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- Conservative_vector_field abstract "In vector calculus a conservative vector field is a vector field that is the gradient of some function, known in this context as a scalar potential. Conservative vector fields have the property that the line integral is path independent, i.e. the choice of integration path between any point and another does not change the result. Path independence of a line integral is equivalent to the vector field being conservative. A conservative vector field is also irrotational; in three dimensions this means that it has vanishing curl. An irrotational vector field is necessarily conservative provided that a certain condition on the geometry of the domain holds, i.e. the domain is simply connected.Conservative vector fields appear naturally in mechanics: they are vector fields representing forces of physical systems in which energy is conserved. For a conservative system, the work done in moving along a path in configuration space depends only on the endpoints of the path, so it is possible to define a potential energy independently of the path taken.".
- Conservative_vector_field wikiPageID "461454".
- Conservative_vector_field wikiPageRevisionID "604149124".
- Conservative_vector_field hasPhotoCollection Conservative_vector_field.
- Conservative_vector_field subject Category:Force.
- Conservative_vector_field subject Category:Vector_calculus.
- Conservative_vector_field comment "In vector calculus a conservative vector field is a vector field that is the gradient of some function, known in this context as a scalar potential. Conservative vector fields have the property that the line integral is path independent, i.e. the choice of integration path between any point and another does not change the result. Path independence of a line integral is equivalent to the vector field being conservative.".
- Conservative_vector_field label "Campo conservativo".
- Conservative_vector_field label "Campo vettoriale conservativo".
- Conservative_vector_field label "Champ conservatif".
- Conservative_vector_field label "Conservatief vectorveld".
- Conservative_vector_field label "Conservative vector field".
- Conservative_vector_field label "Потенциальное векторное поле".
- Conservative_vector_field label "保守向量场".
- Conservative_vector_field sameAs Champ_conservatif.
- Conservative_vector_field sameAs Campo_vettoriale_conservativo.
- Conservative_vector_field sameAs Conservatief_vectorveld.
- Conservative_vector_field sameAs Campo_conservativo.
- Conservative_vector_field sameAs m.02cbtj.
- Conservative_vector_field sameAs Q1588205.
- Conservative_vector_field sameAs Q1588205.
- Conservative_vector_field wasDerivedFrom Conservative_vector_field?oldid=604149124.
- Conservative_vector_field isPrimaryTopicOf Conservative_vector_field.