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What is Overview of Legendre-Fenchel Transform about?

This document provides an overview of the Legendre-Fenchel transform, a generalization of the Legendre transform used in physics, detailing its definitions, properties, and applications in statistical mechanics. It emphasizes the importance of understanding the differences between the two transforms and includes mathematical formulations, examples, and theorems related to convexity and supporting lines. The report concludes with discussions on the conditions under which the Legendre-Fenchel transform is inv

Author

lee Dog

Language

EN