View as:
CSV
RDF/XML
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:j.0="http://qudt.org/schema/qudt/"
xmlns:j.1="http://purl.org/dc/terms/"
xmlns:j.2="http://www.linkedmodel.org/schema/dtype#"
xmlns:owl="http://www.w3.org/2002/07/owl#"
xmlns:rdfs="http://www.w3.org/2000/01/rdf-schema#"
xmlns:xsd="http://www.w3.org/2001/XMLSchema#" >
<rdf:Description rdf:about="http://qudt.org/schema/qudt/CT_COUNTABLY-INFINITE">
<j.1:description rdf:datatype="http://qudt.org/schema/qudt/LatexString">
A set of numbers is called countably infinite if there is a way to enumerate them.
Formally this is done with a bijection function that associates each number in the set with exactly one of the positive integers.
The set of all fractions is also countably infinite.
In other words, any set $X$ that has the same cardinality as the set of the natural numbers,
or $| X | \; = \; | \mathbb N | \; = \; \aleph0$, is said to be a countably infinite set.
</j.1:description>
<rdfs:isDefinedBy rdf:resource="http://qudt.org/2.1/schema/qudt"/>
<rdf:type rdf:resource="http://qudt.org/schema/qudt/CardinalityType"/>
<j.1:description rdf:datatype="http://qudt.org/schema/qudt/LatexString">
A set of numbers is called countably infinite if there is a way to enumerate them.
Formally this is done with a bijection function that associates each number in the set with exactly one of the positive integers.
The set of all fractions is also countably infinite.
In other words, any set $X$ that has the same cardinality as the set of the natural numbers,
or $| X | \; = \; | \mathbb N | \; = \; \aleph0$, is said to be a countably infinite set.
</j.1:description>
<j.2:literal>countable</j.2:literal>
<j.0:informativeReference rdf:datatype="http://www.w3.org/2001/XMLSchema#anyURI">http://www.math.vanderbilt.edu/~schectex/courses/infinity.pdf</j.0:informativeReference>
<rdfs:isDefinedBy rdf:resource="http://qudt.org/2.1/schema/shacl/datatype"/>
<rdfs:label>Countably Infinite Cardinality Type</rdfs:label>
</rdf:Description>
</rdf:RDF>
TURTLE
@prefix owl: <http://www.w3.org/2002/07/owl#> .
@prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .
<http://qudt.org/schema/qudt/CT_COUNTABLY-INFINITE>
rdf:type <http://qudt.org/schema/qudt/CardinalityType> ;
<http://purl.org/dc/terms/description> """
A set of numbers is called countably infinite if there is a way to enumerate them.
Formally this is done with a bijection function that associates each number in the set with exactly one of the positive integers.
The set of all fractions is also countably infinite.
In other words, any set $X$ that has the same cardinality as the set of the natural numbers,
or $| X | \\; = \\; | \\mathbb N | \\; = \\; \\aleph0$, is said to be a countably infinite set.
"""^^<http://qudt.org/schema/qudt/LatexString> ;
<http://purl.org/dc/terms/description> """
A set of numbers is called countably infinite if there is a way to enumerate them.
Formally this is done with a bijection function that associates each number in the set with exactly one of the positive integers.
The set of all fractions is also countably infinite.
In other words, any set $X$ that has the same cardinality as the set of the natural numbers,
or $| X | \\; = \\; | \\mathbb N | \\; = \\; \\aleph0$, is said to be a countably infinite set.
"""^^<http://qudt.org/schema/qudt/LatexString> ;
<http://qudt.org/schema/qudt/informativeReference> "http://www.math.vanderbilt.edu/~schectex/courses/infinity.pdf"^^xsd:anyURI ;
<http://www.linkedmodel.org/schema/dtype#literal> "countable" ;
rdfs:isDefinedBy <http://qudt.org/2.1/schema/qudt> ;
rdfs:isDefinedBy <http://qudt.org/2.1/schema/shacl/datatype> ;
rdfs:label "Countably Infinite Cardinality Type" ;
.
