| 11. | The Hodge Laplacian on a compact manifold has nonnegative spectrum.
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| 12. | For three dimensions the laplacian operator is used in the schrodinger equation.
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| 13. | Where \ triangle \ equiv \ nabla ^ 2 is the Laplacian.
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| 14. | They provide a novel framework for solving the graph Laplacian.
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| 15. | More generally, the " Hodge " Laplacian is defined on differential forms by
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| 16. | Laplacian Eigenmaps uses spectral techniques to perform dimensionality reduction.
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| 17. | Then, the discrete Laplacian \ Delta acting on \ phi is defined by
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| 18. | Which is an eigenfunction of the Laplacian ? " A ".
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| 19. | In the upper half-plane model the Laplacian is given by the formula
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| 20. | Krylov basis construction uses the actual transition matrix instead of random walk Laplacian.
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