Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Partial_fraction_decomposition> ?p ?o }
Showing triples 1 to 40 of
40
with 100 triples per page.
- Partial_fraction_decomposition abstract "In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is a fraction such that the numerator and the denominator are both polynomials) is the operation that consists in expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator.The importance of the partial fraction decomposition lies in the fact that it provides an algorithm for computing the antiderivative of a rational function.In symbols, one can use partial fraction expansion to change a rational fraction in the form where ƒ and g are polynomials, into an expression of the form where gj (x) are polynomials that are factors of g(x), and are in general of lower degree. Thus, the partial fraction decomposition may be seen as the inverse procedure of the more elementary operation of addition of rational fractions, which produces a single rational fraction with a numerator and denominator usually of high degree.The full decomposition pushes the reduction as far as it will go: in other words, the factorization of g is used as much as possible. Thus, the outcome of a full partial fraction expansion expresses that fraction as a sum of fractions, where: the denominator of each term is a power of an irreducible (not factorable) polynomial and the numerator is a polynomial of smaller degree than that irreducible polynomial. To decrease the degree of the numerator directly, the Euclidean division can be used, but in fact if ƒ already has lower degree than g this isn't helpful.".
- Partial_fraction_decomposition wikiPageExternalLink LaplaceT-1_Example_2_6_OGATA_4editio.php.
- Partial_fraction_decomposition wikiPageExternalLink partial-fractions.jsp.
- Partial_fraction_decomposition wikiPageID "247288".
- Partial_fraction_decomposition wikiPageRevisionID "597201694".
- Partial_fraction_decomposition first "L. D.".
- Partial_fraction_decomposition id "u/u095160".
- Partial_fraction_decomposition last "Kudryavtsev".
- Partial_fraction_decomposition title "Partial Fraction Decomposition".
- Partial_fraction_decomposition title "Undetermined coefficients, method of".
- Partial_fraction_decomposition urlname "PartialFractionDecomposition".
- Partial_fraction_decomposition subject Category:Algebra.
- Partial_fraction_decomposition subject Category:Elementary_algebra.
- Partial_fraction_decomposition subject Category:Partial_fractions.
- Partial_fraction_decomposition comment "In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is a fraction such that the numerator and the denominator are both polynomials) is the operation that consists in expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator.The importance of the partial fraction decomposition lies in the fact that it provides an algorithm for computing the antiderivative of a rational function.In symbols, one can use partial fraction expansion to change a rational fraction in the form where ƒ and g are polynomials, into an expression of the form where gj (x) are polynomials that are factors of g(x), and are in general of lower degree. ".
- Partial_fraction_decomposition label "Breuksplitsing".
- Partial_fraction_decomposition label "Decomposizione in fratti semplici".
- Partial_fraction_decomposition label "Décomposition en éléments simples".
- Partial_fraction_decomposition label "Fracción parcial".
- Partial_fraction_decomposition label "Frações parciais".
- Partial_fraction_decomposition label "Partial fraction decomposition".
- Partial_fraction_decomposition label "Partialbruchzerlegung".
- Partial_fraction_decomposition label "Ułamki proste".
- Partial_fraction_decomposition label "كسر جزئي".
- Partial_fraction_decomposition label "部分分式分解".
- Partial_fraction_decomposition label "部分分数分解".
- Partial_fraction_decomposition sameAs Partialbruchzerlegung.
- Partial_fraction_decomposition sameAs Fracción_parcial.
- Partial_fraction_decomposition sameAs Décomposition_en_éléments_simples.
- Partial_fraction_decomposition sameAs Decomposizione_in_fratti_semplici.
- Partial_fraction_decomposition sameAs 部分分数分解.
- Partial_fraction_decomposition sameAs 부분분수.
- Partial_fraction_decomposition sameAs Breuksplitsing.
- Partial_fraction_decomposition sameAs Ułamki_proste.
- Partial_fraction_decomposition sameAs Frações_parciais.
- Partial_fraction_decomposition sameAs m.01krz4.
- Partial_fraction_decomposition sameAs Q431617.
- Partial_fraction_decomposition sameAs Q431617.
- Partial_fraction_decomposition wasDerivedFrom Partial_fraction_decomposition?oldid=597201694.
- Partial_fraction_decomposition isPrimaryTopicOf Partial_fraction_decomposition.