Discrete Calculus: History and Future Part I: A Brief Review of Discrete Calculus Introduction to Discrete Calculus Circuit Theory and Other Discrete Physical Models Part II: Applications of Discrete Calculus Building a Weighted Complex from Data Filtering on Graphs Clustering and Segmentation Manifold Learning and Ranking Measuring Networks Representation and Storage of a Graph and Complex Optimization The Hodge Theorem: A Generalization of the Helmholtz Decomposition
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