@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:-NRD8QJ7H-Z
  a skos:Concept ;
  skos:definition """La fonction porte, généralement notée Π, est la fonction indicatrice de l'intervalle réel [–1/2, 1/2], c'est-à-dire la fonction mathématique par laquelle un nombre réel a une image nulle, sauf s'il est compris entre –1/2 et 1/2, auquel cas son image vaut 1. Son graphe a une forme similaire à celle d'une porte, d'où son nom. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Fonction_porte">https://fr.wikipedia.org/wiki/Fonction_porte</a>)"""@fr, """The <b>rectangular function</b> (also known as the <b>rectangle function</b>, <b>rect function</b>, <b>Pi function</b>, <b>Heaviside Pi function</b>, <b>gate function</b>, <b>unit pulse</b>, or the <b>normalized boxcar function</b>) is defined as <div class="mwe-math-element"><div class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"><math display="block" xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle \\\\operatorname {rect} \\\\left({\\rac {t}{a}}\\
ight)=\\\\Pi \\\\left({\\rac {t}{a}}\\
ight)=\\\\left\\\\{{\\egin{array}{rl}0,&amp;{\\	ext{if }}|t|>{\\rac {a}{2}}\\\\\\\\{\\rac {1}{2}},&amp;{\\	ext{if }}|t|={\\rac {a}{2}}\\\\\\\\1,&amp;{\\	ext{if }}|t|<{\\rac {a}{2}}.\\\\end{array}}\\
ight.}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <mi>rect</mi>         <mo>⁡<!-- ⁡ --></mo>         <mrow>           <mo>(</mo>           <mrow class="MJX-TeXAtom-ORD">             <mfrac>               <mi>t</mi>               <mi>a</mi>             </mfrac>           </mrow>           <mo>)</mo>         </mrow>         <mo>=</mo>         <mi mathvariant="normal">Π<!-- Π --></mi>         <mrow>           <mo>(</mo>           <mrow class="MJX-TeXAtom-ORD">             <mfrac>               <mi>t</mi>               <mi>a</mi>             </mfrac>           </mrow>           <mo>)</mo>         </mrow>         <mo>=</mo>         <mrow>           <mo>{</mo>           <mrow class="MJX-TeXAtom-ORD">             <mtable columnalign="right left" rowspacing="4pt" columnspacing="1em">               <mtr>                 <mtd>                   <mn>0</mn>                   <mo>,</mo>                 </mtd>                 <mtd>                   <mrow class="MJX-TeXAtom-ORD">                     <mtext>if </mtext>                   </mrow>                   <mrow class="MJX-TeXAtom-ORD">                     <mo stretchy="false">|</mo>                   </mrow>                   <mi>t</mi>                   <mrow class="MJX-TeXAtom-ORD">                     <mo stretchy="false">|</mo>                   </mrow>                   <mo>&gt;</mo>                   <mrow class="MJX-TeXAtom-ORD">                     <mfrac>                       <mi>a</mi>                       <mn>2</mn>                     </mfrac>                   </mrow>                 </mtd>               </mtr>               <mtr>                 <mtd>                   <mrow class="MJX-TeXAtom-ORD">                     <mfrac>                       <mn>1</mn>                       <mn>2</mn>                     </mfrac>                   </mrow>                   <mo>,</mo>                 </mtd>                 <mtd>                   <mrow class="MJX-TeXAtom-ORD">                     <mtext>if </mtext>                   </mrow>                   <mrow class="MJX-TeXAtom-ORD">                     <mo stretchy="false">|</mo>                   </mrow>                   <mi>t</mi>                   <mrow class="MJX-TeXAtom-ORD">                     <mo stretchy="false">|</mo>                   </mrow>                   <mo>=</mo>                   <mrow class="MJX-TeXAtom-ORD">                     <mfrac>                       <mi>a</mi>                       <mn>2</mn>                     </mfrac>                   </mrow>                 </mtd>               </mtr>               <mtr>                 <mtd>                   <mn>1</mn>                   <mo>,</mo>                 </mtd>                 <mtd>                   <mrow class="MJX-TeXAtom-ORD">                     <mtext>if </mtext>                   </mrow>                   <mrow class="MJX-TeXAtom-ORD">                     <mo stretchy="false">|</mo>                   </mrow>                   <mi>t</mi>                   <mrow class="MJX-TeXAtom-ORD">                     <mo stretchy="false">|</mo>                   </mrow>                   <mo>&lt;</mo>                   <mrow class="MJX-TeXAtom-ORD">                     <mfrac>                       <mi>a</mi>                       <mn>2</mn>                     </mfrac>                   </mrow>                   <mo>.</mo>                 </mtd>               </mtr>             </mtable>           </mrow>           <mo fence="true" stretchy="true" symmetric="true"></mo>         </mrow>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle \\\\operatorname {rect} \\\\left({\\rac {t}{a}}\\
ight)=\\\\Pi \\\\left({\\rac {t}{a}}\\
ight)=\\\\left\\\\{{\\egin{array}{rl}0,&amp;{\\	ext{if }}|t|&gt;{\\rac {a}{2}}\\\\\\\\{\\rac {1}{2}},&amp;{\\	ext{if }}|t|={\\rac {a}{2}}\\\\\\\\1,&amp;{\\	ext{if }}|t|&lt;{\\rac {a}{2}}.\\\\end{array}}\\
ight.}</annotation>   </semantics> </math></div><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c599ba4136e71e4f1a6703ee97f98d0fb2b3aaec" class="mwe-math-fallback-image-display mw-invert" aria-hidden="true" style="vertical-align: -5.005ex; width:40.151ex; height:11.176ex;" alt="{\\\\displaystyle \\\\operatorname {rect} \\\\left({\\rac {t}{a}}\\
ight)=\\\\Pi \\\\left({\\rac {t}{a}}\\
ight)=\\\\left\\\\{{\\egin{array}{rl}0,&amp;{\\	ext{if }}|t|>{\\rac {a}{2}}\\\\\\\\{\\rac {1}{2}},&amp;{\\	ext{if }}|t|={\\rac {a}{2}}\\\\\\\\1,&amp;{\\	ext{if }}|t|<{\\rac {a}{2}}.\\\\end{array}}\\
ight.}"></div>  
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Rectangular_function">https://en.wikipedia.org/wiki/Rectangular_function</a>)"""@en ;
  skos:exactMatch <https://fr.wikipedia.org/wiki/Fonction_porte>, <https://en.wikipedia.org/wiki/Rectangular_function> ;
  skos:altLabel "fonction porte"@fr, "gate function"@en, "rectangle function"@en, "Pi function"@en, "rect function"@en ;
  dc:modified "2024-10-18"^^xsd:date ;
  skos:inScheme psr: ;
  skos:prefLabel "rectangular function"@en, "fonction rectangle"@fr ;
  skos:broader psr:-MWBTPGLM-B .

psr:-MWBTPGLM-B
  skos:prefLabel "piecewise function"@en, "fonction affine par morceaux"@fr ;
  a skos:Concept ;
  skos:narrower psr:-NRD8QJ7H-Z .

psr: a skos:ConceptScheme .