Crossword clues for overspill
Longman Dictionary of Contemporary English
Wiktionary
n. That which spills over. vb. To spill over, to overflow, to spill out of.
WordNet
n. too much population [syn: overpopulation]
the occurrence of surplus liquid (as water) exceeding the limit or capacity [syn: overflow, runoff]
[also: overspilt]
Wikipedia
In non-standard analysis, a branch of mathematics, overspill (referred to as overflow by Goldblatt (1998, p. 129)) is a widely used proof technique. It is based on the fact that the set of standard natural numbers N is not an internal subset of the internal set *N of hypernatural numbers.
By applying the induction principle for the standard integers N and the transfer principle we get the principle of internal induction:
For any internal subset A of *N, if
:# 1 is an element of A, and
:# for every element n of A, n + 1 also belongs to A, then
A = *NIf N were an internal set, then instantiating the internal induction principle with N, it would follow N = *N which is known not to be the case.
The overspill principle has a number of useful consequences:
- The set of standard hyperreals is not internal.
- The set of bounded hyperreals is not internal.
- The set of infinitesimal hyperreals is not internal.
In particular:
- If an internal set contains all infinitesimal non-negative hyperreals, it contains a positive non-infinitesimal (or appreciable) hyperreal.
- If an internal set contains N it contains an unlimited (infinite) element of *N.
Usage examples of "overspill".
Given their position, there would be no overspill falling on the populated inner system, Syrinx realized, no chance of being detected even in a few hours when the radio waves finally bridged the gulf.
They were weak, random fragments of overspill from the communication beams of starships entering orbit above Lalonde.
She was watching Syrinx and Mosul with quiet amusement, enjoying the vaguely erotic overspill of their growing rapport.
A warm overspill of gently erotic images came foaming out of her drowsy mind.
We thought, instead, there may be some residual energy overspill in the same way the possessed betray their presence.
Surely you’re not converting the energistic overspill from the beyond directly into protein?
Already the neat filigree of pretty streams was clogging with soggy mush, overspill channels were blocked, pools were flooding the surrounding ground.
And, for the sake of generations still to come, we must start now on the most gigantic overspill scheme in our history - the selecting of other planetary homes where man could survive - together with an all-out technological drive to produce the means of getting him there.
An overspill world that could feed and shelter their chosen colonists until the prying fleet of wandering satellites found permanent worlds for them outside their own system, and until they had finally developed techniques for interstellar travel.
There seems no doubt that throughout the bustling universe advanced societies are, at this moment, actively engaged in colonizing other planets within their systems, just as our own bulging cities on Earth are spreading their industrial and residential overspill farther and farther into the rural countryside.
Perhaps from an original population of something double that of present-day mankind, some half a million would be chosen for the overspill scheme.
The wall behind him was locked into the overspill from a microspy perched on a window-ledge in Dragulic.
She saw herself in the video overspill from the scanners that preened and stared throughout the lifesystem, saw herself in shadows, saw herself lurking behind dark corners.
She could see the hellhound outside, imagining it in her mind's eye: jaws like diamond saw blades, wide-set eyes glowing with the overspill from its phased-array lidar.
Scuffling and voices and, frighteningly, a faint overspill of light from a hand torch.