bundle

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bundle

1. Biology a collection of strands of specialized tissue such as nerve fibres
2. Botany short for vascular bundle
3. Textiles a measure of yarn or cloth; 60 000 yards of linen yarn; 5 or 10 pounds of cotton hanks

Bundle

 

in mathematics, a two-parameter family of curves in the plane or in space that are linear functions of the parameters. Suppose F1, F2, and F3 are functions of two variables and none of the functions is a linear combination of the other two. The family of curves in the plane that are determined by the equation

(*) λ1F1 + λ2F2 + λ3F3 = 0

for all possible values of the parameters λ1, λ2, and λ3 (except for the case λ1 = 0, λ2 = 0, and λ3 = 0) constitutes a bundle. Equation (*) is in fact a function of two parameters—that is, of the two ratios λ1: λ2: λ3. In addition, it is immediately apparent that the parameters occur in this equation linearly. The equation of a bundle of surfaces in space is formed analogously. The three equations F1 = 0, F2 = 0, and F3 = 0 yield three elements of the bundle (three curves of three surfaces), which determine the entire bundle.

Bundles are usually considered whose elements are similar in certain respects; examples are a bundle of circles and a bundle of planes. We sometimes also speak of a bundle of lines in space; although the bundle is considered in space, its elements are curves rather than surfaces. Nevertheless, this case can be reduced to the case of a bundle of planes, since the pairwise intersections of elements of a bundle of planes determine a set of lines. In projective geometry, a bundle is understood to mean both sets—lines and planes—at once.

bundle

[′bən·dəl]
(mathematics)
A triple (E, p, B), where E and B are topological spaces and p is a continuous map of E onto B ; intuitively E is the collection of inverse images under p of points from B glued together by the topology of X.

bundle

(1) To sell hardware and software as a combined product or to combine several software packages for sale as a single unit. Contrast with unbundle. See bundled software and bundling.

(2) A collection of files that are treated as one. See APP file.
References in classic literature ?
The father had long ago taken up his bundle and bidden himself away with it, when the women who had tended the bundle while it lay on the base of the fountain, sat there watching the running of the water and the rolling of the Fancy Ball--when the one woman who had stood conspicuous, knitting, still knitted on with the steadfastness of Fate.
Soothed by my exertions, my method, and Herbert's compliments, I would sit with his symmetrical bundle and my own on the table before me among the stationary, and feel like a Bank of some sort, rather than a private individual.
But the bundle of medicines that held the living one I fastened across my shoulders.
But give ME the bundle," he added, trying to reach it from the fork, where it hung high above Jacob's tall shoulder.
Well, I could do wi't, if so be ye want to get rid on't," said the disinterested cousin, walking quickly away with the bundle, lest Chad's Bess should change her mind.
One morning I made a rent in this mantle; and to show the islanders with what facility it could be repaired, I lowered my bundle, and taking from it a needle and thread, proceeded to stitch up the opening.
And now," says Tony, stirring the fire, "touching this same bundle of letters.
Dropping his bundle of arrows at the foot of the tree, Tarzan crept among the shadows at the side of the street until he came to the same hut he had entered on the occasion of his first visit.
I suppose your whole set-up is in that bundle, then?
So Scraps and Ojo picked up all the quills and tied them in a bundle so they might easily be carried.
On one arm he carried a bundle, evidently his blankets.
The bundle is ready," she continued, closing the door after De Vac, who had now entered, "and here be the key; but first let us have a payment.