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class="nav-link" href="/sparql/" title="Switch to /sparql endpoint"> Sparql Endpoint </a> </li> </ul> </div> </div> </nav> <div style="margin-bottom: 60px"></div>   <section> <div class="container-xl"> <div class="row"> <div class="col"> <h1 id="title" class="display-6">About: <a href="http://dbpedia.org/resource/Distribution_(differential_geometry)">Distribution (differential geometry)</a> </h1> </div> </div> <div class="row"> <div class="col"> <div class="text-muted"> An Entity of Type: <a href="http://dbpedia.org/ontology/ProgrammingLanguage">programming language</a>, from Named Graph: <a href="http://dbpedia.org">http://dbpedia.org</a>, within Data Space: <a href="http://dbpedia.org">dbpedia.org</a> </div> </div> </div> <div class="row pt-2"> <div class="col-xs-9 col-sm-10"> In differential geometry, a discipline within mathematics, a distribution on a manifold is an assignment of vector subspaces satisfying certain properties. In the most common situations, a distribution is asked to be a vector subbundle of the tangent bundle . Distributions satisfying a further integrability condition give rise to foliations, i.e. partitions of the manifold into smaller submanifolds. These notions have several applications in many fields of mathematics, e.g. integrable systems, Poisson geometry, non-commutative geometry, sub-Riemannian geometry, differential topology, etc. </div> </div> </div> </section>   <section> <div class="container-xl"> <div class="row"> <div class="table-responsive"> <table class="table table-hover table-sm table-light"> <thead> <tr> <th class="col-xs-3 ">Property</th> <th class="col-xs-9 px-3">Value</th> </tr> </thead> <tbody> <tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/abstract">dbo:abstract</a> </td><td class="col-10 text-break"><ul> <li style="display:none;">V diferenci谩ln铆 geometrii se zav谩d臎j铆 jist谩 zobrazen铆, kter谩 zobrazuj铆 z diferencovateln茅 variety do jej铆ch te膷n媒ch prostor暖. Ka啪d茅mu bodu variety je specifick媒m zp暖sobem p艡i艡azen vektorov媒 prostor, kter媒 je podprostorem te膷n茅ho prostoru v dan茅m bod臎 variety. Takov媒mto zobrazen铆m se 艡铆k谩 distribuce. Navzdory sv茅mu n谩zvu nemaj铆 nic spole膷n茅ho s distribucemi alias zobecn臎n媒mi funkcemi zn谩m媒mi z matematick茅 anal媒zy. (cs)</li> <li>In differential geometry, a discipline within mathematics, a distribution on a manifold is an assignment of vector subspaces satisfying certain properties. In the most common situations, a distribution is asked to be a vector subbundle of the tangent bundle . Distributions satisfying a further integrability condition give rise to foliations, i.e. partitions of the manifold into smaller submanifolds. These notions have