Sentence examples for minimal compact subset from inspiring English sources

Then Theorem 3.8 ensures the existence of a minimal compact subset of such that (3.15).

Then there exists a minimal compact subset of such that (3.14).

Let E be a compact subset of the unit circle.

The type space of each buyer is given by a compact subset of Rd+ with a continuum of possible types.

If is a nonempty compact subset of, then for each there is a unique such that (4.2). and the sequence converges strongly to some point which is the unique minimal point of optimization problem (4.1).

Since the volume of any complete minimal hypersurface in hyperbolic space is infinite and (L^{2}) norm of (vert Avert ) is finite by our assumption, we see that (vert Avert equiv0) outside the compact subset (B(R_{0})).

uniformly on compact subset of R n.

Thus is a compact subset of.

Indeed, for any given compact subset, let.

Now, let be a compact subset of.

If for each compact subset of (5.6).