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 ?
Death is the king's medicine," I answered, lifting the bundle, and laying it as far from him in the shadow of the fence as I dared.
Near David, he felt himself in the vicinity of lozenges: he chuckled and rubbed his brother's back, brandishing the bundle higher out of reach.
When I saw him last, he took his cap off, took out the little bundle of old letters, hung his cap on the back of the chair--his coat was there already, for he had pulled that off before he went to put the shutters up--and I left him turning the letters over in his hand, standing just where that crumbled black thing is upon the floor.
Choosing a moment when none seemed near, Tarzan hastened to his bundle of arrows beneath the great tree at the end of the village street.
Your bundle has some importance, however," continued the clerk, when they had laughed their fill (it was observable that the subject of their mirth joined in the laughter when he saw them laughing); "for though I dare say it is not stuffed full of friedrichs d'or and louis d'or--judge from your costume and gaiters--still--if you can add to your possessions such a valuable property as a relation like Mrs.
When they came to a flat stone by the roadside the Shaggy Man sat down to rest, and then Ojo opened his basket and took out the bundle of charms the Crooked Magician had given him.
Quick hands snatched the bundle from the cook, and hungry mother arms folded the sleeping infant to her breast, while hot tears of joy ran down her cheeks and her whole frame shook with the emotion of the moment.
Fetch me the bundle, hag," replied De Vac, "and you shall have gold against a final settlement; more even than we bargained for if all goes well and thou holdest thy vile tongue.
A little checked silk was sent in our spring bundle from Mrs.
Uncle Alec was putting a large basket into the boat when she arrived, and before they were off Phebe came running down with a queer, knobby bundle done up in a water-proof.
He crept into one of these boxes and laid down there in the clothes in which he had left his home many days before, keep- ing his bundle and his stick by his side.
She carried a quantity of matches in an old apron, and she held a bundle of them in her hand.