several applications in many fields of mathematics, e.g. integrable systems, Poisson geometry, non-commutative geometry, sub-Riemannian geometry, differential topology, etc. Even though they share the same name, distributions presented in this article have nothing to do with distributions in the sense of analysis. (en)</li> <li style="display:none;">袪芯蟹锌芯写褨谢芯屑薪邪屑薪芯谐芯胁懈写褨薪邪蟹懈胁邪褦褌褜褋褟锌褨写褉芯蟹褕邪褉褍胁邪薪薪褟写芯褌懈褔薪芯谐芯褉芯蟹褕邪褉褍胁邪薪薪褟屑薪芯谐芯胁懈写褍.袉薪褕懈屑懈褋谢芯胁邪屑懈, 褍泻芯卸薪褨泄褌芯褔褑褨胁懈斜褉邪薪懈泄谢褨薪褨泄薪懈泄锌褨写锌褉芯褋褌褨褉写芯褌懈褔薪芯谐芯锌褉芯褋褌芯褉褍褖芯谐谢邪写泻芯蟹邪谢械卸懈褌褜胁褨写褌芯褔泻懈 . 袪芯蟹锌芯写褨谢懈胁懈泻芯褉懈褋褌芯胁褍褞褌褜褋褟褍褌械芯褉褨褩褨薪褌械谐褉芯胁薪芯褋褌褨褨胁褌械芯褉褨褩褕邪褉褍胁邪薪褜薪邪屑薪芯谐芯胁懈写邪褏. (uk)</li> <li style="display:none;">袪邪褋锌褉械写械谢械薪懈械屑薪邪屑薪芯谐芯芯斜褉邪蟹懈懈薪邪蟹褘胁邪械褌褋褟锌芯写褉邪褋褋谢芯械薪懈械泻邪褋邪褌械谢褜薪芯谐芯褉邪褋褋谢芯械薪懈褟屑薪芯谐芯芯斜褉邪蟹懈褟.袛褉褍谐懈屑懈褋谢芯胁邪屑懈, 胁泻邪卸写芯泄褌芯褔泻械胁褘斜褉邪薪芯谢懈薪械泄薪芯械锌芯写锌褉芯褋褌褉邪薪褋褌胁芯泻邪褋邪褌械谢褜薪芯谐芯锌褉芯褋褌褉邪薪褋褌胁邪泻芯褌芯褉芯械谐谢邪写泻芯蟹邪胁懈褋懈褌芯褌褌芯褔泻懈 . 袪邪褋锌褉械写械谢械薪懈褟懈褋锌芯谢褜蟹褍褞褌褋褟胁褌械芯褉懈懈懈薪褌械谐褉懈褉褍械屑芯褋褌懈懈胁褌械芯褉懈懈褋谢芯械薪懈泄薪邪屑薪芯谐芯芯斜褉邪蟹懈懈. (ru)</li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/wikiPageExternalLink">dbo:wikiPageExternalLink</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="dbo:wikiPageExternalLink nofollow" resource="https://www.uc.pt/fctuc/dmat/seccoes/publicacoes/textosDeMatematica" href="https://www.uc.pt/fctuc/dmat/seccoes/publicacoes/textosDeMatematica">https://www.uc.pt/fctuc/dmat/seccoes/publicacoes/textosDeMatematica</a></li> <li><a class="uri" rel="dbo:wikiPageExternalLink nofollow" resource="https://link.springer.com/book/10.1007/978-1-4419-9982-5" href="https://link.springer.com/book/10.1007/978-1-4419-9982-5">https://link.springer.com/book/10.1007/978-1-4419-9982-5</a></li> <li><a class="uri" rel="dbo:wikiPageExternalLink nofollow" resource="https://www.ams.org/books/surv/091/" href="https://www.ams.org/books/surv/091/">https://www.ams.org/books/surv/091/</a></li> <li><a class="uri" rel="dbo:wikiPageExternalLink nofollow" 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href="http://www.w3.org/2000/01/rdf-schema#comment">rdfs:comment</a> </td><td class="col-10 text-break"><ul> <li style="display:none;">V diferenci谩ln铆 geometrii se zav谩d臎j铆 jist谩 zobrazen铆, kter谩 zobrazuj铆 z diferencovateln茅 variety do jej铆ch te膷n媒ch prostor暖. Ka啪d茅mu bodu variety je specifick媒m zp暖sobem p艡i艡azen vektorov媒 prostor, kter媒 je podprostorem te膷n茅ho prostoru v dan茅m bod臎 variety. Takov媒mto zobrazen铆m se 艡铆k谩 distribuce. Navzdory sv茅mu n谩zvu nemaj铆 nic spole膷n茅ho s distribucemi alias zobecn臎n媒mi funkcemi zn谩m媒mi z matematick茅 anal媒zy. (cs)</li> <li style="display:none;">袪芯蟹锌芯写褨谢芯屑薪邪屑薪芯谐芯胁懈写褨薪邪蟹懈胁邪褦褌褜褋褟锌褨写褉芯蟹褕邪褉褍胁邪薪薪褟写芯褌懈褔薪芯谐芯褉芯蟹褕邪褉褍胁邪薪薪褟屑薪芯谐芯胁懈写褍.袉薪褕懈屑懈褋谢芯胁邪屑懈, 褍泻芯卸薪褨泄褌芯褔褑褨胁懈斜褉邪薪懈泄谢褨薪褨泄薪懈泄锌褨写锌褉芯褋褌褨褉写芯褌懈褔薪芯谐芯锌褉芯褋褌芯褉褍褖芯谐谢邪写泻芯蟹邪谢械卸懈褌褜胁褨写褌芯褔泻懈 . 