Sentence examples for not simply connected from inspiring English sources

So the surface of the doughnut is said to be not simply connected.

The point of these tax cuts is not simply connected to their merits.

We find that at least one such solution always exists if k= 2 and Ω is not simply connected.

The problem exhibits manifold optimal solutions (convexity), some variables have a range of non allowed values (solutions space not simply connected) and others are integers.

So, this guy here is simply connected while -- -- this guy here is not simply connected because if I take this curve, that's a curve inside my region.

So, see, the problem with that vector field here is precisely that its domain of definition is not simply connected because there is a hole, namely the origin.

Note that B ( t ) does not have to be simply connected and can describe a union of many disjoint active regions.

So, in particular, you can try to distinguish domains in the plains by looking at whether they're simply connected or not, and what kinds of features they have in terms of how you can joint point what kinds of curves exist in them.

Notice that Theorem 1.18 does not assume that Ω is simply connected.

(It is not easy even for a simply connected domain because it is hard to find its Riemann mapping function in general).

Note that the solution of the boundary value problem (1 - 2) is only unique up to a gradient field (if Ω is simply connected), which is not of importance if one is only interested in the magnetic field B. Thus it is possible to solve the ungauged problem (1 - 2) if the current (mathbf {j}^{i}) lies in the range of the system matrix [2].