More generally a finite degree extension of a Hilbertian field is Hilbertian and any finitely generated infinite field is Hilbertian.
2.
I'm especially curious about infinite fields with finite characteristic, though, which can be given interesting topologies.
3.
Defined Ree groups over infinite fields of characteristics 2 and 3 . and introduced Ree groups of infinite-dimensional Kac Moody algebras.
4.
If the geometry is defined over an infinite field, the same result holds but " desarguesian " must be replaced by " pappian ".
5.
If " K " is an infinite field, two different polynomials define different polynomial functions, but this property is false for finite fields.
6.
Surprisingly, the classical Euclid's algorithm turned out to be inefficient for polynomials over infinite fields, and thus new algorithms needed to be developed.
7.
For infinite fields the conditions are equivalent, but for finite fields they are not, and the weaker condition is the " wrong " one and does not behave well.
8.
*PM : example of an infinite field of finite characteristic, id = 3635-- WP guess : example of an infinite field of finite characteristic-- Status:
9.
*PM : example of an infinite field of finite characteristic, id = 3635-- WP guess : example of an infinite field of finite characteristic-- Status:
10.
It is important to note that there are nearly infinite field conditions that will affect sound isolation " in situ " when designing or remodeling building partitions and enclosures.
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