Vector operator (original) (raw)
Un operador diferencial vectorial es un operador lineal que actúa sobre campos vectoriales definidos sobre una variedad diferenciable.
| Property | Value |
|---|---|
| dbo:abstract | S'anomena operador vectorial un tipus d'operador diferencial utilitzat en el càlcul vectorial. Els operadors vectorials es defineixen en termes de l'operador nabla, i són el gradient, la divergència i el rotacional: El Laplacià és Els operadors vectorials han d'anar sempre davant del camp escalar o del camp vectorial al qual operen, per tal de produir el resultat. Per exemple és el gradient de f, però és un altre operador vectorial, que no opera enlloc. Un operador vectorial també pot operar en un altre operador vectorial, per produir un operador vectorial compost, com ja s'ha vist a sobre en el cas del Laplacià. (ca) Un operador diferencial vectorial es un operador lineal que actúa sobre campos vectoriales definidos sobre una variedad diferenciable. (es) A vector operator is a differential operator used in vector calculus. Vector operators are defined in terms of del, and include the gradient, divergence, and curl: The Laplacian is Vector operators must always come right before the scalar field or vector field on which they operate, in order to produce a result. E.g. yields the gradient of f, but is just another vector operator, which is not operating on anything. A vector operator can operate on another vector operator, to produce a compound vector operator, as seen above in the case of the Laplacian. (en) 向量算子是指向量分析中使用的微分算子。向量算子使用Nabla算符定义，包括梯度、散度和旋度。 拉普拉斯算符表示为： 向量算子必须写在它们所运算的标量场或向量场的左侧，例如： 得到f的梯度，但是 是另一个向量算子，没有对任何量进行运算。 一个向量算子可对另一个向量算子进行运算，得到一个复合向量算子，例如上面的拉普拉斯算符。 (zh) |
| dbo:wikiPageID | 418352 (xsd:integer) |
| dbo:wikiPageLength | 1262 (xsd:nonNegativeInteger) |
| dbo:wikiPageRevisionID | 1010868804 (xsd:integer) |
| dbo:wikiPageWikiLink | dbr:Scalar_field dbr:Vector_field dbr:Del dbr:Gradient dbr:Curl_(mathematics) dbr:Differential_operator dbc:Vector_calculus dbr:Laplacian dbr:Divergence dbr:D'Alembertian_operator dbr:Vector_calculus |
| dbp:wikiPageUsesTemplate | dbt:ISBN dbt:Short_description dbt:Unreferenced |
| dct:subject | dbc:Vector_calculus |
| rdfs:comment | Un operador diferencial vectorial es un operador lineal que actúa sobre campos vectoriales definidos sobre una variedad diferenciable. (es) A vector operator is a differential operator used in vector calculus. Vector operators are defined in terms of del, and include the gradient, divergence, and curl: The Laplacian is Vector operators must always come right before the scalar field or vector field on which they operate, in order to produce a result. E.g. yields the gradient of f, but is just another vector operator, which is not operating on anything. A vector operator can operate on another vector operator, to produce a compound vector operator, as seen above in the case of the Laplacian. (en) 向量算子是指向量分析中使用的微分算子。向量算子使用Nabla算符定义，包括梯度、散度和旋度。 拉普拉斯算符表示为： 向量算子必须写在它们所运算的标量场或向量场的左侧，例如： 得到f的梯度，但是 是另一个向量算子，没有对任何量进行运算。 一个向量算子可对另一个向量算子进行运算，得到一个复合向量算子，例如上面的拉普拉斯算符。 (zh) S'anomena operador vectorial un tipus d'operador diferencial utilitzat en el càlcul vectorial. Els operadors vectorials es defineixen en termes de l'operador nabla, i són el gradient, la divergència i el rotacional: El Laplacià és Els operadors vectorials han d'anar sempre davant del camp escalar o del camp vectorial al qual operen, per tal de produir el resultat. Per exemple és el gradient de f, però és un altre operador vectorial, que no opera enlloc. (ca) |
| rdfs:label | Operador vectorial (ca) Operador diferencial vectorial (es) Vector operator (en) 向量算子 (zh) |
| owl:sameAs | freebase:Vector operator wikidata:Vector operator dbpedia-ca:Vector operator dbpedia-es:Vector operator dbpedia-zh:Vector operator https://global.dbpedia.org/id/4xnzf |
| prov:wasDerivedFrom | wikipedia-en:Vector_operator?oldid=1010868804&ns=0 |
| foaf:isPrimaryTopicOf | wikipedia-en:Vector_operator |
| is dbo:wikiPageWikiLink of | dbr:Vector_(mathematics_and_physics) dbr:Del dbr:List_of_multivariable_calculus_topics dbr:Cross_product dbr:Magnetohydrodynamics dbr:Curl_(mathematics) dbr:Four-gradient dbr:Symmetry_in_quantum_mechanics dbr:Divergence dbr:Vector_calculus |
| is foaf:primaryTopic of | wikipedia-en:Vector_operator |