Sentence examples for exists for problem from inspiring English sources

Then Green's function exists for problem (6.1)–(6.3) if.

We show that only the trivial solution exists for problem (1.4) when, and.

In this paper, we always assume that a local solution exists for problem (1 - 5).

Jowell was unperturbed: safeguards existed for problem gamblers, she insisted at the time.

The lesson for the chemical engineering student is to always consider the possibility that analytical solutions involving special functions might exist for problems previously thought to be solvable with numerical methods only.

By Theorem 3.1, there exists, for every, problem (8) admits at least three distinct solutions.

Then there exists, for every, problem (8) admits at least three distinct solutions.

Additionally, we prove that, unless the Exponential Time Hypothesis is false, no 2o √k)nO(1 -time solution exists for either problem, which shows that our algorithm for partial words is close to optimal.

To the best of our knowledge, no optimal average-case algorithm exists for this problem.

However, no exact analytical solution exists for the problem of light propagation in turbid media such as biological tissues.

This would require a more complex model, but foraging theory exists for this problem (See Vincent et al. 1996; Simpson et al. 2004).