Difference between backslash and minus on domain, range
$begingroup$
When declaring domain or range, is "$Rsetminus{0}$" any different than "$R-{0}$"?
elementary-set-theory notation
edited Nov 28 '18 at 21:41
Asaf Karagila♦
303k32429761
asked Nov 28 '18 at 21:31
Eren KaraEren Kara
183
$endgroup$
add a comment |
$begingroup$
When declaring domain or range, is "$Rsetminus{0}$" any different than "$R-{0}$"?
elementary-set-theory notation
edited Nov 28 '18 at 21:41
Asaf Karagila♦
303k32429761
asked Nov 28 '18 at 21:31
Eren KaraEren Kara
183
$endgroup$
2
$begingroup$
No. $qquadqquad$
$endgroup$
– Zachary Selk
Nov 28 '18 at 21:31
$begingroup$
No. But $mathbb Rsetminus {0}$ is preferred by just about everyone who isn't me. However a FORWARD slash such as $mathbb Z/6mathbb Z$ is an ENTIRELY different things (which is why I don't like $mathbb Rsetminus {0}$. But I am in the minority). Note if you type "$setminus$" you get the backslash so... that tells you it means set minus. In any event $mathbb Rsetminus{0}=mathbb R-{0} = {xin mathbb R| xne 0}$. Same thing.
$endgroup$
– fleablood
Nov 28 '18 at 21:48
$begingroup$
Backslash is common for set minus. For all sets, not just ranges.
$endgroup$
– mathreadler
Nov 28 '18 at 21:59
add a comment |
$begingroup$
When declaring domain or range, is "$Rsetminus{0}$" any different than "$R-{0}$"?
elementary-set-theory notation
edited Nov 28 '18 at 21:41
Asaf Karagila♦
303k32429761
asked Nov 28 '18 at 21:31
Eren KaraEren Kara
183
$endgroup$
When declaring domain or range, is "$Rsetminus{0}$" any different than "$R-{0}$"?
elementary-set-theory notation
elementary-set-theory notation
edited Nov 28 '18 at 21:41
Asaf Karagila♦
303k32429761
asked Nov 28 '18 at 21:31
Eren KaraEren Kara
183
edited Nov 28 '18 at 21:41
Asaf Karagila♦
303k32429761
asked Nov 28 '18 at 21:31
Eren KaraEren Kara
183
edited Nov 28 '18 at 21:41
Asaf Karagila♦
303k32429761
edited Nov 28 '18 at 21:41
Asaf Karagila♦
303k32429761
edited Nov 28 '18 at 21:41
Asaf Karagila♦
303k32429761
303k32429761
asked Nov 28 '18 at 21:31
Eren KaraEren Kara
183
asked Nov 28 '18 at 21:31
Eren KaraEren Kara
183
asked Nov 28 '18 at 21:31
Eren KaraEren Kara
183
183
2
$begingroup$
No. $qquadqquad$
$endgroup$
– Zachary Selk
Nov 28 '18 at 21:31
$begingroup$
No. But $mathbb Rsetminus {0}$ is preferred by just about everyone who isn't me. However a FORWARD slash such as $mathbb Z/6mathbb Z$ is an ENTIRELY different things (which is why I don't like $mathbb Rsetminus {0}$. But I am in the minority). Note if you type "$setminus$" you get the backslash so... that tells you it means set minus. In any event $mathbb Rsetminus{0}=mathbb R-{0} = {xin mathbb R| xne 0}$. Same thing.
$endgroup$
– fleablood
Nov 28 '18 at 21:48
$begingroup$
Backslash is common for set minus. For all sets, not just ranges.
$endgroup$
– mathreadler
Nov 28 '18 at 21:59
add a comment |
2
$begingroup$
No. $qquadqquad$
$endgroup$
– Zachary Selk
Nov 28 '18 at 21:31
$begingroup$
No. But $mathbb Rsetminus {0}$ is preferred by just about everyone who isn't me. However a FORWARD slash such as $mathbb Z/6mathbb Z$ is an ENTIRELY different things (which is why I don't like $mathbb Rsetminus {0}$. But I am in the minority). Note if you type "$setminus$" you get the backslash so... that tells you it means set minus. In any event $mathbb Rsetminus{0}=mathbb R-{0} = {xin mathbb R| xne 0}$. Same thing.
$endgroup$
– fleablood
Nov 28 '18 at 21:48
$begingroup$
Backslash is common for set minus. For all sets, not just ranges.
