# continuous

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## continuous

Maths (of a function or curve) changing gradually in value as the variable changes in value. A function f is continuous if at every value a of the independent variable the difference between f(x) and f(a) approaches zero as x approaches a.
References in classic literature ?
But in spite of this, Don Quixote did not leave off discharging a continuous rain of cuts, slashes, downstrokes, and backstrokes, and at length, in less than the space of two credos, he brought the whole show to the ground, with all its fittings and figures shivered and knocked to pieces, King Marsilio badly wounded, and the Emperor Charlemagne with his crown and head split in two.
I was disposed straightway to search for other truths and when I had represented to myself the object of the geometers, which I conceived to be a continuous body or a space indefinitely extended in length, breadth, and height or depth, divisible into divers parts which admit of different figures and sizes, and of being moved or transposed in all manner of ways(for all this the geometers suppose to be in the object they contemplate), I went over some of their simplest demonstrations.
Such a birth requires, as its antecedents, not only a series of carefully arranged intermarriages, but also a long, continued exercise of frugality and self-control on the part of the would-be ancestors of the coming Equilateral, and a patient, systematic, and continuous development of the Isosceles intellect through many generations.
Our warriors then rushed up to the roofs of the buildings which we occupied and followed the retreating armada with a continuous fusillade of deadly fire.
Towards morning I slept and was wakened by the continuous knocking at my door, so I guess I must have been sleeping soundly then.
When the apparatus is at work this gas becomes luminous, giving out a white and continuous light.
I do not think I have ever heard quite so much vile language come in a continuous stream from any man's lips before, though I have frequented eccentric company enough.
Presently, as I went on, still gaining velocity, the palpitation of night and day merged into one continuous greyness; the sky took on a wonderful deepness of blue, a splendid luminous color like that of early twilight; the jerking sun became a streak of fire, a brilliant arch, in space; the moon a fainter fluctuating band; and I could see nothing of the stars, save now and then a brighter circle flickering in the blue.
They seemed busy in their pit, and there was a sound of hammering and an almost continuous streamer of smoke.
An action which is one and continuous in the sense above defined, I call Simple, when the change of fortune takes place without Reversal of the Situation and without Recognition.
In that case Felton would escape her--for in order to secure success, the magic of a continuous seduction was necessary.
On serious ground, I would try to ensure a continuous stream of supplies.

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