JSON
{"resource":"Countably Infinite Cardinality Type"
,"qname":"qudt:CT_COUNTABLY-INFINITE"
,"uri":"http:\/\/qudt.org\/schema\/qudt\/CT_COUNTABLY-INFINITE"
,"properties":["description":"\n A set of numbers is called countably infinite if there is a way to enumerate them.\n Formally this is done with a bijection function that associates each number in the set with exactly one of the positive integers.\n The set of all fractions is also countably infinite.\n In other words, any set $X$ that has the same cardinality as the set of the natural numbers,\n or $| X | \\; = \\; | \\mathbb N | \\; = \\; \\aleph0$, is said to be a countably infinite set.\n "
,"description":"\n A set of numbers is called countably infinite if there is a way to enumerate them. \n Formally this is done with a bijection function that associates each number in the set with exactly one of the positive integers.\n The set of all fractions is also countably infinite.\n In other words, any set $X$ that has the same cardinality as the set of the natural numbers,\n or $| X | \\; = \\; | \\mathbb N | \\; = \\; \\aleph0$, is said to be a countably infinite set.\n "
,"informative reference":"http:\/\/www.math.vanderbilt.edu\/~schectex\/courses\/infinity.pdf"
,"isDefinedBy":"<http:\/\/qudt.org\/2.1\/schema\/qudt>"
,"isDefinedBy":"<http:\/\/qudt.org\/2.1\/schema\/shacl\/datatype>"
,"label":"Countably Infinite Cardinality Type"
,"literal":"countable"
,"type":"qudt:CardinalityType"
]}
JSON-LD
{
"@id" : "http://qudt.org/schema/qudt/CT_COUNTABLY-INFINITE",
"@type" : "http://qudt.org/schema/qudt/CardinalityType",
"description" : [ "\n A set of numbers is called countably infinite if there is a way to enumerate them. \n Formally this is done with a bijection function that associates each number in the set with exactly one of the positive integers.\n The set of all fractions is also countably infinite.\n In other words, any set $X$ that has the same cardinality as the set of the natural numbers,\n or $| X | \\; = \\; | \\mathbb N | \\; = \\; \\aleph0$, is said to be a countably infinite set.\n ", "\n A set of numbers is called countably infinite if there is a way to enumerate them.\n Formally this is done with a bijection function that associates each number in the set with exactly one of the positive integers.\n The set of all fractions is also countably infinite.\n In other words, any set $X$ that has the same cardinality as the set of the natural numbers,\n or $| X | \\; = \\; | \\mathbb N | \\; = \\; \\aleph0$, is said to be a countably infinite set.\n " ],
"informativeReference" : "http://www.math.vanderbilt.edu/~schectex/courses/infinity.pdf",
"literal" : "countable",
"isDefinedBy" : [ "http://qudt.org/2.1/schema/qudt", "http://qudt.org/2.1/schema/shacl/datatype" ],
"label" : "Countably Infinite Cardinality Type",
"@context" : {
"description" : {
"@id" : "http://purl.org/dc/terms/description",
"@type" : "http://qudt.org/schema/qudt/LatexString"
},
"isDefinedBy" : {
"@id" : "http://www.w3.org/2000/01/rdf-schema#isDefinedBy",
"@type" : "@id"
},
"literal" : {
"@id" : "http://www.linkedmodel.org/schema/dtype#literal"
},
"informativeReference" : {
"@id" : "http://qudt.org/schema/qudt/informativeReference",
"@type" : "http://www.w3.org/2001/XMLSchema#anyURI"
},
"label" : {
"@id" : "http://www.w3.org/2000/01/rdf-schema#label"
},
"rdf" : "http://www.w3.org/1999/02/22-rdf-syntax-ns#",
"owl" : "http://www.w3.org/2002/07/owl#",
"xsd" : "http://www.w3.org/2001/XMLSchema#",
"rdfs" : "http://www.w3.org/2000/01/rdf-schema#"
}
}