Looking at teen-age boys flying through the air on skateboards, Brad falls into a rapt silence; his longing for lost youth is so defenseless that it's impossible to dislike him, however irresolute he is as an adult.
(iii) Let ( H, T ) be sb-closed set of Z. Since g : Y → Z is sb-continuous, g - 1 ( ( H, T ) ) is sb-closed set of Y. Also f : X → Y is sb-irresolute, so every sb-closed set of Y is s b - closed in X.
Technically, this is said to be an irresolute procedure, and a tie-breaking rule needs to be combined if we wish to ensure a unique result (as common in social choice theory).
Thus Descartes advises Elizabeth that "though we cannot have certain demonstrations of everything, still we must take sides, and in matters of custom embrace the opinions that seem the most probable, so that we may never be irresolute when we need to act" (1645, 4 295, my emphasis).
A mapping f : X → Y is said to be soft b-irresolute (briefly sb-irresolute) if f - 1 ( ( F, K ) ) is sb-closed set in X, for every sb-closed set ( F, K ) in Y.
To equivocate is closer to prevaricate, dissimulate, which mean "to obscure so as to deceive," or more plainly, "to lie," and to dither, hesitate, falter is "to be irresolute in action, unsteady in belief".
To waver in coming to a conclusion, to be irresolute; to hesitate, delay.
But at a moment calling for decisiveness, he is, in Churchill's phrase, "resolved to be irresolute".
Excerpt: Many in the South [in early 1862] shared McClellan's opinion of Lee as "cautious & weak under grave responsibility … wanting in moral firmness when pressed by heavy responsibility … likely to be timid & irresolute in action".
In addition, prior studies did not examine the relationships between physical activity and depression in a large sample of adolescents from Nigeria, and data on level of depression and physical activity appear to be irresolute.
Alistair Darling has been resolutely irresolute.
