Sentence examples for minimum exists from inspiring English sources

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

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

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

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.

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.

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.

If these three bits have a pattern of "101" then a minimum exist between two maximums.

The resulting X2 curve for the size distribution indicated that only the complete flow cytometry data set lead to the best accordance, while a local minimum existed for the fluorescence intensity distribution (fig. 4B).

Second, the recently developed constrained finite strip method (cFSM) which can uniquely identify local and distortional buckling in all cases suffers from its own limitations, specifically (a) cFSM does not yield the same exact solution as FSM even when unique minima exists in the FSM solution, and (b) cFSM cannot include rounded corners in the model of the cross-section.

If a minimum (maximum) exists, then it verifies( p - gamma = C^{prime}(mu ) ).

However, the observation of multiple IMS bands suggests that multiple local minima exist which translates into the existence of multiple conformations.