Sentence examples for the converse relation from inspiring English sources

It is clear that the following implication relation holds: (F Cto H) is k-Lipschitz continuous ⇒ F is continuous ⇒ F is demicontinuous ⇒ F is hemicontinuous, however, the converse relation does not hold true, which can be seen from the following counterexample.

Indeed, Whitehead and Russell specified this convention for relations in extension (on p. 200 in the introductory material of *21, in terms of the order of the variables), but the ambiguity it brought out most clearly by using λ notation: the first denotes the relation of being an x and y such that φxy and the second denotes the converse relation of being a y and x such that φxy.

Utilizing a cohort of 18,631 same-sex twins, we recently showed that poor sleep quality correlates with subsequent onset of depressed mood, whereas the converse relation was not supported [21].

In correct trials we observed many instances in which subjects showed high confidence for the position but not for letter-identity, and very rarely the converse relation, i.e. trials in which subjects were certain about the target they saw, but uncertain about their position relative to the cue (Figure 2E).

The trade-off reflects co-ordinated adjustment of plant gas exchange and hydraulic system to long-term water deficit, but not a response to rapidly-imposed interference; therefore, the converse relation was discovered only in intact branches.

However, this rule may not have much biological relevance unless the converse relation holds as well, i.e. whenever phenotype C is observed, COG A and COG B tend to be present.

The converse inclusion relation that ' Fix ( T ) ⊂ Fix ( T Q ) ' is obvious, consequently, Fix ( T ) = Fix ( T Q ).

In fact, since the local upper Lipschitzian selection of M implies the inner semicontinuity and inner semicompactness of M, the converse include relations in Theorem 3.2 can be written as equalities.

The converse of the relation of occurrence is the relation of possession.

1. Cf. also Broad 1923, pp. 246-7 and 1938, p. 66. 2. The relation of acquaintance is, as Broad says, the converse of the relation of manifestation (1925, p. 634).

And the converse of the relation usually is not correct.