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class="text-muted"> An Entity of Type: <a href="http://dbpedia.org/ontology/Company">company</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 topology, the jet bundle is a certain construction that makes a new smooth fiber bundle out of a given smooth fiber bundle. It makes it possible to write differential equations on sections of a fiber bundle in an invariant form. Jets may also be seen as the coordinate free versions of Taylor expansions. </div> <div class="col-xs-3 col-sm-2"> <a href="#" class="thumbnail"> <img src="http://commons.wikimedia.org/wiki/Special:FilePath/Jet_Bundle_Image_FbN.png?width=300" alt="thumbnail" class="img-fluid" /> </a> </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;">En topología diferencial, un haz de jets es una construcción que genera un nuevo fibrado diferenciable de un haz dado de fibras suaves. Hace posible escribir ecuaciones diferenciales en secciones de un haz de fibras en una forma invariante. Los jets también se pueden ver como las versiones de la serie de Taylor libres de coordenadas. Históricamente, los haces de jets se atribuyen a , y fueron un avance en el método de Élie Cartan, de tratar geométricamente con derivadas sucesivas, al imponer condiciones diferenciales a las variables formales recientemente introducidas. Los haces de jets a veces se llaman espráis, aunque los por lo general se refieren más específicamente al campo vectorial asociado inducido en el haz correspondiente (por ejemplo, el espray geodésico en ). Más recientemente, los haces de jets han aparecido como una forma concisa para describir los fenómenos asociados con las aplicaciones de derivadas, en particular las asociadas con el cálculo de variaciones. En consecuencia, ahora se reconoce que el haz de jets es el dominio correcto para la teoría de campo covariante geométrica clásica, y se realiza mucho trabajo en las formulaciones de campos en la relatividad general que utilizan este enfoque. (es)</li> <li>In differential topology, the jet bundle is a certain construction that makes a new smooth fiber bundle out of a given smooth fiber bundle. It makes it possible to write differential equations on sections of a fiber bundle in an invariant form. Jets may also be seen as the coordinate free versions of Taylor expansions. Historically, jet bundles are attributed to Charles Ehresmann, and were an advance on the method (prolongation) of Élie Cartan, of dealing geometrically with higher derivatives, by imposing differential form conditions on newly introduced formal variables. Jet bundles are sometimes called sprays, although sprays usually refer more specifically to the associated vector field induced on the corresponding bundle (e.g., the geodesic spray on Finsler manifolds.) Since the early 1980s, jet bundles have appeared as a concise way to describe phenomena associated with the derivatives of maps, particularly those associated with the calculus of variations. Consequently, the jet bundle is now recognized as the correct domain for a geometrical covariant field theory and much work is done in general relativistic formulations of fields using this approach. (en)</li> <li style="display:none;">在微分几何中，节丛(jet bundle，或称射流丛、射丛)是一种特殊的构造，从给定的光滑纤维丛建立一个新的光滑纤维丛。它使得在纤维丛的截面上用一种不变形式来表达微分方程成为可能。历史上，节丛归功于埃雷斯曼，它是嘉当的延长方法上的一个进步，该方法通过在新引入的形式化变量上加入微分形式条件的办法来以几何方式处理高阶导数。节丛有时候也称为喷射(sprays)。 (zh)</li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/thumbnail">dbo:thumbnail</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="dbo:thumbnail" resource="http://commons.wikimedia.org/wiki/Special:FilePath/Jet_Bundle_Image_FbN.png?width=300" href="http://commons.wikimedia.org/wiki/Special:FilePath/Jet_Bundle_Image_FbN.png?width=300">wiki-commons:Special:FilePath/Jet_Bundle_Image_FbN.png?width=300</a></li> </ul></td></tr><tr class="odd"><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="http://www.emis.de/monographs/KSM/" href="http://www.emis.de/monographs/KSM/">http://www.emis.de/monographs/KSM/</a></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/wikiPageID">dbo:wikiPageID</a> </td><td class="col-10 text-break"><ul> <li>928060 (xsd:integer)</li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/wikiPageLength">dbo:wikiPageLength</a> </td><td class="col-10 text-break"><ul> <li>34266 (xsd:nonNegativeInteger)</li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/wikiPageRevisionID">dbo:wikiPageRevisionID</a> </td><td class="col-10 text-break"><ul> <li>1103061419 (xsd:integer)</li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/wikiPageWikiLink">dbo:wikiPageWikiLink</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="dbo:wikiPageWikiLink" 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href="http://dbpedia.org/class/yago/MathematicalStatement106732169">yago:MathematicalStatement106732169</a></li> <li><a class="uri" rel="rdf:type" resource="http://dbpedia.org/class/yago/Message106598915" href="http://dbpedia.org/class/yago/Message106598915">yago:Message106598915</a></li> <li><a class="uri" rel="rdf:type" resource="http://dbpedia.org/class/yago/Statement106722453" href="http://dbpedia.org/class/yago/Statement106722453">yago:Statement106722453</a></li> <li><a class="uri" rel="rdf:type" resource="http://dbpedia.org/class/yago/WikicatDifferentialEquations" href="http://dbpedia.org/class/yago/WikicatDifferentialEquations">yago:WikicatDifferentialEquations</a></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" 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;">在微分几何中，节丛(jet bundle，或称射流丛、射丛)是一种特殊的构造，从给定的光滑纤维丛建立一个新的光滑纤维丛。它使得在纤维丛的截面上用一种不变形式来表达微分方程成为可能。历史上，节丛归功于埃雷斯曼，它是嘉当的延长方法上的一个进步，该方法通过在新引入的形式化变量上加入微分形式条件的办法来以几何方式处理高阶导数。节丛有时候也称为喷射(sprays)。 (zh)</li> <li style="display:none;">En topología diferencial, un haz de jets es una construcción que genera un nuevo fibrado diferenciable de un haz dado de fibras suaves. Hace posible escribir ecuaciones diferenciales en secciones de un haz de fibras en una forma invariante. Los jets también se pueden ver como las versiones de la serie de Taylor libres de coordenadas. (es)</li> <li>In differential topology, the jet bundle is a certain construction that makes a new smooth fiber bundle out of a given smooth fiber bundle. It makes it possible to write differential equations on sections of a fiber bundle in an invariant form. Jets may also be seen as the coordinate free versions of Taylor expansions. 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