Sentence examples for ordered fields from inspiring English sources

The models of this are called real-closed ordered fields.

To use modern terminology, Peirce was claiming to have shown the existence of ordered fields that were non-Archimedean.

Peirce certainly says many things that are quite suggestive of the construction of non-standard models of the theory of ordered fields by means of using equivalence classes of countably infinite Cartesian Products of the standard real numbers and then applying Loś's Theorem.

Then, we put together a conceptual framework that situates modes of governance into an ordered field.

In September, LAPD brass ordered field officers to carry the devices on their holsters unless they weren't available.

The F.B.I. is ordering field supervisors to count the number of mosques and Muslims in their areas as part of the antiterrorism effort.

Counting Mosques The F.B.I. is ordering field supervisors around the country to conduct a count of the number of mosques and Muslims in their local areas as part of its anti-terrorism effort.

A report in August found that the Agriculture Department often failed to order field inspections to follow up on suspicious claims from farmers that adjusters had approved, "increasing the likelihood that fraud, waste or abuse occurred without detection".

An acrylate monomer having a cyanobiphenyl mesogen (1) was photopolymerized in a liquid-crystalline (LC) ordering field of 4-hexyloxybenzoic acid (2).

This single result is used in Figure 1 as a first guess for where the equilibrium cation/oxygen/vacancy ordering field might be approximately located.

In this paper two new posibilities for implementing HVE in prime order fields are presented.