@prefix p: <http://www.wikidata.org/prop/> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix schema1: <http://schema.org/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix wd: <http://www.wikidata.org/entity/> .
@prefix wds: <http://www.wikidata.org/entity/statement/> .
@prefix wdt: <http://www.wikidata.org/prop/direct/> .
@prefix wdtn: <http://www.wikidata.org/prop/direct-normalized/> .
@prefix wikibase: <http://wikiba.se/ontology#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

wd:Q623761 rdfs:label "Símbol de Levi-Civita"@ca,
        "Levi-Civitův symbol"@cs,
        "Levi-Civita-Symbol"@de,
        "Σύμβολο μετάθεσης"@el,
        "Levi-Civita symbol"@en,
        "simbolo de Levi-Civita"@eo,
        "símbolo de Levi-Civita"@es,
        "Levi-Civita sümbol"@et,
        "نماد لوی-چیویتا"@fa,
        "Levi-Civita-symboli"@fi,
        "symbole de Levi-Civita"@fr,
        "סימן לוי-צ'יוויטה"@he,
        "Levi-Civita-szimbólum"@hu,
        "Simbolo di Levi-Civita"@it,
        "エディントンのイプシロン"@ja,
        "ლევი-ჩივიტას სიმბოლო"@ka,
        "레비치비타 기호"@ko,
        "Símbul da Levi-Civita"@lmo,
        "симбол на Леви-Чивита"@mk,
        "ലെവി-സിവിറ്റ ചിഹ്നം"@ml,
        "Levi-Civita-symbol"@nb,
        "Levi-Civita-symbool"@nl,
        "Symbol Leviego-Civity"@pl,
        "Símbolo de Levi-Civita"@pt,
        "simbolul Levi-Civita"@ro,
        "Символ Леви-Чивиты"@ru,
        "Levi-Civitajev simbol"@sl,
        "Леви-Чивита симбол"@sr,
        "Леви-Чивита симбол"@sr-ec,
        "Levi-Čivita simbol"@sr-el,
        "Permutationssymbol"@sv,
        "Levi-Civita sembolü"@tr,
        "Символ Леві-Чивіти"@uk,
        "列維-奇維塔符號"@zh,
        "列维-奇维塔符号"@zh-hans,
        "列維-奇維塔符號"@zh-hant,
        "勒維奇維塔符號"@zh-hk,
        "勒維奇維塔符號"@zh-tw ;
    schema1:dateModified "2026-05-06T20:52:30+00:00"^^xsd:dateTime ;
    schema1:description "odborný matematický pojem"@cs,
        "Permutationssymbol"@de,
        "antisymmetric permutation object acting on tensors"@en,
        "tute antisimetria simbolo"@eo,
        "un objet antisymétrique"@fr,
        "数学記号"@ja,
        "funkcja opisująca znak permutacji argumentów"@pl,
        "obiect matematic de permutare antisimetrică la tensori"@ro ;
    schema1:version 2488296578 ;
    wikibase:identifiers 7 ;
    wikibase:sitelinks 29 ;
    wikibase:statements 16 ;
    skos:altLabel "Levi-Civitův pseudotenzor"@cs,
        "Permutační symbol"@cs,
        "Permutationssymbol"@de,
        "نماد لوی چی ویتا"@fa,
        "نماد لوی-چی ویتا"@fa,
        "טנזור לוי-צ'יוויטה"@he,
        "טנזור לוי-צ'יויטה"@he,
        "טנסור לוי צ'יוויטה"@he,
        "Operatore di permutazione"@it,
        "Simbolo di Ricci"@it,
        "Simbolo di levi civita"@it,
        "Simbolo di permutazione"@it,
        "Tensore di Levi-Civita"@it,
        "レビ・チビタ記号"@ja,
        "レヴィ=チヴィタ記号"@ja,
        "レヴィ＝チヴィタ記号"@ja,
        "交代記号"@ja,
        "完全反対称テンソル"@ja,
        "레비 시비타 입실론"@ko,
        "레비 치비타 기호"@ko,
        "레비 치비타 입실론"@ko,
        "레비-시비타 기호"@ko,
        "레비-시비타 입실론"@ko,
        "레비-시비타기호"@ko,
        "레비-치비타 기호"@ko,
        "레비-치비타 입실론"@ko,
