2005/11/12 | [Hasse Principle]
类别(∑〖数学〗) | 评论(0) | 阅读(15) | 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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