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Article | REF: AF220 V1

Convex Geometry II. Distances and Measures, Approximation, Comparison and Symmetrisation

Author: Jean-Charles PINOLI

Publication date: November 10, 2020

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9. Geometric inequalities and equalities

In n-dimensional Euclidean spaces ℝ2n , there are so-called geometric inequalities and equalities linking several geometric quantities. Most of these were established in the 19th and especially 20th centuries .

Geometric inequalities and equalities are used in stereology (Stereologie), geometric tomography (Geometric Tomography), optimal control and partial differential equations (Optimal Control and Partial Differential Equations)

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