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Nash

Nash is a surname and given name used in English-speaking regions, and it appears in place names and mathematical concepts as well. The most prominent bearer is John Forbes Nash Jr. (1928–2015), an American mathematician whose work spanned game theory, geometry, and analysis. In game theory, he introduced the Nash equilibrium, a stable situation in which no player can improve their outcome by unilaterally changing their strategy. In differential geometry, he proved the Nash embedding theorem, which shows that any abstract Riemannian manifold can be isometrically embedded in a Euclidean space. He also contributed to nonlinear analysis; the Nash–Moser inverse function theorem bears his name. His life and work were popularized by the film A Beautiful Mind.

Geographically, Nash appears in place names in the United States, including Nash County, North Carolina. In

As a surname, Nash is borne by many people across fields such as science, literature, and public

statistics
and
hydrology,
the
Nash–Sutcliffe
efficiency
coefficient,
named
after
Nash
and
Sutcliffe,
is
used
to
assess
how
well
modeled
data
matches
observations.
life.
The
name
continues
to
be
used
as
a
given
name
as
well,
though
less
commonly.