Sentence examples for continuation exists from inspiring English sources

As long as the difference between (beta _1) and (beta _1^*) is not too large, a pure separating equilibrium with inefficient liquidation or continuation exists.

If only one continuation exists, take it.

A continuation of what exists – not a true category break.

Corollary 1 For a given prisoner's dilemma and a given continuation probability δ, there exists a memory-one partner strategy if and only if the trigger strategy Grim = (1, 0, 0, 0 ; 1 ) is a partner strategy.

The method we use is pseudo-arclength continuation; other methods exist [4].

These observations advocate the need for either the continuation (where those exist) or the development of new public health interventions aimed at shortening the patient interval associated with those cancers.

In addition, the possibility for bias introduced through patient self-selection for continuation into the extension study exists.

Software for the continuation of homoclinic and heteroclinic orbits exists [10, 63].

By recalling the Leray-Schauder continuation principle, it follows that there exists a connected component Γ of (partialmathcal {B}), such that Gammacapbigl([0,1]times{0}bigr) neqemptysetquad mbox{and}quad Gamma capbigl([0,1]times{1}bigr) neqemptyset.

Let (p,qin Path(Gamma ).) We say that the path p is a beginning of the path q and the path q is a continuation of the path p if there exists a path (q'in Path(Gamma )) such that (q=pq'.) We will often use the following straightforward fact: if (p,qin Path(Gamma )) then (p^*qne 0) if and only if one of the paths p, q is a continuation of the other one.

Since ImQ is isomorphic to KerL, there exists an isomorphism (J: operatorname{Im}Qrightarrow operatorname{Ker}L). (Continuation theorem).