Faster access than browser!Similarities between Betti number and Laplace operator
Betti number and Laplace operator have 3 things in common (in Unionpedia): De Rham cohomology, Exterior derivative, Hodge theory.
De Rham cohomology
In mathematics, de Rham cohomology (after Georges de Rham) is a tool belonging both to algebraic topology and to differential topology, capable of expressing basic topological information about smooth manifolds in a form particularly adapted to computation and the concrete representation of cohomology classes.
Betti number and De Rham cohomology · De Rham cohomology and Laplace operator ·
Exterior derivative
On a differentiable manifold, the exterior derivative extends the concept of the differential of a function to differential forms of higher degree.
Betti number and Exterior derivative · Exterior derivative and Laplace operator ·
Hodge theory
In mathematics, Hodge theory, named after W. V. D. Hodge, uses partial differential equations to study the cohomology groups of a smooth manifold M. The key tool is the Laplacian operator associated to a Riemannian metric on M. The theory was developed by Hodge in the 1930s as an extension of de Rham cohomology.
Betti number and Hodge theory · Hodge theory and Laplace operator ·
The list above answers the following questions
- What Betti number and Laplace operator have in common
- What are the similarities between Betti number and Laplace operator
Betti number and Laplace operator Comparison
Betti number has 49 relations, while Laplace operator has 116. As they have in common 3, the Jaccard index is 1.82% = 3 / (49 + 116).
References
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