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David Hilbert

The life of David Hilbert - The Mathematician Who Redefined Truth


Einstein-Hilbert Action

The action that yields the Einstein field equations of general relativity.

\[ S = \int \sqrt{-g} R \, d^4x \]

Hilbert Space Inner Product

Generalizing Euclidean space to infinite dimensions.

\[ \langle f, g \rangle = \int_a^b f(x) \overline{g(x)} \, dx \]

Sources: https://mathshistory.st-andrews.ac.uk/Biographies/Hilbert/

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