fixed point


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Related to fixed point: Fixed point number, Fixed point theorem

fixed point

n
1. (General Physics) physics a reproducible invariant temperature; the boiling point, freezing point, or triple point of a substance, such as water, that is used to calibrate a thermometer or define a temperature scale
2. (Mathematics) maths a point that is not moved by a given transformation
Translations
pevný bod
References in classic literature ?
What I think of on this point is, when self is the fixed point the centripetal force is balanced with the centrifugal.
The most simple and familiar portion of time, applicable to the subject was that of a year; and hence the doctrine has been inculcated by a laudable zeal, to erect some barrier against the gradual innovations of an unlimited government, that the advance towards tyranny was to be calculated by the distance of departure from the fixed point of annual elections.
We must suppose the Melipona to make her cells truly spherical, and of equal sizes; and this would not be very surprising, seeing that she already does so to a certain extent, and seeing what perfectly cylindrical burrows in wood many insects can make, apparently by turning round on a fixed point.
They were to windward of the schooner, just ready to flirt the dory over the still sea, when sounds of woe half a mile off led them to Penn, who was careering around a fixed point, for all the world like a gigantic water-bug.
You see, Mister O'Hara, I do not know what the deuce-an'- all I shall do when I find our sporting friends; but if you will kindly keep within sight of my umbrella, which is fine fixed point for cadastral survey, I shall feel much better.
As she passed down the line, her light figure swinging from hand to hand in circles of increasing swiftness, the scarf flew off her head and stood out behind her shoulders, and Frome, at each turn, caught sight of her laughing panting lips, the cloud of dark hair about her forehead, and the dark eyes which seemed the only fixed points in a maze of flying lines.
Given an action of S on K, an element x [member of] K is said to be a common fixed point for S if it is subject to the condition bs(x) = x for all s [member of] S.
To apply the fixed point theory, we firstly define a complete metric space [OMEGA] = [[OMEGA].
The exploration of common fixed point theory is an active field of research activity since 1976.
They proved some fixed point results for a pair of mappings for contraction condition satisfying a rational expression.
Note that that each Caristi mapping on a complete metric space has a fixed point.
In [8], Gnana Bhaskar and Lakshmikantham established some coupled fixed point theorems and applied these results to study the existence and uniqueness of solution for periodic boundary value problems.