| 1. | As a simple example, consider the Laplace operator ?.
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| 2. | An example is the two-dimensional Laplace operator
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| 3. | Where " 2 is the Laplace operator.
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| 4. | The simplest example of an operator on a metric graph is the Laplace operator.
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| 5. | Similar methods are used to construct discrete Laplace operators on point clouds for manifold learning.
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| 6. | The Laplace operator ? and the partial derivative operator will commute on this class of functions.
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| 7. | The Laplace operator & Delta; is then the composition of the divergence and gradient operators:
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| 8. | Where ? denotes the Laplace operator.
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| 9. | It is also used in numerical analysis as a stand-in for the continuous Laplace operator.
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| 10. | The Laplacian matrix can be interpreted as a matrix representation of a particular case of the discrete Laplace operator.
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