        "레비-치비타기호"@ko,
        "레비-치비타입실론"@ko,
        "레비시비타 기호"@ko,
        "레비시비타 입실론"@ko,
        "레비시비타기호"@ko,
        "레비시비타입실론"@ko,
        "레비치비타 입실론"@ko,
        "레비치비타입실론"@ko,
        "Levi-Civita symbol"@ml,
        "Levi-Civita symbool"@nl,
        "Epsilon z trzema indeksami"@pl,
        "Symbol Levi-Civity"@pl,
        "Symbol zupełnie antysymetryczny"@pl,
        "Абсолютно антисимметричный единичный тензор"@ru,
        "Абсолютно антисимметричный псевдотензор"@ru,
        "Абсолютно антисимметричный псевдотензор 3-го ранга"@ru,
        "Абсолютно кососимметричный объект"@ru,
        "Полностью антисимметричный единичный тензор"@ru,
        "Символ Леви-Чивита"@ru,
        "Тензор Леви-Чивита"@ru,
        "Тензор Леви-Чивиты"@ru,
        "Антисиметрични јединични тензор"@sr,
        "Permutationstensor"@sv,
        "Permutationstensorn"@sv,
        "Одиничний антисиметричний тензор"@uk,
        "Символ Леві-Чивіта"@uk,
        "Тензор Леві-Чивіта"@uk,
        "Тензор Леві-Чівіта"@uk ;
    p:P10376 wds:Q623761-ddae1520-49e3-4089-6841-9f4f2a1d55dc ;
    p:P11497 wds:Q623761-842510f7-46d2-0840-3b7f-6041c433bba4 ;
    p:P1343 wds:Q623761-418922ae-40b3-4eba-3ea2-12377e6ab968 ;
    p:P138 wds:q623761-28798B5A-AF28-467D-987D-F384F9D0B082 ;
    p:P18 wds:Q623761-a824a1a9-4c94-520d-cc97-dadb9b0e2b38 ;
    p:P1889 wds:Q623761-DF1522EB-424D-4310-9CAF-B819B8A283B4 ;
    p:P2534 wds:Q623761-fad909b2-4ee4-a2db-e861-87b9d7aab56d ;
    p:P2812 wds:Q623761-333bb3a6-4fa0-c382-b518-c200345b549f ;
    p:P31 wds:Q623761-df422bdc-4bb6-f503-ff01-facd409d0b9c ;
    p:P4215 wds:Q623761-788169E2-EA76-4738-A5AB-F4863D510877 ;
    p:P5555 wds:Q623761-0b9858ee-4420-b148-616d-0eebd7ad422b ;
    p:P6104 wds:Q623761-9C6B00B0-7482-4F6D-B9E0-FF3CF3F85EC3 ;
    p:P6366 wds:Q623761-143C33F4-1190-4BCE-8529-E5A39FB92B9B ;
    p:P646 wds:Q623761-ECD83565-BF6E-4E92-89D0-44497BC006BB ;
    p:P7235 wds:Q623761-b72087de-43ac-9381-b024-67a508598e2f ;
    p:P8885 wds:Q623761-6ca2f6d4-4c43-a83b-1349-38e826973d16 ;
    wdtn:P6366 <https://makg.org/entity/42164691> ;
    wdt:P10376 "mathematics/levi-civita-symbol" ;
    wdt:P11497 "1.6.E14" ;
    wdt:P1343 wd:Q109490582 ;
    wdt:P138 wd:Q353438 ;
    wdt:P18 <http://commons.wikimedia.org/wiki/Special:FilePath/Epsilontensor.svg> ;
    wdt:P1889 wd:Q548675 ;
    wdt:P2534 "<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\"><mrow data-mjx-texclass=\"ORD\"><mtable columnalign=\"right left right left right left right left right left right left\" columnspacing=\"0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em\" displaystyle=\"true\" rowspacing=\"3pt\"><mtr><mtd></mtd><mtd><msub><mi>&#x03F5;</mi><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><msub><mi>i</mi><mrow data-mjx-texclass=\"ORD\"><mn>1</mn></mrow></msub><mo stretchy=\"false\">&#x2026;</mo><msub><mi>i</mi><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></msub></mrow></mrow></msub><mo stretchy=\"false\">&#x2208;</mo><mo fence=\"false\" stretchy=\"false\">{</mo><mo stretchy=\"false\">+</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>,</mo><mo stretchy=\"false\">&#x2212;</mo><mn>1</mn><mo