$endgroup$
– mathreadler
Nov 28 '18 at 21:59
2
2
$begingroup$
No. $qquadqquad$
$endgroup$
– Zachary Selk
Nov 28 '18 at 21:31
$begingroup$
No. $qquadqquad$
$endgroup$
– Zachary Selk
Nov 28 '18 at 21:31
$begingroup$
No. But $mathbb Rsetminus {0}$ is preferred by just about everyone who isn't me. However a FORWARD slash such as $mathbb Z/6mathbb Z$ is an ENTIRELY different things (which is why I don't like $mathbb Rsetminus {0}$. But I am in the minority). Note if you type "$setminus$" you get the backslash so... that tells you it means set minus. In any event $mathbb Rsetminus{0}=mathbb R-{0} = {xin mathbb R| xne 0}$. Same thing.
$endgroup$
– fleablood
Nov 28 '18 at 21:48
$begingroup$
No. But $mathbb Rsetminus {0}$ is preferred by just about everyone who isn't me. However a FORWARD slash such as $mathbb Z/6mathbb Z$ is an ENTIRELY different things (which is why I don't like $mathbb Rsetminus {0}$. But I am in the minority). Note if you type "$setminus$" you get the backslash so... that tells you it means set minus. In any event $mathbb Rsetminus{0}=mathbb R-{0} = {xin mathbb R| xne 0}$. Same thing.
$endgroup$
– fleablood
Nov 28 '18 at 21:48
$begingroup$
Backslash is common for set minus. For all sets, not just ranges.
$endgroup$
– mathreadler
Nov 28 '18 at 21:59
$begingroup$
Backslash is common for set minus. For all sets, not just ranges.
$endgroup$
– mathreadler
Nov 28 '18 at 21:59
add a comment |
2 Answers
2
active
oldest
votes
$begingroup$
In principle, no. This is a matter of preference.
In practice, sometimes yes. $A-B$ sometimes denotes ${a-bmid ain A, bin B}$ when $A$ and $B$ are subset of some set where subtraction is well-defined (e.g. sets of reals).
The rule of thumb is that when in doubt, define your notation explicitly. If you are the reader, ask to be sure.
answered Nov 28 '18 at 21:42
Asaf Karagila♦Asaf Karagila
303k32429761
$endgroup$
add a comment |
$begingroup$
The notation "$R setminus {0}$" is usually used when dealing with sets (TeX command: "setminus").
But also the minus sign is sometimes used and accepted.
Refer also to:
- Set Difference
answered Nov 28 '18 at 21:32
gimusigimusi
92.8k84494
$endgroup$
1
$begingroup$
I prefer that $ddotsmile$. So when we should write (there are?) $Bbb R-{0}$?
$endgroup$
– manooooh
Nov 28 '18 at 21:36
2
$begingroup$
@manooooh I prefer $setminus$ :)
$endgroup$
– gimusi
Nov 28 '18 at 21:37
add a comment |
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2 Answers
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active
oldest
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2 Answers
2
active
oldest
votes
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oldest
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active
oldest
votes
$begingroup$
In principle, no. This is a matter of preference.
In practice, sometimes yes. $A-B$ sometimes denotes ${a-bmid ain A, bin B}$ when $A$ and $B$ are subset of some set where subtraction is well-defined (e.g. sets of reals).
The rule of thumb is that when in doubt, define your notation explicitly. If you are the reader, ask to be sure.
answered Nov 28 '18 at 21:42
Asaf Karagila♦Asaf Karagila
303k32429761
$endgroup$
add a comment |
$begingroup$
In principle, no. This is a matter of preference.
In practice, sometimes yes. $A-B$ sometimes denotes ${a-bmid ain A, bin B}$ when $A$ and $B$ are subset of some set where subtraction is well-defined (e.g. sets of reals).
The rule of thumb is that when in doubt, define your notation explicitly. If you are the reader, ask to be sure.
answered Nov 28 '18 at 21:42
Asaf Karagila♦Asaf Karagila
303k32429761
$endgroup$
add a comment |
$begingroup$
In principle, no. This is a matter of preference.
In practice, sometimes yes. $A-B$ sometimes denotes ${a-bmid ain A, bin B}$ when $A$ and $B$ are subset of some set where subtraction is well-defined (e.g. sets of reals).
The rule of thumb is that when in doubt, define your notation explicitly. If you are the reader, ask to be sure.
answered Nov 28 '18 at 21:42
Asaf Karagila♦Asaf Karagila
303k32429761
$endgroup$
In principle, no. This is a matter of preference.
In practice, sometimes yes. $A-B$ sometimes denotes ${a-bmid ain A, bin B}$ when $A$ and $B$ are subset of some set where subtraction is well-defined (e.g. sets of reals).
