Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Liouvilles_formula> ?p ?o }
Showing triples 1 to 59 of
59
with 100 triples per page.
- Liouvilles_formula abstract "In mathematics, Liouville's formula, also known as the Abel-Jacobi-Liouville Identity, is an equation that expresses the determinant of a square-matrix solution of a first-order system of homogeneous linear differential equations in terms of the sum of the diagonal coefficients of the system. The formula is named after the French mathematician Joseph Liouville. Jacobi's formula provides another representation of the same mathematical relationship.Liouville's formula is a generalization of Abel's identity and can be used to prove it. Since Liouville's formula relates the different linearly independent solutions of the system of differential equations, it can help to find one solution from the other(s), see the example application below.".
- Liouvilles_formula wikiPageExternalLink book-ode.
- Liouvilles_formula wikiPageID "16199733".
- Liouvilles_formula wikiPageLength "8317".
- Liouvilles_formula wikiPageOutDegree "29".
- Liouvilles_formula wikiPageRevisionID "622887192".
- Liouvilles_formula wikiPageWikiLink Abels_identity.
- Liouvilles_formula wikiPageWikiLink American_Mathematical_Society.
- Liouvilles_formula wikiPageWikiLink Category:Articles_containing_proofs.
- Liouvilles_formula wikiPageWikiLink Category:Mathematical_identities.
- Liouvilles_formula wikiPageWikiLink Category:Ordinary_differential_equations.
- Liouvilles_formula wikiPageWikiLink Chain_rule.
- Liouvilles_formula wikiPageWikiLink Complex_number.
- Liouvilles_formula wikiPageWikiLink Constant_of_integration.
- Liouvilles_formula wikiPageWikiLink Continuous_function.
- Liouvilles_formula wikiPageWikiLink Determinant.
- Liouvilles_formula wikiPageWikiLink Exponential_function.
- Liouvilles_formula wikiPageWikiLink France.
- Liouvilles_formula wikiPageWikiLink Fundamental_theorem_of_calculus.
- Liouvilles_formula wikiPageWikiLink Interval_(mathematics).
- Liouvilles_formula wikiPageWikiLink Jacobis_formula.
- Liouvilles_formula wikiPageWikiLink Joseph_Liouville.
- Liouvilles_formula wikiPageWikiLink Leibniz_formula_for_determinants.
- Liouvilles_formula wikiPageWikiLink Linear_differential_equation.
- Liouvilles_formula wikiPageWikiLink Linear_independence.
- Liouvilles_formula wikiPageWikiLink Mathematician.
- Liouvilles_formula wikiPageWikiLink Mathematics.
- Liouvilles_formula wikiPageWikiLink Matrix_(mathematics).
- Liouvilles_formula wikiPageWikiLink Matrix_calculus.
- Liouvilles_formula wikiPageWikiLink Mean_value_theorem.
- Liouvilles_formula wikiPageWikiLink Natural_logarithm.
- Liouvilles_formula wikiPageWikiLink Providence,_Rhode_Island.
- Liouvilles_formula wikiPageWikiLink Real_line.
- Liouvilles_formula wikiPageWikiLink Real_number.
- Liouvilles_formula wikiPageWikiLink Trace_(linear_algebra).
- Liouvilles_formula wikiPageWikiLinkText "Liouville's formula".
- Liouvilles_formula wikiPageUsesTemplate Template:=.
- Liouvilles_formula wikiPageUsesTemplate Template:Citation.
- Liouvilles_formula wikiPageUsesTemplate Template:EquationNote.
- Liouvilles_formula wikiPageUsesTemplate Template:EquationRef.
- Liouvilles_formula wikiPageUsesTemplate Template:Math.
- Liouvilles_formula wikiPageUsesTemplate Template:NumBlk.
- Liouvilles_formula wikiPageUsesTemplate Template:Open-open.
- Liouvilles_formula subject Category:Articles_containing_proofs.
- Liouvilles_formula subject Category:Mathematical_identities.
- Liouvilles_formula subject Category:Ordinary_differential_equations.
- Liouvilles_formula hypernym Equation.
- Liouvilles_formula type Proof.
- Liouvilles_formula type Theorem.
- Liouvilles_formula comment "In mathematics, Liouville's formula, also known as the Abel-Jacobi-Liouville Identity, is an equation that expresses the determinant of a square-matrix solution of a first-order system of homogeneous linear differential equations in terms of the sum of the diagonal coefficients of the system. The formula is named after the French mathematician Joseph Liouville.".
- Liouvilles_formula label "Liouville's formula".
- Liouvilles_formula sameAs Q1827325.
- Liouvilles_formula sameAs Liouvillesche_Formel.
- Liouvilles_formula sameAs m.064rb7v.
- Liouvilles_formula sameAs Формула_Лиувилля_—_Остроградского.
- Liouvilles_formula sameAs Q1827325.
- Liouvilles_formula sameAs 刘维尔公式.
- Liouvilles_formula wasDerivedFrom Liouvilles_formula?oldid=622887192.
- Liouvilles_formula isPrimaryTopicOf Liouvilles_formula.