@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:Q776401 rdfs:label "Функция на Риман (теория на функциите на една реална променлива)"@bg,
        "Funció de Thomae"@ca,
        "Riemannova funkce"@cs,
        "Thomaesche Funktion"@de,
        "Thomae's function"@en,
        "función de Thomae"@es,
        "تابع توما"@fa,
        "fonction de Thomae"@fr,
        "Función de Thomae"@gl,
        "פונקציית רימן"@he,
        "funzione di Thomae"@it,
        "トマエ函数"@ja,
        "토매 함수"@ko,
        "Риманова функција"@mk,
        "တိုမေး ဖန်ရှင်"@my,
        "funkcja Riemanna"@pl,
        "função de Thomae"@pt,
        "Функция Римана (ТФДП)"@ru,
        "Riemannova funkcia"@sk,
        "Thomaes funktion"@sv,
        "Функція Томе"@uk,
        "Thomae函數"@zh,
        "Thomae函數"@zh-cn,
        "Thomae函式"@zh-hant ;
    schema1:dateModified "2026-09-06T10:06:33+00:00"^^xsd:dateTime ;
    schema1:description "mathematische Funktion"@de,
        "function that is discontinuous at rationals and continuous at irrationals"@en,
        "función descontinua nos racionais e continua nos racionais"@gl,
        "פונקציית הסרגל – פונקציה ממשית שקבוצת נקודות אי הרציפות שלה כוללת בדיוק את המספרים הרציונליים"@he,
        "funkcja rzeczywista zmiennej rzeczywistej, definiowana inaczej dla argumentów wymiernych i niewymiernych, znana od XIX wieku"@pl,
        "Модификация функции Дирихле"@ru ;
    schema1:version 2541004710 ;
    wikibase:identifiers 2 ;
    wikibase:sitelinks 20 ;
    wikibase:statements 12 ;
    skos:altLabel "Thomae function"@en,
        "トマエの函数"@ja,
        "トマエ関数"@ja,
        "Функция Thomae"@ru,
        "Thomae函式"@zh,
        "托馬函數"@zh,
        "黎曼函數"@zh ;
    p:P138 wds:q776401-47BA1500-48C9-4D9E-A6AC-6E7BAABFF3A6 ;
    p:P1568 wds:Q776401-d66eea32-4965-d1be-4d96-c032ec8801ef ;
    p:P1571 wds:Q776401-fd76c1dd-49fc-cd2b-b17d-8c645854068e ;
    p:P1889 wds:Q776401-B3741A80-178C-4668-A16C-FB4723921E7E ;
    p:P2534 wds:Q776401-8dcbc213-41c1-ce06-03c0-a96fc65e8cdd ;
    p:P31 wds:Q776401-268d0642-4fd1-e5c2-a6bb-3fa19dd72873,
        wds:Q776401-72994765-46ae-d37a-57d6-7c22bac6873a,
        wds:Q776401-90c42a24-4cc3-c65c-3528-a11d60b517e6 ;
    p:P373 wds:Q776401-50fd3d66-4d1e-21a4-dc18-cab34a2cdc23 ;
    p:P6104 wds:Q776401-58F30912-80DA-4F0B-97DB-F8EDDFCEE9C0 ;
    p:P6366 wds:Q776401-4C4CABC2-B0DA-4AA3-A645-EEFCABAB5824 ;
    p:P646 wds:Q776401-D89E11B3-D84D-4585-955F-156CD6ABA1DA ;
    wdtn:P6366 <https://makg.org/entity/34117566> ;
    wdt:P138 wd:Q87523 ;
    wdt:P1568 wd:Q1174982 ;
    wdt:P1571 wd:Q1987578 ;
    wdt:P1889 wd:Q187235 ;
    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>f</mi><mo stretchy=\"false\">(</mo><mi>x</mi><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">=</mo><mrow data-mjx-texclass=\"ORD\"><mo data-mjx-texclass=\"OPEN\">{</mo><mtable columnspacing=\"1em\" rowspacing=\"4pt\" columnalign=\"left left\"><mtr><mtd><mrow data-mjx-texclass=\"ORD\"><mfrac><mrow data-mjx-texclass=\"ORD\"><mn>1</mn></mrow><mrow data-mjx-texclass=\"ORD\"><mi>q</mi></mrow></mfrac></mrow></mtd><mtd><mrow data-mjx-texclass=\"ORD\"><mtext>if&#xA0;</mtext></mrow><mi>x</mi><mo stretchy=\"false\">=</mo><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"false\" scriptlevel=\"0\"><mrow data-mjx-texclass=\"ORD\"><mfrac><mrow data-mjx-texclass=\"ORD\"><mi>p</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mi>q</mi></mrow></mfrac></mrow></mstyle></mrow><mspace width=\"1em\"></mspace><mo stretchy=\"false\">(</mo><mi>x</mi><mrow data-mjx-texclass=\"ORD\"><mtext>&#xA0;is rational), with&#xA0;</mtext></mrow><mi>p</mi><mo stretchy=\"false\">&#x2208;</mo><mrow data-mjx-texclass=\"ORD\"><mi>ℤ</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mtext>&#xA0;and&#xA0;</mtext></mrow><mi>q</mi><mo stretchy=\"false\">&#x2208;</mo><mrow data-mjx-texclass=\"ORD\"><mi>ℕ</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mtext>&#xA0;coprime</mtext></mrow></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mrow data-mjx-texclass=\"ORD\"><mtext>if&#xA0;</mtext></mrow><mi>x</mi><mrow data-mjx-texclass=\"ORD\"><mtext>&#xA0;is irrational.</mtext></mrow></mtd></mtr></mtable><mo fence=\"true\" stretchy=\"true\" symmetric=\"true\" data-mjx-texclass=\"CLOSE\"></mo></mrow></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P31 wd:Q11348,
        wd:Q184743,
        wd:Q24034552 ;
    wdt:P373 "Thomae's function" ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "34117566" ;
    wdt:P646 "/m/099fsd" .