This follows from a result generally credited to [ 3], that we formalize as follows: With V and W as above, the edge set of every minimum spanning tree for W is contained in E(V| W) while, conversely, there exists, for any edge e∈ E V| W), a minimum spanning tree for W whose edge set contains e.
Conversely, there exists a neighborhood base of zero that satisfies properties (a - e) on every topologica - enear space (mathcal{V}).
Conversely, if there exist α>0, β>0, (u in mathbb {R}^{n}), and (v in mathbb {R}^{m}) satisfying (4) and (5), then u is a solution of model (2).
Conversely, let be linearly dependent, then since is linearly independent, there exist and not all zero, such that (23).
Conversely, if the consumption space has low dimension relative to the number of observations, then there exist both rational and irrational preference relations that can never be revealed by choices.
Conversely, if, then there exists such that and.
You are there, exist there.
Conversely, assume that there exist with satisfying one of the conditions and.
Conversely, assume that there exist two Jensen functions r1,r2:X→Y such that F x,y)=r1 x)+r2(y)for all x,y∈X.
Conversely, suppose ; there exists some such that and when.
