| 21. | Hence the resulting field is an ordered field.
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| 22. | Similarly in the class of ordered fields, the existentially closed structures are the real closed fields.
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| 23. | Every subfield of an ordered field is also an ordered field ( inheriting the induced ordering ).
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| 24. | For an ordered field, Cauchy completeness is weaker than the other forms of completeness on this page.
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| 25. | Every subfield of an ordered field is also an ordered field ( inheriting the induced ordering ).
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| 26. | I'm not sure why the rational numbers don't count-by my understanding, they are a totally ordered field.
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| 27. | To assure his profits, Katzenberg wrote a letter that ordered Fields to be " an absolute killer ."
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| 28. | A court-ordered field test in March simulated aspects of the siege using heat-sensing FLIR, or forward-looking infrared, equipment.
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| 29. | Thus, an ordered field necessarily contains an infinite number of elements : a finite field cannot be ordered.
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| 30. | It can be shown that any ordered field, which is also complete, is isomorphic to the real numbers.
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