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单词 Different
释义

Different

Two quantities are said to be different (or ``unequal'') if they are not Equal.


The term ``different'' also has a technical usage related to Modules. Let a Module in an Integral Domain for be expressed using a two-element basis as


where and are in . Then the different of the Module is defined as


The different Iff and are linearly independent. The Discriminant is defined as the square of the different.

See also Discriminant (Module), Equal, Module


References

Cohn, H. Advanced Number Theory. New York: Dover, pp. 72-73, 1980.

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