Sentence examples for sufficient fulfillment from inspiring English sources

And in order that this solution satisfies to the condition v ( 0 ) = 0, according to Lemma 3.11, it is necessary and sufficient fulfillment of the condition (4.2).

Love becomes a self-sufficient state of fulfillment.

Finally, with an eye to finding a class of functions whose integral interacts well with differentiation, we give sufficient conditions that guarantee the fulfillment of the fundamental theorem of calculus, and prove the Lebesgue differentiation theorem for the integral in the sense of Vogt.

Moreover, the sufficient conditions on the proposed trajectory for fulfillment of UAV constraints are derived.

In other words, for certain countries the fulfillment of the INDCs will not be sufficient to reduce net LULUCF emissions compared to a historical reference period.

Plato presupposes that the fulfillment of a person's function is sufficient to secure her happiness, or at least that is suggested by the 'functional' argument that defeats Thrasymachus (352d 354a).

Although all AD subjects also fulfilled the revised NINCDS-ADRDA criteria suggested by Dubois et al. [17] the fulfillment of the original McKhann criteria was sufficient for the inclusion into the study.

If the condition (21) is valid, then v ( x ) = C satisfies the condition (18) at f ( x ) ≡ 0, i.e. the corresponding homogeneous equation (26) has the nonzero solution v ( x ) ≡ C. Then the adjoint homogeneous equation has also a nonzero solution, and that is why in this case fulfillment of the condition (24) is necessary and sufficient for solvability of problem (17 - 18).

Fulfillment of any of these three criteria is sufficient for the diagnosis to be made.

In the following subsection we show that the fulfillment of (23) from the original E-PHXC design criteria is sufficient to avoid these failures for arbitrary channel parametrization.

The inclusion criterion for this study was symptomatic end-stage ankle osteoarthritis with fulfillment of general total ankle arthroplasty indications (good bone stock, normal vascular status, sufficient medial and lateral ankle stability).