Sentence examples for which implies either from inspiring English sources

It follows from (2.3) that k ≥ A μ ( k / Q ¯ ) p p ∗ ( s ), which implies either k = 0 or k ≥ A μ N − s p − s Q ¯ p − N p − s.

Then f has the unique fixed point 0 by Lemma 2.4, which implies either 0 < f ( x ) < x or f ( x ) > x for x > 0. In the case 0 < f ( x ) < x we have lim m → ∞ f m ( x ) = 0 because 0 is an attracting fixed point, then (3.22) from (3.20) directly.

The sagas note that aside from the significant spoils of battle he had retained, he had participated three times in polutasvarf (loosely translated as "palace-plunder"), a term which implies either the pillaging of the palace exchequer on the death of the emperor, or perhaps the disbursement of funds to the Varangians by the new emperor in order to ensure their loyalty.

A possible approach to the above problem is to look for geometric conditions in a Banach space X which imply either the (DL) condition or property (D).

A possible approach to the above problem is to look for geometric conditions in a Banach space which imply either the DL condition or property (D).

Classical smoking cessation trials enroll subjects motivated to quit, whereas our study recruited smokers who wanted to 'control their smoking', which implied either reducing cigarette consumption or immediate quitting.

which implies that either det − Q ¯ jk = 0, Open image in new window (3.17c).

which implies that either det P jk = 0, Open image in new window (3.16b).

Then the solution u satisfies the inequalities (3.8), which implies that either (u=0) or (u>0) in Q.

In this case, this condition turns out to be β 1 β 2 t 2 = q β 1 β 2 t 2, which implies immediately either β 1 = 0 ( α 1 = 0 ) or β 2 = 0 ( α 2 = 0 ).

We did not observe sprouting of capillaries from the dorsal veins into the ChP proper as late as 144hpf, which implies it either takes place during later development or otherwise indicates a simpler organization of the ChP-associated vasculature in zebrafish compared to that in mammals, where fenestrated capillaries are embedded in the ChP proper.