@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:-GKWK9C3G-P
  skos:prefLabel "géométrie euclidienne"@fr, "Euclidean geometry"@en ;
  a skos:Concept ;
  skos:narrower psr:-PM8GQ0FC-8 .

psr:-S0STN89F-1
  skos:prefLabel "Diophantine geometry"@en, "géométrie diophantienne"@fr ;
  a skos:Concept ;
  skos:narrower psr:-PM8GQ0FC-8 .

psr:-PM8GQ0FC-8
  skos:prefLabel "réseau d'entiers"@fr, "integer lattice"@en ;
  skos:broader psr:-GKWK9C3G-P, psr:-S0STN89F-1 ;
  a skos:Concept ;
  skos:definition """In mathematics, the <span class="texhtml mvar" style="font-style:italic;">n</span>-dimensional <b>integer lattice</b> (or <b>cubic lattice</b>), denoted <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 \\\\mathbb {Z} ^{n}}">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <msup>
         <mrow class="MJX-TeXAtom-ORD">
         <mi mathvariant="double-struck">Z</mi>
         </mrow>
         <mrow class="MJX-TeXAtom-ORD">
         <mi>n</mi>
         </mrow>
         </msup>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle \\\\mathbb {Z} ^{n}}</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a9b5de7ced4588982b574fe19894aec6a3ca4c49" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.769ex; height:2.343ex;" alt="\\\\mathbb {Z} ^{n}"></span>, is the lattice in the Euclidean space <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 \\\\mathbb {R} ^{n}}">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <msup>
         <mrow class="MJX-TeXAtom-ORD">
         <mi mathvariant="double-struck">R</mi>
         </mrow>
         <mrow class="MJX-TeXAtom-ORD">
         <mi>n</mi>
         </mrow>
         </msup>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle \\\\mathbb {R} ^{n}}</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c510b63578322050121fe966f2e5770bea43308d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.897ex; height:2.343ex;" alt="\\\\mathbb {R} ^{n}"></span> whose lattice points are <span class="texhtml mvar" style="font-style:italic;">n</span>-tuples of integers. The two-dimensional integer lattice is also called the square lattice, or grid lattice. <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 \\\\mathbb {Z} ^{n}}">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <msup>
         <mrow class="MJX-TeXAtom-ORD">
         <mi mathvariant="double-struck">Z</mi>
         </mrow>
         <mrow class="MJX-TeXAtom-ORD">
         <mi>n</mi>
         </mrow>
         </msup>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle \\\\mathbb {Z} ^{n}}</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a9b5de7ced4588982b574fe19894aec6a3ca4c49" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.769ex; height:2.343ex;" alt="\\\\mathbb {Z} ^{n}"></span> is the simplest example of a root lattice. The integer lattice is an odd unimodular lattice.
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Integer_lattice">https://en.wikipedia.org/wiki/Integer_lattice</a>)"""@en ;
  skos:altLabel "cubic lattice"@en ;
  skos:inScheme psr: ;
  dc:created "2023-08-24"^^xsd:date ;
  dc:modified "2023-08-24"^^xsd:date ;
  skos:exactMatch <https://en.wikipedia.org/wiki/Integer_lattice> .