@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:Q3138738 rdfs:label "Jerarquia de Löb-Wainer"@ca,
        "Fast Growing Hierarchy"@de,
        "fast-growing hierarchy"@en,
        "rapide kreskanta hierarkio"@eo,
        "hiérarchie de croissance rapide"@fr,
        "急増加関数"@ja,
        "Szybko Rosnąca Hierarchia"@pl,
        "Hierarquia de crescimento rápido"@pt,
        "Быстрорастущая иерархия"@ru,
        "急成长阶层"@zh ;
    schema1:dateModified "2026-11-02T05:09:23+00:00"^^xsd:dateTime ;
    schema1:description "família de funcions ràpidament creixents"@ca,
        "Klassifikation der Wachstumsraten von Funktionen"@de,
        "ordinal-indexed family of rapidly increasing functions: ℕ→ℕ"@en ;
    schema1:version 2563736742 ;
    wikibase:identifiers 4 ;
    wikibase:sitelinks 8 ;
    wikibase:statements 8 ;
    skos:altLabel "Löb–Wainer hierarchy"@en,
        "Wainer hierarchy"@en,
        "extended Grzegorczyk hierarchy"@en,
        "Rozszerzona Hierarchia Grzegorczyka"@pl ;
    p:P227 wds:Q3138738-5CB0EF27-CD64-446B-9938-9626CE141053 ;
    p:P2534 wds:Q3138738-969a84b1-475d-d01f-20f2-6399b12acec3 ;
    p:P31 wds:Q3138738-1a742938-4341-994a-6a90-65c4ac5103d0 ;
    p:P6104 wds:Q3138738-C9591998-1568-4A91-9CE5-E020851577F9 ;
    p:P6366 wds:Q3138738-C05F00B6-FEB3-40D7-A024-13F0755EF705 ;
    p:P646 wds:Q3138738-B36BEE5C-D6DD-45F9-8EBA-1BEFED5E0C7E ;
    p:P7235 wds:Q3138738-065cdf31-4740-eb6c-d9e1-9709fba6a34e ;
    p:P8885 wds:Q3138738-f68659da-44cc-70c7-5a2c-e4555db77c1f ;
    wdtn:P227 <https://d-nb.info/gnd/1047417197> ;
    wdtn:P6366 <https://makg.org/entity/97177508> ;
    wdt:P227 "1047417197" ;
    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><msub><mi>f</mi><mrow data-mjx-texclass=\"ORD\"><mn>0</mn></mrow></msub><mo stretchy=\"false\">(</mo><mi>n</mi><mo stretchy=\"false\">)</mo></mtd><mtd><mo stretchy=\"false\">=</mo><mi>n</mi><mo stretchy=\"false\">+</mo><mn>1</mn></mtd></mtr><mtr><mtd><msub><mi>f</mi><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>&#x03B1;</mi><mo stretchy=\"false\">+</mo><mn>1</mn></mrow></mrow></msub><mo stretchy=\"false\">(</mo><mi>n</mi><mo stretchy=\"false\">)</mo></mtd><mtd><mo stretchy=\"false\">=</mo><msubsup><mi>f</mi><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mi>&#x03B1;</mi></mrow></msubsup><mo stretchy=\"false\">(</mo><mi>n</mi><mo stretchy=\"false\">)</mo></mtd></mtr><mtr><mtd><msub><mi>f</mi><mrow data-mjx-texclass=\"ORD\"><mi>&#x03B1;</mi></mrow></msub><mo stretchy=\"false\">(</mo><mi>n</mi><mo stretchy=\"false\">)</mo></mtd><mtd><mo stretchy=\"false\">=</mo><msub><mi>f</mi><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>&#x03B1;</mi><mo stretchy=\"false\">[</mo><mi>n</mi><mo stretchy=\"false\">]</mo></mrow></mrow></msub><mo stretchy=\"false\">(</mo><mi>n</mi><mo stretchy=\"false\">)</mo><mspace width=\"2em\"></mspace><mo stretchy=\"false\">(</mo><mi>&#x2204;</mi><mi>&#x03B2;</mi><mo stretchy=\"false\">&#x003A;</mo><mi>&#x03B1;</mi><mo stretchy=\"false\">=</mo><mi>&#x03B2;</mi><mo stretchy=\"false\">+</mo><mn>1</mn><mo stretchy=\"false\">)</mo></mtd></mtr></mtable></mrow></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P31 wd:Q24034552 ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "97177508" ;
    wdt:P646 "/m/09g844z" ;
    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\"><msub><mi>f</mi><mrow data-mjx-texclass=\"ORD\"><mn>0</mn></mrow></msub><mo stretchy=\"false\">(</mo><mi>n</mi><mo stretchy=\"false\">)</mo></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P8885 "Fast-growing hierarchy" .