Sentence examples for exists globally from inspiring English sources

We will prove that ( φ ^ 1, …, φ ^ k ) cannot exists globally, thus contradicting the global existence of (u1, ⋯, u k ).

They established the existence of a critical length (a_) and proved that the solution exists globally if (0< a< a_), while the solution quenches if (a>a_).

Therefore, we get is a global supersolution of (1.1)–(1.3) and hence the solution to (1.1)–(1.3) exists globally by Proposition 2.4.

It's a bold project, but one that seems to me strangely out of step with how Shakespeare already exists globally, in a jumble of languages, variations, refashionings, performance styles.

Hence, exists globally.

Therefore, the solution ((u,v)) of (1.1) exists globally.

Therefore, the solution (psi (t)) to (1.1) exists globally.

Suppose the corresponding solution exists globally in time.

while we say that exists globally if (1.5).

Then the solution ((u,v)) of (1.6) exists globally.

By comparison principle, we conclude that, which implies exists globally.