query: Why isn't this vector field conservative?
positive_passages.docid: 18895
positive_passages.text: Why is this vector field not conservative, even though it has a potential? (what is the actual definition of a conservative vector field?)
negative_passages.docid: 150081
negative_passages.text: Deriving Lagrangian density for electromagnetic field
negative_passages.docid: 139556
negative_passages.text: what causes the error "The dependent variable in the boundary condition needs to be linear" when using NDSolve?
negative_passages.docid: 153707
negative_passages.text: Is the Lie bracket of two vector fields well defined?
negative_passages.docid: 136692
negative_passages.text: Why should the spatial derivative order of the ODE *not* exceed two?
negative_passages.docid: 140464
negative_passages.text: Is Gauss's law wrong, or is it possible that $\int_s{\vec E} \cdot d\vec{s}=0$ does not imply $\vec E = 0$?
negative_passages.docid: 43801
negative_passages.text: Why is $\operatorname{Div}\big(\operatorname{Curl} F\big) = 0$? Intuition?
negative_passages.docid: 55089
negative_passages.text: Basis of the space of vector fields on smooth manifolds
negative_passages.docid: 121639
negative_passages.text: Is momentum conserved in this situation?
negative_passages.docid: 113117
negative_passages.text: How do many conservative forces come together to make a non-conservative one?
negative_passages.docid: 122474
negative_passages.text: Inconsistency with partial derivatives as basis vectors?
negative_passages.docid: 138071
negative_passages.text: In 1D why are vectors, such as, e.g., velocity $v$ and acceleration $a$, not written with a vector arrow?
negative_passages.docid: 33691
negative_passages.text: Confusion about a particular differential form being exact?
negative_passages.docid: 105248
negative_passages.text: Why is the gradient of implicit surface the normal vector (i.e. parallel to the normal line)?
negative_passages.docid: 22934
negative_passages.text: Validity of work-energy theorem in presence of non-conservative forces?
negative_passages.docid: 142531
negative_passages.text: If angular velocity & angular acceleration are vectors, why not angular displacement?
negative_passages.docid: 53616
negative_passages.text: Boundary condition with spatial derivative is ignored by NDSolve