Sentence examples for 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 ).

Since we found that p63 expression in CYT-1 expressing lesions is suppressed, this suggests a converse paracrine relation or feedback regulation between luminal epithelial ERBB4 and basal p63, wherein overexpression of CYT-1 isoform may be suppressing p63 expression.

In this section we give some weak, strong, converse duality relations between problems (D) and (FP).

We establish weak, strong and converse duality relations between (NFVP)′ and (NFVD ′.

The present paper is framed to study weak, strong and strict converse duality relations for a semi-infinite programming problem and its Wolfe and Mond-Weir-type dual programs under generalized ( H p, r ) -invexity.