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The language of fibre bundles allows this notion of a section to be generalized to the case when is not necessarily a Cartesian product. If π : E → B {\displaystyle \pi \colon E\to B} is a fibre bundle, then a section is a choice of point σ ( x ) {\displaystyle \sigma (x)} in each of the fibres.
Template matching [1] is a technique in digital image processing for finding small parts of an image which match a template image. It can be used for quality control in manufacturing, [ 2 ] navigation of mobile robots , [ 3 ] or edge detection in images.
A bundle map from the base space itself (with the identity mapping as projection) to is called a section of . Fiber bundles can be specialized in a number of ways, the most common of which is requiring that the transition maps between the local trivial patches lie in a certain topological group, known as the structure group, acting on the fiber .
The Hom-bundle Hom(E, F) is a vector bundle whose fiber at x is the space of linear maps from E x to F x (which is often denoted Hom(E x, F x) or L(E x, F x)). The Hom-bundle is so-called (and useful) because there is a bijection between vector bundle homomorphisms from E to F over X and sections of Hom(E, F) over X.
This image shows points on S 2 and their corresponding fibers with the same color. Pairwise linked keyrings mimic part of the Hopf fibration. In differential topology, the Hopf fibration (also known as the Hopf bundle or Hopf map) describes a 3-sphere (a hypersphere in four-dimensional space) in terms of circles and an ordinary sphere.
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Alice scores one match point and leads the match one to zero. 1-0: 2: 121: 119: Alice quite narrowly beats Bob with Bob well past the skunk line (not skunked) for a simple win. Alice scores one match point and now leads two to zero. 2-0: 3: 82: 121: Bob easily beats Alice with Alice not passing the skunk line but passing the double skunk line ...
Cribbage, or crib, is a card game, traditionally for two players, that involves playing and grouping cards in combinations which gain points. It can be adapted for three or four players. It can be adapted for three or four players.