fence=\"false\" stretchy=\"false\">}</mo><mspace width=\"1em\"></mspace><mi mathvariant=\"normal\">&#x2200;</mi><msub><mi>i</mi><mrow data-mjx-texclass=\"ORD\"><mn>1</mn></mrow></msub><mo>,</mo><mo stretchy=\"false\">&#x2026;</mo><mo>,</mo><msub><mi>i</mi><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></msub><mo stretchy=\"false\">&#x2208;</mo><mo fence=\"false\" stretchy=\"false\">{</mo><mn>1</mn><mo>,</mo><mo stretchy=\"false\">&#x2026;</mo><mo>,</mo><mi>n</mi><mo fence=\"false\" stretchy=\"false\">}</mo></mtd></mtr><mtr><mtd></mtd><mtd><mo fence=\"false\" stretchy=\"false\">{</mo><msub><mi>i</mi><mrow data-mjx-texclass=\"ORD\"><mn>1</mn></mrow></msub><mo>,</mo><mo stretchy=\"false\">&#x2026;</mo><mo>,</mo><msub><mi>i</mi><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></msub><mo fence=\"false\" stretchy=\"false\">}</mo><mo stretchy=\"false\">&#x2260;</mo><mo fence=\"false\" stretchy=\"false\">{</mo><mn>1</mn><mo>,</mo><mo stretchy=\"false\">&#x2026;</mo><mo>,</mo><mi>n</mi><mo fence=\"false\" stretchy=\"false\">}</mo><mstyle scriptlevel=\"0\"><mspace width=\"0.278em\"></mspace></mstyle><mo>&#x27F9;</mo><mstyle scriptlevel=\"0\"><mspace width=\"0.278em\"></mspace></mstyle><msub><mi>&#x03F5;</mi><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><msub><mi>i</mi><mrow data-mjx-texclass=\"ORD\"><mn>1</mn></mrow></msub><mo>,</mo><mo stretchy=\"false\">&#x2026;</mo><mo>,</mo><msub><mi>i</mi><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></msub></mrow></mrow></msub><mo stretchy=\"false\">=</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>&#x03F5;</mi><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mn>1</mn><mn>2</mn><mo stretchy=\"false\">&#x2026;</mo><mi>n</mi></mrow></mrow></msub><mo stretchy=\"false\">=</mo><mo stretchy=\"false\">+</mo><mn>1</mn></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>&#x03F5;</mi><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mo stretchy=\"false\">&#x2026;</mo><mi>k</mi><mi>l</mi><mo stretchy=\"false\">&#x2026;</mo></mrow></mrow></msub><mo stretchy=\"false\">=</mo><mo stretchy=\"false\">&#x2212;</mo><msub><mi>&#x03F5;</mi><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mo stretchy=\"false\">&#x2026;</mo><mi>l</mi><mi>k</mi><mo stretchy=\"false\">&#x2026;</mo></mrow></mrow></msub></mtd></mtr></mtable></mrow></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" class=\"mwe-math-element mwe-math-element-inline\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mrow data-mjx-texclass=\"ORD\"><mtable><mtr><mtd class=\"mwe-math-columnalign-r\"></mtd><mtd class=\"mwe-math-columnalign-l\"><msub><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">ε</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><msub><mi>i</mi><mrow data-mjx-texclass=\"ORD\"><mn>1</mn></mrow></msub><mo stretchy=\"false\">…</mo><msub><mi>i</mi><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></msub></mrow></mrow></msub><mo stretchy=\"false\">∈</mo><mo fence=\"false\" stretchy=\"false\">{</mo><mo stretchy=\"false\">+</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>,</mo><mo