This type is not realized in the ordered field of rational numbers, but is realized in the ordered field of reals.
42.
They have ordered field offices to do comprehensive inventories by Sept . 30 of all equipment worth more than $ 500.
43.
*PM : Archimedean ordered fields are real, id = 9819 new !-- WP guess : Archimedean ordered fields are real-- Status:
44.
This type is not realized in the ordered field of rational numbers, but is realized in the ordered field of reals.
45.
The fact that the field of the reals number is an ordered field should not be ignored in such a study.
46.
Similarly, the completeness property cannot be expected to carry over, because the reals are the unique complete ordered field up to isomorphism.
47.
A closely related concept is that of a Euclidean field, namely an ordered field whose positive elements are closed under square root.
48.
Describing the square root of 2 are consistent with the axioms of ordered fields, and can be extended to a complete type.
49.
It follows that rays exist only for geometries for which this notion exists, typically Euclidean geometry or affine geometry over an ordered field.
50.
The Centers for Disease Control and Prevention on Friday characterized the outbreak as a likely epidemic and ordered field teams to help states deal with the outbreak.
