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1. Logic maths of a relation
a. applying more narrowly than some other relation often given the same name, as strict inclusion, which holds only between pairs of sets that are distinct, while simple inclusion permits the case in which they are identical
b. distinguished from a relation of the same name that is not the subject of formal study
2. Botany rare very straight, narrow, and upright


A function f is strict in an argument if

f bottom = bottom

(See bottom). In other words, the result depends on the argument so evaluation of an application of the function cannot terminate until evaluation of the argument has terminated.

If the result is only bottom when the argument is bottom then the function is also bottom-unique.

See also strict evaluation, hyperstrict.
References in classic literature ?
She had done wrong--she admitted it, she only hoped that she had not done harm; she had told Eleanor in the strictest confidence.
With the strictest truth, for his momentary hesitation was gone (it had not lasted a minute), and his fine, sensible, cordial, sterling manner was restored.
This seemed the word of separation, and Catherine found herself hurried away by Miss Tilney in such a manner as convinced her that the strictest punctuality to the family hours would be expected at Northanger.
Intending only to lie, I found myself telling little but the strictest truth, and longing for sleep as passionately as though I had nothing to keep me awake.
However, in this country of barbarians and fanatics, prudence obliged him to take the strictest precautions.
This, however, was not all the king had to submit to; he was obliged to undergo the usual ceremony, which on that evening was marked by close adherence to the strictest etiquette.
The first lines contained an urgent entreaty to keep the circumstances connected with the loss of the five hundred pounds the strictest secret from everyone in general, and from Hardyman in particular.
Now, in you we can repose the strictest confidence; in you we have seen--or at least I have seen, and that's the same thing, for there's no difference between me and my brother Ned, except that he is the finest creature that ever lived, and that there is not, and never will be, anybody like him in all the world--in you we have seen domestic virtues and affections, and delicacy of feeling, which exactly qualify you for such an office.
Mr Cheeryble, being of course wholly unsuspicious that such reflections were presenting themselves to his young friend, proceeded to give him the needful credentials and directions for his first visit, which was to be made next morning; and all preliminaries being arranged, and the strictest secrecy enjoined, Nicholas walked home for the night very thoughtfully indeed.
In the strictest theory there should be an essential connection between them; for instance, they may illustrate different and perhaps contrasting aspects of the general theme.
She demanded to apply strictest punishments against those who inflict such abuse on children.
We will treat any information in the strictest of condence and respect the anonymity of callers if this is a concern.