Difference between backslash and minus on domain, range
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♦
302k32426756
asked Nov 28 '18 at 21:31
Eren Kara
183
add a comment |
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♦
302k32426756
asked Nov 28 '18 at 21:31
Eren Kara
183
2
No. $qquadqquad$
– Zachary Selk
Nov 28 '18 at 21:31
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.
– fleablood
Nov 28 '18 at 21:48
Backslash is common for set minus. For all sets, not just ranges.
– mathreadler
Nov 28 '18 at 21:59
add a comment |
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♦
302k32426756
asked Nov 28 '18 at 21:31
Eren Kara
183
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♦
302k32426756
asked Nov 28 '18 at 21:31
Eren Kara
183
edited Nov 28 '18 at 21:41
Asaf Karagila♦
302k32426756
asked Nov 28 '18 at 21:31
Eren Kara
183
edited Nov 28 '18 at 21:41
Asaf Karagila♦
302k32426756
edited Nov 28 '18 at 21:41
Asaf Karagila♦
302k32426756
edited Nov 28 '18 at 21:41
Asaf Karagila♦
302k32426756
302k32426756
asked Nov 28 '18 at 21:31
Eren Kara
183
asked Nov 28 '18 at 21:31
Eren Kara
183
asked Nov 28 '18 at 21:31
Eren Kara
183
183
2
No. $qquadqquad$
– Zachary Selk
Nov 28 '18 at 21:31
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.
– fleablood
Nov 28 '18 at 21:48
Backslash is common for set minus. For all sets, not just ranges.
– mathreadler
Nov 28 '18 at 21:59
add a comment |
2
No. $qquadqquad$
– Zachary Selk
Nov 28 '18 at 21:31
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.
– fleablood
Nov 28 '18 at 21:48
Backslash is common for set minus. For all sets, not just ranges.
– mathreadler
Nov 28 '18 at 21:59
2
2
No. $qquadqquad$
– Zachary Selk
Nov 28 '18 at 21:31
No. $qquadqquad$
– Zachary Selk
Nov 28 '18 at 21:31
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.
– fleablood
Nov 28 '18 at 21:48
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.
– fleablood
Nov 28 '18 at 21:48
Backslash is common for set minus. For all sets, not just ranges.
– mathreadler
Nov 28 '18 at 21:59
Backslash is common for set minus. For all sets, not just ranges.
– mathreadler
Nov 28 '18 at 21:59
add a comment |
2 Answers
2
active
oldest
votes
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♦
302k32426756
add a comment |
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
gimusi
1
1
I prefer that $ddotsmile$. So when we should write (there are?) $Bbb R-{0}$?
– manooooh
Nov 28 '18 at 21:36
2
@manooooh I prefer $setminus$ :)
– gimusi
Nov 28 '18 at 21:37
add a comment |
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3017744%2fdifference-between-backslash-and-minus-on-domain-range%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
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♦
302k32426756
add a comment |
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♦
302k32426756
add a comment |
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♦
302k32426756
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♦
302k32426756
answered Nov 28 '18 at 21:42
Asaf Karagila♦
302k32426756
answered Nov 28 '18 at 21:42
Asaf Karagila♦
302k32426756
answered Nov 28 '18 at 21:42
Asaf Karagila♦
302k32426756
302k32426756
add a comment |
add a comment |
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
gimusi
1
1
I prefer that $ddotsmile$. So when we should write (there are?) $Bbb R-{0}$?
– manooooh
Nov 28 '18 at 21:36
2
@manooooh I prefer $setminus$ :)
– gimusi
Nov 28 '18 at 21:37
add a comment |
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
gimusi
1
1
I prefer that $ddotsmile$. So when we should write (there are?) $Bbb R-{0}$?
– manooooh
Nov 28 '18 at 21:36
2
@manooooh I prefer $setminus$ :)
– gimusi
Nov 28 '18 at 21:37
add a comment |
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
gimusi
1
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
gimusi
1
answered Nov 28 '18 at 21:32
gimusi
1
answered Nov 28 '18 at 21:32
gimusi
1
answered Nov 28 '18 at 21:32
gimusi
1
1
1
I prefer that $ddotsmile$. So when we should write (there are?) $Bbb R-{0}$?
– manooooh
Nov 28 '18 at 21:36
2
@manooooh I prefer $setminus$ :)
– gimusi
Nov 28 '18 at 21:37
add a comment |
1
I prefer that $ddotsmile$. So when we should write (there are?) $Bbb R-{0}$?
– manooooh
Nov 28 '18 at 21:36
2
@manooooh I prefer $setminus$ :)
– gimusi
Nov 28 '18 at 21:37
1
1
I prefer that $ddotsmile$. So when we should write (there are?) $Bbb R-{0}$?
– manooooh
Nov 28 '18 at 21:36
I prefer that $ddotsmile$. So when we should write (there are?) $Bbb R-{0}$?
– manooooh
Nov 28 '18 at 21:36
2
2
@manooooh I prefer $setminus$ :)
– gimusi
Nov 28 '18 at 21:37
@manooooh I prefer $setminus$ :)
– gimusi
Nov 28 '18 at 21:37
add a comment |
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Some of your past answers have not been well-received, and you're in danger of being blocked from answering.
Please pay close attention to the following guidance:
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3017744%2fdifference-between-backslash-and-minus-on-domain-range%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
2
No. $qquadqquad$
– Zachary Selk
Nov 28 '18 at 21:31
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.
– fleablood
Nov 28 '18 at 21:48
Backslash is common for set minus. For all sets, not just ranges.
– mathreadler
Nov 28 '18 at 21:59