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2005/11/12 | [Hasse Principle]
类别(∑〖数学〗)
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发表于 11:09
A collection of equations satisfies the Hasse principle if, whenever one of the equations has solutions in
and all the
, then the equations have solutions in the
rationals
. Examples include the set of equations
with
,
, and
integers
, and the set of equations
for
rational. The trivial solution
is usually not taken into account when deciding if a collection of homogeneous equations satisfies the Hasse principle. The Hasse principle is sometimes called the local-global principle.
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