Sentence examples for a solution that exists from inspiring English sources

We further prove that the solution to Ge Xu's α-flow can always be extended to a solution that exists for all time and converges exponentially fast to constant α-curvature.

We show that the results in [8] are still true in hyperbolic background geometry setting, that is, the solution to Chow Luo's combinatorial Ricci flow can always be extended to a solution that exists for all time, furthermore, the extended solution converges exponentially fast if and only if there exists a metric with zero curvature.

Populations of ATPS-containing GVs can be prepared by selecting a polymer solution that exists as a single phase at the preparation temperature and can subsequently be heated or cooled to induce phase separation.

Then, the initial value problem (4.1) has a unique solution that exists on the whole half-line [ θ, ∞ ).

The system of equations (2a), (2b), (2c) has a unique solution that exists for all time, t∈ℕ.

"There's no other dark store-like solution that exists," Hnetinka said.

This is the only solution that exists on the planet".

Recognising that the challenges cannot be reduced to solutions that exist outside a real world context is a first step.

Further research should focus on the reasons why some domains matter more in particular settings and how local factors modify and influence these domains, with a view to exploring the solutions that exist and identifying those solutions.

"David Levy is taking people's insecurities and offering a solution that doesn't exist," she explains.

Users didn't hear anything from the company for several hours and were left to brainstorm a solution that didn't exist.