pythagorean closure造句

The Pythagorean closure of a non-archimedean ordered field, such as the Pythagorean closure of the field of rational functions "'Q "'( " t " ) in one variable over the rational numbers "'Q "', can be used to construct non-archimedean geometries that satisfy many of Hilbert's axioms but not his axiom of completeness.
The Pythagorean closure of a non-archimedean ordered field, such as the Pythagorean closure of the field of rational functions "'Q "'( " t " ) in one variable over the rational numbers "'Q "', can be used to construct non-archimedean geometries that satisfy many of Hilbert's axioms but not his axiom of completeness.
To construct his geometries, Dehn used a non-Archimedean ordered Pythagorean field ? ( " t " ), a Pythagorean closure of the field of rational functions "'R "'( " t " ), consisting of the smallest field of real-valued functions on the real line containing the real constants, the identity function " t " ( taking any real number to itself ) and closed under the operation ? ?! " ( 1 + ? 2 ).
It's difficult to find pythagorean closure in a sentence. 用pythagorean closure造句挺难的