Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Closed_and_exact_differential_forms> ?p ?o. }
Showing items 1 to 28 of
28
with 100 items per page.
- Closed_and_exact_differential_forms abstract "In mathematics, especially vector calculus and differential topology, a closed form is a differential form α whose exterior derivative is zero (dα = 0), and an exact form is a differential form that is the exterior derivative of another differential form β. Thus, an exact form is in the image of d, and a closed form is in the kernel of d.For an exact form α, α = dβ for some differential form β of one-lesser degree than α. The form β is called a "potential form" or "primitive" for α. Since d2 = 0, β is not unique, but can be modified by the addition of the differential of a two-step-lower-order form.Because d2 = 0, any exact form is automatically closed. The question of whether every closed form is exact depends on the topology of the domain of interest. On a contractible domain, every closed form is exact by the Poincaré lemma. More general questions of this kind on an arbitrary differentiable manifold are the subject of de Rham cohomology, that allows one to obtain purely topological information using differential methods.".
- Closed_and_exact_differential_forms thumbnail Irrotationalfield.svg?width=300.
- Closed_and_exact_differential_forms wikiPageID "404181".
- Closed_and_exact_differential_forms wikiPageRevisionID "583044217".
- Closed_and_exact_differential_forms hasPhotoCollection Closed_and_exact_differential_forms.
- Closed_and_exact_differential_forms subject Category:Differential_forms.
- Closed_and_exact_differential_forms subject Category:Lemmas.
- Closed_and_exact_differential_forms comment "In mathematics, especially vector calculus and differential topology, a closed form is a differential form α whose exterior derivative is zero (dα = 0), and an exact form is a differential form that is the exterior derivative of another differential form β. Thus, an exact form is in the image of d, and a closed form is in the kernel of d.For an exact form α, α = dβ for some differential form β of one-lesser degree than α. The form β is called a "potential form" or "primitive" for α.".
- Closed_and_exact_differential_forms label "Closed and exact differential forms".
- Closed_and_exact_differential_forms label "Formas diferenciales cerradas y exactas".
- Closed_and_exact_differential_forms label "Forme différentielle fermée".
- Closed_and_exact_differential_forms label "Lemat Poincarégo".
- Closed_and_exact_differential_forms label "Lemma di Poincaré".
- Closed_and_exact_differential_forms label "Poincaré-Lemma".
- Closed_and_exact_differential_forms label "ポアンカレの補題".
- Closed_and_exact_differential_forms label "闭形式和恰当形式".
- Closed_and_exact_differential_forms sameAs Poincaré-Lemma.
- Closed_and_exact_differential_forms sameAs Formas_diferenciales_cerradas_y_exactas.
- Closed_and_exact_differential_forms sameAs Forme_différentielle_fermée.
- Closed_and_exact_differential_forms sameAs Lemma_di_Poincaré.
- Closed_and_exact_differential_forms sameAs ポアンカレの補題.
- Closed_and_exact_differential_forms sameAs Lemat_Poincarégo.
- Closed_and_exact_differential_forms sameAs m.0246nw.
- Closed_and_exact_differential_forms sameAs Q2100733.
- Closed_and_exact_differential_forms sameAs Q2100733.
- Closed_and_exact_differential_forms wasDerivedFrom Closed_and_exact_differential_forms?oldid=583044217.
- Closed_and_exact_differential_forms depiction Irrotationalfield.svg.
- Closed_and_exact_differential_forms isPrimaryTopicOf Closed_and_exact_differential_forms.
