@prefix psr: <http://data.loterre.fr/ark:/67375/PSR> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix dc: <http://purl.org/dc/terms/> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

psr:-TW914C47-B
  skos:prefLabel "incomplete gamma function"@en, "fonction gamma incomplète"@fr ;
  a skos:Concept ;
  skos:broader psr:-R9K39R4D-P .

psr:-RRLTWFQ1-X
  skos:prefLabel "fraction continue de Gauss"@fr, "Gauss's continued fraction"@en ;
  a skos:Concept ;
  skos:broader psr:-R9K39R4D-P .

psr:-JCS61B2Z-T
  skos:prefLabel "fonction point d'interrogation"@fr, "Minkowski's question-mark function"@en ;
  a skos:Concept ;
  skos:broader psr:-R9K39R4D-P .

psr:-SKTRS1V0-R
  skos:prefLabel "real analysis"@en, "analyse réelle"@fr ;
  a skos:Concept ;
  skos:narrower psr:-R9K39R4D-P .

psr:-HVMHT7QM-W
  skos:prefLabel "Gauss-Kuzmin distribution"@en, "loi de Gauss-Kuzmin"@fr ;
  a skos:Concept ;
  skos:broader psr:-R9K39R4D-P .

psr:-N58DMHQC-M
  skos:prefLabel "Gauss-Kuzmin-Wirsing operator"@en, "opérateur de Gauss-Kuzmin-Wirsing"@fr ;
  a skos:Concept ;
  skos:broader psr:-R9K39R4D-P .