袪芯蟹锌芯写褨谢懈胁懈泻芯褉懈褋褌芯胁褍褞褌褜褋褟褍褌械芯褉褨褩褨薪褌械谐褉芯胁薪芯褋褌褨褨胁褌械芯褉褨褩褕邪褉褍胁邪薪褜薪邪屑薪芯谐芯胁懈写邪褏. (uk)</li> <li style="display:none;">袪邪褋锌褉械写械谢械薪懈械屑薪邪屑薪芯谐芯芯斜褉邪蟹懈懈薪邪蟹褘胁邪械褌褋褟锌芯写褉邪褋褋谢芯械薪懈械泻邪褋邪褌械谢褜薪芯谐芯褉邪褋褋谢芯械薪懈褟屑薪芯谐芯芯斜褉邪蟹懈褟.袛褉褍谐懈屑懈褋谢芯胁邪屑懈, 胁泻邪卸写芯泄褌芯褔泻械胁褘斜褉邪薪芯谢懈薪械泄薪芯械锌芯写锌褉芯褋褌褉邪薪褋褌胁芯泻邪褋邪褌械谢褜薪芯谐芯锌褉芯褋褌褉邪薪褋褌胁邪泻芯褌芯褉芯械谐谢邪写泻芯蟹邪胁懈褋懈褌芯褌褌芯褔泻懈 . 袪邪褋锌褉械写械谢械薪懈褟懈褋锌芯谢褜蟹褍褞褌褋褟胁褌械芯褉懈懈懈薪褌械谐褉懈褉褍械屑芯褋褌懈懈胁褌械芯褉懈懈褋谢芯械薪懈泄薪邪屑薪芯谐芯芯斜褉邪蟹懈懈. (ru)</li> <li>In differential geometry, a discipline within mathematics, a distribution on a manifold is an assignment of vector subspaces satisfying certain properties. In the most common situations, a distribution is asked to be a vector subbundle of the tangent bundle . Distributions satisfying a further integrability condition give rise to foliations, i.e. partitions of the manifold into smaller submanifolds. These notions have several applications in many fields of mathematics, e.g. integrable systems, Poisson geometry, non-commutative geometry, sub-Riemannian geometry, differential topology, etc. (en)</li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://www.w3.org/2000/01/rdf-schema#label">rdfs:label</a> </td><td class="col-10 text-break"><ul> <li style="display:none;">Distribuce (diferenci谩ln铆 geometrie) (cs)</li> <li>Distribution (differential geometry) (en)</li> <li style="display:none;">袪邪褋锌褉械写械谢械薪懈械 (写懈褎褎械褉械薪褑懈邪谢褜薪邪褟谐械芯屑械褌褉懈褟) (ru)</li> <li style="display:none;">袪芯蟹锌芯写褨谢 (写懈褎械褉械薪褑褨邪谢褜薪邪谐械芯屑械褌褉褨褟) (uk)</li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://www.w3.org/2002/07/owl#differentFrom">owl:differentFrom</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="owl:differentFrom" resource="http://dbpedia.org/resource/Singular_distribution" 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href="http://xmlns.com/foaf/0.1/primaryTopic">foaf:primaryTopic</a> of</td><td class="col-10 text-break"><ul> <li><a class="uri" rev="foaf:primaryTopic" resource="http://en.wikipedia.org/wiki/Distribution_(differential_geometry)" href="http://en.wikipedia.org/wiki/Distribution_(differential_geometry)">wikipedia-en:Distribution_(differential_geometry)</a></li> </ul></td></tr> </tbody> </table> </div> </div> </div> </section>   <section> <div class="container-xl"> <div class="text-center p-4 bg-light"> <a href="https://virtuoso.openlinksw.com/" title="OpenLink Virtuoso"><img class="powered_by" src="/statics/images/virt_power_no_border.png" alt="Powered by OpenLink Virtuoso"/></a>    <a href="http://linkeddata.org/"><img alt="This material is Open Knowledge" src="/statics/images/LoDLogo.gif"/></a>     <a href="http://dbpedia.org/sparql"><img alt="W3C Semantic Web Technology" src="/statics/images/sw-sparql-blue.png"/></a>     <a href="https://opendefinition.org/"><img alt="This material is 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