SHMARQL

metric function

<http://www.wikidata.org/entity/Q865746>

mathematical function that defines a distance between elements of a set
rdfs:label
"metric function"@en
skos:altLabel
"distance"@en
"distance function"@en
"distance metric"@en
"metric"@en
schema:description
"mathematical function that defines a distance between elements of a set"@en
schema:dateModified "2026-11-05T06:02:44+00:00"^^xsd:dateTime
schema:version 2564926739
wikibase:identifiers 10
wikibase:sitelinks 31
wikibase:statements 26
p:P10565 wd:statement/Q865746-87BF2974-6CAD-45A6-8AFE-2296CC089441
p:P12457 wd:statement/Q865746-409588e6-4b55-d849-6f74-13bd6914e596
p:P12888 wd:statement/Q865746-F1F4F855-784F-4927-9E4F-3721685A2D5E
p:P12975 wd:statement/Q865746-f04886b1-49ab-a2bc-b12f-b777bbb17090
p:P14541 wd:statement/Q865746-CFC4AD5E-6941-4DD7-9C81-F87AFE2EE9EA
p:P1552 wd:statement/Q865746-02a2d67c-42c3-141b-3686-32c5fb59e4ea
wd:statement/Q865746-3ba59c33-4344-6a2d-2d50-ea0b5f4b7426
wd:statement/Q865746-e9149477-461b-50ce-8804-212054bcabe2
p:P1889 wd:statement/Q865746-0DE31DAD-4EEC-47EA-9B5C-7780F24BAB3E
wd:statement/Q865746-459bc6f7-4507-f22a-f7f1-7e74304c5d30
p:P2396 wd:statement/Q865746-5c04410a-4b3a-6c8a-8848-4c36bf7491ab
p:P2534 wd:statement/Q865746-661861c6-439d-4fba-e4e9-ac4acce15635
wd:statement/Q865746-D2A1EA63-2FA9-43D3-A401-009E0623DE7D
p:P279 wd:statement/Q865746-732d8567-490b-4129-351c-feca7b4da2d1
wd:statement/Q865746-d9fb8f60-4d11-9b9f-b51d-0b3ad7bf2d28
p:P2812 wd:statement/Q865746-DCE04377-2C82-4571-A363-DB3393648D8F
p:P361 wd:statement/Q865746-75401868-409b-01da-d09d-1dcfa02223a2
p:P373 wd:statement/Q865746-807997F7-2E62-45DB-B63B-4F0DCE9F230A
p:P4342 wd:statement/Q865746-7eeff67c-4420-d34e-0886-8e64e0e2b991
p:P461 wd:statement/Q865746-d86c9804-4a94-f293-c6e7-5bf425e614e8
p:P5063 wd:statement/Q865746-B9F1210E-08C8-489E-B6B6-67E3DFB87C37
p:P6104 wd:statement/Q865746-00BE3A0E-EF28-4A92-931D-DD7BF58619BD
p:P6366 wd:statement/Q865746-7D427A9C-7A96-49AE-96E7-3A482D26101A
p:P646 wd:statement/Q865746-CA61DCC4-6A10-471A-93CF-48B4494787CA
p:P6781 wd:statement/Q865746-65fd4d11-4703-43db-b627-6d9c00029b48
p:P910 wd:statement/Q865746-ECBB7BEE-9887-4D49-AFAB-4D604D6995AA
p:direct-normalized/P5063 <http://globalwordnet.org/ili/i109347>
p:direct-normalized/P6366 <https://makg.org/entity/205617318>
wdt:P10565 "123188"
wdt:P12457 isometry
wdt:P12888 "df-met"
wdt:P12975 "6370"
wdt:P14541 "Rf23F"
wdt:P1552 subadditivity
triangle inequality theorem
symmetry
wdt:P1889 Metrika
measure
wdt:P2396 set of non-negative real numbers
wdt:P2534 "<math class="mwe-math-element mwe-math-element-inline mathjax_ignore" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>d</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mn>0</mn><mo>;</mo><mi>d</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo stretchy="false">)</mo><mo>&gt;</mo><mn>0</mn><mrow data-mjx-texclass="ORD"><mtext>&#xA0;if&#xA0;</mtext></mrow><mi>x</mi><mo stretchy="false">≠</mo><mi>y</mi><mo>;</mo><mi>d</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mi>d</mi><mo stretchy="false">(</mo><mi>y</mi><mo>,</mo><mi>x</mi><mo stretchy="false">)</mo><mo>;</mo><mi>d</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>z</mi><mo stretchy="false">)</mo><mo stretchy="false">≤</mo><mi>d</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>d</mi><mo stretchy="false">(</mo><mi>y</mi><mo>,</mo><mi>z</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>d</mi><mo stretchy="false">:</mo><mi>X</mi><mo stretchy="false">&#x00D7;</mo><mi>X</mi><mo stretchy="false" accent="false">&#x2192;</mo><mo stretchy="false">[</mo><mn>0</mn><mo>,</mo><mi mathvariant="normal">&#x221E;</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P279 quasimetric function
symmetric function
wdt:P2812 "Metric"
wdt:P361 metric space
wdt:P373 "Metric geometry"
wdt:P4342 "metrikk_-_matematikk"
wdt:P461 similarity measure
wdt:P5063 "i109347"
wdt:P6104 WikiProject Mathematics
wdt:P6366 "205617318"
wdt:P646 "/m/05bj8r"
wdt:P6781 "Definition:Metric_Space/Distance_Function"
wdt:P910 Category:Metric geometry
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