stretchy=\"false\">−</mo><mn>1</mn><mo fence=\"false\" stretchy=\"false\">}</mo><mspace width=\"1em\"></mspace><mi mathvariant=\"normal\">∀</mi><msub><mi>i</mi><mrow data-mjx-texclass=\"ORD\"><mn>1</mn></mrow></msub><mo>,</mo><mo stretchy=\"false\">…</mo><mo>,</mo><msub><mi>i</mi><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></msub><mo stretchy=\"false\">∈</mo><mo fence=\"false\" stretchy=\"false\">{</mo><mn>1</mn><mo>,</mo><mo stretchy=\"false\">…</mo><mo>,</mo><mi>n</mi><mo fence=\"false\" stretchy=\"false\">}</mo></mtd></mtr><mtr><mtd class=\"mwe-math-columnalign-r\"></mtd><mtd class=\"mwe-math-columnalign-l\"><mo fence=\"false\" stretchy=\"false\">{</mo><msub><mi>i</mi><mrow data-mjx-texclass=\"ORD\"><mn>1</mn></mrow></msub><mo>,</mo><mo stretchy=\"false\">…</mo><mo>,</mo><msub><mi>i</mi><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></msub><mo fence=\"false\" stretchy=\"false\">}</mo><mo stretchy=\"false\">≠</mo><mo fence=\"false\" stretchy=\"false\">{</mo><mn>1</mn><mo>,</mo><mo stretchy=\"false\">…</mo><mo>,</mo><mi>n</mi><mo fence=\"false\" stretchy=\"false\">}</mo><mstyle scriptlevel=\"0\"><mspace width=\"0.278em\"></mspace></mstyle><mo>&#x27F9;</mo><mstyle scriptlevel=\"0\"><mspace width=\"0.278em\"></mspace></mstyle><msub><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">ε</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><msub><mi>i</mi><mrow data-mjx-texclass=\"ORD\"><mn>1</mn></mrow></msub><mo>,</mo><mo stretchy=\"false\">…</mo><mo>,</mo><msub><mi>i</mi><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></msub></mrow></mrow></msub><mo stretchy=\"false\">=</mo><mn>0</mn></mtd></mtr><mtr><mtd class=\"mwe-math-columnalign-r\"></mtd><mtd class=\"mwe-math-columnalign-l\"><msub><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">ε</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mn>12</mn><mo stretchy=\"false\">…</mo><mi>n</mi></mrow></mrow></msub><mo stretchy=\"false\">=</mo><mo stretchy=\"false\">+</mo><mn>1</mn></mtd></mtr><mtr><mtd class=\"mwe-math-columnalign-r\"></mtd><mtd class=\"mwe-math-columnalign-l\"><msub><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">ε</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mo stretchy=\"false\">…</mo><mi>k</mi><mi>l</mi><mo stretchy=\"false\">…</mo></mrow></mrow></msub><mo stretchy=\"false\">=</mo><mo stretchy=\"false\">−</mo><msub><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">ε</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mo stretchy=\"false\">…</mo><mi>l</mi><mi>k</mi><mo stretchy=\"false\">…</mo></mrow></mrow></msub></mtd></mtr></mtable></mrow></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P2812 "PermutationSymbol" ;
    wdt:P31 wd:Q11348 ;
    wdt:P4215 "Levi-Civita symbol" ;
    wdt:P5555 <http://commons.wikimedia.org/wiki/Special:FilePath/Permutation%20indices%203d%20numerical.svg> ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "42164691" ;
    wdt:P646 "/m/01bvm8" ;
    wdt:P7235 "<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>n</mi></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P8885 "레비치비타 기호" .