Sentence examples for the minimum exists from inspiring English sources

If C'(1) ≤ 0, then the minimum exists at p = 1.

This means, that h is the identity function on K and the projection on K for the elements in S ∖ K. Due to [[1], Corollary 4.5] this minimum exists and is unique.

Note that the proximity operator is well defined, because the above minimum exists and is unique (the objective function if strongly convex).

Since C 0) < 0, if C'(1) > 0, then the global minimum exists at 0 < p < 1.

The theoretical results show that (1) a relative minimum exists in the minority mobility for p-type Ga1−xAlxAs as a function of acceptor density and (2) the nie values differ by as much as a factor of 2.5 from the intrinsic carrier concentration denoted by ni.

The optimal time and altitude of the meteorite dissipation are both sensitive to the velocity of sound and difficult to resolve, but, nevertheless, a broad minimum exists in the surface.

Further from the physics of the problem it has been argued that a minimum exists for such class of problems of heat transfer from an insulated wall.

In Figure 5, we validate the approximation of holding g constant in equation (23) by showing that such a minimum exists in direct simulations of the theta model.

The score is adjusted by subtracting the initial score s init which is defined as the last minimal score encountered during traceback before the score exceeds the final alignment score or 0 if no such minimum exists.

Refer to Appendix C. Theorem 3 proves that a global minimum exists.

Here's our first putative norm of standard decision theory (van Fraassen 1983: 297): Possibility of Vindication A rational agent will not adopt an option that has no possibility of attaining minimal disutility, when such a minimum exists.