Sentence examples for solution define from inspiring English sources

In particular, a Lie algebraic criterion is presented that implies that all finite-dimensional projections of the solution define random variables which admit a density.

To formally state this solution, define first a constrained bilateral Nash bargaining game that takes the existence of an outside option into account.

where ϕ is the solution defined above.

has a unique solution defined on.

Let be a regularized solution defined by (2.4), with data.

Then (3.6) has no positive solution defined on.

Figure 2 Error curves for the solution defined from (20) Figure 3 Error curves for the solution defined from (21).

Homogeneous problem (4.19), (4.23) has a nontrivial solution defined by (4.22).

end{aligned} (B.9) Inequality (B.9) is the entropy solution defined in [15 17].

then (7.1) has a positive absolutely continuous solution defined implicitly by (7.5).

In method two, we have the second regularized solution (defined in Theorem 3).