@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:Q864589 rdfs:label "Derivada de Schwartz"@ca,
        "Schwarzsche Ableitung"@de,
        "Schwarzian derivative"@en,
        "derivo de Schwarz"@eo,
        "dérivée schwarzienne"@fr,
        "シュヴァルツ微分"@ja,
        "슈바르치안"@ko,
        "инвариант Шварца"@ru,
        "Schwarzisk derivata"@sv,
        "Похідна Шварца"@uk,
        "施瓦茨导数"@zh ;
    schema1:dateModified "2026-01-27T23:12:04+00:00"^^xsd:dateTime ;
    schema1:description "Operator, der invariant unter der Möbius-Transformation ist, benannt nach dem deutschen Mathematiker Hermann Schwarz"@de,
        "nonlinear differential operator used to study conformal mappings"@en,
        "nelineara diferenciala operatoro"@eo ;
    schema1:version 2458471916 ;
    wikibase:identifiers 7 ;
    wikibase:sitelinks 6 ;
    wikibase:statements 19 ;
    skos:altLabel "シュワルツ導関数"@ja,
        "シュワルツ微分"@ja,
        "Шварциан"@ru,
        "施瓦茨導數"@zh ;
    p:P10283 wds:Q864589-40424879-1B25-4662-9E64-DCD8068AA4D0 ;
    p:P138 wds:Q864589-4bd85ab3-45df-2682-4b79-aeafcd0091f5 ;
    p:P2534 wds:Q864589-d461324f-4453-5973-ac76-f31fef5e0152 ;
    p:P2812 wds:Q864589-4D9AA443-8759-4903-B628-FFAB0877B3A5 ;
    p:P31 wds:Q864589-84b13bdf-4127-e3af-6ec0-d7dcd07ba515 ;
    p:P4215 wds:Q864589-5F446355-CF4B-4B2E-9D9A-FCB5ECE696F0 ;
    p:P575 wds:Q864589-5b13000b-46a3-3a76-cde2-178b756abf6f ;
    p:P61 wds:Q864589-459a67eb-4270-a0b8-a778-b51a2729221e ;
    p:P6104 wds:Q864589-B92A183B-64EE-42C3-AAC9-0A34764EC0E1 ;
    p:P6366 wds:Q864589-678CCD76-B588-46B5-95FC-544075FF8747 ;
    p:P646 wds:Q864589-7B3F2331-E252-49B2-A884-5716366E7682 ;
    p:P7235 wds:Q864589-49a6b9ae-4d33-1b4a-f82e-4bcda0b030b6,
        wds:Q864589-5bebe8e2-4004-a412-42a2-780ed876e09a,
        wds:Q864589-8406964e-4816-8331-4451-699b9833e366,
        wds:Q864589-9527d111-4862-54a6-5547-2fa327251a7a,
        wds:Q864589-bb3a0aa9-4d15-1d64-bb1d-cb85f2e29ece,
        wds:Q864589-ccbe032e-4712-59ca-d6aa-1a72302e9929 ;
    p:P7554 wds:Q864589-f7cb9e56-46c1-b50f-4d06-b9fc33b91cb3 ;
    p:P7726 wds:Q864589-f5a0a379-4df2-0bcb-1e88-f0212dd57736 ;
    wdtn:P6366 <https://makg.org/entity/39292890> ;
    wdt:P10283 "C39292890" ;
    wdt:P138 wd:Q61223 ;
    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\"><mi>S</mi><mi>f</mi><mo stretchy=\"false\">=</mo><mrow data-mjx-texclass=\"ORD\"><mfrac><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><msup><mi>f</mi><mo>&#x2034;</mo></msup></mrow></mrow><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><msup><mi>f</mi><mo>&#x2032;</mo></msup></mrow></mrow></mfrac></mrow><mo stretchy=\"false\">&#x2212;</mo><mrow data-mjx-texclass=\"ORD\"><mfrac><mrow data-mjx-texclass=\"ORD\"><mn>3</mn></mrow><mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow></mfrac></mrow><msup><mrow data-mjx-texclass=\"INNER\"><mo data-mjx-texclass=\"OPEN\">(</mo><mrow data-mjx-texclass=\"ORD\"><mfrac><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><msup><mi>f</mi><mo>&#x2033;</mo></msup></mrow></mrow><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><msup><mi>f</mi><mo>&#x2032;</mo></msup></mrow></mrow></mfrac></mrow><mo data-mjx-texclass=\"CLOSE\">)</mo></mrow><mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow></msup></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P2812 "SchwarzianDerivative" ;
    wdt:P31 wd:Q131030 ;
    wdt:P4215 "Schwarzian derivative" ;
    wdt:P575 "1781-01-01T00:00:00+00:00"^^xsd:dateTime ;
    wdt:P61 wd:Q80222 ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "39292890" ;
    wdt:P646 "/m/02pkt8" ;
    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\"></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>S</mi></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\"><mrow data-mjx-texclass=\"ORD\"><mfrac><mrow data-mjx-texclass=\"ORD\"><mn>3</mn></mrow><mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow></mfrac></mrow></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\"><msup> <mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow></msup></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P7554 "Schwarzian_derivative" ;
    wdt:P7726 "SchwarzianDerivative" .