@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:-JBW28PVH-R
  skos:exactMatch <https://en.wikipedia.org/wiki/Common_logarithm>, <https://fr.wikipedia.org/wiki/Logarithme_d%C3%A9cimal> ;
  skos:broader psr:-FZDLXCSS-T ;
  skos:definition """In mathematics, the <b>common logarithm</b> is the logarithm with base 10. It is also known as the <b>decadic logarithm</b> and as the <b>decimal logarithm</b>, named after its base, or <b>Briggsian logarithm</b>, after Henry Briggs, an English mathematician who pioneered its use, as well as <b>standard logarithm</b>. Historically, it was known as <i>logarithmus decimalis</i> or <i>logarithmus decadis</i>. It is indicated by <span class="texhtml">log(<i>x</i>)</span>, <span class="texhtml">log<sub>10</sub>(<i>x</i>)</span>, or sometimes <span class="texhtml">Log(<i>x</i>)</span> with a capital <span class="texhtml">L</span>; on calculators, it is printed as "log", but mathematicians usually mean natural logarithm (logarithm with base e ≈ 2.71828) rather than common logarithm when writing "log". To mitigate this ambiguity, the ISO 80000 specification recommends that <span class="texhtml">log<sub>10</sub>(<i>x</i>)</span> should be written <span class="texhtml">lg(<i>x</i>)</span>, and <span class="texhtml">log<sub><i>e</i></sub>(<i>x</i>)</span> should be <span class="texhtml">ln(<i>x</i>)</span>.  
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Common_logarithm">https://en.wikipedia.org/wiki/Common_logarithm</a>)"""@en, """Le <b>logarithme décimal</b> ou <b>log<sub>10</sub></b> ou simplement <b>log</b> (parfois appelé <b>logarithme vulgaire</b>) est le logarithme de base dix. Il est défini pour tout réel strictement positif <i>x</i>. Le logarithme décimal est la fonction continue qui transforme un produit en somme et qui vaut 1 en 10. Le logarithme décimal est la fonction réciproque de la fonction <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 f(x)=10^{x}}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <mi>f</mi>         <mo stretchy="false">(</mo>         <mi>x</mi>         <mo stretchy="false">)</mo>         <mo>=</mo>         <msup>           <mn>10</mn>           <mrow class="MJX-TeXAtom-ORD">             <mi>x</mi>           </mrow>         </msup>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle f(x)=10^{x}}</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/aba6d31a7420b6c2316c2cad76675b9a22c06d84" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:11.013ex; height:2.843ex;" alt="{\\\\displaystyle f(x)=10^{x}}"></span> : <span style="display: block; margin-left:1.6em;">pour <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 x>0}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <mi>x</mi>         <mo>&gt;</mo>         <mn>0</mn>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle x&gt;0}</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/80d24be5f0eb4a9173da6038badc8659546021d0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.591ex; height:2.176ex;" alt="{\\\\displaystyle x>0}"></span>, si <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 y=\\\\log _{10}(x)}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <mi>y</mi>         <mo>=</mo>         <msub>           <mi>log</mi>           <mrow class="MJX-TeXAtom-ORD">             <mn>10</mn>           </mrow>         </msub>         <mo>⁡<!-- ⁡ --></mo>         <mo stretchy="false">(</mo>         <mi>x</mi>         <mo stretchy="false">)</mo>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle y=\\\\log _{10}(x)}</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dc905503c28162278e6adba2ab70468f9551ad19" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:12.241ex; height:2.843ex;" alt="{\\\\displaystyle y=\\\\log _{10}(x)}"></span> alors <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 x=10^{y}}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <mi>x</mi>         <mo>=</mo>         <msup>           <mn>10</mn>           <mrow class="MJX-TeXAtom-ORD">             <mi>y</mi>           </mrow>         </msup>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle x=10^{y}}</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7bc54a617a4377ac2bd96a6ed69a33dd1a125ef2" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.802ex; height:2.343ex;" alt="{\\\\displaystyle x=10^{y}}"></span>.</span> La norme ISO 80000-2</span> indique que log<sub>10</sub> devrait être noté <b>lg</b>, mais cette notation est rarement utilisée.  
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Logarithme_d%C3%A9cimal">https://fr.wikipedia.org/wiki/Logarithme_d%C3%A9cimal</a>)"""@fr ;
  skos:altLabel "decimal logarithm"@en ;
  skos:prefLabel "logarithme décimal"@fr, "common logarithm"@en ;
  dc:modified "2024-10-18"^^xsd:date ;
  a skos:Concept ;
  skos:inScheme psr: .

psr:-FZDLXCSS-T
  skos:prefLabel "logarithme"@fr, "logarithm"@en ;
  a skos:Concept ;
  skos:narrower psr:-JBW28PVH-R .