Is there a mathematical term to refer to the number of unique elements in a multiset/sequence/tuple?
up vote
0
down vote
favorite
Does there exist a mathematical term to refer to the number of unique elements in a multiset/sequence/tuple? For example, if a tuple $T$ is $[2, 4, 2, 10, 4, 8, 10]$, then the number of unique elements in $T$ is $4$: $$[2, 4, 8, 10].$$ The term “cardinality” is not suitable because, according to Wikipedia, if $M = {a, a, b, b, b, c}$ is a multiset, then its cardinality is $6$, although the number of unique elements in $M$ is $3$:$${a, b, c}.$$
terminology
asked Nov 24 at 9:02
lyrically wicked
16518
add a comment |
up vote
0
down vote
favorite
Does there exist a mathematical term to refer to the number of unique elements in a multiset/sequence/tuple? For example, if a tuple $T$ is $[2, 4, 2, 10, 4, 8, 10]$, then the number of unique elements in $T$ is $4$: $$[2, 4, 8, 10].$$ The term “cardinality” is not suitable because, according to Wikipedia, if $M = {a, a, b, b, b, c}$ is a multiset, then its cardinality is $6$, although the number of unique elements in $M$ is $3$:$${a, b, c}.$$
terminology
asked Nov 24 at 9:02
lyrically wicked
16518
I'd likely just call it the 'number of distinct elements', or perhaps the 'cardinality of the range'.
– Hayden
Nov 24 at 9:03
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Does there exist a mathematical term to refer to the number of unique elements in a multiset/sequence/tuple? For example, if a tuple $T$ is $[2, 4, 2, 10, 4, 8, 10]$, then the number of unique elements in $T$ is $4$: $$[2, 4, 8, 10].$$ The term “cardinality” is not suitable because, according to Wikipedia, if $M = {a, a, b, b, b, c}$ is a multiset, then its cardinality is $6$, although the number of unique elements in $M$ is $3$:$${a, b, c}.$$
terminology
asked Nov 24 at 9:02
lyrically wicked
16518
Does there exist a mathematical term to refer to the number of unique elements in a multiset/sequence/tuple? For example, if a tuple $T$ is $[2, 4, 2, 10, 4, 8, 10]$, then the number of unique elements in $T$ is $4$: $$[2, 4, 8, 10].$$ The term “cardinality” is not suitable because, according to Wikipedia, if $M = {a, a, b, b, b, c}$ is a multiset, then its cardinality is $6$, although the number of unique elements in $M$ is $3$:$${a, b, c}.$$
terminology
terminology
asked Nov 24 at 9:02
lyrically wicked
16518
asked Nov 24 at 9:02
lyrically wicked
16518
asked Nov 24 at 9:02
lyrically wicked
16518
asked Nov 24 at 9:02
lyrically wicked
16518
asked Nov 24 at 9:02
lyrically wicked
16518
16518
I'd likely just call it the 'number of distinct elements', or perhaps the 'cardinality of the range'.
– Hayden
Nov 24 at 9:03
add a comment |
I'd likely just call it the 'number of distinct elements', or perhaps the 'cardinality of the range'.
– Hayden
Nov 24 at 9:03
I'd likely just call it the 'number of distinct elements', or perhaps the 'cardinality of the range'.
– Hayden
Nov 24 at 9:03
I'd likely just call it the 'number of distinct elements', or perhaps the 'cardinality of the range'.
– Hayden
Nov 24 at 9:03
add a comment |
1 Answer
1
active
oldest
votes
up vote
0
down vote
I have found that the term “dimension” may be suitable here (source):
The root set (or support set) of a multiset is the set of its distinct elements. The dimension of a multiset is the cardinality of the support set.
answered Nov 24 at 11:17
lyrically wicked
16518
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%2f3011340%2fis-there-a-mathematical-term-to-refer-to-the-number-of-unique-elements-in-a-mult%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
I have found that the term “dimension” may be suitable here (source):
The root set (or support set) of a multiset is the set of its distinct elements. The dimension of a multiset is the cardinality of the support set.
answered Nov 24 at 11:17
lyrically wicked
16518
add a comment |
up vote
0
down vote
I have found that the term “dimension” may be suitable here (source):
The root set (or support set) of a multiset is the set of its distinct elements. The dimension of a multiset is the cardinality of the support set.
answered Nov 24 at 11:17
lyrically wicked
16518
add a comment |
up vote
0
down vote
up vote
0
down vote
I have found that the term “dimension” may be suitable here (source):
The root set (or support set) of a multiset is the set of its distinct elements. The dimension of a multiset is the cardinality of the support set.
answered Nov 24 at 11:17
lyrically wicked
16518
I have found that the term “dimension” may be suitable here (source):
The root set (or support set) of a multiset is the set of its distinct elements. The dimension of a multiset is the cardinality of the support set.
answered Nov 24 at 11:17
lyrically wicked
16518
answered Nov 24 at 11:17
lyrically wicked
16518
answered Nov 24 at 11:17
lyrically wicked
16518
answered Nov 24 at 11:17
lyrically wicked
16518
16518
add a comment |
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%2f3011340%2fis-there-a-mathematical-term-to-refer-to-the-number-of-unique-elements-in-a-mult%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
I'd likely just call it the 'number of distinct elements', or perhaps the 'cardinality of the range'.
– Hayden
Nov 24 at 9:03