Sentence examples for exists the third from inspiring English sources

Thus there exists the third critical point of (tilde{I}(Y)).

By the shape of the graph of the functional I ˜ on the one-dimensional subspace E 0, there exists the third critical point of I ˜ ( v ).

By the shape of the graph of the functional I ˜ on the 1-dimensional subspace V, there exists the third critical point v 2 ≠ 0 which is a strict local point of minimum of I ˜ ( v, s ).

When there is no societal entitlement, the first or second method must be used; and when it exists, the third must be used.

Since a window exists, the first add_curve call will use it instead of creating a new one.

The first venue I went looking for no longer exists, the second had hugely disappointing stock and the third was a veritable mad house.

There also exists the second BPP frequency range for ω > ωp.

Outside the crossing region, where only one fiber exists, the second component is aligned with the first.

The stations in question no longer exist: the Ninth Avenue Elevated came down in 1940.

Góngora intended the poem to be in four parts, but only two sections of roughly a thousand lines apiece exist, the second of which is unfinished.

These findings suggest that the neuropsychological deficiencies associated with psychotic conditions largely pre-exist the first frank psychotic episode.