Sentence examples for opposite implication from inspiring English sources

To prove the opposite implication, it is enough to prove that φ + and φ − are projective.

The opposite implication fails in general (consider S = - Id), but it is true for strongly nonexpansive mappings.

To show that the opposite implication is true let us assume that (z_{1},z_{2} : [t_{0}, t_{0}+ r] timesOmegato E^{d}) are continuous fuzzy stochastic processes and they satisfy equation (3.8).

A positive coefficient on this term implies that increased competition from trade is associated with a higher wage gap (female employment) in concentrated industries, a negative coefficient implies the opposite (note that using change in tariff as the trade measure will again have the opposite implication given the way it is measured).

To prove the opposite implication, suppose, by contradiction, that J is nonnegative and ( m, m + 1 ] ⊆ ( 1, N ] is coupled with 0. Let z and α be the corresponding solution and number from the definition of coupled interval, i.e. z 0 = 0, R 0 Φ ( z 1 ) = 1, z m ≠ 0, d m ≤ 0 and z k ≢ α on [ m + 1, N + 1 ] if m ≠ N. Define an admissible function x as in Remark 1.1.

It's true that the surname Maddux lends an alliterative lilt to the nickname, but it fits perfectly for its opposite implications.

Remark 5 Observe that the opposite implications in Lemma 6 in general need not hold.

Moreover, it appears that fructose orally ingested may cross the BBB to a small extent compared to glucose, which may have two opposite implications: 1) the limited fructose access to glucose-sensing neurons could contribute to the deregulation of food intake and energy balance, or 2) fructose might have no effect at all on appetite regulation due to the lack of fructose transport to the brain.

Whiteness has an equal and opposite derogatory implication.

In contrast, when a company provides a correction (alone or with a prior retraction) with an opposite earnings implication, investors tend to over-adjust.

In fact, partial activation (or deactivation) within the same pathway can have very different (and sometimes opposite) biological implications.