psr:-R9K39R4D-P
  skos:definition """In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then writing this other number as the sum of its integer part and another reciprocal, and so on. In a finite continued fraction (or terminated continued fraction), the iteration/recursion is terminated after finitely many steps by using an integer in lieu of another continued fraction. In contrast, an infinite continued fraction is an infinite expression. In either case, all integers in the sequence, other than the first, must be positive. The integers <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle a_{i}}">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <msub>
         <mi>a</mi>
         <mrow class="MJX-TeXAtom-ORD">
         <mi>i</mi>
         </mrow>
         </msub>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle a_{i}}</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0bc77764b2e74e64a63341054fa90f3e07db275f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.029ex; height:2.009ex;" alt="a_{i}"></span> are called the coefficients or terms of the continued fraction. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Continued_fraction">https://en.wikipedia.org/wiki/Continued_fraction</a>)"""@en, """En mathématiques, une <b>fraction continue</b> ou <b>fraction continue simple</b> ou plus rarement <b>fraction continuée</b> est une expression de la forme&nbsp;:
<br/>
<br/><center><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle a_{0}+{\\\\cfrac {1}{a_{1}+{\\\\cfrac {1}{a_{2}+{\\\\cfrac {1}{a_{3}+\\\\dots }}}}}}}">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <msub>
<br/>          <mi>a</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>0</mn>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo>+</mo>
<br/>        <mrow class="MJX-TeXAtom-ORD">
<br/>          <mfrac>
<br/>            <mrow>
<br/>              <mpadded width="0" height="8.6pt" depth="3pt">
<br/>                <mrow></mrow>
<br/>              </mpadded>
<br/>              <mstyle displaystyle="false" scriptlevel="0">
<br/>                <mrow class="MJX-TeXAtom-ORD">
<br/>                  <mn>1</mn>
<br/>                </mrow>
<br/>              </mstyle>
<br/>            </mrow>
<br/>            <mrow>
<br/>              <mpadded width="0" height="8.6pt" depth="3pt">
<br/>                <mrow></mrow>
<br/>              </mpadded>
<br/>              <mstyle displaystyle="false" scriptlevel="0">
<br/>                <mrow class="MJX-TeXAtom-ORD">
<br/>                  <msub>
<br/>                    <mi>a</mi>
<br/>                    <mrow class="MJX-TeXAtom-ORD">
<br/>                      <mn>1</mn>
<br/>                    </mrow>
<br/>                  </msub>
<br/>                  <mo>+</mo>
<br/>                  <mrow class="MJX-TeXAtom-ORD">
<br/>                    <mfrac>
<br/>                      <mrow>
<br/>                        <mpadded width="0" height="8.6pt" depth="3pt">
<br/>                          <mrow></mrow>
<br/>                        </mpadded>
<br/>                        <mstyle displaystyle="false" scriptlevel="0">
<br/>                          <mrow class="MJX-TeXAtom-ORD">
<br/>                            <mn>1</mn>
<br/>                          </mrow>
<br/>                        </mstyle>
<br/>                      </mrow>
<br/>                      <mrow>
<br/>                        <mpadded width="0" height="8.6pt" depth="3pt">
<br/>                          <mrow></mrow>
<br/>                        </mpadded>
<br/>                        <mstyle displaystyle="false" scriptlevel="0">
<br/>                          <mrow class="MJX-TeXAtom-ORD">
<br/>                            <msub>
<br/>                              <mi>a</mi>
<br/>                              <mrow class="MJX-TeXAtom-ORD">
<br/>                                <mn>2</mn>
<br/>                              </mrow>
<br/>                            </msub>
<br/>                            <mo>+</mo>
<br/>                            <mrow class="MJX-TeXAtom-ORD">
<br/>                              <mfrac>
<br/>                                <mrow>
<br/>                                  <mpadded width="0" height="8.6pt" depth="3pt">
<br/>                                    <mrow></mrow>
<br/>                                  </mpadded>
<br/>                                  <mstyle displaystyle="false" scriptlevel="0">
<br/>                                    <mrow class="MJX-TeXAtom-ORD">
<br/>                                      <mn>1</mn>
<br/>                                    </mrow>
<br/>                                  </mstyle>
<br/>                                </mrow>
<br/>                                <mrow>
<br/>                                  <mpadded width="0" height="8.6pt" depth="3pt">
<br/>                                    <mrow></mrow>
<br/>                                  </mpadded>
<br/>                                  <mstyle displaystyle="false" scriptlevel="0">
<br/>                                    <mrow class="MJX-TeXAtom-ORD">
<br/>                                      <msub>
<br/>                                        <mi>a</mi>
<br/>                                        <mrow class="MJX-TeXAtom-ORD">
<br/>                                          <mn>3</mn>
<br/>                                        </mrow>
<br/>                                      </msub>
<br/>                                      <mo>+</mo>
<br/>                                      <mo>…<!-- … --></mo>
<br/>                                    </mrow>
<br/>                                  </mstyle>
<br/>                                </mrow>
<br/>                              </mfrac>
<br/>                            </mrow>
<br/>                          </mrow>
<br/>                        </mstyle>
<br/>                      </mrow>
<br/>                    </mfrac>
<br/>                  </mrow>
<br/>                </mrow>
<br/>              </mstyle>
<br/>            </mrow>
<br/>          </mfrac>
<br/>        </mrow>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle a_{0}+{\\\\cfrac {1}{a_{1}+{\\\\cfrac {1}{a_{2}+{\\\\cfrac {1}{a_{3}+\\\\dots }}}}}}}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fc5a2b7da493c69e8d9c28c62f0f9ee96d75685f" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -10.171ex; width:25.729ex; height:14.343ex;" alt="{\\\\displaystyle a_{0}+{\\\\cfrac {1}{a_{1}+{\\\\cfrac {1}{a_{2}+{\\\\cfrac {1}{a_{3}+\\\\dots }}}}}}}"></span></center>
<br/>comportant un nombre fini ou infini d'étages.
<br/>On montre qu'on peut «&nbsp;représenter&nbsp;» —&nbsp;en un sens qui sera précisé&nbsp;— tout nombre réel sous forme d'une fraction continue, finie ou infinie, dans laquelle <i>a</i><sub>0</sub> est un entier relatif et les autres <i>a<sub>j</sub></i> sont des entiers strictement positifs. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Fraction_continue">https://fr.wikipedia.org/wiki/Fraction_continue</a>)"""@fr ;
  skos:narrower psr:-PF6HSX96-G, psr:-HVMHT7QM-W, psr:-TW914C47-B, psr:-N58DMHQC-M, psr:-JCS61B2Z-T, psr:-RRLTWFQ1-X ;
  a skos:Concept ;
  skos:altLabel "fraction continue simple"@fr ;
  skos:broader psr:-QHVZG9C1-5, psr:-SKTRS1V0-R ;
  dc:modified "2023-07-27"^^xsd:date ;
  skos:exactMatch <https://fr.wikipedia.org/wiki/Fraction_continue>, <https://en.wikipedia.org/wiki/Continued_fraction> ;
  skos:prefLabel "fraction continue"@fr, "continued fraction"@en ;
  dc:created "2023-07-27"^^xsd:date ;
  skos:inScheme psr: .

psr: a skos:ConceptScheme .
psr:-QHVZG9C1-5
  skos:prefLabel "fraction"@fr, "fraction"@en ;
  a skos:Concept ;
  skos:narrower psr:-R9K39R4D-P .

psr:-PF6HSX96-G
  skos:prefLabel "Lévy's constant"@en, "constante de Lévy"@fr ;
  a skos:Concept ;
  skos:broader psr:-R9K39R4D-P .