: link.springer.com/content/pdf/bbm%3A978-0-85729-829-4%2F1.pdf , do you think it can work as one?
$endgroup$
– Irene
Dec 14 '18 at 11:49
$begingroup$
Thank you very much, I know it is to be avoided for that reasons, but I was looking for some reference, if there was some. I found this link from Springer: link.springer.com/content/pdf/bbm%3A978-0-85729-829-4%2F1.pdf , do you think it can work as one?
$endgroup$
– Irene
Dec 14 '18 at 11:49
add a comment |
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1
$begingroup$
You want references for that? Set builder notation is $textbf{notation}$: i.e., if you want to use a different symbol, go for it.
$endgroup$
– Don Thousand
Dec 14 '18 at 3:42
2
$begingroup$
There are many cases where people use nonstandard notation. As long as it is established before hand that the people are using the same notation it is okay. Rather then "actual notation" it might be better to say "standard notation" or "most commonly used notation"
$endgroup$
– Q the Platypus
Dec 14 '18 at 3:44
$begingroup$
Thank you for your comments. I was serching for references that establishes the vertical line or colon as standard notation, and that gives some reason for not using "/" instead of the other ones. This notation is going to be use on a very elementary material for school students.
$endgroup$
– Irene
Dec 14 '18 at 11:47
1
$begingroup$
You could make up reasons why $/$ is a bad choice, but you could just as well make up such reasons for $:$ and $|$. The real reason is just that it's the notation that everyone else uses. In any case, it seems rather bizarre that you need a reference to "prove" this, especially if this is just for students.
$endgroup$
– Eric Wofsey
Dec 15 '18 at 22:14
$begingroup$
It never occurred to me that the ":" in the weirdly-named "set-builder" notation was the mathematical notation for "such that". I suppose, then, that "{" is the notation for "the set of all", but what does "}" stand for?
$endgroup$
– bof
Dec 15 '18 at 23:56