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 ?
I have recovered the child, women," I said, as I undid the bundle.
Sherlock Holmes put the sopping bundle upon the table beside the lamp and undid the cord which bound it.
He took a good look at us all, and then to my amazement he advanced to me and handed me a bundle of paper.
That's all there," he indicated my bundle of papers, "and a mighty queer yarn you'll find it.
We tied all his things into a bundle, and I weighted them with the only weight I could find and put them through the window.
Excuse me," said the red-nosed man to the young fellow with the bundle, rather suddenly; "whom have I the honour to be talking to?
Five weeks since, I was just like yourself," continued Rogojin, addressing the prince, "with nothing but a bundle and the clothes I wore.
Take that bundle,' to go out again and seek for what might happen.
I was going through Lombard Street in the dusk of the evening, just by the end of Three King court, when on a sudden comes a fellow running by me as swift as lightning, and throws a bundle that was in his hand, just behind me, as I stood up against the corner of the house at the turning into the alley.
I see you pitch your Bargeman's bundle into the river.
Catching up from the table a piece of bread, and taking his Bargeman's bundle under his arm, Riderhood immediately followed him.