In the case of line defect, if the closed path can be continuously deformed into one point, the defect is not stable, and otherwise, it is stable.
22.
Faraday's law of induction says that the induced current along a closed path is determined solely by the time rate of change of the magnetic flux through it.
23.
A quantity which is "'gauge-invariant "'( i . e ., invariant under gauge transformations ) is the Wilson loop, which is defined over any closed path, ?, as follows:
24.
The circulation of \ mathbf { v } around every rectifiable simple closed path in U is 0, then \ mathbf { v } is a conservative vector field.
25.
The building will link a pathway automatically to the closest path available and the villagers will then construct it by working on the masonry and woodwork on the blueprint.
26.
Weeks doesn't discuss the implications, if any, of non-orientability, i . e . the existence of closed paths in space such that a traveler comes back with reversed chirality.
27.
So to answer the original question : following an orientation-reversing closed path ( possibly necessarily a non-causal i . e . space-like path ) may result in antimatter with time-reversal.
28.
If you do a line integral around a closed path and you don't get zero, is the quantity that you get equal to the energy dissipated by, say, heat from friction?
29.
He also worked with hypergeometric differential equations in 1857 using complex analytical methods and presented the solutions through the behavior of closed paths about singularities ( described by the monodromy matrix ).
30.
As has been said, a force that is the gradient of a scalar field is conservative-you can see this by looking at the integral of "'F?"'d "'r "'around any closed path.
