@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: a skos:ConceptScheme .
psr:-MWBTPGLM-B
  skos:prefLabel "piecewise function"@en, "fonction affine par morceaux"@fr ;
  a skos:Concept ;
  skos:narrower psr:-RF4NVJ4Z-W .

psr:-RF4NVJ4Z-W
  skos:exactMatch <https://en.wikipedia.org/wiki/Ramp_function>, <https://fr.wikipedia.org/wiki/Rampe_(fonction)> ;
  a skos:Concept ;
  dc:modified "2024-10-18"^^xsd:date ;
  skos:inScheme psr: ;
  skos:prefLabel "ramp function"@en, "fonction rampe"@fr ;
  skos:broader psr:-MWBTPGLM-B ;
  skos:definition """La <b>fonction rampe</b> (ou <b>rampe</b>) est la fonction réelle élémentaire définie par :  <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 R:\\\\mathbb {R} \\	o \\\\mathbb {R} ,\\\\quad x\\\\mapsto {\\egin{cases}x&amp;{\\	ext{si }}x\\\\geq 0,\\\\\\\\0&amp;{\\	ext{si }}x<0.\\\\end{cases}}}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <mi>R</mi>         <mo>:</mo>         <mrow class="MJX-TeXAtom-ORD">           <mi mathvariant="double-struck">R</mi>         </mrow>         <mo stretchy="false">→<!-- → --></mo>         <mrow class="MJX-TeXAtom-ORD">           <mi mathvariant="double-struck">R</mi>         </mrow>         <mo>,</mo>         <mspace width="1em"></mspace>         <mi>x</mi>         <mo stretchy="false">↦<!-- ↦ --></mo>         <mrow class="MJX-TeXAtom-ORD">           <mrow>             <mo>{</mo>             <mtable columnalign="left left" rowspacing=".2em" columnspacing="1em" displaystyle="false">               <mtr>                 <mtd>                   <mi>x</mi>                 </mtd>                 <mtd>                   <mrow class="MJX-TeXAtom-ORD">                     <mtext>si </mtext>                   </mrow>                   <mi>x</mi>                   <mo>≥<!-- ≥ --></mo>                   <mn>0</mn>                   <mo>,</mo>                 </mtd>               </mtr>               <mtr>                 <mtd>                   <mn>0</mn>                 </mtd>                 <mtd>                   <mrow class="MJX-TeXAtom-ORD">                     <mtext>si </mtext>                   </mrow>                   <mi>x</mi>                   <mo>&lt;</mo>                   <mn>0.</mn>                 </mtd>               </mtr>             </mtable>             <mo fence="true" stretchy="true" symmetric="true"></mo>           </mrow>         </mrow>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle R:\\\\mathbb {R} \\	o \\\\mathbb {R} ,\\\\quad x\\\\mapsto {\\egin{cases}x&amp;{\\	ext{si }}x\\\\geq 0,\\\\\\\\0&amp;{\\	ext{si }}x&lt;0.\\\\end{cases}}}</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b867ec9ad7085ffb8d69333e0864635db2451e8a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:33.5ex; height:6.176ex;" alt="{\\\\displaystyle R:\\\\mathbb {R} \\	o \\\\mathbb {R} ,\\\\quad x\\\\mapsto {\\egin{cases}x&amp;{\\	ext{si }}x\\\\geq 0,\\\\\\\\0&amp;{\\	ext{si }}x<0.\\\\end{cases}}}"></span></center> Cette fonction trouve son application en ingénierie, par exemple dans la théorie du traitement du signal. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Rampe_(fonction)">https://fr.wikipedia.org/wiki/Rampe_(fonction)</a>)"""@fr, """The ramp function is a unary real function, whose graph is shaped like a ramp. It can be expressed by numerous definitions, for example "0 for negative inputs, output equals input for non-negative inputs". The term "ramp" can also be used for other functions obtained by scaling and shifting, and the function in this article is the unit ramp function (slope 1, starting at 0). 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Ramp_function">https://en.wikipedia.org/wiki/Ramp_function</a>)"""@en .