Discrete Laplace Operator

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the discrete Laplace operator is an analog of the continuous Laplace operator, defined so that it has meaning on a graph or a discrete grid. For the case of a finite-dimensional graph (having a finite number of edges and vertices), the discrete Laplace operator is more commonly called the Laplacian matrix. The discrete Laplace operator occurs in physics problems such as the Ising model and loop quantum gravity, as well as in the study of discrete dynamical systems. It is also used in numerical analysis as a stand-in for the continuous Laplace operator. Common applications include image processing, where it is known as the Laplace filter, and in machine learning for clustering and semi-supervised learning on neighborhood graphs.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131325601
    • Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
    • Größe H220mm x B8mm x T150mm
    • EAN 9786131325601
    • Format Fachbuch
    • Titel Discrete Laplace Operator
    • Gewicht 209g
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 144
    • Genre Mathematik

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