Sentence examples for when there exists a from inspiring English sources

I write in A Love Worth Celebrating, that love can only be authentic when there exists a real possibility of losing it.

A first attempt would be to define the existence of an asset bubble when there exists a (mathbb {Q} -bubble for at least one ({mathbb {Q} -bubblehcal {P}}) in the classical sense oforClatsicaleastting fonebubble modeling" section.

After the introduction and basic notation, we recall the definition of lower and upper functions to the problem (1.2), (1.3), and we formulate the classical theorem on the existence of a solution to (1.2), (1.3) in the case when there exists a couple of well-ordered lower and upper functions.

"We must risk American blood and treasure overseas only when there exists a vital national security interest," Mr. Huntsman wrote.

Why belabor Medicare when there exists a well-tested plan that has functioned admirably for many years?

We say that the market is monopolistic when there exists a unique bookmaker.

Even when there exists a phase vector that satisfies the finite duration constraint, the solution is not straightforward.

This algorithm has the property to converge to an extremum of the game when there exists a pure equilibrium.

The radiative return of excited electrons to their ground state occurs spontaneously, and when there exists an assembly of excited electrons their individual spontaneous radiative transitions are independent of each other.

When there exists an outcome externality regarding the marginal cost, the opposite result holds.

Moreover, when there exists an external disturbance, the L2 disturbance attenuation performance is analyzed for the sliding mode dynamics.