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Triadic closure is a concept in social network theory, first suggested by German sociologist Georg Simmel in his 1908 book Soziologie [Sociology: Investigations on the Forms of Sociation]. [1] Triadic closure is the property among three nodes A, B, and C (representing people, for instance), that if the connections A-B and A-C exist, there is a ...
The bundle of 0-forms is the trivial bundle, and a section of the direct sum of the tangent bundle and the trivial bundle defines a circle invariant vector field on this circle bundle. Concretely, a section of the sum of the tangent and trivial bundles is given by a vector field X {\displaystyle X} and a function f {\displaystyle f} and the ...
The definition of a point of closure of a set is closely related to the definition of a limit point of a set.The difference between the two definitions is subtle but important – namely, in the definition of a limit point of a set , every neighbourhood of must contain a point of other than itself, i.e., each neighbourhood of obviously has but it also must have a point of that is not equal to ...
Bundling is most successful when: There are economies of scale in production.; There are economies of scope in distribution. This can be seen in consumer electronics bundles where a big box electronics store offers all of the components for a home theatre setup (DVD player, flatscreen TV, surround sound speakers, receiver, subwoofer) for a lower price than if each component were to be ...
In abstract algebra, the direct sum is a construction which combines several modules into a new, larger module. The direct sum of modules is the smallest module which contains the given modules as submodules with no "unnecessary" constraints, making it an example of a coproduct.
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