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Sentences with FIBER-BUNDLE

Check out our example sentences below to help you understand the context.

Sentences

1
"The fiber bundle consists of a collection of fibers over a common base space."
2
"In differential geometry, a principal fiber bundle is a fiber bundle where the fibers carry additional structure."
3
"The tangent bundle is an example of a vector bundle, which is a type of fiber bundle."
4
"In mathematics, a fiber bundle is a space that locally looks like a product space, but globally may have a different topological structure."
5
"A twisted bundle is a kind of fiber bundle in which the twists are localized in certain regions."
6
"The total space of a fiber bundle is the set of all possible fibers."
7
"The fiber bundle can be visualized as a collection of fibers wrapped over a base manifold."
8
"The cross-section of a fiber bundle is a continuous section that passes through every point of the base space."
9
"The fiber bundle can have different dimensions for its fibers depending on the application."
10
"A trivial fiber bundle is one where the product space structure holds globally."
11
"The Klein bottle is an example of a non-orientable surface that can be represented as a fiber bundle."
12
"The total space of a fiber bundle can have a different dimensionality than the base space."
13
"The Seifert fiber space is a type of three-dimensional fiber bundle."
14
"A principal fiber bundle has a group acting on the fibers in a coherent way."
15
"The Hopf fibration is a famous example of a fiber bundle in topology."
16
"A fiber bundle can be equipped with a fiber metric, which assigns a distance to each fiber."
17
"Topological vector bundles are a generalization of fiber bundles where the fibers may be vector spaces but not necessarily."
1
"The fiber bundle connects the brain's two hemispheres."
2
"The optic nerve is a fiber bundle that carries visual signals from the eye to the brain."
3
"In telecommunications, a fiber bundle consists of multiple optical fibers bundled together for increased data capacity."
4
"The spinal cord contains numerous fiber bundles that transmit sensory and motor signals."
5
"A fiber bundle in mathematics refers to a topological space that is locally a product space."
6
"High-speed internet is delivered through a fiber bundle network in many urban areas."
7
"A fiber bundle can be thought of as a bundle of individual threads woven together."
8
"The fiber bundle allows for efficient transmission of signals between different parts of a neuron."
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