The rule of thumb is that when in doubt, define your notation explicitly. If you are the reader, ask to be sure.
answered Nov 28 '18 at 21:42
Asaf Karagila♦Asaf Karagila
303k32429761
answered Nov 28 '18 at 21:42
Asaf Karagila♦Asaf Karagila
303k32429761
answered Nov 28 '18 at 21:42
Asaf Karagila♦Asaf Karagila
303k32429761
answered Nov 28 '18 at 21:42
Asaf Karagila♦Asaf Karagila
303k32429761
303k32429761
add a comment |
add a comment |
$begingroup$
The notation "$R setminus {0}$" is usually used when dealing with sets (TeX command: "setminus").
But also the minus sign is sometimes used and accepted.
Refer also to:
- Set Difference
answered Nov 28 '18 at 21:32
gimusigimusi
92.8k84494
$endgroup$
1
$begingroup$
I prefer that $ddotsmile$. So when we should write (there are?) $Bbb R-{0}$?
$endgroup$
– manooooh
Nov 28 '18 at 21:36
2
$begingroup$
@manooooh I prefer $setminus$ :)
$endgroup$
– gimusi
Nov 28 '18 at 21:37
add a comment |
$begingroup$
The notation "$R setminus {0}$" is usually used when dealing with sets (TeX command: "setminus").
But also the minus sign is sometimes used and accepted.
Refer also to:
- Set Difference
answered Nov 28 '18 at 21:32
gimusigimusi
92.8k84494
$endgroup$
1
$begingroup$
I prefer that $ddotsmile$. So when we should write (there are?) $Bbb R-{0}$?
$endgroup$
– manooooh
Nov 28 '18 at 21:36
2
$begingroup$
@manooooh I prefer $setminus$ :)
$endgroup$
– gimusi
Nov 28 '18 at 21:37
add a comment |
$begingroup$
The notation "$R setminus {0}$" is usually used when dealing with sets (TeX command: "setminus").
But also the minus sign is sometimes used and accepted.
Refer also to:
- Set Difference
answered Nov 28 '18 at 21:32
gimusigimusi
92.8k84494
$endgroup$
The notation "$R setminus {0}$" is usually used when dealing with sets (TeX command: "setminus").
But also the minus sign is sometimes used and accepted.
Refer also to:
- Set Difference
answered Nov 28 '18 at 21:32
gimusigimusi
92.8k84494
answered Nov 28 '18 at 21:32
gimusigimusi
92.8k84494
answered Nov 28 '18 at 21:32
gimusigimusi
92.8k84494
answered Nov 28 '18 at 21:32
gimusigimusi
92.8k84494
92.8k84494
1
$begingroup$
I prefer that $ddotsmile$. So when we should write (there are?) $Bbb R-{0}$?
$endgroup$
– manooooh
Nov 28 '18 at 21:36
2
$begingroup$
@manooooh I prefer $setminus$ :)
$endgroup$
– gimusi
Nov 28 '18 at 21:37
add a comment |
1
$begingroup$
I prefer that $ddotsmile$. So when we should write (there are?) $Bbb R-{0}$?
$endgroup$
– manooooh
Nov 28 '18 at 21:36
2
$begingroup$
@manooooh I prefer $setminus$ :)
$endgroup$
– gimusi
Nov 28 '18 at 21:37
1
1
$begingroup$
I prefer that $ddotsmile$. So when we should write (there are?) $Bbb R-{0}$?
$endgroup$
– manooooh
Nov 28 '18 at 21:36
$begingroup$
I prefer that $ddotsmile$. So when we should write (there are?) $Bbb R-{0}$?
$endgroup$
– manooooh
Nov 28 '18 at 21:36
2
2
$begingroup$
@manooooh I prefer $setminus$ :)
$endgroup$
– gimusi
Nov 28 '18 at 21:37
$begingroup$
@manooooh I prefer $setminus$ :)
$endgroup$
– gimusi
Nov 28 '18 at 21:37
add a comment |
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2
$begingroup$
No. $qquadqquad$
$endgroup$
– Zachary Selk
Nov 28 '18 at 21:31
$begingroup$
No. But $mathbb Rsetminus {0}$ is preferred by just about everyone who isn't me. However a FORWARD slash such as $mathbb Z/6mathbb Z$ is an ENTIRELY different things (which is why I don't like $mathbb Rsetminus {0}$. But I am in the minority). Note if you type "$setminus$" you get the backslash so... that tells you it means set minus. In any event $mathbb Rsetminus{0}=mathbb R-{0} = {xin mathbb R| xne 0}$. Same thing.
$endgroup$
– fleablood
Nov 28 '18 at 21:48
$begingroup$
Backslash is common for set minus. For all sets, not just ranges.
$endgroup$
– mathreadler
Nov 28 '18 at 21:59