4 февр. 2018 г. · But it's not conservative, because integrating it around the unit circle results in 2π, not zero as predicted by path-independence. On the other ...

29 апр. 2014 г. · The existence of non-conservative vector fields with zero curl is a topological matter, ie it only depends on the topology of the space on which the vector ...

1 мая 2018 г. · A vector field is conservative at one point if and only if its curl is 0, by theorem, it is conservative on the domain which its curl = 0, if curl is not 0 ...

8 дек. 2017 г. · You have it the wrong way around. Zero curl doesn't imply conservative without some assumptions on the actual space in question (like if the ...

13 июн. 2015 г. · Why does curl(F)=0 ⟺ F is conservative? · 1. Because of stokes theorem. · I am very new to these topics and I can't understand that pdf to be ...

8 июн. 2013 г. · Only if the domain is simply connected. ... (1) essentially means: Field whose curl is zero=Conservative vector field +"Something".

10 авг. 2015 г. · If the curl of a vector function is equal to zero, then the vector function is the gradient of some other scalar function, but is this a must?

26 дек. 2016 г. · My notes say that if F is conservative (i.e. F=∇f) then curl (F)=0. But I feel this is not quite right. There is a theorem that says that if f(x ...

6 мая 2017 г. · It's actually always true that the field is conservative if its curl is zero. This gives an easy way to test for a conservative fields higher than 2 dimensions.

10 сент. 2016 г. · The vector line integral of a conservative field over any smooth, closed curve is zero. Your justification with Stokes' theorem is fine.