Simplicial homology

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위키데이터

• ID : Q7520902

말뭉치

1. The term simplicial homology is also used in the literature for the homology of polyhedral spaces, based on the theory of simplicial complexes.
2. Simplicial homology arose as a way to study topological spaces whose building blocks are n-simplices, the n-dimensional analogs of triangles.
3. Simplicial homology is defined by a simple recipe for any abstract simplicial complex.
4. A key concept in defining simplicial homology is the notion of an orientation of a simplex.
5. This construction makes simplicial homology a functor from simplicial complexes to abelian groups.
6. Abstract : Simplicial homology is a tool that provides a mathematical way to compute the connectivity and the coverage of a cellular network without any node location information.
7. In this article, we use simplicial homology in order to not only compute the topology of a cellular network, but also to discover the clusters of nodes still with no location information.
8. The simplicial homology groups and their corresponding Betti numbers are topological invariants that characterize the -dimensional "holes" in the complex.
9. The simplicial homology global optimisation (SHGO) algorithm is a general purpose global optimisation algorithm based on applications of simplicial integral homology and combinatorial topology.

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위키데이터

• ID : Q7520902